Kazimir Majorinc http://kazimirmajorinc.blogspot.com http://instprog.com Lot of Reduced Lambda Expressions ------ 125001/12534753. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a b)(^x.x))(a (b a))) REDUCED to normal form. ------ 125002/12534771. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 125003/12534843. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) b)(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(b (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 125004/12534870. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 125005/12534897. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((b a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((b a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)((b a)(^z.a))) 6. ==[ alpha ]==> (((^x.x) a)((b a)(^y.a))) 7. ==[ beta ]==> (a ((b a)(^y.a))) 8. ==[ alpha ]==> (a ((b a)(^x.a))) REDUCED to normal form. ------ 125006/12534924. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 125007/12534951. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 125008/12534978. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)(^y.a))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.a))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.a))) REDUCED to normal form. ------ 125009/12534987. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)((a a) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.b)((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.b)((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 125010/12535014. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 125011/12535068. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a)(^z.z)))) 7. ==[ beta ]==> ((^y.(y y))((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 9. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 10. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 125012/12535149. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (b ((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 125013/12535203. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 125014/12535284. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 125015/12535365. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125016/12535491. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.y) a)) 3. ==[ beta ]==> ((a ((a a) a))((^y.y) a)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x) a)) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 125017/12535518. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 125018/12535590. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 125019/12535824. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 125020/12535905. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 125021/12535932. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 125022/12535986. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 125023/12536067. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(b a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125024/12536409. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 125025/12536643. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 125026/12536688. ------ 1. ==[ start ]==> (((^a.a)(b a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((b a)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 125027/12536769. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 125028/12536850. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125029/12536958. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(b a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(b a)) REDUCED to normal form. ------ 125030/12536976. ------ 1. ==[ start ]==> (((a a)(b a))((b a) a)) REDUCED to normal form. ------ 125031/12537003. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 125032/12537237. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a (b a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125033/12537552. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 125034/12537579. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 125035/12537633. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 125036/12537714. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125037/12537822. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125038/12537849. ------ 1. ==[ start ]==> ((a (^b.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 125039/12538029. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(a a)) b)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a)) b)) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 125040/12538056. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.b) c)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.b) c)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.b) c)) 5. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 125041/12538128. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125042/12538173. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c (^z.b))) 3. ==[ beta ]==> ((^y.y)(c (^z.b))) 4. ==[ alpha ]==> ((^x.x)(c (^y.b))) 5. ==[ beta ]==> (c (^y.b)) 6. ==[ alpha ]==> (c (^x.b)) REDUCED to normal form. ------ 125043/12538200. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b (^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 125044/12538335. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125045/12538443. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)((^x2.x2)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125046/12538497. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 125047/12538578. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 125048/12538614. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c ((a a) a))) 5. ==[ beta ]==> ((^y.(a a))(c ((a a) a))) 6. ==[ alpha ]==> ((^x.(a a))(c ((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 125049/12538641. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b (a b))) REDUCED to normal form. ------ 125050/12538659. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 125051/12538668. ------ 1. ==[ start ]==> (((a b)(^c.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(a (a a))) REDUCED to normal form. ------ 125052/12538695. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b)(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 125053/12538722. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 125054/12538776. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 125055/12538803. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((b (^x.x))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b (^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((b (^x.x))(a (^y.y))) REDUCED to normal form. ------ 125056/12538893. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a b)(^y.y))) 3. ==[ beta ]==> ((a (b a))((a b)(^y.y))) 4. ==[ alpha ]==> ((a (b a))((a b)(^x.x))) REDUCED to normal form. ------ 125057/12538920. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 125058/12538947. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.a))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.a))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.a))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 11. ==[ beta ]==> ((a a)(^y.a)) 12. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 125059/12538974. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 125060/12539001. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 125061/12539055. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a a)(^y.b))) REDUCED to normal form. ------ 125062/12539109. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((a a) a) b)) REDUCED to normal form. ------ 125063/12539136. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((b (a a))(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> ((b (a a))(((^x.x)(^y.y)) c)) 5. ==[ beta ]==> ((b (a a))((^y.y) c)) 6. ==[ alpha ]==> ((b (a a))((^x.x) c)) 7. ==[ beta ]==> ((b (a a)) c) REDUCED to normal form. ------ 125064/12539199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 125065/12539442. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(a (^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125066/12539523. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (((a a)(a a))(a ((^y.y) a))) 8. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 125067/12539550. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 125068/12539604. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y)((a a) a))) 3. ==[ beta ]==> (((b a)(b a))((^y.y)((a a) a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)((a a) a))) 5. ==[ beta ]==> (((b a)(b a))((a a) a)) REDUCED to normal form. ------ 125069/12539685. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 125070/12539748. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.x1))) REDUCED to normal form. ------ 125071/12539802. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a a)) REDUCED to normal form. ------ 125072/12539829. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 125073/12539856. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a ((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a ((^y.y) a))) 5. ==[ beta ]==> ((((a a)(a a))(^x.x))(a a)) REDUCED to normal form. ------ 125074/12539946. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 125075/12539973. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 125076/12540000. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.a))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 125077/12540027. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 125078/12540054. ------ 1. ==[ start ]==> (((a b)(a b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 125079/12540081. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (((a a)((a a) a))((^y.y) a)) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.x) a)) 7. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 125080/12540108. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (a a)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a)) b)) REDUCED to normal form. ------ 125081/12540216. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 125082/12540243. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(y y)) b)) 3. ==[ beta ]==> ((a (b (^x.x)))(b b)) REDUCED to normal form. ------ 125083/12540333. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(a (^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125084/12540414. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125085/12540522. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125086/12540558. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(a (a (a a)))) 3. ==[ beta ]==> ((b c)(a (a (a a)))) REDUCED to normal form. ------ 125087/12540585. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x) a)(a a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(a (a a))) REDUCED to normal form. ------ 125088/12540630. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(b (^z.a))) 3. ==[ beta ]==> ((b (^y.y))(b (^z.a))) 4. ==[ alpha ]==> ((b (^x.x))(b (^y.a))) REDUCED to normal form. ------ 125089/12540657. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(a (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 125090/12540693. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(c b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(c b)) 3. ==[ beta ]==> ((a (^y.y))(c b)) 4. ==[ alpha ]==> ((a (^x.x))(c b)) REDUCED to normal form. ------ 125091/12540711. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 125092/12540720. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(b c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b c)) REDUCED to normal form. ------ 125093/12540792. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125094/12540801. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(b (a (^y.y)))) REDUCED to normal form. ------ 125095/12540828. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(a ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.b))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.b))(a ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 125096/12540900. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(a (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125097/12540936. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(b b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(b b)) 3. ==[ beta ]==> ((b (^y.a))(b b)) 4. ==[ alpha ]==> ((b (^x.a))(b b)) REDUCED to normal form. ------ 125098/12541026. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 125099/12541053. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a))) b) REDUCED to normal form. ------ 125100/12541080. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a a)(^z.z))) 3. ==[ beta ]==> ((a ((^y.y) b))((a a)(^z.z))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a a)(^y.y))) 5. ==[ beta ]==> ((a b)((a a)(^y.y))) 6. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 125101/12541107. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a a) a)) REDUCED to normal form. ------ 125102/12541134. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.z) a)) 3. ==[ beta ]==> (((^y.y)(b a))((^z.z) a)) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.y) a)) 5. ==[ beta ]==> ((b a)((^y.y) a)) 6. ==[ alpha ]==> ((b a)((^x.x) a)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 125103/12541160. ------ 1. ==[ start ]==> (^a.(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.(((x x) x)((x x)(^y.y)))) REDUCED to normal form. ------ 125104/12541161. ------ 1. ==[ start ]==> (a (((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (a (((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 125105/12545079. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(y (^z.(^x1.x1))))) 3. ==[ eta ]==> (b (^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 125106/12545916. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(b x1))) 3. ==[ eta ]==> ((^x.(x (^y.(^z.z)))) b) 4. ==[ beta ]==> (b (^y.(^z.z))) 5. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 125107/12549834. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a))) a) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x))) a) REDUCED to normal form. ------ 125108/12549840. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 125109/12549867. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(b a))(((^y.y)(^z.z))(b a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(((^z.z)(^x1.x1))(b a))) 5. ==[ beta ]==> (((^y.y)(b a))(((^z.z)(^x1.x1))(b a))) 6. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z))(b a))) 7. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(b a))) 8. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(b a))) 9. ==[ beta ]==> ((b a)((^y.y)(b a))) 10. ==[ alpha ]==> ((b a)((^x.x)(b a))) 11. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 125110/12549894. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 125111/12549975. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)(b (^z.z)))) 3. ==[ beta ]==> (((a a)(b (^z.z)))(^y.y)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 125112/12550092. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 125113/12550761. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(b (^y.y)))) REDUCED to normal form. ------ 125114/12550785. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125115/12551481. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((a a)(a a)))) REDUCED to normal form. ------ 125116/12551550. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.(^x1.x1))) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 125117/12552498. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 125118/12552507. ------ 1. ==[ start ]==> (((a b) b)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a b) b)(^x.((^y.y) x))) 3. ==[ eta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 125119/12552840. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a ((a a) a))(^y.((^z.z) b))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.((^y.y) b))) 5. ==[ beta ]==> ((a ((a a) a))(^x.b)) REDUCED to normal form. ------ 125120/12552999. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((((a a) a)((a a) a))(((a a) a)((a a) a)))(^y.y)) 4. ==[ alpha ]==> (((((a a) a)((a a) a))(((a a) a)((a a) a)))(^x.x)) REDUCED to normal form. ------ 125121/12553452. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 125122/12553755. ------ 1. ==[ start ]==> ((^a.(b a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))(a (a (^y.(^z.z))))) 3. ==[ eta ]==> (b (a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 125123/12553758. ------ 1. ==[ start ]==> ((a (b a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 125124/12554592. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a (b a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a (b a))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 125125/12554595. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.(b a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(b z))) 3. ==[ eta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 125126/12555099. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 125127/12555351. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 125128/12555510. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 125129/12555801. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^z.(a a))) REDUCED to normal form. ------ 125130/12556017. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 125131/12556953. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.a))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.a))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.a))) REDUCED to normal form. ------ 125132/12557268. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 125133/12557565. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 125134/12557589. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (a a))(a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125135/12557907. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b c)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b c)(^x.(^y.(y y)))) REDUCED to normal form. ------ 125136/12558177. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 125137/12558249. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125138/12558258. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.x1))) REDUCED to normal form. ------ 125139/12558312. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 125140/12558375. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 125141/12558456. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.b)) REDUCED to normal form. ------ 125142/12558483. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(z z))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(z z))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(y y))) 5. ==[ beta ]==> ((b a)(^y.(y y))) 6. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 125143/12558510. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 125144/12558522. ------ 1. ==[ start ]==> ((a a)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 125145/12558549. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(b a))) 3. ==[ beta ]==> ((a (a a))((^y.y)(b a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(b a))) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 125146/12558576. ------ 1. ==[ start ]==> ((a b)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 125147/12558621. ------ 1. ==[ start ]==> (((^a.a) b)(c (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(c (^y.(a a)))) 3. ==[ beta ]==> (b (c (^y.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 125148/12558630. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 125149/12558657. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)(b (^y.y)))) REDUCED to normal form. ------ 125150/12558693. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((b (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 125151/12558720. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 125152/12558747. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((^y.y) b)(^z.a)) 6. ==[ alpha ]==> (((^x.x) b)(^y.a)) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 125153/12558756. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 125154/12558774. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 125155/12558855. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 125156/12558882. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 125157/12558891. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 125158/12558945. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 125159/12558963. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (a a))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 125160/12558972. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (^y1.(^z1.z1)))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.(^x2.x2))))) REDUCED to normal form. ------ 125161/12558999. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 125162/12559125. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) b) c)) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) b) c)) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) b) c)) 5. ==[ beta ]==> ((((^y.y) b) c)(((^y.y) b) c)) 6. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y) b) c)) 7. ==[ beta ]==> ((b c)(((^y.y) b) c)) 8. ==[ alpha ]==> ((b c)(((^x.x) b) c)) 9. ==[ beta ]==> ((b c)(b c)) REDUCED to normal form. ------ 125163/12559242. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 125164/12559269. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 125165/12559413. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(b ((a a)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b ((a a)(a a)))) REDUCED to normal form. ------ 125166/12559440. ------ 1. ==[ start ]==> (((a (a a))(a a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(a (b (^x.x)))) REDUCED to normal form. ------ 125167/12559467. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(a a))) REDUCED to normal form. ------ 125168/12559476. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125169/12559503. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1) c)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 125170/12559764. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> (((a a)(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 125171/12559791. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 125172/12559935. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 125173/12559989. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b)(^z.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b)(^z.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b)(^z.b))) 5. ==[ beta ]==> (a ((a b)(^z.b))) 6. ==[ alpha ]==> (a ((a b)(^x.b))) REDUCED to normal form. ------ 125174/12560025. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (b ((^y.a)((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 125175/12560052. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 125176/12560097. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 125177/12560106. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 125178/12560133. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 125179/12560160. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a)(a a))) REDUCED to normal form. ------ 125180/12560214. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 125181/12560232. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z))) c)) REDUCED to normal form. ------ 125182/12560403. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125183/12560583. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) c)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 125184/12560817. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 125185/12560844. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a) b)) REDUCED to normal form. ------ 125186/12560970. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125187/12561015. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.(a a))((a b)(^z.a))) 4. ==[ alpha ]==> ((^x.(a a))((a b)(^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 125188/12561042. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a) a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.b))) 5. ==[ beta ]==> (((a a) a)(^y.b)) 6. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 125189/12561096. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 125190/12561177. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (b ((a a)(^x1.x1))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 125191/12561186. ------ 1. ==[ start ]==> (((a b) b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a b) b)((^x.x)((^y.y) b))) 3. ==[ beta ]==> (((a b) b)((^y.y) b)) 4. ==[ alpha ]==> (((a b) b)((^x.x) b)) 5. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 125192/12561213. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 125193/12561231. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z))) b)) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z))) b)) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 125194/12561240. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 125195/12561258. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((b a) c)) 3. ==[ beta ]==> ((^y.y)((b a) c)) 4. ==[ alpha ]==> ((^x.x)((b a) c)) 5. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 125196/12561321. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 125197/12561348. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((^y.(y y))((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.a))) 7. ==[ beta ]==> (((^y.b)(^z.a))((^y.b)(^z.a))) 8. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.a))) 9. ==[ beta ]==> (b ((^z.b)(^x1.a))) 10. ==[ alpha ]==> (b ((^x.b)(^y.a))) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 125198/12561375. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 125199/12561402. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 125200/12561492. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 125201/12561519. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(a ((^y.y) b))) 3. ==[ beta ]==> ((a ((a a) a))(a ((^y.y) b))) 4. ==[ alpha ]==> ((a ((a a) a))(a ((^x.x) b))) 5. ==[ beta ]==> ((a ((a a) a))(a b)) REDUCED to normal form. ------ 125202/12561546. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 125203/12561573. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((b a)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))((b a)(a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 125204/12561600. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a) a)(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> ((((a a) a) a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 125205/12561627. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 125206/12561654. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))((a b)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))((a b)(^x.x))) REDUCED to normal form. ------ 125207/12561681. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 125208/12561852. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 125209/12561861. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a b) c)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 125210/12561933. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 125211/12561960. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 125212/12561969. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 125213/12561996. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)((a a) a))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)((a a) a))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 125214/12562014. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.b))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.b))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(^y.b)) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.b)) REDUCED to normal form. ------ 125215/12562050. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125216/12562077. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 125217/12562104. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 125218/12562131. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 125219/12562158. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 125220/12562410. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b (b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b (b a))) REDUCED to normal form. ------ 125221/12562437. ------ 1. ==[ start ]==> ((a (b a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 125222/12562671. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (^y.(^z.z)))) REDUCED to normal form. ------ 125223/12562743. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 125224/12562779. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 125225/12562797. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (((a b)(a b))((a a)(^y.a))) 6. ==[ alpha ]==> (((a b)(a b))((a a)(^x.a))) REDUCED to normal form. ------ 125226/12562806. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 125227/12562860. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 125228/12562878. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 125229/12562887. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 125230/12562914. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(a b))) 5. ==[ beta ]==> (((a a)(^x.a))((a b)(a b))) REDUCED to normal form. ------ 125231/12562941. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 125232/12563274. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a (b a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (b a))) REDUCED to normal form. ------ 125233/12563553. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((a a)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125234/12563580. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 125235/12563589. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 125236/12563607. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 125237/12563661. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(^x1.x1)))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(^z.z)))) 11. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 12. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 125238/12563670. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 125239/12563697. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))((a a) a))) 5. ==[ beta ]==> ((^y.b)((^z.(z z))((a a) a))) 6. ==[ alpha ]==> ((^x.b)((^y.(y y))((a a) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 125240/12563742. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 125241/12563751. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 125242/12563778. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 125243/12563805. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 125244/12563850. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125245/12563859. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 125246/12564003. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)(b ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a b)(b ((^x.x)(a a)))) 7. ==[ beta ]==> ((a b)(b (a a))) REDUCED to normal form. ------ 125247/12564030. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 125248/12564057. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((a b)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 125249/12564084. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a b)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a b)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a b)(a (^x.x)))) REDUCED to normal form. ------ 125250/12564111. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a) a) a)) REDUCED to normal form. ------ 125251/12564165. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (a a))(^z.z))) REDUCED to normal form. ------ 125252/12564192. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)((a a) a))) 5. ==[ beta ]==> ((a b)(a ((a a) a))) REDUCED to normal form. ------ 125253/12564363. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 125254/12564471. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125255/12564480. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 125256/12564507. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((b a)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((b a)((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 125257/12564525. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a b) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a b) b)) 3. ==[ beta ]==> (((^y.y) b)((a b) b)) 4. ==[ alpha ]==> (((^x.x) b)((a b) b)) 5. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 125258/12564534. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 125259/12564642. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 125260/12564669. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 125261/12564696. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.(a a))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 125262/12564867. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 125263/12564894. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(a b))) REDUCED to normal form. ------ 125264/12565362. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125265/12565506. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)(a a))) 3. ==[ beta ]==> ((b b)((^y.a)(a a))) 4. ==[ alpha ]==> ((b b)((^x.a)(a a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 125266/12565533. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 125267/12565551. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (a a))(^y.a))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.a))) REDUCED to normal form. ------ 125268/12565578. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 125269/12565587. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 125270/12565614. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 125271/12565632. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a)(^y.a))) 3. ==[ beta ]==> (((b a)(b a))((a a)(^y.a))) 4. ==[ alpha ]==> (((b a)(b a))((a a)(^x.a))) REDUCED to normal form. ------ 125272/12565695. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 125273/12565713. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b)(a b))((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 125274/12565722. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.b))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 125275/12565776. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 125276/12565920. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 125277/12565947. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) b)((a a)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.y))) REDUCED to normal form. ------ 125278/12566217. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b (a (a a)))) 3. ==[ beta ]==> ((b (a (^y.y)))(b (a (a a)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(b (a (a a)))) REDUCED to normal form. ------ 125279/12566244. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(a (^y.y))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(a (^x.x))) REDUCED to normal form. ------ 125280/12566271. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 125281/12566442. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 125282/12566586. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((b c)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((b c)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((b c)(^y.(y y))) 6. ==[ alpha ]==> ((b c)(^x.(x x))) REDUCED to normal form. ------ 125283/12566658. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 125284/12566721. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 125285/12566739. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) REDUCED to normal form. ------ 125286/12566748. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 125287/12566820. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (^z.z)) b)) 3. ==[ beta ]==> (b ((a (^z.z)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 125288/12566829. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 125289/12566856. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.a)) REDUCED to normal form. ------ 125290/12566937. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^x1.a))) REDUCED to normal form. ------ 125291/12566964. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 125292/12566991. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 125293/12567054. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 125294/12567081. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a a)(a a))) REDUCED to normal form. ------ 125295/12567108. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(b a)) 3. ==[ beta ]==> ((a ((^y.y) b))(b a)) 4. ==[ alpha ]==> ((a ((^x.x) b))(b a)) 5. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 125296/12567135. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(a b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a b)) REDUCED to normal form. ------ 125297/12567162. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(a (a a))) 3. ==[ beta ]==> (((^y.y)(b a))(a (a a))) 4. ==[ alpha ]==> (((^x.x)(b a))(a (a a))) 5. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 125298/12567189. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(a a)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 125299/12571116. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ eta ]==> (b (^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 125300/12575871. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a))) b) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x))) b) REDUCED to normal form. ------ 125301/12575895. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125302/12575976. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 125303/12576429. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 125304/12577263. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.(^z.(^x1.x1)))((^y1.y1) a))((^y.(^z.(^x1.x1)))((^y1.y1) a)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.(^x2.x2)))((^y2.y2) a)))((^z2.(^x3.(^y3.y3)))((^z3.z3) a))) 5. ==[ beta ]==> (((^y.(^z.z))((^y1.(^z1.(^x2.x2)))((^y2.y2) a)))((^z2.(^x3.(^y3.y3)))((^z3.z3) a))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a)))((^x2.(^y2.(^z2.z2)))((^x3.x3) a))) 7. ==[ beta ]==> ((^y.y)((^x2.(^y2.(^z2.z2)))((^x3.x3) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 10. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 125305/12577527. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 125306/12577776. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 125307/12578163. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (^y.((((^z.z) a)(b a))(((^z.z) a)(b a)))) 4. ==[ alpha ]==> (^x.((((^y.y) a)(b a))(((^z.z) a)(b a)))) 5. ==[ beta ]==> (^x.((a (b a))(((^z.z) a)(b a)))) 6. ==[ alpha ]==> (^x.((a (b a))(((^y.y) a)(b a)))) 7. ==[ beta ]==> (^x.((a (b a))(a (b a)))) REDUCED to normal form. ------ 125308/12578370. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(a a))((^x1.x1)(^y1.y1)))((^z.(a a))((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(a a))((^z.z)(^x1.x1)))((^y1.(a a))((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (((^y.(a a))((^z.z)(^x1.x1)))((^y1.(a a))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.(a a))((^y.y)(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((a a)((^x1.(a a))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 125309/12578553. ------ 1. ==[ start ]==> (((a b) b)(^c.(^b.b))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 125310/12578886. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(^z.z))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 125311/12579801. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ eta ]==> (b ((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 125312/12579804. ------ 1. ==[ start ]==> ((a (b a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 125313/12580083. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.(b a))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(b a))) 3. ==[ beta ]==> ((b a)(^y.(b a))) 4. ==[ alpha ]==> ((b a)(^x.(b a))) REDUCED to normal form. ------ 125314/12580371. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(x a))) REDUCED to normal form. ------ 125315/12580650. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(b y1))) 3. ==[ eta ]==> (((^x.x)(^y.(^z.(^x1.x1)))) b) 4. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 5. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 6. ==[ beta ]==> (^y.(^z.z)) 7. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 125316/12581397. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 125317/12581847. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(a a)))) REDUCED to normal form. ------ 125318/12582288. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 125319/12582555. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a)))(((^y.(^z.z))(^x1.a))((^y.(^z.z))(^x1.a)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a)))(((^x2.(^y2.y2))(^z2.a))((^x3.(^y3.y3))(^z3.a)))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.a)))(((^x2.(^y2.y2))(^z2.a))((^x3.(^y3.y3))(^z3.a)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.a)))(((^y1.(^z1.z1))(^x2.a))((^y2.(^z2.z2))(^x3.a)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.a))(((^y1.(^z1.z1))(^x2.a))((^y2.(^z2.z2))(^x3.a)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.(^y1.y1))(^z1.a))((^x2.(^y2.y2))(^z2.a)))) 9. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.a))((^x2.(^y2.y2))(^z2.a)))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.a)))) 11. ==[ beta ]==> (((^y.(^z.z))(^x1.a))((^y1.(^z1.z1))(^x2.a))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 13. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 15. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 16. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125320/12582837. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125321/12583188. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.((y1 y1) y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((y1 y1) y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z) z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125322/12583476. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))(^x.(^z.z))) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 125323/12583611. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 125324/12583953. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.d)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.d)) 3. ==[ beta ]==> ((b c)(^y.d)) 4. ==[ alpha ]==> ((b c)(^x.d)) REDUCED to normal form. ------ 125325/12584223. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 125326/12584304. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.c)) REDUCED to normal form. ------ 125327/12584421. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 125328/12584475. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 125329/12584502. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(a a))) REDUCED to normal form. ------ 125330/12584529. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.z))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 125331/12584556. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 125332/12584586. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 125333/12584613. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 125334/12584640. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)((a (a a))(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 125335/12584667. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 125336/12584721. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(b (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125337/12584757. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((b (^y.y))(^z.z))) REDUCED to normal form. ------ 125338/12584784. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 125339/12584811. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(b (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.a))) REDUCED to normal form. ------ 125340/12584847. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 125341/12584865. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 125342/12584946. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)(^y.(a a)))) REDUCED to normal form. ------ 125343/12585027. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 125344/12585054. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 125345/12585090. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a)(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 125346/12585117. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.z))) REDUCED to normal form. ------ 125347/12585162. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(a a)) b)) 3. ==[ beta ]==> ((a a)(((a a)(a a)) b)) REDUCED to normal form. ------ 125348/12585414. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 125349/12585441. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 125350/12585531. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125351/12585558. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 125352/12585612. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((b a)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((b a)(a (a a)))) 7. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 125353/12585666. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 7. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 8. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 125354/12585693. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a b)(a b))) 3. ==[ beta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 125355/12585747. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((a a)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 125356/12585846. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.(a a)))) REDUCED to normal form. ------ 125357/12585927. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 125358/12585954. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 125359/12586080. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> (b (((a a) a)(^y.(a a)))) 6. ==[ alpha ]==> (b (((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 125360/12586161. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 125361/12586188. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 125362/12586215. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 125363/12586242. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a)) a)) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125364/12586269. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) b) b)) 3. ==[ beta ]==> ((((a a) a)(^x.x))(b b)) REDUCED to normal form. ------ 125365/12586305. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 125366/12586386. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 125367/12586413. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.b))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 125368/12586467. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 125369/12586557. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b ((^z.z) b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b ((^z.z) b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b ((^z.z) b))) IRREDUCIBLE: cycle. ------ 125370/12586620. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.b) b)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x) b)) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 125371/12586638. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 125372/12586647. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.(^z.z))) c)) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 125373/12586665. ------ 1. ==[ start ]==> (((^a.a)(a b))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((b a)((^y.y) a))) 3. ==[ beta ]==> ((a b)((b a)((^y.y) a))) 4. ==[ alpha ]==> ((a b)((b a)((^x.x) a))) 5. ==[ beta ]==> ((a b)((b a) a)) REDUCED to normal form. ------ 125374/12586692. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 125375/12586746. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a b)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b)((a a) a))) REDUCED to normal form. ------ 125376/12586827. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> (b ((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> (b ((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 125377/12586854. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (b a))) REDUCED to normal form. ------ 125378/12586872. ------ 1. ==[ start ]==> (((a a)(a b))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))(c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 125379/12586899. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (^y.y))) REDUCED to normal form. ------ 125380/12586953. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 125381/12586980. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 7. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 8. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a (^x1.x1)))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 125382/12587025. ------ 1. ==[ start ]==> (((^a.b) b)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 125383/12587034. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 125384/12587061. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 125385/12587241. ------ 1. ==[ start ]==> (((a b) b)((a a)(^b.b))) 2. ==[ alpha ]==> (((a b) b)((a a)(^x.x))) REDUCED to normal form. ------ 125386/12587268. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) b) a)) 3. ==[ beta ]==> (((a a) a)(((^y.y) b) a)) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b) a)) 5. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 125387/12587295. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 125388/12587322. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((b a) c)) REDUCED to normal form. ------ 125389/12587547. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 125390/12587574. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 125391/12587673. ------ 1. ==[ start ]==> (((^a.b) c)((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z)) d)) 3. ==[ beta ]==> (b ((^y.(^z.z)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125392/12587772. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 125393/12587916. ------ 1. ==[ start ]==> (((a b) c)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b) c)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 125394/12587943. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 125395/12587970. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 125396/12588024. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 125397/12588051. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((a (^y.b))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.a))) REDUCED to normal form. ------ 125398/12588105. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125399/12588186. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 125400/12588213. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 125401/12588303. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (a b))((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a b))((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 125402/12588330. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 125403/12588384. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 125404/12588411. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (((a b) a)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (((a b) a)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 125405/12588438. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 125406/12588492. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 125407/12588582. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> (b (((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y) a))) 7. ==[ beta ]==> (b ((a a)((^y.y) a))) 8. ==[ alpha ]==> (b ((a a)((^x.x) a))) 9. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 125408/12588663. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (b ((^y.y)((a a) a))) 6. ==[ alpha ]==> (b ((^x.x)((a a) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 125409/12588771. ------ 1. ==[ start ]==> (((^a.a)(b a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a a)(b a))) 3. ==[ beta ]==> ((b a)((a a)(b a))) REDUCED to normal form. ------ 125410/12588834. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 125411/12588861. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 125412/12588915. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 125413/12588942. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(^z.a)) 6. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 125414/12588969. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (a a))(^z.b))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.b))) REDUCED to normal form. ------ 125415/12588996. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.(a a)))) REDUCED to normal form. ------ 125416/12589059. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(b a))) 3. ==[ beta ]==> (((a a)(b a))(b a)) REDUCED to normal form. ------ 125417/12589140. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 125418/12589167. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)((^y.b)(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(y y)))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 125419/12589221. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 125420/12589248. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.b))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.b))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.b))) 7. ==[ beta ]==> (((a a) a)((^y.b)(^y.b))) 8. ==[ alpha ]==> (((a a) a)((^x.b)(^y.b))) 9. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 125421/12589275. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 125422/12589338. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (b a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (b a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (b a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 125423/12589419. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a b)((^z.z) a))) 5. ==[ beta ]==> ((a a)((a b)((^z.z) a))) 6. ==[ alpha ]==> ((a a)((a b)((^x.x) a))) 7. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 125424/12589500. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))((a a) a))) 3. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 125425/12589617. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 125426/12589644. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 125427/12589725. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 125428/12589752. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(^z.a))) 5. ==[ beta ]==> ((^y.b)((a (a a))(^z.a))) 6. ==[ alpha ]==> ((^x.b)((a (a a))(^y.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 125429/12589806. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 125430/12589860. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 125431/12589914. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a b) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a b) c)) REDUCED to normal form. ------ 125432/12589977. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 125433/12590031. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(^y.b))) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 125434/12590058. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 125435/12590256. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((a a) a)) 6. ==[ alpha ]==> (((^x.x) a)((a a) a)) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 125436/12590283. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 5. ==[ beta ]==> ((a (^y.y))(a b)) 6. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 125437/12590535. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(^z.(a a)))) REDUCED to normal form. ------ 125438/12590562. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((b a)(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((b a)(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((b a)((a a) a)) REDUCED to normal form. ------ 125439/12590589. ------ 1. ==[ start ]==> (((a a)(^b.b))((a b) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((a b) b)) REDUCED to normal form. ------ 125440/12590742. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b (a b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b (a b))) 3. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 125441/12590778. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a)) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 125442/12590805. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.b) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 125443/12590850. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125444/12590922. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c (^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c (^y.a))) 3. ==[ beta ]==> (((a a) b)(c (^y.a))) 4. ==[ alpha ]==> (((a a) b)(c (^x.a))) REDUCED to normal form. ------ 125445/12590949. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b (^x1.b))) REDUCED to normal form. ------ 125446/12590976. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(a (^y.(a a)))) 3. ==[ beta ]==> ((a (b a))(a (^y.(a a)))) 4. ==[ alpha ]==> ((a (b a))(a (^x.(a a)))) REDUCED to normal form. ------ 125447/12591003. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.b)(a a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) b) REDUCED to normal form. ------ 125448/12591057. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 125449/12591084. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a b)((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 125450/12591111. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 125451/12591138. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 125452/12591192. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) b) REDUCED to normal form. ------ 125453/12591219. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 125454/12591246. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 125455/12591417. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 125456/12591525. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125457/12591561. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((a a) a)(^y.y))) 3. ==[ beta ]==> ((b b)(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((b b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 125458/12591588. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a)) a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a)(a a)) a)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 125459/12591642. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(z z)))) REDUCED to normal form. ------ 125460/12591669. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 125461/12591750. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y) b)) 5. ==[ beta ]==> ((((a a) a)(^x.(a a))) b) REDUCED to normal form. ------ 125462/12591777. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.b))((a (a a)) c)) REDUCED to normal form. ------ 125463/12591876. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(a ((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125464/12591885. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^c.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 125465/12591912. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 125466/12592002. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.(^z.z)))) REDUCED to normal form. ------ 125467/12592056. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 125468/12592083. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))((a (^z.z))(a (^z.z)))) 8. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 125469/12592110. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 125470/12592137. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 125471/12592164. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 8. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 125472/12592191. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 125473/12592245. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 125474/12592272. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 125475/12592299. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 125476/12592416. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a a)(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a a)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125477/12592497. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(c c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 125478/12592641. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a) d)) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a) d)) 3. ==[ beta ]==> ((b c)((a a) d)) REDUCED to normal form. ------ 125479/12592668. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(x x)) a)) 3. ==[ beta ]==> ((((a a)(a a)) b)(a a)) REDUCED to normal form. ------ 125480/12592713. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 125481/12592740. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 125482/12592776. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 125483/12592803. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 125484/12592875. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(c (a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 125485/12592884. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (^y.y)) b)) REDUCED to normal form. ------ 125486/12592911. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a a) c)) 3. ==[ beta ]==> (((a a)(^y.b))((a a) c)) 4. ==[ alpha ]==> (((a a)(^x.b))((a a) c)) REDUCED to normal form. ------ 125487/12592983. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125488/12593019. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b (^y.a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 125489/12593046. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 125490/12593109. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 125491/12593136. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(b (^y.y))) REDUCED to normal form. ------ 125492/12593163. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 125493/12593190. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z)(a a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 125494/12593217. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 125495/12593244. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 125496/12602115. ------ 1. ==[ start ]==> (((a a) b)(^c.(b (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(b (^y.y)))) REDUCED to normal form. ------ 125497/12602211. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (^y.((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (^x.((^y.y)((^z.z) a))) 5. ==[ beta ]==> (^x.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 125498/12602454. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 125499/12602553. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((((a a)(a a)) b)((((a a)(a a)) b)(((a a)(a a)) b))) REDUCED to normal form. ------ 125500/12603336. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((((a (^y.(^z.z)))(^x1.a))((a (^y.(^z.z)))(^x1.a)))((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> ((((a (^x.(^y.y)))(^z.a))((a (^x1.(^y1.y1)))(^z1.a)))((a (^x2.(^y2.y2)))(^z2.a))) REDUCED to normal form. ------ 125501/12603669. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 125502/12604443. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(a a))(^x1.(^y1.y1)))(((^z.z)(a a))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(a a))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((((^y.y)(a a))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 9. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 10. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 125503/12605292. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 125504/12606183. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 125505/12606423. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 125506/12606444. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(^d.a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.a))) REDUCED to normal form. ------ 125507/12607314. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125508/12608136. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a b))) REDUCED to normal form. ------ 125509/12608163. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 125510/12609261. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125511/12609270. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.((x1 x1) x1))) REDUCED to normal form. ------ 125512/12609708. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125513/12610026. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.((^z.z) a))) 3. ==[ beta ]==> ((b c)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((b c)(^x.((^y.y) a))) 5. ==[ beta ]==> ((b c)(^x.a)) REDUCED to normal form. ------ 125514/12610053. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(x (x x)))) REDUCED to normal form. ------ 125515/12610494. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^c.b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.b)) REDUCED to normal form. ------ 125516/12610548. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.z)) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.z)) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.y)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 125517/12610602. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^c.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.a)) 3. ==[ beta ]==> (((^y.y)(b a))(^z.a)) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.a)) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 125518/12610629. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 125519/12610677. ------ 1. ==[ start ]==> (((^a.a) a)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> (a (((a a) a)((a a)(^y.y)))) 4. ==[ alpha ]==> (a (((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 125520/12610704. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(b a))) 3. ==[ beta ]==> (((a a) a)((^y.y)(b a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(b a))) 5. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 125521/12610731. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 125522/12610758. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (b (((^y.y) a)((^z.z) b))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y) b))) 5. ==[ beta ]==> (b (a ((^y.y) b))) 6. ==[ alpha ]==> (b (a ((^x.x) b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 125523/12610785. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 125524/12610812. ------ 1. ==[ start ]==> (((a a) b)((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a a)(b (^x.x)))) REDUCED to normal form. ------ 125525/12610911. ------ 1. ==[ start ]==> ((a (^b.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 125526/12610929. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 125527/12610956. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 125528/12610992. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 125529/12611019. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 125530/12611100. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125531/12611154. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 125532/12611226. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((b (^y.y)) a)) 3. ==[ beta ]==> ((a (a a))((b (^y.y)) a)) 4. ==[ alpha ]==> ((a (a a))((b (^x.x)) a)) REDUCED to normal form. ------ 125533/12611253. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a)(a a)) b)) REDUCED to normal form. ------ 125534/12611289. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 125535/12611397. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 125536/12611568. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b ((a a)(a a)))) 3. ==[ beta ]==> ((b b)(b ((a a)(a a)))) REDUCED to normal form. ------ 125537/12611703. ------ 1. ==[ start ]==> (((a (a a)) b)((b a)(a (a a)))) REDUCED to normal form. ------ 125538/12611730. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a (((a a)(^y.y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (((a a)(^x.x))(^z.z))) 8. ==[ alpha ]==> (a (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 125539/12611757. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 125540/12611784. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)(a b))) REDUCED to normal form. ------ 125541/12611811. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.a))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.a))(((a a) a)(a a))) REDUCED to normal form. ------ 125542/12611838. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 125543/12611865. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (a a))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(b a))) 5. ==[ beta ]==> ((^y.y)((a (a a))(b a))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(b a))) 7. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 125544/12611982. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 125545/12612009. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^y.y) b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 125546/12612036. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 125547/12612126. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))((a a) a))) 5. ==[ beta ]==> (a ((^z.(a a))((a a) a))) 6. ==[ alpha ]==> (a ((^x.(a a))((a a) a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 125548/12612207. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 125549/12612234. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(b a))) 5. ==[ beta ]==> ((^y.(y y))(b a)) 6. ==[ alpha ]==> ((^x.(x x))(b a)) 7. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 125550/12612288. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((^y1.y1) b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((^x1.x1) b))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1) b))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) b))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 125551/12612369. ------ 1. ==[ start ]==> ((a (^a.b))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 125552/12612558. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 125553/12612639. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) IRREDUCIBLE: cycle. ------ 125554/12612702. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) b)(a a))) 3. ==[ beta ]==> ((((a a) a) b)(b (a a))) REDUCED to normal form. ------ 125555/12612729. ------ 1. ==[ start ]==> (((a b) a)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 125556/12612756. ------ 1. ==[ start ]==> (((a a)(^a.b))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.b))((b a) a)) REDUCED to normal form. ------ 125557/12612810. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 125558/12612837. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b)((a a) a))) REDUCED to normal form. ------ 125559/12612864. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(a b))) 5. ==[ beta ]==> ((^y.a)(((a a) a)(a b))) 6. ==[ alpha ]==> ((^x.a)(((a a) a)(a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 125560/12612891. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 125561/12612918. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 125562/12613035. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) b)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (^y.y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.x))) REDUCED to normal form. ------ 125563/12613062. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (a ((a (^y.(^z.z)))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 125564/12613089. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((b a)(^y.a))) REDUCED to normal form. ------ 125565/12613116. ------ 1. ==[ start ]==> (((a b)(a a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 125566/12613143. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 125567/12613152. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 125568/12613179. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a) a))) 5. ==[ beta ]==> ((^y.b)((a a) a)) 6. ==[ alpha ]==> ((^x.b)((a a) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 125569/12613233. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125570/12613314. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125571/12613368. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 125572/12613395. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 125573/12613530. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (b ((^z.a)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 125574/12613683. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z) a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) a)) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 125575/12613710. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1))) b)) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z))) b)) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 125576/12613755. ------ 1. ==[ start ]==> (((^a.b) c)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (b (((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 125577/12613764. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 125578/12613989. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 125579/12614097. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (a a))) 6. ==[ alpha ]==> ((^x.(a a))(a (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 125580/12614232. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 125581/12614331. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((b a) b)) REDUCED to normal form. ------ 125582/12614808. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(a (a a))) REDUCED to normal form. ------ 125583/12614880. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 125584/12614934. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 125585/12615015. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 125586/12615123. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 125587/12615168. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((b a) a)) REDUCED to normal form. ------ 125588/12615195. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a)(^y.y)) b)) 5. ==[ beta ]==> ((a (a a))(((a a)(^y.y)) b)) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 125589/12615222. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(a a)) c)) 3. ==[ beta ]==> (((a (a a))(a b))((a a) c)) REDUCED to normal form. ------ 125590/12615402. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125591/12615744. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 125592/12615879. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> (b ((^x1.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 125593/12615987. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125594/12616014. ------ 1. ==[ start ]==> ((a (^b.b))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 125595/12616194. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 125596/12616221. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(a a)) b)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(a a)) b)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a)) b)) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 125597/12616248. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.b) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.b) c)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b) c)) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 125598/12616293. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125599/12616500. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 125600/12616608. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125601/12616662. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.z))) 5. ==[ beta ]==> (b ((^y.(a a))(^z.z))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 125602/12616689. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 125603/12616743. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 125604/12616806. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c ((a a) a))) REDUCED to normal form. ------ 125605/12616824. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125606/12616833. ------ 1. ==[ start ]==> (((a b)(^c.a))(b (a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (a b))) REDUCED to normal form. ------ 125607/12616860. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 125608/12616887. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a b)(a a))) REDUCED to normal form. ------ 125609/12616941. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1)((^x2.x2) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)((^z1.z1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1) a)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1) a)) 7. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 125610/12616968. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 125611/12617085. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 125612/12617112. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(((a a) a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 125613/12617139. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(^y.a))) 5. ==[ beta ]==> ((((a a) a)(a b))(^y.a)) 6. ==[ alpha ]==> ((((a a) a)(a b))(^x.a)) REDUCED to normal form. ------ 125614/12617166. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 125615/12617193. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 125616/12617274. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a b) a)) REDUCED to normal form. ------ 125617/12617301. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((a a) a) b)) 3. ==[ beta ]==> ((b (a a))(((a a) a) b)) REDUCED to normal form. ------ 125618/12617364. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 7. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 125619/12617607. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(b (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125620/12617688. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 125621/12617715. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 7. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 8. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 125622/12617769. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 125623/12617850. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125624/12617913. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c (a (a a)))) REDUCED to normal form. ------ 125625/12617967. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a ((a a) a))) REDUCED to normal form. ------ 125626/12617994. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> ((b (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 125627/12618021. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 125628/12618138. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(b a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 125629/12618165. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 125630/12618192. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((((a a) a)(a a))(a (^y.a))) 6. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.a))) REDUCED to normal form. ------ 125631/12618219. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 125632/12618246. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 125633/12618273. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1) a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 125634/12618408. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 125635/12618498. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b (^x2.(x2 x2)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x2.(x2 x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125636/12618579. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 125637/12618687. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125638/12618723. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(b ((^y.y) a))) 3. ==[ beta ]==> ((b c)(b ((^y.y) a))) 4. ==[ alpha ]==> ((b c)(b ((^x.x) a))) 5. ==[ beta ]==> ((b c)(b a)) REDUCED to normal form. ------ 125639/12618750. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a (a (a a)))) REDUCED to normal form. ------ 125640/12618795. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 125641/12618822. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(b (^z.a))) 3. ==[ beta ]==> ((^y.y)(b (^z.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 125642/12618876. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.a)(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.a)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.a)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 125643/12618957. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 125644/12618966. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(c (a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(c (a a))) REDUCED to normal form. ------ 125645/12618993. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(b (a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.b))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.b))(b (a (^y.y)))) REDUCED to normal form. ------ 125646/12619065. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125647/12619074. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a)(a (^x1.x1)))) REDUCED to normal form. ------ 125648/12619101. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(c a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(c a)) 3. ==[ beta ]==> ((b (^y.a))(c a)) 4. ==[ alpha ]==> ((b (^x.a))(c a)) REDUCED to normal form. ------ 125649/12619128. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 125650/12619191. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a a) b)) REDUCED to normal form. ------ 125651/12619218. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 125652/12619245. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.z) b)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.z) b)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.y) b)) 5. ==[ beta ]==> ((a b)((^y.y) b)) 6. ==[ alpha ]==> ((a b)((^x.x) b)) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 125653/12619272. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a a)(^z.z))) REDUCED to normal form. ------ 125654/12619299. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a a) a)) 3. ==[ beta ]==> (((^y.y)(b a))((a a) a)) 4. ==[ alpha ]==> (((^x.x)(b a))((a a) a)) 5. ==[ beta ]==> ((b a)((a a) a)) REDUCED to normal form. ------ 125655/12619326. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x))) a) REDUCED to normal form. ------ 125656/12619352. ------ 1. ==[ start ]==> (^a.((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.((x b)((^y.y)(x x)))) 3. ==[ beta ]==> (^x.((x b)(x x))) REDUCED to normal form. ------ 125657/12619353. ------ 1. ==[ start ]==> (a ((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (a ((a b)((^x.x)(a a)))) 3. ==[ beta ]==> (a ((a b)(a a))) REDUCED to normal form. ------ 125658/12620301. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125659/12627105. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125660/12628053. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a))) a) 2. ==[ alpha ]==> (((a b)((^x.x)(a a))) a) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 125661/12628059. ------ 1. ==[ start ]==> ((^a.a)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)((^y.y)(a a))) 4. ==[ alpha ]==> ((a b)((^x.x)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 125662/12628086. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^y.y)))(((a a) a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 125663/12628113. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 125664/12628194. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a (^z.z))((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 125665/12628311. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> (^x.(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (^x.(b (^z.a))) 6. ==[ alpha ]==> (^x.(b (^y.a))) REDUCED to normal form. ------ 125666/12628554. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 125667/12629004. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(a (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125668/12629007. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(b (^z.z)))) REDUCED to normal form. ------ 125669/12629727. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125670/12629769. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) b) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 125671/12630753. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x)(a a)) a)(^z.z)) 4. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.y)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 125672/12631086. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((^z.z) b))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^y.b)) REDUCED to normal form. ------ 125673/12631218. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a b)((^z.z)(^x1.x1)))((a b)((^z.z)(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((a b)((^x.x)(^y.y)))((a b)((^z.z)(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((((a b)(^y.y))((a b)((^z.z)(^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> ((((a b)(^x.x))((a b)((^y.y)(^z.z))))(^x1.x1)) 7. ==[ beta ]==> ((((a b)(^x.x))((a b)(^z.z)))(^x1.x1)) 8. ==[ alpha ]==> ((((a b)(^x.x))((a b)(^y.y)))(^z.z)) REDUCED to normal form. ------ 125674/12631401. ------ 1. ==[ start ]==> (((a b) c)(^a.(^b.b))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 125675/12631698. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 125676/12631974. ------ 1. ==[ start ]==> ((^a.(b a))(b (b a))) 2. ==[ alpha ]==> ((^x.(b x))(b (b a))) 3. ==[ eta ]==> (b (b (b a))) REDUCED to normal form. ------ 125677/12632811. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((b ((a a)(^x1.x1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((b ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 125678/12633345. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 125679/12633414. ------ 1. ==[ start ]==> ((^a.(^b.b))((a b) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((a b) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125680/12633597. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 125681/12633729. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 125682/12634047. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((b a)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((b a)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((b a)(^x.(a a))) REDUCED to normal form. ------ 125683/12634263. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 125684/12634461. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(a b))) 3. ==[ beta ]==> ((a (b a))(^y.(a b))) 4. ==[ alpha ]==> ((a (b a))(^x.(a b))) REDUCED to normal form. ------ 125685/12635046. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.b))) 3. ==[ beta ]==> ((b b)(^y.(^z.b))) 4. ==[ alpha ]==> ((b b)(^x.(^y.b))) REDUCED to normal form. ------ 125686/12635370. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.a))) REDUCED to normal form. ------ 125687/12635808. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125688/12635811. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 125689/12636153. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 125690/12636261. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 125691/12636504. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.z))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 125692/12636621. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 125693/12636648. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(a a))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(a a))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 125694/12636702. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.b)) 3. ==[ beta ]==> (((^y.y)(b a))(^z.b)) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.b)) 5. ==[ beta ]==> ((b a)(^y.b)) 6. ==[ alpha ]==> ((b a)(^x.b)) REDUCED to normal form. ------ 125695/12636729. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(y y))) REDUCED to normal form. ------ 125696/12636756. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^a.a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.y)) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 125697/12636768. ------ 1. ==[ start ]==> ((a a)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)((a b)((^x.x)(a a)))) 3. ==[ beta ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 125698/12636795. ------ 1. ==[ start ]==> ((a (a a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 125699/12636822. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(b a))) 3. ==[ beta ]==> ((a b)((^y.y)(b a))) 4. ==[ alpha ]==> ((a b)((^x.x)(b a))) 5. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 125700/12636876. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y) b))) 3. ==[ beta ]==> (((a a)(a a))(a ((^y.y) b))) 4. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) b))) 5. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 125701/12636903. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 125702/12636966. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 125703/12636993. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 125704/12637020. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> ((a (^x.a))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.a))) REDUCED to normal form. ------ 125705/12637056. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 125706/12637101. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 125707/12637128. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 125708/12637137. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 125709/12637164. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 125710/12637191. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 125711/12637218. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 125712/12637245. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.x))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 125713/12637263. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 125714/12637371. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.(y y))(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(a a)) b)) 5. ==[ beta ]==> ((((a a)(a a)) b)(((a a)(a a)) b)) REDUCED to normal form. ------ 125715/12637398. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) b) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 5. ==[ beta ]==> (((^y.y) b) c) 6. ==[ alpha ]==> (((^x.x) b) c) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 125716/12637434. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 125717/12637515. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 125718/12637542. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 125719/12637677. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 125720/12637686. ------ 1. ==[ start ]==> (((a (a a))(a a))(b ((a a)(a a)))) REDUCED to normal form. ------ 125721/12637713. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a (b (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(a (b (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(a (b (^y.y)))) REDUCED to normal form. ------ 125722/12638010. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 125723/12638037. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a (^y.y)) b)) REDUCED to normal form. ------ 125724/12638064. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 125725/12638181. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(y y)))) 5. ==[ beta ]==> ((b a)(^y.(y y))) 6. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 125726/12638235. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (a (((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> (a ((a a)(^y.a))) 8. ==[ alpha ]==> (a ((a a)(^x.a))) REDUCED to normal form. ------ 125727/12638271. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b)(a b))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(a b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(a b))) 5. ==[ beta ]==> (b ((^y.b)(a b))) 6. ==[ alpha ]==> (b ((^x.b)(a b))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 125728/12638352. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((b a)(b a))) REDUCED to normal form. ------ 125729/12638379. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 125730/12638397. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.z))) 7. ==[ beta ]==> ((a a)((a (^y.y))(^z.z))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 125731/12638406. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 125732/12638433. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((a a)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125733/12638478. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) b) b)) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) b) b)) 3. ==[ beta ]==> ((a (^x.b))(b b)) REDUCED to normal form. ------ 125734/12638649. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 125735/12638829. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z) b)) 3. ==[ beta ]==> (b ((^z.z) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 125736/12638856. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1))) c)) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z))) c)) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 125737/12639063. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(b a))) 3. ==[ beta ]==> (((a a)(a b))(a (b a))) REDUCED to normal form. ------ 125738/12639090. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 125739/12639117. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)((^z.z) b))) 5. ==[ beta ]==> ((a (^y.y))((a a)((^z.z) b))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) b))) 7. ==[ beta ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 125740/12639261. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 125741/12639288. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 125742/12639342. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(a a)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 9. ==[ beta ]==> ((^y.y)(^z.(a a))) 10. ==[ alpha ]==> ((^x.x)(^y.(a a))) 11. ==[ beta ]==> (^y.(a a)) 12. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 125743/12639423. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 125744/12639432. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 125745/12639459. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a a) a)((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y) b))) 5. ==[ beta ]==> (((a a) a)((^y.y) b)) 6. ==[ alpha ]==> (((a a) a)((^x.x) b)) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 125746/12639477. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) b) a)) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) b) a)) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b) a)) 5. ==[ beta ]==> ((a a)(((^y.y) b) a)) 6. ==[ alpha ]==> ((a a)(((^x.x) b) a)) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 125747/12639486. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 125748/12639504. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 5. ==[ beta ]==> ((a (^y.(^z.z))) b) 6. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 125749/12639513. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 125750/12639567. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 125751/12639594. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.(a a))(^z.(^x1.x1)))((^y.(a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.(a a))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((a a)((^x1.(a a))(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 125752/12639621. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 125753/12639648. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 125754/12639675. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 125755/12639738. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (b a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (b a))) REDUCED to normal form. ------ 125756/12639765. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a ((a a) a))(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a ((a a) a))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 125757/12639792. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^y.y))(a ((^z.z) b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.y) b))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a b)) REDUCED to normal form. ------ 125758/12639819. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(a a))) 6. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 125759/12639846. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((b a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) a)((b a)(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a) a)((b a)(a (^x.x)))) REDUCED to normal form. ------ 125760/12639873. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 125761/12639900. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 125762/12639927. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a b)(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 125763/12640107. ------ 1. ==[ start ]==> (((a b) c)(a (^b.b))) 2. ==[ alpha ]==> (((a b) c)(a (^x.x))) REDUCED to normal form. ------ 125764/12640134. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 125765/12640179. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 125766/12640206. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 125767/12640215. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 125768/12640242. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 125769/12640296. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125770/12640323. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 125771/12640341. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 125772/12640350. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 125773/12640377. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 125774/12640404. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 125775/12640683. ------ 1. ==[ start ]==> ((a (b a))(b (b a))) REDUCED to normal form. ------ 125776/12640773. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125777/12641043. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 125778/12641052. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 125779/12641106. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 125780/12641124. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 125781/12641133. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 125782/12641160. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 125783/12641187. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b)(a b))) REDUCED to normal form. ------ 125784/12641520. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 125785/12641610. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(a a)) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(a a)) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(a a)) c)) 5. ==[ beta ]==> ((a a)((^z.(a a)) c)) 6. ==[ alpha ]==> ((a a)((^x.(a a)) c)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 125786/12641826. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 125787/12641853. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 125788/12641907. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a) a)(^z.(z z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)(^y.(y y)))) 7. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.(y y)))) 8. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 125789/12641916. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 125790/12641943. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 125791/12641988. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.b))) 5. ==[ beta ]==> (b (a (^y.b))) 6. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 125792/12641997. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 125793/12642024. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 125794/12642051. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(^z.z))) REDUCED to normal form. ------ 125795/12642096. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125796/12642105. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 125797/12642123. ------ 1. ==[ start ]==> ((a (^b.b))((a b) c)) 2. ==[ alpha ]==> ((a (^x.x))((a b) c)) REDUCED to normal form. ------ 125798/12642249. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c (a b))) 3. ==[ beta ]==> (((^y.y)(a b))(c (a b))) 4. ==[ alpha ]==> (((^x.x)(a b))(c (a b))) 5. ==[ beta ]==> ((a b)(c (a b))) REDUCED to normal form. ------ 125799/12642276. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(b ((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b (a a))) REDUCED to normal form. ------ 125800/12642303. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(^y.y))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 125801/12642330. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(a a))) 5. ==[ beta ]==> (((a a)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 125802/12642357. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(a (^y.y)))) REDUCED to normal form. ------ 125803/12642411. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a (a a))) REDUCED to normal form. ------ 125804/12642438. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a b)((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a b)((a (a a))(^y.y))) 6. ==[ alpha ]==> ((a b)((a (a a))(^x.x))) REDUCED to normal form. ------ 125805/12642609. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)(^z.a))) 3. ==[ beta ]==> (b (((a a) a)(^z.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 125806/12642717. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(^x2.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125807/12642726. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 125808/12642753. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((b a)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((b a)((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((b a)((^y.y)(a a))) 6. ==[ alpha ]==> ((b a)((^x.x)(a a))) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 125809/12642771. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a)) a)) 5. ==[ beta ]==> (b (((^y.y)(a a)) a)) 6. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 125810/12642780. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 125811/12642798. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 125812/12642807. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 125813/12642888. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 125814/12642915. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 125815/12642942. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 125816/12642969. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(a a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 125817/12643113. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) b)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) b)(a (^y.y))) 8. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 125818/12643140. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))((a a) a))) REDUCED to normal form. ------ 125819/12643167. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a a)(a b))) 3. ==[ beta ]==> ((a (b a))((a a)(a b))) REDUCED to normal form. ------ 125820/12643608. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^c.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a) b)) 3. ==[ beta ]==> (b ((^z.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 125821/12643752. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) b)(a (^y.b))) 3. ==[ beta ]==> ((b b)(a (^y.b))) 4. ==[ alpha ]==> ((b b)(a (^x.b))) REDUCED to normal form. ------ 125822/12643797. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 125823/12643824. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 125824/12643833. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 125825/12643860. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 125826/12643878. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 125827/12643941. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 125828/12643959. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 125829/12643968. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 125830/12644022. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 125831/12644076. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.a)) REDUCED to normal form. ------ 125832/12644166. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a ((^y.y) a))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(a ((^x.x) a))) 5. ==[ beta ]==> (((a a)((a a)(a a)))(a a)) REDUCED to normal form. ------ 125833/12644193. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 125834/12644220. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.z))) REDUCED to normal form. ------ 125835/12644328. ------ 1. ==[ start ]==> (((a b)(a b))(c d)) REDUCED to normal form. ------ 125836/12644463. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(c ((^z.z) a))) 3. ==[ beta ]==> ((b (a (^y.y)))(c ((^z.z) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(c ((^y.y) a))) 5. ==[ beta ]==> ((b (a (^x.x)))(c a)) REDUCED to normal form. ------ 125837/12644490. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(b (a (a a)))) REDUCED to normal form. ------ 125838/12644517. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((a (b (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 125839/12644688. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 125840/12644796. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125841/12644832. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b c)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b c)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 125842/12644859. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.(y y))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(x x))) REDUCED to normal form. ------ 125843/12644904. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((b (^y.y))((^z.a) b)) 4. ==[ alpha ]==> ((b (^x.x))((^y.a) b)) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 125844/12644967. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 125845/12644985. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1) a)(^z1.z1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^z1.z1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^y1.y1))) REDUCED to normal form. ------ 125846/12644994. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 125847/12645066. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z) a) a)) 3. ==[ beta ]==> (b (((^z.z) a) a)) 4. ==[ alpha ]==> (b (((^x.x) a) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 125848/12645075. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 125849/12645102. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 125850/12645174. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125851/12645183. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 125852/12645210. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(a (^z.a))) 3. ==[ beta ]==> ((b (^y.a))(a (^z.a))) 4. ==[ alpha ]==> ((b (^x.a))(a (^y.a))) REDUCED to normal form. ------ 125853/12645237. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 125854/12645300. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(b (a a))) REDUCED to normal form. ------ 125855/12645327. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 125856/12645354. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a a)(a a))) 3. ==[ beta ]==> ((a ((^y.y) b))((a a)(a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a a)(a a))) 5. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 125857/12645381. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(b a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(b a)) REDUCED to normal form. ------ 125858/12645408. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(a b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(a b)) 3. ==[ beta ]==> (((^y.y)(b a))(a b)) 4. ==[ alpha ]==> (((^x.x)(b a))(a b)) 5. ==[ beta ]==> ((b a)(a b)) REDUCED to normal form. ------ 125859/12645435. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 125860/12645462. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(a a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(a a)) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 125861/12653223. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125862/12654171. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a))) b) 2. ==[ alpha ]==> (((a b)((^x.x)(a a))) b) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 125863/12654195. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125864/12654276. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 125865/12654756. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 125866/12655143. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(b (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125867/12655563. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y)(a (^z.z)))((^y.y)(a (^z.z))))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x)(a (^y.y)))((^z.z)(a (^x1.x1))))((^y1.y1)(a (^z1.z1)))) 5. ==[ beta ]==> (((a (^y.y))((^z.z)(a (^x1.x1))))((^y1.y1)(a (^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))((^y.y)(a (^z.z))))((^x1.x1)(a (^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^z.z)))((^x1.x1)(a (^y1.y1)))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a (^x1.x1)))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.x1))) 10. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 125868/12656076. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.a)(^z.(a a))) b) 4. ==[ alpha ]==> (((^x.a)(^y.(a a))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 125869/12656463. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (^y.(((a (a a))((a a)(^z.z)))((a (a a))((a a)(^z.z))))) 4. ==[ alpha ]==> (^x.(((a (a a))((a a)(^y.y)))((a (a a))((a a)(^z.z))))) REDUCED to normal form. ------ 125870/12657213. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 125871/12657519. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 125872/12658698. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(z a))) REDUCED to normal form. ------ 125873/12659472. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 125874/12659724. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 125875/12660174. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.(a a)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 125876/12660615. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 125877/12660804. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 125878/12661668. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.x))) REDUCED to normal form. ------ 125879/12661803. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^z.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 125880/12661935. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125881/12661938. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 125882/12662280. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.d)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.d)) REDUCED to normal form. ------ 125883/12662631. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.c)) 3. ==[ beta ]==> ((b (^y.a))(^z.c)) 4. ==[ alpha ]==> ((b (^x.a))(^y.c)) REDUCED to normal form. ------ 125884/12662748. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 125885/12662802. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 125886/12662829. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(a a))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(a a))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(a a))) 5. ==[ beta ]==> ((b a)(^y.(a a))) 6. ==[ alpha ]==> ((b a)(^x.(a a))) REDUCED to normal form. ------ 125887/12662856. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 125888/12662883. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.z))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 125889/12662913. ------ 1. ==[ start ]==> ((a (^a.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.x))((a b)(a a))) REDUCED to normal form. ------ 125890/12662940. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 125891/12662967. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(b a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(b a))) 5. ==[ beta ]==> ((a a)((^y.y)(b a))) 6. ==[ alpha ]==> ((a a)((^x.x)(b a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 125892/12662994. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 125893/12663048. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125894/12663075. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 125895/12663111. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b (^z.z))(^x1.x1))) REDUCED to normal form. ------ 125896/12663138. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 125897/12663174. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 125898/12663192. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 125899/12663201. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 125900/12663273. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.b))) REDUCED to normal form. ------ 125901/12663300. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a b)(^y.(a a)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(a a)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(a a)))) REDUCED to normal form. ------ 125902/12663327. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 125903/12663381. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 125904/12663417. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((a a) a)((^y.a)((^z.z) b))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y) b))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 125905/12663444. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 125906/12663471. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(b (^y.y)))) 5. ==[ beta ]==> ((a (a a))(b (^y.y))) 6. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 125907/12663489. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)((b (^y.y)) a)) 3. ==[ beta ]==> ((a a)((b (^y.y)) a)) 4. ==[ alpha ]==> ((a a)((b (^x.x)) a)) REDUCED to normal form. ------ 125908/12663768. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 125909/12663795. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 125910/12663858. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (b (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125911/12663885. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 125912/12663939. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))((^x2.x2) a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))((^x2.x2) a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 7. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 9. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 125913/12663993. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 125914/12664020. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 125915/12664074. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 125916/12664200. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(a a)))) 5. ==[ beta ]==> ((a a)(b (^y.(a a)))) 6. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 125917/12664281. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a) a))(a (^y.y))) 4. ==[ alpha ]==> ((a ((a a) a))(a (^x.x))) REDUCED to normal form. ------ 125918/12664407. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b)(^z.b))) 3. ==[ beta ]==> (((^y.y) b)((a b)(^z.b))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(^y.b))) 5. ==[ beta ]==> (b ((a b)(^y.b))) 6. ==[ alpha ]==> (b ((a b)(^x.b))) REDUCED to normal form. ------ 125919/12664434. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 125920/12664515. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 125921/12664542. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 125922/12664596. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(a a)) a)) REDUCED to normal form. ------ 125923/12664632. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 125924/12664659. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 125925/12664740. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 125926/12664767. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)(^y.b))) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 125927/12664794. ------ 1. ==[ start ]==> ((a (a b))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 125928/12664947. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a)) a)) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 125929/12664965. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) b)(a a))) 3. ==[ beta ]==> (b (((^z.z) b)(a a))) 4. ==[ alpha ]==> (b (((^x.x) b)(a a))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 125930/12664974. ------ 1. ==[ start ]==> (((a b) a)((^b.b) b)) 2. ==[ alpha ]==> (((a b) a)((^x.x) b)) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 125931/12664992. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 125932/12665001. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 125933/12665019. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((b a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((b a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y) a))) 5. ==[ beta ]==> ((b a)((^y.y) a)) 6. ==[ alpha ]==> ((b a)((^x.x) a)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 125934/12665073. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.y))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 125935/12665154. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 125936/12665181. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 125937/12665253. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b (^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.z))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 125938/12665307. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(a a))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 125939/12665334. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 125940/12665352. ------ 1. ==[ start ]==> (((^a.b) b)((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)((b a)(^y.a))) 3. ==[ beta ]==> (b ((b a)(^y.a))) 4. ==[ alpha ]==> (b ((b a)(^x.a))) REDUCED to normal form. ------ 125941/12665568. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 125942/12665595. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a a)(^y.y))) 3. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 125943/12665622. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) b) a)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(b a)) REDUCED to normal form. ------ 125944/12665649. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 125945/12665901. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 125946/12665928. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 125947/12666000. ------ 1. ==[ start ]==> (((^a.b) c)((^d.a) c)) 2. ==[ alpha ]==> (((^x.b) c)((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 125948/12666099. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 125949/12666234. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 125950/12666270. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a a) b)((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 125951/12666297. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 125952/12666351. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 125953/12666378. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 125954/12666432. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125955/12666459. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 125956/12666486. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 125957/12666540. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 125958/12666576. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 125959/12666630. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 125960/12666657. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 125961/12666684. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 11. ==[ beta ]==> b REDUCED to normal form. ------ 125962/12666738. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 125963/12666765. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 125964/12666792. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 125965/12666909. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (b (((a a)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 125966/12666990. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (((a a) a)(^y.y))) 6. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 125967/12667098. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((b a)((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((b a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 125968/12667125. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 125969/12667161. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((b a)(^z.z))) 3. ==[ beta ]==> ((a (^y.(a a)))((b a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))((b a)(^y.y))) REDUCED to normal form. ------ 125970/12667188. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 125971/12667242. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 125972/12667269. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 125973/12667296. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.a))(^z.a)) 8. ==[ alpha ]==> (((a a)(^x.a))(^y.a)) REDUCED to normal form. ------ 125974/12667323. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(^x1.b))) REDUCED to normal form. ------ 125975/12667386. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 125976/12667413. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(b a)) REDUCED to normal form. ------ 125977/12667467. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 125978/12667494. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 125979/12667521. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 125980/12667548. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 125981/12667575. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 125982/12667602. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 125983/12667665. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b ((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b ((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b ((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 125984/12667746. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a (^y.y)))) 7. ==[ beta ]==> ((a a)((a a)(a (^y.y)))) 8. ==[ alpha ]==> ((a a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 125985/12667827. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((^y.y)(^z.z))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 125986/12667935. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 125987/12667971. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a)(^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 125988/12668052. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 125989/12668079. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 125990/12668133. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.b))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 125991/12668160. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 125992/12668187. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 125993/12668241. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a a) b)) REDUCED to normal form. ------ 125994/12668277. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 125995/12668304. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 125996/12668331. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 125997/12668385. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a b)((^y.a)(^z.b))) 6. ==[ alpha ]==> ((a b)((^x.a)(^y.b))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 125998/12668412. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 125999/12668439. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 126000/12668538. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.a) d)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a) d)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) d)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) d)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126001/12668583. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 126002/12668610. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((a a) a)) 6. ==[ alpha ]==> (((^x.x) a)((a a) a)) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 126003/12668862. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 126004/12668889. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a a)(^y.(a a)))) 3. ==[ beta ]==> ((b a)((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((b a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 126005/12668916. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 126006/12668943. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a b) b)) REDUCED to normal form. ------ 126007/12669069. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 126008/12669132. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 126009/12669177. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((a a) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126010/12669303. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b (^y.b))) 3. ==[ beta ]==> ((a (b a))(b (^y.b))) 4. ==[ alpha ]==> ((a (b a))(b (^x.b))) REDUCED to normal form. ------ 126011/12669330. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 126012/12669357. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.b)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.b)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(a a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.b)(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(a a))) 7. ==[ beta ]==> ((a a)((^y.b)(a a))) 8. ==[ alpha ]==> ((a a)((^x.b)(a a))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 126013/12669384. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 126014/12669411. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 126015/12669438. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 126016/12669465. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 126017/12669519. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a b)) REDUCED to normal form. ------ 126018/12669546. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.b)(^z.z))) 3. ==[ beta ]==> ((b (a a))((^y.b)(^z.z))) 4. ==[ alpha ]==> ((b (a a))((^x.b)(^y.y))) 5. ==[ beta ]==> ((b (a a)) b) REDUCED to normal form. ------ 126019/12669744. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a)(a a))) 3. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 126020/12669852. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126021/12669915. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 126022/12669969. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.a))) REDUCED to normal form. ------ 126023/12669996. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 126024/12670077. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((a a) a) a)) REDUCED to normal form. ------ 126025/12670104. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.b))((^z.z) b)) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.y) b)) 5. ==[ beta ]==> (((a b)(^x.b)) b) REDUCED to normal form. ------ 126026/12670203. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(b ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126027/12670239. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a) a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a) a)) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 126028/12670266. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 126029/12670329. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c (^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(c (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.(y y)))) REDUCED to normal form. ------ 126030/12670356. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 126031/12670383. ------ 1. ==[ start ]==> (((a (a a))(b a))(a (^c.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(a (^x.a))) REDUCED to normal form. ------ 126032/12670410. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 126033/12670437. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a)(a a))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 126034/12670464. ------ 1. ==[ start ]==> (((a b)(a b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 126035/12670491. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 126036/12670518. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 126037/12670572. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 126038/12670599. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 126039/12670626. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 126040/12670653. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 126041/12670743. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (^x2.x2))((^y2.y2) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x2.x2))((^y2.y2) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126042/12670968. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (^y.y)) c)) 3. ==[ beta ]==> ((b c)((a (^y.y)) c)) 4. ==[ alpha ]==> ((b c)((a (^x.x)) c)) REDUCED to normal form. ------ 126043/12671040. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((b (^x.x))(a (a a))) REDUCED to normal form. ------ 126044/12671067. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 126045/12671130. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 126046/12671211. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y) a) a)) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a a)) REDUCED to normal form. ------ 126047/12671238. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (^z.z)) b)) 3. ==[ beta ]==> (((a a)(^y.b))((a (^z.z)) b)) 4. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y)) b)) REDUCED to normal form. ------ 126048/12671310. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126049/12671319. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 126050/12671346. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.z) c)) 3. ==[ beta ]==> ((b (^y.a))((^z.z) c)) 4. ==[ alpha ]==> ((b (^x.a))((^y.y) c)) 5. ==[ beta ]==> ((b (^x.a)) c) REDUCED to normal form. ------ 126051/12671373. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 126052/12671436. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 126053/12671463. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 126054/12671490. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(b (^z.z))) 3. ==[ beta ]==> ((a ((^y.y) b))(b (^z.z))) 4. ==[ alpha ]==> ((a ((^x.x) b))(b (^y.y))) 5. ==[ beta ]==> ((a b)(b (^y.y))) 6. ==[ alpha ]==> ((a b)(b (^x.x))) REDUCED to normal form. ------ 126055/12671517. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 126056/12671544. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.z)(a a))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(a a))) 5. ==[ beta ]==> ((b a)((^y.y)(a a))) 6. ==[ alpha ]==> ((b a)((^x.x)(a a))) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 126057/12671571. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 126058/12671598. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(a (^y.y))) 3. ==[ beta ]==> (((a b)(a a))(a (^y.y))) 4. ==[ alpha ]==> (((a b)(a a))(a (^x.x))) REDUCED to normal form. ------ 126059/12680316. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a))) c) 2. ==[ alpha ]==> (((a b)((^x.x)(a a))) c) 3. ==[ beta ]==> (((a b)(a a)) c) REDUCED to normal form. ------ 126060/12680592. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 126061/12680664. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a)(^z.(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 126062/12680835. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 126063/12680934. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x (x x)))((b (^y.y)) a)) 3. ==[ beta ]==> (((b (^y.y)) a)(((b (^y.y)) a)((b (^y.y)) a))) 4. ==[ alpha ]==> (((b (^x.x)) a)(((b (^y.y)) a)((b (^z.z)) a))) REDUCED to normal form. ------ 126064/12681159. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 126065/12681717. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((((^y.y) b)(^z.(^x1.x1)))(((^y.y) b)(^z.(^x1.x1))))(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((((^x.x) b)(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1))))(((^x2.x2) b)(^y2.(^z2.z2)))) 5. ==[ beta ]==> (((b (^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1))))(((^x2.x2) b)(^y2.(^z2.z2)))) 6. ==[ alpha ]==> (((b (^x.(^y.y)))(((^z.z) b)(^x1.(^y1.y1))))(((^z1.z1) b)(^x2.(^y2.y2)))) 7. ==[ beta ]==> (((b (^x.(^y.y)))(b (^x1.(^y1.y1))))(((^z1.z1) b)(^x2.(^y2.y2)))) 8. ==[ alpha ]==> (((b (^x.(^y.y)))(b (^z.(^x1.x1))))(((^y1.y1) b)(^z1.(^x2.x2)))) 9. ==[ beta ]==> (((b (^x.(^y.y)))(b (^z.(^x1.x1))))(b (^z1.(^x2.x2)))) 10. ==[ alpha ]==> (((b (^x.(^y.y)))(b (^z.(^x1.x1))))(b (^y1.(^z1.z1)))) REDUCED to normal form. ------ 126066/12682050. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 126067/12682386. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((x x)(x x)))) REDUCED to normal form. ------ 126068/12682824. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((((a a)(^z.z))(^x1.(x1 x1)))(((a a)(^z.z))(^x1.(x1 x1))))) 4. ==[ alpha ]==> ((^x.x)((((a a)(^y.y))(^z.(z z)))(((a a)(^x1.x1))(^y1.(y1 y1))))) 5. ==[ beta ]==> ((((a a)(^y.y))(^z.(z z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 126069/12683052. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)((^y.y)(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 126070/12683682. ------ 1. ==[ start ]==> (((a b) c)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 126071/12684804. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)((^z1.z1)(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 126072/12685695. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126073/12686346. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 7. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 126074/12686571. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(z z))) REDUCED to normal form. ------ 126075/12687009. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((a a) a) b)) 3. ==[ beta ]==> (((((a a) a) b)(((a a) a) b))((((a a) a) b)(((a a) a) b))) REDUCED to normal form. ------ 126076/12687327. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.((a a) a))) 3. ==[ beta ]==> ((b b)(^y.((a a) a))) 4. ==[ alpha ]==> ((b b)(^x.((a a) a))) REDUCED to normal form. ------ 126077/12687678. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 126078/12688542. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 126079/12688560. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) REDUCED to normal form. ------ 126080/12688641. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (b (^z.((^x1.x1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 126081/12688785. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 126082/12688956. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 126083/12688983. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.z))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 126084/12689037. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^b.a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.a)) 3. ==[ beta ]==> (((a b)(a a))(^y.a)) 4. ==[ alpha ]==> (((a b)(a a))(^x.a)) REDUCED to normal form. ------ 126085/12689085. ------ 1. ==[ start ]==> (((^a.a) a)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (a ((a b)((^y.y)(a a)))) 4. ==[ alpha ]==> (a ((a b)((^x.x)(a a)))) 5. ==[ beta ]==> (a ((a b)(a a))) REDUCED to normal form. ------ 126086/12689112. ------ 1. ==[ start ]==> (((a a) a)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 126087/12689139. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(b a))) 5. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 126088/12689166. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> (b ((a (a a))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (b ((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 126089/12689193. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 126090/12689220. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 126091/12689247. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)(b (^y.y)))) REDUCED to normal form. ------ 126092/12689319. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 126093/12689337. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 126094/12689364. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 126095/12689391. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 126096/12689481. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> (a ((^y.b)((^z.z)(a a)))) 6. ==[ alpha ]==> (a ((^x.b)((^y.y)(a a)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 126097/12689562. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.(x x)))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 126098/12689580. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 126099/12689661. ------ 1. ==[ start ]==> ((a (a (a a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((a (a (a a)))((b (^x.x)) a)) REDUCED to normal form. ------ 126100/12689697. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 126101/12689751. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 126102/12689859. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 126103/12689886. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 126104/12689976. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c ((^y.y) b))) 3. ==[ beta ]==> ((b b)(c ((^y.y) b))) 4. ==[ alpha ]==> ((b b)(c ((^x.x) b))) 5. ==[ beta ]==> ((b b)(c b)) REDUCED to normal form. ------ 126105/12690111. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> (((a (a a)) b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 126106/12690138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b a)(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((b a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((b a)(a (a a)))) 5. ==[ beta ]==> (a ((b a)(a (a a)))) REDUCED to normal form. ------ 126107/12690165. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 126108/12690192. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)((a a) a))) REDUCED to normal form. ------ 126109/12690219. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)(a b))) 3. ==[ beta ]==> ((a (^y.a))((a b)(a b))) 4. ==[ alpha ]==> ((a (^x.a))((a b)(a b))) REDUCED to normal form. ------ 126110/12690246. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 126111/12690273. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 10. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 126112/12690417. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(a a))(^y.y))) 5. ==[ beta ]==> ((a a)(((a a)(a a))(^y.y))) 6. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 126113/12690444. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 126114/12690480. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 126115/12690534. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 126116/12690642. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126117/12690696. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)((^y.a)(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a a)((^x.a)(a (^y.(^z.z))))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 126118/12690777. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 126119/12690795. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) b) b)) 3. ==[ beta ]==> (((a a)((a a) a))(b b)) REDUCED to normal form. ------ 126120/12690966. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 126121/12691047. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.(^y1.(^z1.z1))))) IRREDUCIBLE: cycle. ------ 126122/12691110. ------ 1. ==[ start ]==> ((((a a) a) b)(a ((a a)(a a)))) REDUCED to normal form. ------ 126123/12691137. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) b)(a a))) 3. ==[ beta ]==> (((a b) a)(b (a a))) REDUCED to normal form. ------ 126124/12691164. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 126125/12691218. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(a (a a)))) REDUCED to normal form. ------ 126126/12691245. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)(^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 126127/12691272. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a b)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a b)((a a) a))) 6. ==[ alpha ]==> ((^x.a)((a b)((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 126128/12691299. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(a b))) REDUCED to normal form. ------ 126129/12691326. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a a))) 7. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 126130/12691470. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) b)(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) b)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(^z.z))) 7. ==[ beta ]==> (a (((^y.y) b)(^z.z))) 8. ==[ alpha ]==> (a (((^x.x) b)(^y.y))) 9. ==[ beta ]==> (a (b (^y.y))) 10. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 126131/12691497. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 126132/12691524. ------ 1. ==[ start ]==> (((a b)(a a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))((b a)(^x.a))) REDUCED to normal form. ------ 126133/12691551. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 126134/12691560. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 126135/12691587. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 126136/12691641. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a b))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 7. ==[ beta ]==> ((^y.a)(a b)) 8. ==[ alpha ]==> ((^x.a)(a b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 126137/12691722. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> (b ((^x1.a)(b a))) 4. ==[ alpha ]==> (b ((^x.a)(b a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 126138/12691776. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.z) b))) 5. ==[ beta ]==> ((a a)((^y.y)((^z.z) b))) 6. ==[ alpha ]==> ((a a)((^x.x)((^y.y) b))) 7. ==[ beta ]==> ((a a)((^y.y) b)) 8. ==[ alpha ]==> ((a a)((^x.x) b)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 126139/12691803. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126140/12691938. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (b ((^z.b)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 126141/12692118. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z) a)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z) a)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y) a)) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 126142/12692145. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 126143/12692163. ------ 1. ==[ start ]==> (((^a.b) c)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((b a)(a (^y.y)))) 3. ==[ beta ]==> (b ((b a)(a (^y.y)))) 4. ==[ alpha ]==> (b ((b a)(a (^x.x)))) REDUCED to normal form. ------ 126144/12692397. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 126145/12692406. ------ 1. ==[ start ]==> (((a b) c)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 126146/12692559. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 126147/12692640. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (b (((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (b ((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 126148/12692739. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 126149/12692766. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((b a) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))((b a) b)) REDUCED to normal form. ------ 126150/12692793. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a)(^y.y)) c)) 3. ==[ beta ]==> ((a (a b))(((a a)(^y.y)) c)) 4. ==[ alpha ]==> ((a (a b))(((a a)(^x.x)) c)) REDUCED to normal form. ------ 126151/12693216. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a))(a b))) REDUCED to normal form. ------ 126152/12693261. ------ 1. ==[ start ]==> (((^a.a)(b a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(c (^y.(^z.z)))) 3. ==[ beta ]==> ((b a)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)(c (^x.(^y.y)))) REDUCED to normal form. ------ 126153/12693423. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.b)(a (a a)))) 3. ==[ beta ]==> (b ((^y.b)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.b)(a (a a)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 126154/12693531. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 126155/12693549. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 126156/12693603. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((b a) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((b a) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((b a) a)) 5. ==[ beta ]==> ((a (a a))((b a) a)) REDUCED to normal form. ------ 126157/12693630. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(a b))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 126158/12694098. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126159/12694107. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 126160/12694152. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126161/12694206. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)((^z.z) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.b)((^z.z) a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.b)((^y.y) a))) 9. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 126162/12694287. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a) a))) 5. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 126163/12694422. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 126164/12694440. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a b) c)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a b) c)) REDUCED to normal form. ------ 126165/12694656. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(a a)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a)) b)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 126166/12694701. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126167/12694908. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 126168/12695016. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126169/12695070. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 126170/12695097. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(a a))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 126171/12695232. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 126172/12695241. ------ 1. ==[ start ]==> (((a b)(^c.a))(c ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(c ((a a) a))) REDUCED to normal form. ------ 126173/12695268. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a b))) REDUCED to normal form. ------ 126174/12695295. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a (a a))) REDUCED to normal form. ------ 126175/12695349. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((a a) a)(a (^y1.y1)))) REDUCED to normal form. ------ 126176/12695376. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((b (^x.x))((^z.z) a)) 8. ==[ alpha ]==> ((b (^x.x))((^y.y) a)) 9. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 126177/12695520. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)(^z.z))) 5. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.z))) 6. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.y))) 7. ==[ beta ]==> ((a a)((a b)(^y.y))) 8. ==[ alpha ]==> ((a a)((a b)(^x.x))) REDUCED to normal form. ------ 126178/12695547. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 126179/12695574. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a b)((a a) a))(^y.a)) 6. ==[ alpha ]==> (((a b)((a a) a))(^x.a)) REDUCED to normal form. ------ 126180/12695601. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 126181/12695628. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 126182/12695682. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a)(^x1.b))) REDUCED to normal form. ------ 126183/12695709. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a b) a)) 3. ==[ beta ]==> ((b (a a))((a b) a)) REDUCED to normal form. ------ 126184/12695736. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((a a) a) b)) REDUCED to normal form. ------ 126185/12695772. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126186/12696015. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(c (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126187/12696051. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a)((a a) a))) 3. ==[ beta ]==> ((b b)((a a)((a a) a))) REDUCED to normal form. ------ 126188/12696123. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126189/12696177. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)(a (a a)))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 126190/12696258. ------ 1. ==[ start ]==> (((^a.b)(a b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)(^z.z))) 3. ==[ beta ]==> (b ((^y.a)(^z.z))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 126191/12696366. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126192/12696375. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(b (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b (^x1.x1))) REDUCED to normal form. ------ 126193/12696402. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(a ((a a) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(a ((a a) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 126194/12696429. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a)(a a))(^x.x))(a a)) REDUCED to normal form. ------ 126195/12696573. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.x1))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 126196/12696600. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 126197/12696627. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.a))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.a))) REDUCED to normal form. ------ 126198/12696654. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 126199/12696681. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 126200/12696735. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (a a)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (a a)) b)) REDUCED to normal form. ------ 126201/12696762. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z) a) c)) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z) a) c)) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) a) c)) 5. ==[ beta ]==> ((b (a (^x.x)))(a c)) REDUCED to normal form. ------ 126202/12696987. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(z z))(a a))) 3. ==[ beta ]==> (b ((^z.(z z))(a a))) 4. ==[ alpha ]==> (b ((^x.(x x))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 126203/12697095. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(y1 y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126204/12697131. ------ 1. ==[ start ]==> ((((^a.a) b) c)(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(c (a (^y.y)))) 3. ==[ beta ]==> ((b c)(c (a (^y.y)))) 4. ==[ alpha ]==> ((b c)(c (a (^x.x)))) REDUCED to normal form. ------ 126205/12697158. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(b ((^x.x) a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(b a)) REDUCED to normal form. ------ 126206/12697266. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 126207/12697284. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^y1.(y1 y1)))) REDUCED to normal form. ------ 126208/12697365. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 126209/12697401. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(c (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(c (a a))) 3. ==[ beta ]==> (((a a)(^y.b))(c (a a))) 4. ==[ alpha ]==> (((a a)(^x.b))(c (a a))) REDUCED to normal form. ------ 126210/12697482. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 126211/12697509. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((b (^y.a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 126212/12697599. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 126213/12697626. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a a) b)) REDUCED to normal form. ------ 126214/12697653. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a b)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a b)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 126215/12697680. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z) b)) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 126216/12697707. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.y)(b a))((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(b a))((a a)(^y.y))) 5. ==[ beta ]==> ((b a)((a a)(^y.y))) 6. ==[ alpha ]==> ((b a)((a a)(^x.x))) REDUCED to normal form. ------ 126217/12697734. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 126218/12697761. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.y) a)) 3. ==[ beta ]==> (((a b)(a a))((^y.y) a)) 4. ==[ alpha ]==> (((a b)(a a))((^x.x) a)) 5. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 126219/12697787. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (^x.(((^y.y)(x x))(x b))) 3. ==[ beta ]==> (^x.((x x)(x b))) REDUCED to normal form. ------ 126220/12697788. ------ 1. ==[ start ]==> (a (((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (a (((^x.x)(a a))(a b))) 3. ==[ beta ]==> (a ((a a)(a b))) REDUCED to normal form. ------ 126221/12706515. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b)) a) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b)) a) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 126222/12706521. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 3. ==[ beta ]==> (((^y.y)(a a))(a b)) 4. ==[ alpha ]==> (((^x.x)(a a))(a b)) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 126223/12706548. ------ 1. ==[ start ]==> ((^a.(a a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)((^y.y)(a a)))((a b)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a b)((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(a a))((a b)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a b)(a a))((a b)((^x.x)(a a)))) 7. ==[ beta ]==> (((a b)(a a))((a b)(a a))) REDUCED to normal form. ------ 126224/12706575. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 126225/12706656. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((((^z.z) a)((^x1.x1) b))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.z)) 5. ==[ beta ]==> ((a ((^y.y) b))(^z.z)) 6. ==[ alpha ]==> ((a ((^x.x) b))(^y.y)) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 126226/12706773. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 126227/12707016. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 126228/12707109. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(y (^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 126229/12707466. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126230/12708216. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((a a)(a a)))) REDUCED to normal form. ------ 126231/12708231. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(a a)) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 126232/12708567. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 126233/12709242. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 126234/12709575. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((^z.z) b))) 5. ==[ beta ]==> ((a (a a))(^y.((^z.z) b))) 6. ==[ alpha ]==> ((a (a a))(^x.((^y.y) b))) 7. ==[ beta ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 126235/12709680. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((((^z.z)(a a))(a (a a)))(((^z.z)(a a))(a (a a))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(a a))(a (a a)))(((^y.y)(a a))(a (a a))))(^z.z)) 5. ==[ beta ]==> ((((a a)(a (a a)))(((^y.y)(a a))(a (a a))))(^z.z)) 6. ==[ alpha ]==> ((((a a)(a (a a)))(((^x.x)(a a))(a (a a))))(^y.y)) 7. ==[ beta ]==> ((((a a)(a (a a)))((a a)(a (a a))))(^y.y)) 8. ==[ alpha ]==> ((((a a)(a (a a)))((a a)(a (a a))))(^x.x)) REDUCED to normal form. ------ 126236/12709863. ------ 1. ==[ start ]==> (((a b) c)(^d.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 126237/12709890. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.z))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 126238/12710436. ------ 1. ==[ start ]==> ((^a.(b a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(c ((a a)(^y.y)))) 3. ==[ eta ]==> (b (c ((a a)(^y.y)))) 4. ==[ alpha ]==> (b (c ((a a)(^x.x)))) REDUCED to normal form. ------ 126239/12710781. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 126240/12710985. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 126241/12711876. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126242/12712086. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 126243/12712191. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 126244/12712527. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(a a)))) 5. ==[ beta ]==> (b (^y.(^z.(a a)))) 6. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 126245/12712536. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 126246/12712752. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 126247/12713535. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.b))) REDUCED to normal form. ------ 126248/12713697. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.((a a) a))) REDUCED to normal form. ------ 126249/12713859. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 126250/12714003. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.y))) REDUCED to normal form. ------ 126251/12714270. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b (a (a a)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 126252/12714750. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 126253/12714822. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 126254/12714831. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 126255/12714993. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 126256/12715056. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.c)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.c)) REDUCED to normal form. ------ 126257/12715110. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(y (^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(y (^z.z)))) 6. ==[ alpha ]==> ((a b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 126258/12715191. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.b)) REDUCED to normal form. ------ 126259/12715218. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(y y))) 3. ==[ beta ]==> (((a b)(a a))(^y.(y y))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(x x))) REDUCED to normal form. ------ 126260/12715245. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.y)) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 126261/12715257. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a b))) 3. ==[ beta ]==> ((a a)((a a)(a b))) REDUCED to normal form. ------ 126262/12715284. ------ 1. ==[ start ]==> ((a (a a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a a))((a b)((^x.x)(a a)))) 3. ==[ beta ]==> ((a (a a))((a b)(a a))) REDUCED to normal form. ------ 126263/12715311. ------ 1. ==[ start ]==> ((a b)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 126264/12715365. ------ 1. ==[ start ]==> (((a a)(a a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 126265/12715392. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> ((a (a (^x.x)))(a ((^z.z) b))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.y) b))) 5. ==[ beta ]==> ((a (a (^x.x)))(a b)) REDUCED to normal form. ------ 126266/12715410. ------ 1. ==[ start ]==> (((a a) b)(c (^c.(a a)))) 2. ==[ alpha ]==> (((a a) b)(c (^x.(a a)))) REDUCED to normal form. ------ 126267/12715482. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 126268/12715509. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 126269/12715545. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 126270/12715590. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 126271/12715626. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 126272/12715653. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(a a))(a b))) 3. ==[ beta ]==> ((a a)((^y.(a a))(a b))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(a b))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 126273/12715671. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a b)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(^y.(a a)))) 5. ==[ beta ]==> (a ((a b)(^y.(a a)))) 6. ==[ alpha ]==> (a ((a b)(^x.(a a)))) REDUCED to normal form. ------ 126274/12715680. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 126275/12715734. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 126276/12715752. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 126277/12715842. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 126278/12715860. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b (^z.z)) a)) 3. ==[ beta ]==> ((^y.(y y))((b (^z.z)) a)) 4. ==[ alpha ]==> ((^x.(x x))((b (^y.y)) a)) 5. ==[ beta ]==> (((b (^y.y)) a)((b (^y.y)) a)) 6. ==[ alpha ]==> (((b (^x.x)) a)((b (^y.y)) a)) REDUCED to normal form. ------ 126279/12715887. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 126280/12715923. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 126281/12715950. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 126282/12716004. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 126283/12716031. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 126284/12716058. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 126285/12716166. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.z))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.y))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 126286/12716202. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(b ((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b ((a a)(a a)))) REDUCED to normal form. ------ 126287/12716292. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1) c)) 5. ==[ beta ]==> ((^y.y)((^y1.y1) c)) 6. ==[ alpha ]==> ((^x.x)((^y.y) c)) 7. ==[ beta ]==> ((^y.y) c) 8. ==[ alpha ]==> ((^x.x) c) 9. ==[ beta ]==> c REDUCED to normal form. ------ 126288/12716499. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))(b a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(b a))) REDUCED to normal form. ------ 126289/12716526. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 126290/12716553. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a a)((a (^y.y))((^z.z) b))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y) b))) 7. ==[ beta ]==> ((a a)((a (^x.x)) b)) REDUCED to normal form. ------ 126291/12716580. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 126292/12716670. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 126293/12716724. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 126294/12716760. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))((a a) a))) 5. ==[ beta ]==> (b ((^y.(a a))((a a) a))) 6. ==[ alpha ]==> (b ((^x.(a a))((a a) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 126295/12716787. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b)(a b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b)(a b))) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 126296/12716805. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 126297/12716841. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 126298/12716868. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z))(b a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))(b a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(b a))) 5. ==[ beta ]==> ((a (^x.(x x)))((b a)(b a))) REDUCED to normal form. ------ 126299/12716886. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.(^x1.x1))))) 9. ==[ beta ]==> ((a a)(a (^y.(^z.(^x1.x1))))) 10. ==[ alpha ]==> ((a a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 126300/12716895. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 126301/12716922. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126302/12716949. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 126303/12716967. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(a a)) a)) REDUCED to normal form. ------ 126304/12717138. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)((^y.b)(^z.b))) 3. ==[ beta ]==> (b ((^y.b)(^z.b))) 4. ==[ alpha ]==> (b ((^x.b)(^y.b))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 126305/12717300. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.(a a))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(a a))) REDUCED to normal form. ------ 126306/12717318. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a)) a)) 3. ==[ beta ]==> (b ((^z.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 126307/12717345. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.b) b)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y) b)) 3. ==[ beta ]==> ((a b)((^y.y) b)) 4. ==[ alpha ]==> ((a b)((^x.x) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 126308/12717552. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 126309/12717579. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a (b a))) REDUCED to normal form. ------ 126310/12717606. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 126311/12717633. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)((^x.x) b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a) b)) REDUCED to normal form. ------ 126312/12717705. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 126313/12717750. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(a a))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(a a))(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 126314/12717777. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 126315/12717831. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.b))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.b))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.b))) 7. ==[ beta ]==> (((a a) a)(^y.b)) 8. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 126316/12717921. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(b a))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(b a))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 126317/12717948. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 126318/12717966. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.y))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 126319/12717975. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z) b)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) b)) 5. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 126320/12717993. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z) b) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z) b) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) a)) 5. ==[ beta ]==> (((^y.y) b) a) 6. ==[ alpha ]==> (((^x.x) b) a) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 126321/12718002. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 126322/12718047. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((b a) c)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((b a) c)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a) c)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a) c)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a) c)) 7. ==[ beta ]==> (((^y.y)(^z.z))((b a) c)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((b a) c)) 9. ==[ beta ]==> ((^y.y)((b a) c)) 10. ==[ alpha ]==> ((^x.x)((b a) c)) 11. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 126323/12718110. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 126324/12718137. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 126325/12718281. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 126326/12718308. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(a ((^z.z) b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(a ((^z.z) b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(a ((^y.y) b))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y) b))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x) b))) 7. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 126327/12718335. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 126328/12718362. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 126329/12718389. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 126330/12718416. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 126331/12718596. ------ 1. ==[ start ]==> (((a b) c)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 126332/12718623. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a (^y.y))) 3. ==[ beta ]==> (((a a) b)(a (^y.y))) 4. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 126333/12718650. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 126334/12718668. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 126335/12718695. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 126336/12718704. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 126337/12718731. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 126338/12718749. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 126339/12718785. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126340/12718812. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 126341/12718830. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 126342/12718839. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a b)(^x.a))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a b)(^x.a))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a b)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 126343/12718866. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 126344/12718893. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 126345/12719172. ------ 1. ==[ start ]==> ((a (b a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(c ((a a)(^x.x)))) REDUCED to normal form. ------ 126346/12719514. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 126347/12719532. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((b a)(^y.y))) 3. ==[ beta ]==> (((a b)(a b))((b a)(^y.y))) 4. ==[ alpha ]==> (((a b)(a b))((b a)(^x.x))) REDUCED to normal form. ------ 126348/12719595. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 126349/12719613. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a b)(^y.(y y)))) 3. ==[ beta ]==> (b ((a b)(^y.(y y)))) 4. ==[ alpha ]==> (b ((a b)(^x.(x x)))) REDUCED to normal form. ------ 126350/12719622. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 126351/12719649. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 126352/12719676. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 126353/12719721. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(a a)))) REDUCED to normal form. ------ 126354/12720000. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126355/12720099. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 126356/12720297. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 126357/12720342. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 126358/12720396. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a b)(^z.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a b)(^z.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a b)(^z.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a b)(^z.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)(^y.a))) 7. ==[ beta ]==> (((a a)(a a))((a b)(^y.a))) 8. ==[ alpha ]==> (((a a)(a a))((a b)(^x.a))) REDUCED to normal form. ------ 126359/12720405. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) b) REDUCED to normal form. ------ 126360/12720432. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((^y.b)((^z.a)(a (a a)))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 126361/12720477. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (b ((a (a a))(^x1.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 126362/12720486. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 126363/12720513. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a)(a b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(a b))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 126364/12720540. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 126365/12720585. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126366/12720612. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 126367/12720792. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(b ((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(b (a a))) REDUCED to normal form. ------ 126368/12720819. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(a ((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 126369/12720846. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 126370/12720900. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(((a a) a) a)) REDUCED to normal form. ------ 126371/12720927. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((a b)((^x.x)(a (a a)))) 7. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 126372/12721098. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 126373/12721215. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 126374/12721242. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 126375/12721260. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(^y.(a a)))) 5. ==[ beta ]==> (b ((a a)(^y.(a a)))) 6. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 126376/12721269. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 126377/12721287. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((^y.y)(a a)) a) 6. ==[ alpha ]==> (((^x.x)(a a)) a) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 126378/12721296. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(a a))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 126379/12721377. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 126380/12721404. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 126381/12721431. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 126382/12721458. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 126383/12721485. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(a a))) REDUCED to normal form. ------ 126384/12721530. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126385/12721602. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a a) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 126386/12721629. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 126387/12721656. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((a (b a))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((a (b a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 126388/12721683. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a a)(a b))) REDUCED to normal form. ------ 126389/12721962. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> (((^y.y)(^z.z)) c) 6. ==[ alpha ]==> (((^x.x)(^y.y)) c) 7. ==[ beta ]==> ((^y.y) c) 8. ==[ alpha ]==> ((^x.x) c) 9. ==[ beta ]==> c REDUCED to normal form. ------ 126390/12722097. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b) a)) 3. ==[ beta ]==> (b ((^z.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 126391/12722241. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(b (^y.a))) 3. ==[ beta ]==> ((b b)(b (^y.a))) 4. ==[ alpha ]==> ((b b)(b (^x.a))) REDUCED to normal form. ------ 126392/12722268. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(a (^x.b))) REDUCED to normal form. ------ 126393/12722286. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((a a) a)(^y.y))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 126394/12722313. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 126395/12722322. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 126396/12722349. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(((^y1.y1) a)((^y1.y1) a))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)((^y1.y1) a))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a ((^y1.y1) a))) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((^x1.x1) a))) 9. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 126397/12722367. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (((b a)(b a))(a (^y.(y y)))) 6. ==[ alpha ]==> (((b a)(b a))(a (^x.(x x)))) REDUCED to normal form. ------ 126398/12722430. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 126399/12722448. ------ 1. ==[ start ]==> (((^a.b)(a b))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.b)(a b))(((a a) a) a)) 3. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 126400/12722457. ------ 1. ==[ start ]==> (((a b)(^a.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 126401/12722511. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.a)(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 126402/12722565. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 126403/12722592. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 126404/12722655. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 126405/12722682. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) b)(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x)) b)(a ((^y.y) a))) 7. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 126406/12722709. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 126407/12722736. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(b a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(b a))((a a)(^x.x))) REDUCED to normal form. ------ 126408/12723006. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(b (a (a a)))) REDUCED to normal form. ------ 126409/12723096. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.a) c)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.a) c)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.a) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.a) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126410/12723177. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (a a))(^z.z))) 3. ==[ beta ]==> (b ((a (a a))(^z.z))) 4. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 126411/12723285. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126412/12723321. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 126413/12723348. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 126414/12723393. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y)) a)) 5. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 126415/12723420. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.a) b)) 3. ==[ beta ]==> ((^y.y)((^z.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 126416/12723456. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (^z.a))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 126417/12723483. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 126418/12723555. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 126419/12723564. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))((^z.z) a)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y) a)) 5. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 126420/12723591. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 126421/12723663. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126422/12723699. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 126423/12723726. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 126424/12723789. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a c)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a c)) REDUCED to normal form. ------ 126425/12723816. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(b (a a))) REDUCED to normal form. ------ 126426/12723843. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(a (a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) b))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(a (a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (a (^y.y)))) 6. ==[ alpha ]==> ((a b)(a (a (^x.x)))) REDUCED to normal form. ------ 126427/12723870. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a a)(a a))) REDUCED to normal form. ------ 126428/12723897. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(b a)) 3. ==[ beta ]==> (((^y.y)(b a))(b a)) 4. ==[ alpha ]==> (((^x.x)(b a))(b a)) 5. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 126429/12723924. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(a b)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 126430/12723951. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(a (a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(a (a a))) 3. ==[ beta ]==> (((a b)(a a))(a (a a))) REDUCED to normal form. ------ 126431/12723978. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(a a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(a a)) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 126432/12724584. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((^y.(y (^z.z)))((^y.(y (^z.z)))(^y.(y (^z.z))))) 4. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z (^x1.x1)))(^y1.(y1 (^z1.z1))))) 5. ==[ beta ]==> (((^z.(z (^x1.x1)))(^y1.(y1 (^z1.z1))))(^y.y)) 6. ==[ alpha ]==> (((^x.(x (^y.y)))(^z.(z (^x1.x1))))(^y1.y1)) 7. ==[ beta ]==> (((^z.(z (^x1.x1)))(^y.y))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(x (^y.y)))(^z.z))(^x1.x1)) 9. ==[ beta ]==> (((^z.z)(^y.y))(^x1.x1)) 10. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126433/12732714. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b)) b) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b)) b) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 126434/12732738. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126435/12732819. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 126436/12733053. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 126437/12733323. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((^y.y)(b (^z.z)))(((^y.y)(b (^z.z)))((^y.y)(b (^z.z))))) 4. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z)(b (^x1.x1)))((^y1.y1)(b (^z1.z1))))) 5. ==[ beta ]==> ((b (^y.y))(((^z.z)(b (^x1.x1)))((^y1.y1)(b (^z1.z1))))) 6. ==[ alpha ]==> ((b (^x.x))(((^y.y)(b (^z.z)))((^x1.x1)(b (^y1.y1))))) 7. ==[ beta ]==> ((b (^x.x))((b (^z.z))((^x1.x1)(b (^y1.y1))))) 8. ==[ alpha ]==> ((b (^x.x))((b (^y.y))((^z.z)(b (^x1.x1))))) 9. ==[ beta ]==> ((b (^x.x))((b (^y.y))(b (^x1.x1)))) 10. ==[ alpha ]==> ((b (^x.x))((b (^y.y))(b (^z.z)))) REDUCED to normal form. ------ 126438/12733326. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(x (^y.y)))) REDUCED to normal form. ------ 126439/12733713. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 126440/12734619. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)(^z.b))) 3. ==[ beta ]==> (((^y.b)(^z.b)) b) 4. ==[ alpha ]==> (((^x.b)(^y.b)) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 126441/12734793. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((z z)(z z)))) 3. ==[ beta ]==> (b (^z.((z z)(z z)))) 4. ==[ alpha ]==> (b (^x.((x x)(x x)))) REDUCED to normal form. ------ 126442/12735006. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))((^y1.y1)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a))))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))((^x1.x1)(a a)))(((^y1.y1)(^z1.z1))((^x2.x2)(a a))))) 5. ==[ beta ]==> (^x.(((^z.z)((^x1.x1)(a a)))(((^y1.y1)(^z1.z1))((^x2.x2)(a a))))) 6. ==[ alpha ]==> (^x.(((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a))))) 7. ==[ beta ]==> (^x.(((^z.z)(a a))(((^x1.x1)(^y1.y1))((^z1.z1)(a a))))) 8. ==[ alpha ]==> (^x.(((^y.y)(a a))(((^z.z)(^x1.x1))((^y1.y1)(a a))))) 9. ==[ beta ]==> (^x.((a a)(((^z.z)(^x1.x1))((^y1.y1)(a a))))) 10. ==[ alpha ]==> (^x.((a a)(((^y.y)(^z.z))((^x1.x1)(a a))))) 11. ==[ beta ]==> (^x.((a a)((^z.z)((^x1.x1)(a a))))) 12. ==[ alpha ]==> (^x.((a a)((^y.y)((^z.z)(a a))))) 13. ==[ beta ]==> (^x.((a a)((^z.z)(a a)))) 14. ==[ alpha ]==> (^x.((a a)((^y.y)(a a)))) 15. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 126443/12735450. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 126444/12735783. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.z))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 126445/12736404. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 126446/12736644. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(^z.(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 126447/12737268. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(z a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(z a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(y a))) 5. ==[ beta ]==> ((a (a a))(^y.(y a))) 6. ==[ alpha ]==> ((a (a a))(^x.(x a))) REDUCED to normal form. ------ 126448/12737481. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((^x1.a)(^y1.(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^z.(^x1.x1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 126449/12738294. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 126450/12738744. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 126451/12739185. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(z z)))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(y y)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(y y)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 126452/12739374. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(a y))) 3. ==[ eta ]==> ((((^x.x) b)(a a)) a) 4. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 126453/12739398. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.b)(^z.z))) 3. ==[ beta ]==> ((((^y.b)(^z.z))((^y.b)(^z.z)))(((^y.b)(^z.z))((^y.b)(^z.z)))) 4. ==[ alpha ]==> ((((^x.b)(^y.y))((^z.b)(^x1.x1)))(((^y1.b)(^z1.z1))((^x2.b)(^y2.y2)))) 5. ==[ beta ]==> ((b ((^z.b)(^x1.x1)))(((^y1.b)(^z1.z1))((^x2.b)(^y2.y2)))) 6. ==[ alpha ]==> ((b ((^x.b)(^y.y)))(((^z.b)(^x1.x1))((^y1.b)(^z1.z1)))) 7. ==[ beta ]==> ((b b)(((^z.b)(^x1.x1))((^y1.b)(^z1.z1)))) 8. ==[ alpha ]==> ((b b)(((^x.b)(^y.y))((^z.b)(^x1.x1)))) 9. ==[ beta ]==> ((b b)(b ((^z.b)(^x1.x1)))) 10. ==[ alpha ]==> ((b b)(b ((^x.b)(^y.y)))) 11. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 126454/12739572. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(z b))) 3. ==[ beta ]==> (b (^z.(z b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 126455/12739905. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 126456/12740478. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 126457/12740868. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(z (z z)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 126458/12741039. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 126459/12741138. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(a (a a)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126460/12741201. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 126461/12741264. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 126462/12741318. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 126463/12741372. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 126464/12741399. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(a a))) REDUCED to normal form. ------ 126465/12741426. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.z))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 126466/12741453. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.z))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 126467/12741483. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> ((a (^x.x))((a a)(a b))) REDUCED to normal form. ------ 126468/12741510. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 126469/12741537. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a a)(((a a) a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((a a)(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 126470/12741564. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(b a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 126471/12741618. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126472/12741645. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 126473/12741672. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(b (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(b (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(b (^y.y)))) REDUCED to normal form. ------ 126474/12741708. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b (^z.z))(^x1.x1))) REDUCED to normal form. ------ 126475/12741762. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((^y.y) b)(^z.a)) 6. ==[ alpha ]==> (((^x.x) b)(^y.a)) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 126476/12741771. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 126477/12741798. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 126478/12741843. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 126479/12741870. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.b))) 5. ==[ beta ]==> ((a a)((a a)(^y.b))) 6. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 126480/12741897. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)(^y.(a a)))) REDUCED to normal form. ------ 126481/12741987. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(a (^y.(^z.z))))) 6. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 126482/12742014. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 126483/12742041. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 126484/12742068. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(b (^y.y)))) 3. ==[ beta ]==> ((a (a (a a)))(b (^y.y))) 4. ==[ alpha ]==> ((a (a (a a)))(b (^x.x))) REDUCED to normal form. ------ 126485/12742140. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) b) c)) 3. ==[ beta ]==> ((a b)(((^y.y) b) c)) 4. ==[ alpha ]==> ((a b)(((^x.x) b) c)) 5. ==[ beta ]==> ((a b)(b c)) REDUCED to normal form. ------ 126486/12742365. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 126487/12742392. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 126488/12742428. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126489/12742455. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(a (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 126490/12742509. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 7. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 8. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 9. ==[ beta ]==> (b (a (^y.y))) 10. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 126491/12742518. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.b) c)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x) c)) 3. ==[ beta ]==> (((a (a a)) b) c) REDUCED to normal form. ------ 126492/12742563. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((b a)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((b a)(a (a a)))) 7. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 126493/12742590. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 126494/12742644. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)(a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(a b))) REDUCED to normal form. ------ 126495/12742797. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b (^y.(a a)))) REDUCED to normal form. ------ 126496/12742977. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (b (((^y.y)(a a))(^z.a))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> (b ((a a)(^y.a))) 8. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 126497/12743004. ------ 1. ==[ start ]==> ((((a a) a) a)((a b)(^a.b))) 2. ==[ alpha ]==> ((((a a) a) a)((a b)(^x.b))) REDUCED to normal form. ------ 126498/12743058. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 126499/12743112. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 126500/12743139. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126501/12743229. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 126502/12743256. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 126503/12743337. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 126504/12743364. ------ 1. ==[ start ]==> ((a (a b))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a (a b))((^x.b)(^y.b))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 126505/12743535. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a ((a a)(a a)))) 3. ==[ beta ]==> (b (a ((a a)(a a)))) REDUCED to normal form. ------ 126506/12743544. ------ 1. ==[ start ]==> (((a b) a)((^c.(a a)) a)) 2. ==[ alpha ]==> (((a b) a)((^x.(a a)) a)) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 126507/12743562. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((a b)(((^y.y) b)(a a))) 4. ==[ alpha ]==> ((a b)(((^x.x) b)(a a))) 5. ==[ beta ]==> ((a b)(b (a a))) REDUCED to normal form. ------ 126508/12743571. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.b) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y) b)) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 126509/12743589. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 126510/12743643. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 126511/12743724. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a)(a b))) 3. ==[ beta ]==> (b (((a a) a)(a b))) REDUCED to normal form. ------ 126512/12743751. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 126513/12743850. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b (^b.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.x))) REDUCED to normal form. ------ 126514/12743904. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 126515/12743922. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 126516/12743931. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 126517/12744165. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 126518/12744192. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 126519/12744219. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(b a)) REDUCED to normal form. ------ 126520/12744273. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a) c)) REDUCED to normal form. ------ 126521/12744417. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 126522/12744444. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 126523/12744498. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 126524/12744525. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 126525/12744570. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 126526/12744669. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 126527/12744804. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(b a))) 3. ==[ beta ]==> (b ((a (^z.z))(b a))) 4. ==[ alpha ]==> (b ((a (^x.x))(b a))) REDUCED to normal form. ------ 126528/12744867. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 126529/12744921. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 126530/12744948. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.b))((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(y y)))) REDUCED to normal form. ------ 126531/12745002. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126532/12745029. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.b))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.b)) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 126533/12745056. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 126534/12745146. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 126535/12745173. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 126536/12745254. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 9. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 10. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 126537/12745281. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 126538/12745308. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b) a)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 126539/12745335. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 126540/12745362. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 126541/12745389. ------ 1. ==[ start ]==> ((a (b a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 126542/12745479. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((b a)(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((b a)(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((b a)(a a))) 5. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 126543/12745560. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a b)(a (a a)))) 3. ==[ beta ]==> (b ((a b)(a (a a)))) REDUCED to normal form. ------ 126544/12745668. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((b a)(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((b a)(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((b a)(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 126545/12745695. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 126546/12745758. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((b a)(^y.y))) REDUCED to normal form. ------ 126547/12745812. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 126548/12745839. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 126549/12745866. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 126550/12745956. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 126551/12745983. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 126552/12746010. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)(b a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)(b a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(b a))) 5. ==[ beta ]==> ((a (a a))((^y.y)(b a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(b a))) 7. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 126553/12746091. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 126554/12746118. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 126555/12746172. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 126556/12746226. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 126557/12746316. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> ((a a)(((a a)(^z.z))(a a))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 126558/12746397. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 126559/12746505. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126560/12746532. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 126561/12746622. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a b)(^y.a))) REDUCED to normal form. ------ 126562/12746649. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(((a a) a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.(y y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 126563/12746703. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 126564/12746730. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.b))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.b))) REDUCED to normal form. ------ 126565/12746757. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 126566/12746811. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a)(^x1.x1)) a)) REDUCED to normal form. ------ 126567/12746847. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 126568/12746874. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 126569/12746928. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 126570/12746955. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a b)((^y.(y y))(^z.a))) 6. ==[ alpha ]==> ((a b)((^x.(x x))(^y.a))) 7. ==[ beta ]==> ((a b)((^y.a)(^y.a))) 8. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 9. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 126571/12746982. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(^y.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 126572/12747009. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 126573/12747108. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126574/12747153. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 126575/12747180. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a (a a))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 126576/12747432. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.a))) REDUCED to normal form. ------ 126577/12747459. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((b a)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((b a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 126578/12747486. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 126579/12747513. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a) a)) REDUCED to normal form. ------ 126580/12747747. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a b)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126581/12747756. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.b) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 126582/12747783. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a) c)) 3. ==[ beta ]==> ((b (^y.y))((^z.a) c)) 4. ==[ alpha ]==> ((b (^x.x))((^y.a) c)) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 126583/12747873. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c (^y.a))) 3. ==[ beta ]==> ((a (b a))(c (^y.a))) 4. ==[ alpha ]==> ((a (b a))(c (^x.a))) REDUCED to normal form. ------ 126584/12747900. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(b (^y.b))) REDUCED to normal form. ------ 126585/12747927. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(a (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a (^z.(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (^z.(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (^y.(a a)))) 7. ==[ beta ]==> ((a a)(a (^y.(a a)))) 8. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 126586/12747954. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.b)(a a))) 3. ==[ beta ]==> ((((a a) a)(a b)) b) REDUCED to normal form. ------ 126587/12747981. ------ 1. ==[ start ]==> (((a b)((a a) a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 126588/12748008. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 126589/12748035. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 126590/12748089. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 126591/12748116. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.y)(a b))) 3. ==[ beta ]==> ((b (a a))((^y.y)(a b))) 4. ==[ alpha ]==> ((b (a a))((^x.x)(a b))) 5. ==[ beta ]==> ((b (a a))(a b)) REDUCED to normal form. ------ 126592/12748143. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.b)(^y.y))) 3. ==[ beta ]==> ((a ((a a)(a a))) b) REDUCED to normal form. ------ 126593/12748314. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 126594/12748422. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1) a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126595/12748539. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 126596/12748566. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (a a))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (a a))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(^x1.a))) REDUCED to normal form. ------ 126597/12748647. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 126598/12748674. ------ 1. ==[ start ]==> (((a b)(^a.b))(((a a) a) a)) 2. ==[ alpha ]==> (((a b)(^x.b))(((a a) a) a)) REDUCED to normal form. ------ 126599/12748728. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a)) c)) REDUCED to normal form. ------ 126600/12748953. ------ 1. ==[ start ]==> (((a (a a))(b a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 126601/12749007. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 126602/12749034. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 126603/12749061. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 126604/12749088. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 126605/12749142. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 126606/12749169. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 8. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 126607/12749196. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 126608/12749223. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 126609/12749313. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2) a)(a (^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2) a)(a (^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126610/12749538. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y) a) b)) 3. ==[ beta ]==> ((b c)(((^y.y) a) b)) 4. ==[ alpha ]==> ((b c)(((^x.x) a) b)) 5. ==[ beta ]==> ((b c)(a b)) REDUCED to normal form. ------ 126611/12749565. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x)) c)) REDUCED to normal form. ------ 126612/12749610. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(a (a (a a)))) 3. ==[ beta ]==> ((b (^y.y))(a (a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))(a (a (a a)))) REDUCED to normal form. ------ 126613/12749637. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 5. ==[ beta ]==> (((^y.y) a)(a a)) 6. ==[ alpha ]==> (((^x.x) a)(a a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 126614/12749673. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 126615/12749691. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a)((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a) a)) REDUCED to normal form. ------ 126616/12749772. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(b c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 126617/12749781. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 126618/12749808. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z) a) a)) 3. ==[ beta ]==> (((a a)(^y.b))(((^z.z) a) a)) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a) a)) 5. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 126619/12749880. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126620/12749889. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 126621/12749916. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 126622/12750006. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 126623/12750033. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 126624/12750060. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 126625/12750087. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(b (^z.z))) REDUCED to normal form. ------ 126626/12750114. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 126627/12750141. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 126628/12750168. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 126629/12750195. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(a (^y.y))) 3. ==[ beta ]==> (((a a)(a b))(a (^y.y))) 4. ==[ alpha ]==> (((a a)(a b))(a (^x.x))) REDUCED to normal form. ------ 126630/12751926. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((a a)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 126631/12758940. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b)) c) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b)) c) 3. ==[ beta ]==> (((a a)(a b)) c) REDUCED to normal form. ------ 126632/12759288. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ eta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 126633/12759459. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 126634/12759570. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(y (^z.z)))) 5. ==[ beta ]==> ((^y.(y (^z.z)))(^y.(y (^z.z)))) 6. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(z (^x1.x1)))) 7. ==[ beta ]==> ((^z.(z (^x1.x1)))(^y.y)) 8. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.z)) 9. ==[ beta ]==> ((^z.z)(^y.y)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126635/12759783. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 126636/12760341. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> (((((a a)(a a))(^y.y))(((a a)(a a))(^y.y)))(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> (((((a a)(a a))(^x.x))(((a a)(a a))(^y.y)))(((a a)(a a))(^z.z))) REDUCED to normal form. ------ 126637/12760674. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 126638/12760677. ------ 1. ==[ start ]==> ((a (^a.b))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((a a)(a a)))) REDUCED to normal form. ------ 126639/12761028. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 126640/12761037. ------ 1. ==[ start ]==> (((a b) a)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 126641/12761448. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((b a)(^z.a))) 3. ==[ beta ]==> ((^y.y)(((b a)(^z.a))((b a)(^z.a)))) 4. ==[ alpha ]==> ((^x.x)(((b a)(^y.a))((b a)(^z.a)))) 5. ==[ beta ]==> (((b a)(^y.a))((b a)(^z.a))) 6. ==[ alpha ]==> (((b a)(^x.a))((b a)(^y.a))) REDUCED to normal form. ------ 126642/12761703. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(^y.y))(a b))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126643/12762333. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) b)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 126644/12763224. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(b a))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(b a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(b a))) REDUCED to normal form. ------ 126645/12763242. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 126646/12763428. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 126647/12764295. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126648/12764319. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126649/12764634. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.a) d)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a) d)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 126650/12764997. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 126651/12765609. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.b))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.b))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.b))) REDUCED to normal form. ------ 126652/12765633. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a b) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a b) a)) 3. ==[ beta ]==> ((((a b) a)((a b) a))(((a b) a)((a b) a))) REDUCED to normal form. ------ 126653/12765807. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 126654/12765996. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(^z.b))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.b))) REDUCED to normal form. ------ 126655/12766158. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 126656/12766329. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 126657/12766887. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 126658/12766995. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126659/12767103. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 126660/12767373. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126661/12767382. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 126662/12767499. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 126663/12767553. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^c.b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.b)) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.b)) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.b)) 5. ==[ beta ]==> ((a b)(^y.b)) 6. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 126664/12767607. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.z)) 3. ==[ beta ]==> (((^y.y)(b a))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.y)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 126665/12767661. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^c.a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.a)) 3. ==[ beta ]==> (((a b)(a a))(^y.a)) 4. ==[ alpha ]==> (((a b)(a a))(^x.a)) REDUCED to normal form. ------ 126666/12767688. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.a)) 3. ==[ beta ]==> (((a a)(a b))(^y.a)) 4. ==[ alpha ]==> (((a a)(a b))(^x.a)) REDUCED to normal form. ------ 126667/12767736. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(a b))) 3. ==[ beta ]==> (a (((^y.y)(a a))(a b))) 4. ==[ alpha ]==> (a (((^x.x)(a a))(a b))) 5. ==[ beta ]==> (a ((a a)(a b))) REDUCED to normal form. ------ 126668/12767763. ------ 1. ==[ start ]==> (((a a) a)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) a)((a b)((^x.x)(a a)))) 3. ==[ beta ]==> (((a a) a)((a b)(a a))) REDUCED to normal form. ------ 126669/12767790. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 126670/12767817. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(b a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(b a))) 5. ==[ beta ]==> (b ((^y.y)(b a))) 6. ==[ alpha ]==> (b ((^x.x)(b a))) 7. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 126671/12767844. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 126672/12767871. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)((^y.y) b))) 3. ==[ beta ]==> (((a a) b)(a ((^y.y) b))) 4. ==[ alpha ]==> (((a a) b)(a ((^x.x) b))) 5. ==[ beta ]==> (((a a) b)(a b)) REDUCED to normal form. ------ 126673/12767898. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 126674/12767925. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(b (^z.z)))) REDUCED to normal form. ------ 126675/12767988. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 126676/12768015. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.a))) REDUCED to normal form. ------ 126677/12768042. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 126678/12768051. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 126679/12768132. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(a b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(a b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(a b))) 5. ==[ beta ]==> (a ((^y.(a a))(a b))) 6. ==[ alpha ]==> (a ((^x.(a a))(a b))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 126680/12768159. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 126681/12768213. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 126682/12768231. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)((a (a a))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 126683/12768258. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 126684/12768321. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(b (^z.z)))) 5. ==[ beta ]==> (((^y.y)(b (^z.z)))((^y.y)(b (^z.z)))) 6. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z)(b (^x1.x1)))) 7. ==[ beta ]==> ((b (^y.y))((^z.z)(b (^x1.x1)))) 8. ==[ alpha ]==> ((b (^x.x))((^y.y)(b (^z.z)))) 9. ==[ beta ]==> ((b (^x.x))(b (^z.z))) 10. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 126685/12768402. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 126686/12768429. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 126687/12768510. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.b))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 126688/12768537. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 126689/12768672. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126690/12768762. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) b)(b (a (^y.y)))) 4. ==[ alpha ]==> (((a (a a)) b)(b (a (^x.x)))) REDUCED to normal form. ------ 126691/12768789. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (a ((a (^y.(^z.z)))((^x1.x1) a))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))((^z.z) a))) 7. ==[ beta ]==> (a ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 126692/12768816. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(a (a a)))) REDUCED to normal form. ------ 126693/12768843. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 126694/12768870. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> ((a (^x.a))((a a)((a a) a))) REDUCED to normal form. ------ 126695/12768897. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 126696/12768924. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 9. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 126697/12769095. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 126698/12769131. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 126699/12769266. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(a b))) 3. ==[ beta ]==> (((a a) a)((^y.b)(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(a b))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 126700/12769347. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))(b a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))(b a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(b a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(b a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(b a))) 7. ==[ beta ]==> ((a a)((^y.(y y))(b a))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(b a))) 9. ==[ beta ]==> ((a a)((b a)(b a))) REDUCED to normal form. ------ 126701/12769428. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.b))((a a)(a a))) REDUCED to normal form. ------ 126702/12769446. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a)(a a)) a)) REDUCED to normal form. ------ 126703/12769473. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) b) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b b)) REDUCED to normal form. ------ 126704/12769617. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((^y.b)((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((^x.b)((^y.b)(^z.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 126705/12769761. ------ 1. ==[ start ]==> ((((a a) a) b)(b ((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) b)(b ((^x.x) b))) 3. ==[ beta ]==> ((((a a) a) b)(b b)) REDUCED to normal form. ------ 126706/12769779. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 126707/12769788. ------ 1. ==[ start ]==> (((a b) a)(a ((a a)(a a)))) REDUCED to normal form. ------ 126708/12769815. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a a)(^x.b))(b (a a))) REDUCED to normal form. ------ 126709/12769869. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 126710/12769896. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 126711/12769923. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 126712/12769950. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)((a a) a))) REDUCED to normal form. ------ 126713/12769977. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(a b))) REDUCED to normal form. ------ 126714/12770148. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(b (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 126715/12770175. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 126716/12770202. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((b a)(^y.a))) 3. ==[ beta ]==> ((a (a a))((b a)(^y.a))) 4. ==[ alpha ]==> ((a (a a))((b a)(^x.a))) REDUCED to normal form. ------ 126717/12770238. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126718/12770292. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((a a) a))) 5. ==[ beta ]==> ((^y.y)((^y1.b)((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)((a a) a))) 7. ==[ beta ]==> ((^y.b)((a a) a)) 8. ==[ alpha ]==> ((^x.b)((a a) a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 126719/12770373. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (b (((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 126720/12770427. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 126721/12770454. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) b))) 5. ==[ beta ]==> ((^y.y)((^z.z) b)) 6. ==[ alpha ]==> ((^x.x)((^y.y) b)) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 126722/12770508. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 11. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 12. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 13. ==[ beta ]==> (^y.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 126723/12770589. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 126724/12770796. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.b) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a) a)((^y.y) a)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x) a)) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 126725/12770814. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 126726/12770823. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 126727/12771048. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c (^d.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 126728/12771057. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(b a))) REDUCED to normal form. ------ 126729/12771084. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) b)((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a) b)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 126730/12771129. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 126731/12771210. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 126732/12771291. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 126733/12771390. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 126734/12771417. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 126735/12771444. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((b a) b)) 3. ==[ beta ]==> ((a (a b))((b a) b)) REDUCED to normal form. ------ 126736/12771867. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)((a a) a)) REDUCED to normal form. ------ 126737/12771975. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)(b a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)(b a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(b a))) REDUCED to normal form. ------ 126738/12771993. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 126739/12772074. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (b ((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 126740/12772182. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a b)(a b))) REDUCED to normal form. ------ 126741/12772200. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(b a))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a)(b a))(a (^x.(a a)))) REDUCED to normal form. ------ 126742/12772281. ------ 1. ==[ start ]==> (((a (a a))(a b))((b a) a)) REDUCED to normal form. ------ 126743/12772308. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y)) b)) 5. ==[ beta ]==> (((a a) a)(((a a)(^y.y)) b)) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 126744/12772479. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 126745/12772758. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^z.z))(a a))) REDUCED to normal form. ------ 126746/12772776. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 126747/12772785. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)((a a)(^x1.x1)))) REDUCED to normal form. ------ 126748/12772857. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a))(a (^z.z)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(a a))(a (^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a (^y.y)))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 126749/12772938. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 126750/12773046. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126751/12773073. ------ 1. ==[ start ]==> ((a (^b.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 126752/12773091. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a a) b)) REDUCED to normal form. ------ 126753/12773118. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a b) c)) REDUCED to normal form. ------ 126754/12773352. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126755/12773361. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.b) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 126756/12773388. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.a) d)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a) d)) 3. ==[ beta ]==> ((a b)((^y.a) d)) 4. ==[ alpha ]==> ((a b)((^x.a) d)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 126757/12773559. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a))(a a))) 3. ==[ beta ]==> (b ((^z.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 126758/12773667. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(z1 z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(z1 z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126759/12773721. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a b))) 5. ==[ beta ]==> (b ((^y.(^z.z))(a b))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 126760/12773748. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.y1)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 126761/12773802. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 126762/12773883. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 126763/12773892. ------ 1. ==[ start ]==> (((a b)(^c.a))(d ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(d ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))(d (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))(d (^y.y))) REDUCED to normal form. ------ 126764/12773919. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c ((a a) a))) REDUCED to normal form. ------ 126765/12773946. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b (a b))) REDUCED to normal form. ------ 126766/12774000. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a b)(a a))) REDUCED to normal form. ------ 126767/12774027. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((b (^y.y))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 126768/12774198. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a b)(^x.x))) REDUCED to normal form. ------ 126769/12774225. ------ 1. ==[ start ]==> (((a b)((a a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 126770/12774252. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.a))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.a))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.a))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.a)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 126771/12774279. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 126772/12774360. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a a)(^y.b))) 3. ==[ beta ]==> ((b (a a))((a a)(^y.b))) 4. ==[ alpha ]==> ((b (a a))((a a)(^x.b))) REDUCED to normal form. ------ 126773/12774387. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a b) a)) REDUCED to normal form. ------ 126774/12774423. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 126775/12774558. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.b))) 3. ==[ beta ]==> (b ((^z.z)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 126776/12774702. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b)((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((b b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 126777/12774729. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a a)((a a) a))) REDUCED to normal form. ------ 126778/12774747. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(a (^y.b))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.b))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.b))) REDUCED to normal form. ------ 126779/12774774. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 126780/12774828. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((b a)(b a))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((b a)(b a))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((b a)(b a))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (((b a)(b a))(a ((^y.y) a))) 8. ==[ alpha ]==> (((b a)(b a))(a ((^x.x) a))) 9. ==[ beta ]==> (((b a)(b a))(a a)) REDUCED to normal form. ------ 126781/12774909. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.y)((a a) a))) 3. ==[ beta ]==> (b ((^y.y)((a a) a))) 4. ==[ alpha ]==> (b ((^x.x)((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 126782/12775017. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126783/12775026. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c (a (a a)))) REDUCED to normal form. ------ 126784/12775053. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(b (^x1.x1))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 126785/12775080. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 126786/12775116. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 126787/12775143. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(z z)) c)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(z z)) c)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y)) c)) 5. ==[ beta ]==> (((a (^x.x)) b)(c c)) REDUCED to normal form. ------ 126788/12775251. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 8. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 126789/12775278. ------ 1. ==[ start ]==> (((a b)(a b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 126790/12775305. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> (((a a)((a a) a))(a (^y.a))) 6. ==[ alpha ]==> (((a a)((a a) a))(a (^x.a))) REDUCED to normal form. ------ 126791/12775332. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 126792/12775386. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z) a)) 7. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 126793/12775413. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (a a)) b)) 3. ==[ beta ]==> ((b (a (^y.y)))((a (a a)) b)) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 126794/12775638. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 126795/12775746. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.y1)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126796/12775782. ------ 1. ==[ start ]==> ((((^a.a) b) c)(d (a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(d (a a))) 3. ==[ beta ]==> ((b c)(d (a a))) REDUCED to normal form. ------ 126797/12775809. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(c (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(c (a (^x.x)))) REDUCED to normal form. ------ 126798/12775854. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((b (^x.x))(^z.(z z))) 6. ==[ alpha ]==> ((b (^x.x))(^y.(y y))) REDUCED to normal form. ------ 126799/12775917. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 126800/12775935. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(b (^x1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(b (^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b (^y1.a))) REDUCED to normal form. ------ 126801/12775944. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 126802/12776016. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 126803/12776025. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(b c)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(b c)) REDUCED to normal form. ------ 126804/12776124. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126805/12776133. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a a)) REDUCED to normal form. ------ 126806/12776160. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (^z.z))(a a))) 3. ==[ beta ]==> ((b (^y.a))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((b (^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 126807/12776187. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 126808/12776250. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 126809/12776277. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 126810/12776304. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a a) b)) 3. ==[ beta ]==> ((a ((^y.y) b))((a a) b)) 4. ==[ alpha ]==> ((a ((^x.x) b))((a a) b)) 5. ==[ beta ]==> ((a b)((a a) b)) REDUCED to normal form. ------ 126811/12776331. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 126812/12776358. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.z) b)) 3. ==[ beta ]==> (((^y.y)(b a))((^z.z) b)) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.y) b)) 5. ==[ beta ]==> ((b a)((^y.y) b)) 6. ==[ alpha ]==> ((b a)((^x.x) b)) 7. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 126813/12776385. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 126814/12776412. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a a) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a a) a)) 3. ==[ beta ]==> (((a b)(a a))((a a) a)) REDUCED to normal form. ------ 126815/12776439. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.y) a)) 3. ==[ beta ]==> (((a a)(a b))((^y.y) a)) 4. ==[ alpha ]==> (((a a)(a b))((^x.x) a)) 5. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 126816/12776465. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (^x.(((x x)(^y.y))((x x) x))) REDUCED to normal form. ------ 126817/12776466. ------ 1. ==[ start ]==> (a (((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (a (((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 126818/12778179. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 126819/12785220. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a)) a) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a)) a) REDUCED to normal form. ------ 126820/12785226. ------ 1. ==[ start ]==> ((^a.a)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 126821/12785253. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> ((((^y.y)(a a))(a b))(((^y.y)(a a))(a b))) 4. ==[ alpha ]==> ((((^x.x)(a a))(a b))(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (((a a)(a b))(((^y.y)(a a))(a b))) 6. ==[ alpha ]==> (((a a)(a b))(((^x.x)(a a))(a b))) 7. ==[ beta ]==> (((a a)(a b))((a a)(a b))) REDUCED to normal form. ------ 126822/12785280. ------ 1. ==[ start ]==> ((^a.b)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((a b)((^y.y)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 126823/12785361. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a (^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 126824/12785478. ------ 1. ==[ start ]==> ((^a.(^b.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (^x.((b (^y.y))(^z.z))) REDUCED to normal form. ------ 126825/12786936. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(^z.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 126826/12786939. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 126827/12787299. ------ 1. ==[ start ]==> (((a b) a)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 126828/12787965. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 126829/12787974. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 126830/12788307. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.((^z.z) b))) 3. ==[ beta ]==> ((((a a) a) a)(^y.((^z.z) b))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.((^y.y) b))) 5. ==[ beta ]==> ((((a a) a) a)(^x.b)) REDUCED to normal form. ------ 126831/12788385. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((((a a)(^z.z))((^x1.x1) a))(((a a)(^z.z))((^x1.x1) a)))(^y.y)) 4. ==[ alpha ]==> (((((a a)(^x.x))((^y.y) a))(((a a)(^z.z))((^x1.x1) a)))(^y1.y1)) 5. ==[ beta ]==> (((((a a)(^x.x)) a)(((a a)(^z.z))((^x1.x1) a)))(^y1.y1)) 6. ==[ alpha ]==> (((((a a)(^x.x)) a)(((a a)(^y.y))((^z.z) a)))(^x1.x1)) 7. ==[ beta ]==> (((((a a)(^x.x)) a)(((a a)(^y.y)) a))(^x1.x1)) 8. ==[ alpha ]==> (((((a a)(^x.x)) a)(((a a)(^y.y)) a))(^z.z)) REDUCED to normal form. ------ 126832/12788622. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 126833/12789513. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 126834/12789690. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))(^y1.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 126835/12790566. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.((a a)(^y1.y1)))) REDUCED to normal form. ------ 126836/12790581. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126837/12790818. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 126838/12790896. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 126839/12791268. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(a a))) REDUCED to normal form. ------ 126840/12792420. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 126841/12792429. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.((a a) a))) REDUCED to normal form. ------ 126842/12792591. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 126843/12792975. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(c ((^z.z) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 126844/12793365. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.d)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.d)) 3. ==[ beta ]==> ((b (^y.y))(^z.d)) 4. ==[ alpha ]==> ((b (^x.x))(^y.d)) REDUCED to normal form. ------ 126845/12793563. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.b))(^y.a)) REDUCED to normal form. ------ 126846/12793644. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 126847/12793842. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 126848/12793869. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(a a))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(a a))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(a a))) 5. ==[ beta ]==> ((b a)(^y.(a a))) 6. ==[ alpha ]==> ((b a)(^x.(a a))) REDUCED to normal form. ------ 126849/12793923. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^a.b)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.b)) 3. ==[ beta ]==> (((a b)(a a))(^y.b)) 4. ==[ alpha ]==> (((a b)(a a))(^x.b)) REDUCED to normal form. ------ 126850/12793950. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(y y))) 3. ==[ beta ]==> (((a a)(a b))(^y.(y y))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(x x))) REDUCED to normal form. ------ 126851/12793977. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 126852/12793989. ------ 1. ==[ start ]==> ((a a)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a a)(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 126853/12794016. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(a b))) 3. ==[ beta ]==> ((a (a a))((a a)(a b))) REDUCED to normal form. ------ 126854/12794043. ------ 1. ==[ start ]==> ((a b)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)((a b)((^x.x)(a a)))) 3. ==[ beta ]==> ((a b)((a b)(a a))) REDUCED to normal form. ------ 126855/12794097. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(b a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(b a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(b a))) 5. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 126856/12794124. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 126857/12794241. ------ 1. ==[ start ]==> ((a (^b.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 126858/12794277. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 126859/12794322. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 126860/12794349. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 126861/12794403. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (a (((^y.y)(a a))(^z.b))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(^y.b))) 7. ==[ beta ]==> (a ((a a)(^y.b))) 8. ==[ alpha ]==> (a ((a a)(^x.b))) REDUCED to normal form. ------ 126862/12794412. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(a b))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 126863/12794430. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 126864/12794439. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 126865/12794574. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 126866/12794619. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((b (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 5. ==[ beta ]==> ((b (^y.y)) a) 6. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 126867/12794655. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 126868/12794673. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) b) c)) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b) c)) 5. ==[ beta ]==> ((^y.y)(((^z.z) b) c)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 7. ==[ beta ]==> (((^y.y) b) c) 8. ==[ alpha ]==> (((^x.x) b) c) 9. ==[ beta ]==> (b c) REDUCED to normal form. ------ 126869/12794682. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.a)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.a)) REDUCED to normal form. ------ 126870/12794709. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 126871/12794790. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 126872/12794898. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((b b)((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((b b)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((b b)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((b b)(^y.(^z.z))) 8. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 126873/12795231. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 126874/12795258. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (a a))(b a))) REDUCED to normal form. ------ 126875/12795285. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a a)(a (a (^y.(^z.z))))) 8. ==[ alpha ]==> ((a a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 126876/12795312. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 126877/12795339. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 126878/12795402. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) b)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 126879/12795456. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((b a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((b a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((b a)(^z.(z z)))) 5. ==[ beta ]==> (a ((b a)(^z.(z z)))) 6. ==[ alpha ]==> (a ((b a)(^x.(x x)))) REDUCED to normal form. ------ 126880/12795492. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 126881/12795519. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 126882/12795537. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a b)(^y.b))) 3. ==[ beta ]==> (((a a) a)((a b)(^y.b))) 4. ==[ alpha ]==> (((a a) a)((a b)(^x.b))) REDUCED to normal form. ------ 126883/12795564. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 126884/12795573. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 126885/12795600. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 126886/12795627. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((b a)(b a))) REDUCED to normal form. ------ 126887/12795654. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126888/12795681. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 126889/12795699. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(a a)))) REDUCED to normal form. ------ 126890/12795870. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a))(^z.a))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 126891/12796032. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 126892/12796059. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a b) a)(^y.(a a))) 4. ==[ alpha ]==> (((a b) a)(^x.(a a))) REDUCED to normal form. ------ 126893/12796077. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a)) a)) 3. ==[ beta ]==> ((a b)((^y.(a a)) a)) 4. ==[ alpha ]==> ((a b)((^x.(a a)) a)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 126894/12796104. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z) b)) 3. ==[ beta ]==> ((^y.y)((^z.z) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 126895/12796284. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a b))((^y.y)(a a))) 6. ==[ alpha ]==> (((a a)(a b))((^x.x)(a a))) 7. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 126896/12796311. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 126897/12796338. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(b a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(b a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(b a))) 7. ==[ beta ]==> ((a (^x.x))(a (b a))) REDUCED to normal form. ------ 126898/12796365. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 126899/12796392. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)((^z.z) b))) 5. ==[ beta ]==> (((^y.y) a)((a a)((^z.z) b))) 6. ==[ alpha ]==> (((^x.x) a)((a a)((^y.y) b))) 7. ==[ beta ]==> (a ((a a)((^y.y) b))) 8. ==[ alpha ]==> (a ((a a)((^x.x) b))) 9. ==[ beta ]==> (a ((a a) b)) REDUCED to normal form. ------ 126900/12796437. ------ 1. ==[ start ]==> (((^a.b) b)((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(a a))) 3. ==[ beta ]==> (b ((^y.y)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 126901/12796482. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((b a)(^z.a))) 3. ==[ beta ]==> ((^y.(a a))((b a)(^z.a))) 4. ==[ alpha ]==> ((^x.(a a))((b a)(^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 126902/12796509. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 126903/12796563. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.a))) 5. ==[ beta ]==> ((^y.y)((a b)(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 7. ==[ beta ]==> ((a b)(^y.a)) 8. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 126904/12796644. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 126905/12796653. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (((a b) b)(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a b) b)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 126906/12796680. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)(b a))) 3. ==[ beta ]==> (((a a) a)((^y.a)(b a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(b a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 126907/12796698. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 126908/12796707. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 126909/12796725. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 126910/12796734. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 126911/12796779. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1))) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.(^z1.z1))) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1))) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1))) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1))) b)) 9. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) b)) 10. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 11. ==[ beta ]==> ((a (^y.(^z.z))) b) 12. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 126912/12796788. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 126913/12796842. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 126914/12796869. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 126915/12796896. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 126916/12797040. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b (a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(b (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a (a a))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 126917/12797067. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a ((^y.y) b))) 3. ==[ beta ]==> ((((a a) a) a)(a ((^y.y) b))) 4. ==[ alpha ]==> ((((a a) a) a)(a ((^x.x) b))) 5. ==[ beta ]==> ((((a a) a) a)(a b)) REDUCED to normal form. ------ 126918/12797094. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 126919/12797121. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((b a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))((b a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 126920/12797148. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 126921/12797328. ------ 1. ==[ start ]==> (((a b) c)(c (^d.a))) 2. ==[ alpha ]==> (((a b) c)(c (^x.a))) REDUCED to normal form. ------ 126922/12797355. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) b)(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) b)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 126923/12797382. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a (^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 126924/12797400. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 126925/12797427. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 126926/12797463. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 126927/12797481. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 126928/12797517. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126929/12797562. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (b ((^y.y)(^z.b))) 6. ==[ alpha ]==> (b ((^x.x)(^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 126930/12797571. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 126931/12797598. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(a a)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)((^x1.x1)(a a)))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z)(a a)))) 9. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 126932/12797625. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 126933/12797994. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) a)) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 126934/12798273. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 126935/12798327. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 126936/12798345. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (b ((a a)(^y.a))) 6. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 126937/12798354. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 126938/12798381. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 126939/12798453. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(^x1.b))) REDUCED to normal form. ------ 126940/12798732. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126941/12799056. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 126942/12799128. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))((a a)(^y.(^z.z)))) 10. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 126943/12799137. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 126944/12799164. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.b)((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.b)((^y.b)((^z.z) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 126945/12799209. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 126946/12799218. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 126947/12799245. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 126948/12799272. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 126949/12799326. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^x1.x1))) REDUCED to normal form. ------ 126950/12799344. ------ 1. ==[ start ]==> ((a (^b.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 126951/12799524. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c (a b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c (a b))) 3. ==[ beta ]==> (((a b)(^y.y))(c (a b))) 4. ==[ alpha ]==> (((a b)(^x.x))(c (a b))) REDUCED to normal form. ------ 126952/12799551. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(b ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))(b (a a))) REDUCED to normal form. ------ 126953/12799578. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((a a)(^y.y)))) REDUCED to normal form. ------ 126954/12799632. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a b)(a (^z.z)))) REDUCED to normal form. ------ 126955/12799659. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((a b)(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> ((a b)(((a a) a)((^x.x) a))) 5. ==[ beta ]==> ((a b)(((a a) a) a)) REDUCED to normal form. ------ 126956/12799668. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.a) d)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) d)) 3. ==[ beta ]==> ((^y.y)((^z.a) d)) 4. ==[ alpha ]==> ((^x.x)((^y.a) d)) 5. ==[ beta ]==> ((^y.a) d) 6. ==[ alpha ]==> ((^x.a) d) 7. ==[ beta ]==> a REDUCED to normal form. ------ 126957/12799830. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 126958/12799938. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126959/12799947. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 10. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 126960/12799974. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)((a a) a))) 3. ==[ beta ]==> ((b a)((^y.a)((a a) a))) 4. ==[ alpha ]==> ((b a)((^x.a)((a a) a))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 126961/12799992. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.b))) 5. ==[ beta ]==> (b ((a (^y.y))(^z.b))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 126962/12800001. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 126963/12800019. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 126964/12800028. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 126965/12800073. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a b) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a b) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a b) b)) REDUCED to normal form. ------ 126966/12800109. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 126967/12800136. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 126968/12800163. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 126969/12800190. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 126970/12800217. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 126971/12800262. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126972/12800334. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a) b)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((a a) b)((^y.y) a)) 8. ==[ alpha ]==> (((a a) b)((^x.x) a)) 9. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 126973/12800361. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 126974/12800388. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (b a))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (b a))(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a (b a))(a (^y.y))) 8. ==[ alpha ]==> ((a (b a))(a (^x.x))) REDUCED to normal form. ------ 126975/12800415. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 126976/12800442. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a a)(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a a)(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(a b))) 5. ==[ beta ]==> (((^y.y)(a a))((a a)(a b))) 6. ==[ alpha ]==> (((^x.x)(a a))((a a)(a b))) 7. ==[ beta ]==> ((a a)((a a)(a b))) REDUCED to normal form. ------ 126977/12800694. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 126978/12800973. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(c (^y.(^z.z)))) 3. ==[ beta ]==> ((b b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 126979/12801000. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(b (^x.a))) REDUCED to normal form. ------ 126980/12801045. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 126981/12801054. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^c.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 126982/12801081. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 126983/12801099. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (a a))(^y.a))) 3. ==[ beta ]==> (((b a)(b a))((a (a a))(^y.a))) 4. ==[ alpha ]==> (((b a)(b a))((a (a a))(^x.a))) REDUCED to normal form. ------ 126984/12801162. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 126985/12801180. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 126986/12801189. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.b))((a a) a)) REDUCED to normal form. ------ 126987/12801243. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 126988/12801297. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 126989/12801324. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 126990/12801387. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((^y.y)(a a))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(a a))) 5. ==[ beta ]==> (((a a)((a a)(a a)))(a a)) REDUCED to normal form. ------ 126991/12801414. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 126992/12801441. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a ((^x1.x1) a))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a ((^z.z) a))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 126993/12801468. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 126994/12801495. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 126995/12801738. ------ 1. ==[ start ]==> ((a (b (^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(c ((^y.y) a))) 3. ==[ beta ]==> ((a (b (^x.x)))(c a)) REDUCED to normal form. ------ 126996/12801828. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(y1 y1)) b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(x2 x2)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(x2 x2)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126997/12802017. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 126998/12802053. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((b c)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((b c)((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((b c)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((b c)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b c)(^y.y)) 8. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 126999/12802080. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 127000/12802152. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(z z)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 127001/12802188. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 127002/12802215. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b (^x1.a))) REDUCED to normal form. ------ 127003/12802287. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 127004/12802296. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 127005/12802323. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.b))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.b))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 127006/12802404. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.a)) REDUCED to normal form. ------ 127007/12802431. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(c (^z.z))) 3. ==[ beta ]==> ((b (^y.a))(c (^z.z))) 4. ==[ alpha ]==> ((b (^x.a))(c (^y.y))) REDUCED to normal form. ------ 127008/12802458. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 127009/12802521. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(b b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(b b)) REDUCED to normal form. ------ 127010/12802575. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(b (a a))) 3. ==[ beta ]==> ((a ((^y.y) b))(b (a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(b (a a))) 5. ==[ beta ]==> ((a b)(b (a a))) REDUCED to normal form. ------ 127011/12802602. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a (a (^z.z)))) REDUCED to normal form. ------ 127012/12802629. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a a)(a a))) 3. ==[ beta ]==> (((^y.y)(b a))((a a)(a a))) 4. ==[ alpha ]==> (((^x.x)(b a))((a a)(a a))) 5. ==[ beta ]==> ((b a)((a a)(a a))) REDUCED to normal form. ------ 127013/12802656. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(b a)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(b a)) REDUCED to normal form. ------ 127014/12802683. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(a b)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(a b)) 3. ==[ beta ]==> (((a b)(a a))(a b)) REDUCED to normal form. ------ 127015/12802710. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(a (a a))) 3. ==[ beta ]==> (((a a)(a b))(a (a a))) REDUCED to normal form. ------ 127016/12802737. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(a a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 127017/12809418. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(a y))) 3. ==[ eta ]==> ((^x.((x x)(x x))) a) 4. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 127018/12811500. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a)) b) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a)) b) REDUCED to normal form. ------ 127019/12811524. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127020/12811605. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 127021/12811839. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)((^x1.x1) a))) 3. ==[ eta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 127022/12812109. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))((a a)(a a)))(((^y.(^z.z))((a a)(a a)))((^y.(^z.z))((a a)(a a))))) 4. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.(^x1.x1))((a a)(a a)))((^y1.(^z1.z1))((a a)(a a))))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))((a a)(a a)))((^y1.(^z1.z1))((a a)(a a))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((a a)(a a)))((^x1.(^y1.y1))((a a)(a a))))) 7. ==[ beta ]==> (((^y.(^z.z))((a a)(a a)))((^x1.(^y1.y1))((a a)(a a)))) 8. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))((a a)(a a)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 11. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 12. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127023/12812460. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127024/12813246. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.((a a)(a a)))) REDUCED to normal form. ------ 127025/12813405. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^z.a)) b) 4. ==[ alpha ]==> (((^x.(a a))(^y.a)) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 127026/12813606. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.((y y)(y y)))) 3. ==[ beta ]==> ((a b)(^y.((y y)(y y)))) 4. ==[ alpha ]==> ((a b)(^x.((x x)(x x)))) REDUCED to normal form. ------ 127027/12813792. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)(a b))) 3. ==[ beta ]==> (^y.((((a a) a)(a b))(((a a) a)(a b)))) 4. ==[ alpha ]==> (^x.((((a a) a)(a b))(((a a) a)(a b)))) REDUCED to normal form. ------ 127028/12813999. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.(^y1.y1)))(a (^z1.z1)))((^z.(^x1.(^y1.y1)))(a (^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.(^x1.x1)))(a (^y1.y1)))((^z1.(^x2.(^y2.y2)))(a (^z2.z2))))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a (^y1.y1)))((^z1.(^x2.(^y2.y2)))(a (^z2.z2)))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 7. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127029/12814263. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 127030/12814596. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 127031/12815217. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 127032/12815430. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))(^z.(a a)))) 3. ==[ eta ]==> (b ((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (b ((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 127033/12815523. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(z (^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^z.(z (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 127034/12815793. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(b a))) 3. ==[ beta ]==> (((a b)(a b))(^y.(b a))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(b a))) REDUCED to normal form. ------ 127035/12816081. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(b a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(x a))) REDUCED to normal form. ------ 127036/12816267. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((^x1.(x1 x1))(^y1.b))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.x1))) 7. ==[ beta ]==> (b (^z.(^x1.x1))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 127037/12816360. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(b z))) 3. ==[ eta ]==> (((^x.(x x))(^y.(a a))) b) 4. ==[ beta ]==> (((^y.(a a))(^y.(a a))) b) 5. ==[ alpha ]==> (((^x.(a a))(^y.(a a))) b) 6. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 127038/12816603. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 127039/12817107. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 127040/12817791. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.((^z1.z1)(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1)(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127041/12817998. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.(x x)))) REDUCED to normal form. ------ 127042/12818184. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.y)(a b))) 3. ==[ beta ]==> ((((^y.y)(a b))((^y.y)(a b)))(((^y.y)(a b))((^y.y)(a b)))) 4. ==[ alpha ]==> ((((^x.x)(a b))((^y.y)(a b)))(((^z.z)(a b))((^x1.x1)(a b)))) 5. ==[ beta ]==> (((a b)((^y.y)(a b)))(((^z.z)(a b))((^x1.x1)(a b)))) 6. ==[ alpha ]==> (((a b)((^x.x)(a b)))(((^y.y)(a b))((^z.z)(a b)))) 7. ==[ beta ]==> (((a b)(a b))(((^y.y)(a b))((^z.z)(a b)))) 8. ==[ alpha ]==> (((a b)(a b))(((^x.x)(a b))((^y.y)(a b)))) 9. ==[ beta ]==> (((a b)(a b))((a b)((^y.y)(a b)))) 10. ==[ alpha ]==> (((a b)(a b))((a b)((^x.x)(a b)))) 11. ==[ beta ]==> (((a b)(a b))((a b)(a b))) REDUCED to normal form. ------ 127043/12818187. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(a x))) 3. ==[ eta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 127044/12818718. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 127045/12819186. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^z.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 127046/12819264. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127047/12819438. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 127048/12819681. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(z (z z)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 127049/12819852. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 127050/12820077. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 127051/12820131. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 127052/12820185. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 127053/12820212. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(a a))) 3. ==[ beta ]==> (((a b)(a a))(^y.(a a))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(a a))) REDUCED to normal form. ------ 127054/12820239. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.z))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 127055/12820266. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 127056/12820296. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 127057/12820323. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (((^y.y)(a a))(a b)) 6. ==[ alpha ]==> (((^x.x)(a a))(a b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 127058/12820350. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)((a b)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)((a b)((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 127059/12820377. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((a a)(^z.z)))) REDUCED to normal form. ------ 127060/12820431. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127061/12820458. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 127062/12820485. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 127063/12820512. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a a)(b (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)(b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 127064/12820575. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 127065/12820611. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 127066/12820656. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 127067/12820710. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.b))) REDUCED to normal form. ------ 127068/12820737. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.(a a)))) REDUCED to normal form. ------ 127069/12820800. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 127070/12820827. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^x1.(^y1.y1)))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1)))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 127071/12820854. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((a (a a))((^y.a)((^z.z) b))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y) b))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 127072/12820881. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 127073/12820953. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(a a)) b)) 3. ==[ beta ]==> ((a b)(((a a)(a a)) b)) REDUCED to normal form. ------ 127074/12820980. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) b) c)) 3. ==[ beta ]==> (((a (a a)) a)(b c)) REDUCED to normal form. ------ 127075/12821124. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 127076/12821205. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 127077/12821232. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 127078/12821241. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c ((^x1.x1) b))) 3. ==[ beta ]==> ((^y.(^z.z))(c ((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127079/12821268. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 127080/12821322. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a))(a a))) 5. ==[ beta ]==> ((^y.y)(((a a)(a a))(a a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 7. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 127081/12821331. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(a a)) b)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a)) b)) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 127082/12821358. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z) c)) 3. ==[ beta ]==> (((^y.y) a)((^z.z) c)) 4. ==[ alpha ]==> (((^x.x) a)((^y.y) c)) 5. ==[ beta ]==> (a ((^y.y) c)) 6. ==[ alpha ]==> (a ((^x.x) c)) 7. ==[ beta ]==> (a c) REDUCED to normal form. ------ 127083/12821376. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 7. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 9. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 127084/12821403. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((b a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (a a)))) 5. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 127085/12821457. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 127086/12821637. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(a a)))) 5. ==[ beta ]==> ((a a)(b (^y.(a a)))) 6. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 127087/12821790. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 127088/12821871. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.(a a)))) REDUCED to normal form. ------ 127089/12821952. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127090/12821979. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 127091/12822015. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x)((a a)(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 127092/12822069. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 127093/12822096. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 127094/12822177. ------ 1. ==[ start ]==> ((a (a b))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (a b))((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 127095/12822348. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b ((^z.z) b))) 3. ==[ beta ]==> (b (b ((^z.z) b))) 4. ==[ alpha ]==> (b (b ((^x.x) b))) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 127096/12822375. ------ 1. ==[ start ]==> (((^a.a)(a b))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a b)(a ((a a)(a a)))) REDUCED to normal form. ------ 127097/12822384. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 127098/12822402. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a a))) 5. ==[ beta ]==> (((^y.y) b)(a a)) 6. ==[ alpha ]==> (((^x.x) b)(a a)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 127099/12822438. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1))) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1))) c)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 127100/12822456. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((b a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((b a)((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((b a) a)) REDUCED to normal form. ------ 127101/12822537. ------ 1. ==[ start ]==> (((^a.b)(a a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a b)((a a) a))) 3. ==[ beta ]==> (b ((a b)((a a) a))) REDUCED to normal form. ------ 127102/12822564. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(a b))) REDUCED to normal form. ------ 127103/12822690. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.z))) 5. ==[ beta ]==> (((^y.y) a)(b (^z.z))) 6. ==[ alpha ]==> (((^x.x) a)(b (^y.y))) 7. ==[ beta ]==> (a (b (^y.y))) 8. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 127104/12822735. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (b (((^y.y) b)(^z.z))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.y))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 127105/12822744. ------ 1. ==[ start ]==> (((a b)(a a))((^b.b)(a a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(a a))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 127106/12822771. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 127107/12822951. ------ 1. ==[ start ]==> (((a b) b)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 127108/12823005. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 127109/12823032. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.z))) REDUCED to normal form. ------ 127110/12823086. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 127111/12823113. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((b a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((b a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a) c)) 5. ==[ beta ]==> ((^y.(y y))((b a) c)) 6. ==[ alpha ]==> ((^x.(x x))((b a) c)) 7. ==[ beta ]==> (((b a) c)((b a) c)) REDUCED to normal form. ------ 127112/12823257. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 127113/12823338. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 127114/12823365. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 127115/12823383. ------ 1. ==[ start ]==> (((^a.b) c)((^b.b) a)) 2. ==[ alpha ]==> (((^x.b) c)((^y.y) a)) 3. ==[ beta ]==> (b ((^y.y) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 127116/12823482. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 127117/12823617. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (b (a ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 127118/12823734. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 127119/12823761. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 127120/12823815. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127121/12823869. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.b)) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.b)) REDUCED to normal form. ------ 127122/12823896. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 127123/12823959. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 127124/12823986. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 127125/12824013. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 127126/12824094. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 127127/12824121. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 127128/12824175. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 127129/12824202. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> ((a (b a))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a (b a))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 127130/12824292. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 127131/12824373. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (b (((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (b ((a a)((^y.y) a))) 6. ==[ alpha ]==> (b ((a a)((^x.x) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 127132/12824481. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (a a))(a b))) 3. ==[ beta ]==> ((b a)((a (a a))(a b))) REDUCED to normal form. ------ 127133/12824508. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 127134/12824562. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(b a))) 3. ==[ beta ]==> (((a b)(a b))((a a)(b a))) REDUCED to normal form. ------ 127135/12824625. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 127136/12824652. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 127137/12824679. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.a))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a b)(^y.(y y)))) REDUCED to normal form. ------ 127138/12824706. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 127139/12824769. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))(a b))) 3. ==[ beta ]==> (((a a)(b a))((a b)(a b))) REDUCED to normal form. ------ 127140/12824796. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 127141/12824823. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 127142/12824850. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(b a))) 3. ==[ beta ]==> (((a (a a))(a b))(b a)) REDUCED to normal form. ------ 127143/12824931. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 127144/12824958. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)((^y.b)(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(y y)))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 127145/12825039. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 127146/12825129. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (b a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (b a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (b a))) 5. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 127147/12825210. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (b ((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a b)((^x.x) a))) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 127148/12825318. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1) a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127149/12825345. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 127150/12825372. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 127151/12825435. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 127152/12825462. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(^z.a))) 5. ==[ beta ]==> ((^y.b)((a b)(^z.a))) 6. ==[ alpha ]==> ((^x.b)((a b)(^y.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 127153/12825516. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 127154/12825570. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.b))) REDUCED to normal form. ------ 127155/12825687. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 127156/12825714. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 127157/12825768. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 127158/12825822. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.b))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 127159/12825849. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 127160/12825921. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127161/12825966. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 127162/12825993. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1)(^x2.x2))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(^x2.x2))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 127163/12826245. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 127164/12826272. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((b a)(a (^y.a))) 6. ==[ alpha ]==> ((b a)(a (^x.a))) REDUCED to normal form. ------ 127165/12826299. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 127166/12826326. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(^y1.(a a)))) REDUCED to normal form. ------ 127167/12826407. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((a a) a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((a a) a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a) c)) 5. ==[ beta ]==> ((^y.(a a))(((a a) a) c)) 6. ==[ alpha ]==> ((^x.(a a))(((a a) a) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 127168/12826560. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(a ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127169/12826569. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(a a)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 127170/12826596. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.b) b)) 3. ==[ beta ]==> ((b (^y.y))((^z.b) b)) 4. ==[ alpha ]==> ((b (^x.x))((^y.b) b)) 5. ==[ beta ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 127171/12826740. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(b (^x1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b (^x1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(b (^z.b))) 6. ==[ alpha ]==> (((^x.x)(a a))(b (^y.b))) 7. ==[ beta ]==> ((a a)(b (^y.b))) 8. ==[ alpha ]==> ((a a)(b (^x.b))) REDUCED to normal form. ------ 127172/12826767. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.(a a)))) REDUCED to normal form. ------ 127173/12826794. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.b)(a a))) 3. ==[ beta ]==> (((a b)((a a) a)) b) REDUCED to normal form. ------ 127174/12826848. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 127175/12826902. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 127176/12826929. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 127177/12826956. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(a b))) 3. ==[ beta ]==> ((a ((a a)(a a)))(a b)) REDUCED to normal form. ------ 127178/12827127. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b ((a a) a))) 3. ==[ beta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 127179/12827235. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127180/12827316. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a a)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((a a)((a a) a))) REDUCED to normal form. ------ 127181/12827352. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.z))) REDUCED to normal form. ------ 127182/12827379. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(^z1.z1))) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 127183/12827460. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 127184/12827487. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 127185/12827541. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 127186/12827766. ------ 1. ==[ start ]==> (((a (a a))(b a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(c (^x.(x x)))) REDUCED to normal form. ------ 127187/12827793. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 127188/12827847. ------ 1. ==[ start ]==> (((a b)(a b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 127189/12827874. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a a)((a a) a))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 127190/12827901. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 127191/12827955. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 127192/12827982. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 127193/12828009. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 127194/12828036. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 127195/12828126. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (a a))(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (a a))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127196/12828207. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 127197/12828351. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (a a)) a)) 3. ==[ beta ]==> ((b c)((a (a a)) a)) REDUCED to normal form. ------ 127198/12828378. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x) a) b)) 3. ==[ beta ]==> ((((a a)(a a)) b)(a b)) REDUCED to normal form. ------ 127199/12828423. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> ((b (^y.y))(b ((^z.z) a))) 4. ==[ alpha ]==> ((b (^x.x))(b ((^y.y) a))) 5. ==[ beta ]==> ((b (^x.x))(b a)) REDUCED to normal form. ------ 127200/12828450. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(a (a (a a)))) 3. ==[ beta ]==> ((^y.y)(a (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 127201/12828486. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.a) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.a) b)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 127202/12828504. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.y1))(a (^z1.z1)))) REDUCED to normal form. ------ 127203/12828585. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(c b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 127204/12828594. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 127205/12828621. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.b))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 127206/12828693. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127207/12828729. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.a) a)) 3. ==[ beta ]==> ((b (^y.a))((^z.a) a)) 4. ==[ alpha ]==> ((b (^x.a))((^y.a) a)) 5. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 127208/12828756. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 127209/12828819. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 127210/12828846. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a (^y.y))) REDUCED to normal form. ------ 127211/12828873. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 127212/12828900. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 127213/12828927. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(b (^z.z))) 3. ==[ beta ]==> (((^y.y)(b a))(b (^z.z))) 4. ==[ alpha ]==> (((^x.x)(b a))(b (^y.y))) 5. ==[ beta ]==> ((b a)(b (^y.y))) 6. ==[ alpha ]==> ((b a)(b (^x.x))) REDUCED to normal form. ------ 127214/12828954. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 127215/12828981. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.y)(a a))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(a a))) 5. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 127216/12829008. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 127217/12829035. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a (^y.y))) REDUCED to normal form. ------ 127218/12834411. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127219/12838155. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) b)(^x1.a))) 3. ==[ eta ]==> ((^y.y)(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((^y.y) b)(^z.a)) 6. ==[ alpha ]==> (((^x.x) b)(^y.a)) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 127220/12838464. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 127221/12838650. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 127222/12839541. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 127223/12839922. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 127224/12839931. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((y y)(y y)))) REDUCED to normal form. ------ 127225/12840315. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a (^z.(^x1.x1)))(^y1.(^z1.z1)))((a (^z.(^x1.x1)))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.(^x2.x2)))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.(^x2.x2)))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) REDUCED to normal form. ------ 127226/12840930. ------ 1. ==[ start ]==> (((^a.b) c)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.((^z.z) b))) 3. ==[ beta ]==> (b (^y.((^z.z) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 127227/12841245. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 127228/12841839. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (b (^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 127229/12842118. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(b a))) REDUCED to normal form. ------ 127230/12842295. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 127231/12842397. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(^d.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.a))) REDUCED to normal form. ------ 127232/12843186. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127233/12843189. ------ 1. ==[ start ]==> ((a (^b.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 127234/12843501. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.b) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.b) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 127235/12843675. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 127236/12844107. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127237/12844116. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.((^z1.z1)(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(y1 y1))) REDUCED to normal form. ------ 127238/12844500. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a)(^y.b))) 3. ==[ beta ]==> ((((a a)(^y.b))((a a)(^y.b)))(((a a)(^y.b))((a a)(^y.b)))) 4. ==[ alpha ]==> ((((a a)(^x.b))((a a)(^y.b)))(((a a)(^z.b))((a a)(^x1.b)))) REDUCED to normal form. ------ 127239/12844890. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 127240/12845580. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z) a) c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127241/12845997. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 127242/12846276. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) b)(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.z)) 5. ==[ beta ]==> ((b (^y.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 127243/12846501. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 127244/12846528. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.z))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 127245/12846555. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^c.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.a)) 3. ==[ beta ]==> (((a a)(a b))(^y.a)) 4. ==[ alpha ]==> (((a a)(a b))(^x.a)) REDUCED to normal form. ------ 127246/12846582. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^b.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.a)) REDUCED to normal form. ------ 127247/12846630. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> (a (((a a)(^y.y))((a a) a))) 4. ==[ alpha ]==> (a (((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 127248/12846657. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(a b))) 3. ==[ beta ]==> (((a a) a)((a a)(a b))) REDUCED to normal form. ------ 127249/12846684. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((a b)(a a))) REDUCED to normal form. ------ 127250/12846711. ------ 1. ==[ start ]==> (((^a.a) b)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> (b (((a a) a)((a a)(^y.y)))) 4. ==[ alpha ]==> (b (((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 127251/12846738. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 127252/12846765. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 127253/12846792. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) a)(a ((^z.z) b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.y) b))) 5. ==[ beta ]==> (((a (^x.x)) a)(a b)) REDUCED to normal form. ------ 127254/12846819. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((a a)(a a)))) REDUCED to normal form. ------ 127255/12846846. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(b (^z.z)))) REDUCED to normal form. ------ 127256/12846882. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 127257/12846909. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 127258/12846936. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(^z.a))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.a))) 5. ==[ beta ]==> ((a a)(b (^y.a))) 6. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 127259/12846945. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.a)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.a)((^y.y)((^z.z) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 127260/12846972. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 127261/12847053. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(a a))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 127262/12847152. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 127263/12847179. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 127264/12847215. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> (((^y.(^z.z))((a a)(a a)))((^y.(^z.z))((a a)(a a)))) 6. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))((a a)(a a)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 9. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 10. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127265/12847242. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b (^z.z)))) 5. ==[ beta ]==> ((^y.y)(b (^z.z))) 6. ==[ alpha ]==> ((^x.x)(b (^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127266/12847323. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 127267/12847350. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 127268/12847431. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 127269/12847566. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127270/12847656. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(a a))(a a))) REDUCED to normal form. ------ 127271/12847683. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (a (((^y.y) b)(a (^z.z)))) 6. ==[ alpha ]==> (a (((^x.x) b)(a (^y.y)))) 7. ==[ beta ]==> (a (b (a (^y.y)))) 8. ==[ alpha ]==> (a (b (a (^x.x)))) REDUCED to normal form. ------ 127272/12847710. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 127273/12847737. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a)(a (a a)))) REDUCED to normal form. ------ 127274/12847764. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(((a a)(^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 127275/12847791. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 127276/12847818. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a b)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a b))) 5. ==[ beta ]==> ((^y.y)((a b)(a b))) 6. ==[ alpha ]==> ((^x.x)((a b)(a b))) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 127277/12848025. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 127278/12848079. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> (a ((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))((^x1.x1) a))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 127279/12848160. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))((a a) a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 127280/12848187. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b)(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a b))) 5. ==[ beta ]==> ((^y.b)(a b)) 6. ==[ alpha ]==> ((^x.b)(a b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 127281/12848241. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(^z.z)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 127282/12848322. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 127283/12848367. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(a a)) a)) REDUCED to normal form. ------ 127284/12848394. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) b) b)) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) b) b)) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) b) b)) 5. ==[ beta ]==> ((a (a (a a)))(b b)) REDUCED to normal form. ------ 127285/12848511. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 127286/12848592. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) IRREDUCIBLE: cycle. ------ 127287/12848655. ------ 1. ==[ start ]==> ((((a a) a) b)(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)(c (a (^x.(^y.y))))) REDUCED to normal form. ------ 127288/12848673. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127289/12848682. ------ 1. ==[ start ]==> (((a b) a)(b ((^a.a) b))) 2. ==[ alpha ]==> (((a b) a)(b ((^x.x) b))) 3. ==[ beta ]==> (((a b) a)(b b)) REDUCED to normal form. ------ 127290/12848700. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 127291/12848709. ------ 1. ==[ start ]==> (((a a)(^a.b))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(a ((a a)(a a)))) REDUCED to normal form. ------ 127292/12848763. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) REDUCED to normal form. ------ 127293/12848790. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((b a) a)) REDUCED to normal form. ------ 127294/12848817. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 127295/12848844. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 127296/12848871. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a b)((a a) a))) REDUCED to normal form. ------ 127297/12849069. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) b)(^y.y))) 3. ==[ beta ]==> (((a b)(a a))(b (^y.y))) 4. ==[ alpha ]==> (((a b)(a a))(b (^x.x))) REDUCED to normal form. ------ 127298/12849096. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 127299/12849105. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 127300/12849186. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 127301/12849267. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127302/12849321. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(b a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(b a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(b a))) 5. ==[ beta ]==> ((a a)((^y.a)(b a))) 6. ==[ alpha ]==> ((a a)((^x.a)(b a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 127303/12849348. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127304/12849402. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.z1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127305/12849483. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127306/12849708. ------ 1. ==[ start ]==> (((^a.b) c)(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) c)(a ((^y.y) b))) 3. ==[ beta ]==> (b (a ((^y.y) b))) 4. ==[ alpha ]==> (b (a ((^x.x) b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 127307/12849717. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y) a)) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 127308/12849744. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 127309/12849951. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a b) c)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a b) c)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 127310/12849978. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.y))(b a))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(b a))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(b a))) REDUCED to normal form. ------ 127311/12850005. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 127312/12850023. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 127313/12850050. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 127314/12850185. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)((a a) a))) 3. ==[ beta ]==> (b ((^z.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 127315/12850311. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 127316/12850338. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((a (a b))((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> ((a (a b))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 127317/12850365. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((b a) b)) REDUCED to normal form. ------ 127318/12850617. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 127319/12850761. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a) a)(^y.y))) REDUCED to normal form. ------ 127320/12850869. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 127321/12850896. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(b a))) REDUCED to normal form. ------ 127322/12850968. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127323/12851076. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 127324/12851094. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(b a))((a (a a))(^x.b))) REDUCED to normal form. ------ 127325/12851121. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 127326/12851202. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((b a) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))((b a) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((b a) a)) 5. ==[ beta ]==> (((a a) a)((b a) a)) REDUCED to normal form. ------ 127327/12851229. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 127328/12851256. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(a a)) c)) 3. ==[ beta ]==> (((a b)(a (a a)))((a a) c)) REDUCED to normal form. ------ 127329/12851373. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 127330/12851652. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a b))) REDUCED to normal form. ------ 127331/12851679. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 127332/12851697. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 127333/12851832. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (b ((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 127334/12851940. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127335/12851967. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 127336/12851985. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 127337/12852012. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(b a))((a a) b)) REDUCED to normal form. ------ 127338/12852039. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a b) c)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a b) c)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b) c)) REDUCED to normal form. ------ 127339/12852246. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127340/12852255. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 127341/12852282. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.b) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.b) c)) 3. ==[ beta ]==> ((a b)((^y.b) c)) 4. ==[ alpha ]==> ((a b)((^x.b) c)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 127342/12852453. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 127343/12852561. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127344/12852615. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)((a a) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)((a a) a))) 5. ==[ beta ]==> (b ((^y.a)((a a) a))) 6. ==[ alpha ]==> (b ((^x.a)((a a) a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 127345/12852642. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127346/12852696. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 127347/12852777. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127348/12852885. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.y1)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127349/12852894. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a ((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (a a))) REDUCED to normal form. ------ 127350/12852921. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a b)(a a))) 3. ==[ beta ]==> ((b (^y.y))((a b)(a a))) 4. ==[ alpha ]==> ((b (^x.x))((a b)(a a))) REDUCED to normal form. ------ 127351/12852957. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^c.a) c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a) c)) 3. ==[ beta ]==> (((a a) b)((^y.a) c)) 4. ==[ alpha ]==> (((a a) b)((^x.a) c)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 127352/12853119. ------ 1. ==[ start ]==> (((a b)((a a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((a b)(^x.x))) REDUCED to normal form. ------ 127353/12853146. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 127354/12853173. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.a)) REDUCED to normal form. ------ 127355/12853227. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 127356/12853254. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((b (a a))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((b (a a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 127357/12853281. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a a)(^x.b))) REDUCED to normal form. ------ 127358/12853317. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 127359/12853452. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127360/12853596. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((b b)(a (a (a a)))) REDUCED to normal form. ------ 127361/12853623. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a)((a (^x.x))(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a)) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 127362/12853641. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(b (^y.a))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.a))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.a))) REDUCED to normal form. ------ 127363/12853668. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(a (^x1.b))) 3. ==[ beta ]==> ((^y.y)(a (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 127364/12853722. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 127365/12853803. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127366/12853911. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127367/12853947. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c (a (a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c (a (a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c (a (a a)))) REDUCED to normal form. ------ 127368/12853974. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(b (^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b (^y.y))) REDUCED to normal form. ------ 127369/12854037. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 127370/12854172. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 127371/12854199. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 127372/12854226. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.a))) REDUCED to normal form. ------ 127373/12854280. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 127374/12854307. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((b (a (^x.x)))((^z.z) a)) 6. ==[ alpha ]==> ((b (a (^x.x)))((^y.y) a)) 7. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 127375/12854334. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (a a)) b)) REDUCED to normal form. ------ 127376/12854361. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y) a) c)) 3. ==[ beta ]==> ((a (b (^x.x)))(a c)) REDUCED to normal form. ------ 127377/12854532. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(b (^z.(z z)))) 3. ==[ beta ]==> (b (b (^z.(z z)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 127378/12854640. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127379/12854748. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 127380/12854775. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 127381/12854811. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 127382/12854838. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 127383/12854910. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.a)(a a))) 3. ==[ beta ]==> (b ((^z.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 127384/12854919. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(c b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(c b)) REDUCED to normal form. ------ 127385/12854946. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(b c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(b c)) 3. ==[ beta ]==> (((a a)(^y.b))(b c)) 4. ==[ alpha ]==> (((a a)(^x.b))(b c)) REDUCED to normal form. ------ 127386/12855018. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127387/12855027. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(b (a (^x1.x1)))) REDUCED to normal form. ------ 127388/12855054. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(a ((^z.z) a))) 3. ==[ beta ]==> ((b (^y.a))(a ((^z.z) a))) 4. ==[ alpha ]==> ((b (^x.a))(a ((^y.y) a))) 5. ==[ beta ]==> ((b (^x.a))(a a)) REDUCED to normal form. ------ 127389/12855081. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 127390/12855144. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 127391/12855171. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 127392/12855198. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (^z.z)) a)) 3. ==[ beta ]==> ((a ((^y.y) b))((a (^z.z)) a)) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y)) a)) 5. ==[ beta ]==> ((a b)((a (^y.y)) a)) 6. ==[ alpha ]==> ((a b)((a (^x.x)) a)) REDUCED to normal form. ------ 127393/12855225. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a a) b)) REDUCED to normal form. ------ 127394/12855252. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((b a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((b a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 127395/12855279. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y) b)) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x))) b) REDUCED to normal form. ------ 127396/12855306. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a a)(^y.y))) 3. ==[ beta ]==> (((a b)(a a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a b)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 127397/12855333. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a a) a)) 3. ==[ beta ]==> (((a a)(a b))((a a) a)) REDUCED to normal form. ------ 127398/12855360. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y) a)) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a)) a) REDUCED to normal form. ------ 127399/12855386. ------ 1. ==[ start ]==> (^a.((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.((b x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (^x.((b x)(^z.z))) 4. ==[ alpha ]==> (^x.((b x)(^y.y))) REDUCED to normal form. ------ 127400/12855387. ------ 1. ==[ start ]==> (a ((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a ((b a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (a ((b a)(^y.y))) 4. ==[ alpha ]==> (a ((b a)(^x.x))) REDUCED to normal form. ------ 127401/12860745. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127402/12864174. ------ 1. ==[ start ]==> ((^a.a)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 127403/12864201. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a) a))(((a a)(^y.y))((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 127404/12864228. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 127405/12864309. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))(b a))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.z)) 5. ==[ beta ]==> (((^y.y)(b a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(b a))(^y.y)) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 127406/12864807. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 127407/12865551. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((((a a)((a a)(a a)))((a a)((a a)(a a))))((a a)((a a)(a a)))) REDUCED to normal form. ------ 127408/12865884. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 127409/12866274. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 127410/12866625. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(y y)))) 3. ==[ beta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 127411/12867273. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 127412/12867282. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 127413/12867333. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((((b a)(a (^z.z)))((b a)(a (^z.z))))(^y.y)) 4. ==[ alpha ]==> ((((b a)(a (^x.x)))((b a)(a (^y.y))))(^z.z)) REDUCED to normal form. ------ 127414/12869529. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127415/12869532. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 127416/12869844. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 127417/12870459. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.(a a)))) REDUCED to normal form. ------ 127418/12870657. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.(a b))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(a b))) REDUCED to normal form. ------ 127419/12871242. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.b))) REDUCED to normal form. ------ 127420/12871575. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.((x x) x))) REDUCED to normal form. ------ 127421/12872241. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(a (a a)))) 3. ==[ beta ]==> ((b c)(^y.(a (a a)))) 4. ==[ alpha ]==> ((b c)(^x.(a (a a)))) REDUCED to normal form. ------ 127422/12872619. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 127423/12872763. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.c)) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.c)) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.c)) 5. ==[ beta ]==> ((a b)(^y.c)) 6. ==[ alpha ]==> ((a b)(^x.c)) REDUCED to normal form. ------ 127424/12872817. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(y (^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(y (^z.z)))) 6. ==[ alpha ]==> ((b a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 127425/12872898. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.b)) 3. ==[ beta ]==> (((a a)(a b))(^y.b)) 4. ==[ alpha ]==> (((a a)(a b))(^x.b)) REDUCED to normal form. ------ 127426/12872925. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(y y))) REDUCED to normal form. ------ 127427/12872964. ------ 1. ==[ start ]==> ((a a)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((b a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a a)((b a)(^y.y))) 4. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 127428/12872991. ------ 1. ==[ start ]==> ((a (a a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 127429/12873018. ------ 1. ==[ start ]==> ((a b)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((a b)(((^x.x)(a a))(a b))) 3. ==[ beta ]==> ((a b)((a a)(a b))) REDUCED to normal form. ------ 127430/12873072. ------ 1. ==[ start ]==> (((a a)(a a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 127431/12873099. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(b a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(b a))) 5. ==[ beta ]==> ((a (a (^x.x)))(b a)) REDUCED to normal form. ------ 127432/12873297. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((^y.a)(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 127433/12873324. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 127434/12873333. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 127435/12873387. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 127436/12873405. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 127437/12873414. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 127438/12873441. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 127439/12873549. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((a a)((^y.a)((^z.z) b))) 4. ==[ alpha ]==> ((a a)((^x.a)((^y.y) b))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 127440/12873648. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a)) b)) 5. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 7. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 127441/12873675. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) b) c)) 3. ==[ beta ]==> ((a (a a))(((^y.y) b) c)) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b) c)) 5. ==[ beta ]==> ((a (a a))(b c)) REDUCED to normal form. ------ 127442/12873684. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 127443/12873711. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 127444/12874053. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) c)) 5. ==[ beta ]==> ((^y.y)((^z.z) c)) 6. ==[ alpha ]==> ((^x.x)((^y.y) c)) 7. ==[ beta ]==> ((^y.y) c) 8. ==[ alpha ]==> ((^x.x) c) 9. ==[ beta ]==> c REDUCED to normal form. ------ 127445/12874206. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 127446/12874233. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(^y.y))) REDUCED to normal form. ------ 127447/12874260. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(b a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(b a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(b a))) 5. ==[ beta ]==> ((a a)((a (a a))(b a))) REDUCED to normal form. ------ 127448/12874287. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 127449/12874314. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a a)((a (^y.y))((^z.z) b))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y) b))) 7. ==[ beta ]==> ((a a)((a (^x.x)) b)) REDUCED to normal form. ------ 127450/12874341. ------ 1. ==[ start ]==> ((a ((a a) a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 127451/12874377. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 127452/12874431. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> (a ((a (^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 127453/12874539. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.b))) 5. ==[ beta ]==> ((a b)(^y.b)) 6. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 127454/12874548. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 127455/12874602. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 127456/12874629. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127457/12874656. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 127458/12874674. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 127459/12874845. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127460/12875007. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 127461/12875034. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 127462/12875061. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 127463/12875259. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a)(a b))) REDUCED to normal form. ------ 127464/12875286. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)(a a))) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(a a))) 7. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 127465/12875313. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (a a))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 127466/12875340. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(b a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a (b a))) REDUCED to normal form. ------ 127467/12875367. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (a ((a (^y.y))(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> (a ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 127468/12875394. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)((^y.y) b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a) b)) REDUCED to normal form. ------ 127469/12875412. ------ 1. ==[ start ]==> (((^a.b) b)(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(a (^y.(a a)))) 3. ==[ beta ]==> (b (a (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 127470/12875457. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 127471/12875484. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((b a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 127472/12875538. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 127473/12875619. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 127474/12875628. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 127475/12875655. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 127476/12875682. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(b a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 127477/12875700. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 127478/12875709. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 127479/12875754. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1) b) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) b) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) b) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) b) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) b) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b) a)) 9. ==[ beta ]==> ((^y.y)(((^z.z) b) a)) 10. ==[ alpha ]==> ((^x.x)(((^y.y) b) a)) 11. ==[ beta ]==> (((^y.y) b) a) 12. ==[ alpha ]==> (((^x.x) b) a) 13. ==[ beta ]==> (b a) REDUCED to normal form. ------ 127480/12875763. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 127481/12875790. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.(^y2.y2)))(^z2.(^x3.x3)))) 9. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.(^y2.y2)))(^z2.(^x3.x3)))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127482/12875844. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 127483/12875871. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 127484/12876042. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> ((((a a) a) a)(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a) a) a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 127485/12876060. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)(^z.z))) 3. ==[ beta ]==> (b ((^y.y)(^z.z))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127486/12876069. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a ((^y.y) b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a b)) REDUCED to normal form. ------ 127487/12876096. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 127488/12876123. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 127489/12876159. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1)) d)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) d)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) d)) 5. ==[ beta ]==> ((^y.(^z.z)) d) 6. ==[ alpha ]==> ((^x.(^y.y)) d) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127490/12876303. ------ 1. ==[ start ]==> (((a b) c)(d (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(d (^x.(^y.y)))) REDUCED to normal form. ------ 127491/12876330. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (^d.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c (^y.a))) 3. ==[ beta ]==> (((a a) b)(c (^y.a))) 4. ==[ alpha ]==> (((a a) b)(c (^x.a))) REDUCED to normal form. ------ 127492/12876357. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 127493/12876402. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 127494/12876411. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 127495/12876456. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 127496/12876492. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127497/12876519. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 127498/12876537. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a) a)(^z.a))) 3. ==[ beta ]==> (b (((a a) a)(^z.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 127499/12876546. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 127500/12876573. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 127501/12876600. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 127502/12877050. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127503/12877221. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 127504/12877320. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 127505/12877329. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 127506/12877356. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 127507/12877383. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 127508/12877707. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127509/12877887. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> (b ((^x1.(a a)) c)) 4. ==[ alpha ]==> (b ((^x.(a a)) c)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 127510/12878103. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a)(^y.y))(^z.z))) 7. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 127511/12878112. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 127512/12878139. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(a a))(a (^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 127513/12878184. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 127514/12878193. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 127515/12878220. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 127516/12878247. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 127517/12878292. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127518/12878301. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 127519/12878319. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 127520/12878553. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(b (a a))) REDUCED to normal form. ------ 127521/12878607. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a a)(a a))) REDUCED to normal form. ------ 127522/12878634. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a b)(a (^y.y)))) 3. ==[ beta ]==> ((a b)((a b)(a (^y.y)))) 4. ==[ alpha ]==> ((a b)((a b)(a (^x.x)))) REDUCED to normal form. ------ 127523/12878643. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) c)) 3. ==[ beta ]==> ((^y.y)((^z.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 127524/12878913. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.(y2 y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(^x2.x2))(^y2.(y2 y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127525/12878922. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 127526/12878949. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((b a)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((b a)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 11. ==[ beta ]==> ((b a)(^y.y)) 12. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 127527/12878967. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (b (((^y.y) a)(^z.a))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 7. ==[ beta ]==> (b (a (^y.a))) 8. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 127528/12878976. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 127529/12878994. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 127530/12879003. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 127531/12879048. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a) a)) REDUCED to normal form. ------ 127532/12879084. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 127533/12879111. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 127534/12879138. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 127535/12879165. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 127536/12879192. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 127537/12879246. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(^z1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(a a))) REDUCED to normal form. ------ 127538/12879309. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a) b)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 127539/12879336. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1) a)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1) a)) 7. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 127540/12879363. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((a (b a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 127541/12879390. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a (^z.z))) 6. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 127542/12879417. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))((a a) a))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((a a) a))) 7. ==[ beta ]==> ((a a)((a (^y.y))((a a) a))) 8. ==[ alpha ]==> ((a a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 127543/12879444. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a)(a b))) REDUCED to normal form. ------ 127544/12879669. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 127545/12879912. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127546/12880029. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.b))) REDUCED to normal form. ------ 127547/12880074. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((b a)(b a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((b a)(b a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((b a)(b a))(^y.(^z.z))) 8. ==[ alpha ]==> (((b a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 127548/12880137. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 127549/12880155. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 127550/12880164. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 127551/12880218. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 127552/12880272. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(^y1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 127553/12880299. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 127554/12880326. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 127555/12880362. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(a ((a a) a))) REDUCED to normal form. ------ 127556/12880389. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(a a))) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(a a))) 7. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 127557/12880416. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 127558/12880443. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(b a))(a ((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(b a))(a ((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(b a))(a a)) REDUCED to normal form. ------ 127559/12880470. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 127560/12880497. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)(a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((((a a) a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 127561/12880803. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127562/12880992. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127563/12881028. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y)(a (a a)))) 3. ==[ beta ]==> ((b c)((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((b c)((^x.x)(a (a a)))) 5. ==[ beta ]==> ((b c)(a (a a))) REDUCED to normal form. ------ 127564/12881055. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((((a a)(a a)) b)((^y.y)(^y.y))) 4. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 6. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 127565/12881100. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (^z.z)) c)) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z)) c)) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y)) c)) REDUCED to normal form. ------ 127566/12881181. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.a) b)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.a) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.a) b)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 127567/12881262. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 127568/12881271. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.a)(a a))) 3. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 127569/12881298. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 127570/12881370. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127571/12881379. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 127572/12881406. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((b (^y.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((b (^x.a))(^z.a)) 6. ==[ alpha ]==> ((b (^x.a))(^y.a)) REDUCED to normal form. ------ 127573/12881496. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(c a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(c a)) REDUCED to normal form. ------ 127574/12881523. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(b b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(b b)) REDUCED to normal form. ------ 127575/12881550. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(a c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(a c)) 3. ==[ beta ]==> ((a ((^y.y) b))(a c)) 4. ==[ alpha ]==> ((a ((^x.x) b))(a c)) 5. ==[ beta ]==> ((a b)(a c)) REDUCED to normal form. ------ 127576/12881577. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(b (a a))) REDUCED to normal form. ------ 127577/12881604. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(a (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(b a))(a (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(b a))(a (a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (a (^y.y)))) 6. ==[ alpha ]==> ((b a)(a (a (^x.x)))) REDUCED to normal form. ------ 127578/12881631. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 127579/12881658. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(b a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(b a)) 3. ==[ beta ]==> (((a b)(a a))(b a)) REDUCED to normal form. ------ 127580/12881685. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(a b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(a b)) 3. ==[ beta ]==> (((a a)(a b))(a b)) REDUCED to normal form. ------ 127581/12881712. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(a (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a (a a))) REDUCED to normal form. ------ 127582/12882003. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> (^x.(^y.(b (^z.z)))) REDUCED to normal form. ------ 127583/12890553. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127584/12890634. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 127585/12890796. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)(b (^z.z)))) 3. ==[ beta ]==> (^y.((a a)(b (^z.z)))) 4. ==[ alpha ]==> (^x.((a a)(b (^y.y)))) REDUCED to normal form. ------ 127586/12890799. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(b (^z.z)))) REDUCED to normal form. ------ 127587/12891138. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((^y.a)((^z.z) b))(((^y.a)((^z.z) b))((^y.a)((^z.z) b)))) 4. ==[ alpha ]==> (((^x.a)((^y.y) b))(((^z.a)((^x1.x1) b))((^y1.a)((^z1.z1) b)))) 5. ==[ beta ]==> (a (((^z.a)((^x1.x1) b))((^y1.a)((^z1.z1) b)))) 6. ==[ alpha ]==> (a (((^x.a)((^y.y) b))((^z.a)((^x1.x1) b)))) 7. ==[ beta ]==> (a (a ((^z.a)((^x1.x1) b)))) 8. ==[ alpha ]==> (a (a ((^x.a)((^y.y) b)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 127588/12891489. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127589/12891582. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(b (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(b (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 7. ==[ beta ]==> (^y.(b (^z.z))) 8. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 127590/12891921. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (^y.(a a)))) 3. ==[ beta ]==> (((b (^y.(a a)))(b (^y.(a a))))(b (^y.(a a)))) 4. ==[ alpha ]==> (((b (^x.(a a)))(b (^y.(a a))))(b (^z.(a a)))) REDUCED to normal form. ------ 127591/12892302. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((a a)(a a)))) REDUCED to normal form. ------ 127592/12892434. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 127593/12892662. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((^y.y)(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(y y)))) 5. ==[ beta ]==> (^y.((y y)(y y))) 6. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 127594/12892821. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b)((a a) a))) 3. ==[ beta ]==> (^y.(((a b)((a a) a))((a b)((a a) a)))) 4. ==[ alpha ]==> (^x.(((a b)((a a) a))((a b)((a a) a)))) REDUCED to normal form. ------ 127595/12893004. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 127596/12893028. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 7. ==[ beta ]==> ((a a)((^y.y)(a a))) 8. ==[ alpha ]==> ((a a)((^x.x)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 127597/12893652. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 127598/12894273. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a b))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a b))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 127599/12894459. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.b))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127600/12895137. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(z a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(z a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(y a))) 5. ==[ beta ]==> (((a a) a)(^y.(y a))) 6. ==[ alpha ]==> (((a a) a)(^x.(x a))) REDUCED to normal form. ------ 127601/12895296. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(^z1.a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 127602/12895920. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 127603/12896388. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 127604/12897054. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 127605/12897213. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((^y.(^z.z))((a a) a))((^y.(^z.z))((a a) a)))(((^y.(^z.z))((a a) a))((^y.(^z.z))((a a) a)))) 4. ==[ alpha ]==> ((((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a)))(((^y1.(^z1.z1))((a a) a))((^x2.(^y2.y2))((a a) a)))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))((a a) a)))(((^y1.(^z1.z1))((a a) a))((^x2.(^y2.y2))((a a) a)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((a a) a)))(((^x1.(^y1.y1))((a a) a))((^z1.(^x2.x2))((a a) a)))) 7. ==[ beta ]==> (((^y.(^z.z))((a a) a))(((^x1.(^y1.y1))((a a) a))((^z1.(^x2.x2))((a a) a)))) 8. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.(^x1.x1))((a a) a))((^y1.(^z1.z1))((a a) a)))) 9. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))((a a) a))((^y1.(^z1.z1))((a a) a)))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((a a) a))((^x1.(^y1.y1))((a a) a)))) 11. ==[ beta ]==> (((^y.(^z.z))((a a) a))((^x1.(^y1.y1))((a a) a))) 12. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a))) 13. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 15. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 16. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127606/12897603. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 127607/12897945. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.a))) REDUCED to normal form. ------ 127608/12898107. ------ 1. ==[ start ]==> (((a b)(a b))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.x))) REDUCED to normal form. ------ 127609/12898242. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x)))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 127610/12898293. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127611/12898386. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.((^y2.y2)(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127612/12898611. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b c)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b c)(^x.(^y.(y y)))) REDUCED to normal form. ------ 127613/12898989. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^c.c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.z)) 3. ==[ beta ]==> ((b (^y.a))(^z.z)) 4. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 127614/12899079. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 127615/12899133. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(a (^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(a (^z.z)))) 6. ==[ alpha ]==> ((a b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 127616/12899187. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 127617/12899241. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 127618/12899268. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(a a))) 3. ==[ beta ]==> (((a a)(a b))(^y.(a a))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(a a))) REDUCED to normal form. ------ 127619/12899295. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 127620/12899352. ------ 1. ==[ start ]==> ((a (^a.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x))((b a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 127621/12899379. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 127622/12899406. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(a b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a b))) 5. ==[ beta ]==> ((a a)((a a)(a b))) REDUCED to normal form. ------ 127623/12899433. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 127624/12899487. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127625/12899514. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 127626/12899541. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.x))(a ((^z.z) b))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) b))) 7. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 127627/12899568. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 127628/12899595. ------ 1. ==[ start ]==> ((a (^b.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a a)(b (^y.y)))) REDUCED to normal form. ------ 127629/12899631. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 127630/12899712. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 127631/12899739. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 127632/12899766. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 127633/12899793. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.b))) REDUCED to normal form. ------ 127634/12899820. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(a a)))) REDUCED to normal form. ------ 127635/12899883. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 127636/12899910. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 127637/12899928. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 127638/12899937. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)((^y.y) b))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 127639/12900009. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a) b)((b (^y.y)) a)) 3. ==[ beta ]==> ((a b)((b (^y.y)) a)) 4. ==[ alpha ]==> ((a b)((b (^x.x)) a)) REDUCED to normal form. ------ 127640/12900036. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a)(a a)) b)) REDUCED to normal form. ------ 127641/12900063. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) b) c)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b c)) REDUCED to normal form. ------ 127642/12900180. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(^y.b))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 127643/12900207. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 127644/12900288. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.x))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 127645/12900378. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (b (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (b (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(a (b (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 7. ==[ beta ]==> (a (b (^y.y))) 8. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 127646/12900432. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 7. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 8. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 9. ==[ beta ]==> (b (a (^y.y))) 10. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 127647/12900441. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) c) REDUCED to normal form. ------ 127648/12900459. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 127649/12900513. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 127650/12900720. ------ 1. ==[ start ]==> ((a ((a a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(b (^x.(a a)))) REDUCED to normal form. ------ 127651/12900846. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((b a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) b)((b a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) b)((b a)(^y.(y y)))) 5. ==[ beta ]==> (b ((b a)(^y.(y y)))) 6. ==[ alpha ]==> (b ((b a)(^x.(x x)))) REDUCED to normal form. ------ 127652/12900873. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 127653/12900927. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.b))) REDUCED to normal form. ------ 127654/12900954. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 127655/12900981. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 127656/12901035. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 127657/12901071. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 127658/12901098. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 127659/12901152. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 127660/12901179. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.a))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 127661/12901233. ------ 1. ==[ start ]==> ((a (a b))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 127662/12901404. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (c (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (c (a (^x.(^y.y))))) REDUCED to normal form. ------ 127663/12901431. ------ 1. ==[ start ]==> (((^a.a)(a b))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a b))(b ((^y.y) b))) 3. ==[ beta ]==> ((a b)(b ((^y.y) b))) 4. ==[ alpha ]==> ((a b)(b ((^x.x) b))) 5. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 127664/12901458. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(a ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(a a)))) 5. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 127665/12901494. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 127666/12901512. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 127667/12901593. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 127668/12901620. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b)((a a) a))) REDUCED to normal form. ------ 127669/12901773. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 127670/12901800. ------ 1. ==[ start ]==> (((a b)(a a))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 127671/12901827. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(a a))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 127672/12902007. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b) b)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a b) b)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a b) b)(^y.(a a))) 6. ==[ alpha ]==> (((a b) b)(^x.(a a))) REDUCED to normal form. ------ 127673/12902088. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 127674/12902142. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) b) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 127675/12902169. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1))) b)) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z))) b)) 7. ==[ beta ]==> (((a (^y.(^z.z))) b)((a (^y.(^z.z))) b)) 8. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 127676/12902196. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((b a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((b a) c)) REDUCED to normal form. ------ 127677/12902286. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.a))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 127678/12902313. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 127679/12902340. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 127680/12902421. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 127681/12902448. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 127682/12902538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 127683/12902673. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (b ((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 127684/12902754. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 127685/12902790. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 127686/12902817. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 127687/12902871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127688/12902898. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 127689/12902925. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 127690/12902952. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.b))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.b))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.b)) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 127691/12902979. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 127692/12903015. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 127693/12903042. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(b a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 127694/12903069. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a b))((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a b))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 127695/12903096. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 127696/12903177. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a b) a)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a b) a)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 127697/12903204. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 127698/12903258. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 127699/12903348. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (b a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (b a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (b a))) 5. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 127700/12903429. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b (((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 127701/12903537. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> ((b a)((^y.y)((a a) a))) 6. ==[ alpha ]==> ((b a)((^x.x)((a a) a))) 7. ==[ beta ]==> ((b a)((a a) a)) REDUCED to normal form. ------ 127702/12903564. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 127703/12903618. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 127704/12903681. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 127705/12903708. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 127706/12903735. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 127707/12903762. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b)(^x1.(x1 x1)))) REDUCED to normal form. ------ 127708/12903825. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 127709/12903852. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 127710/12903879. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 127711/12903906. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 127712/12903933. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)(b a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)(b a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(b a))) 5. ==[ beta ]==> (((a a) a)((^y.y)(b a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(b a))) 7. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 127713/12903987. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 127714/12904014. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 127715/12904041. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 127716/12904095. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 127717/12904185. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b ((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)(b ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 127718/12904266. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (b ((a a)(a (^y.y)))) 6. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 127719/12904374. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127720/12904401. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 127721/12904428. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 127722/12904491. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 127723/12904518. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 127724/12904572. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 127725/12904599. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 127726/12904626. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a))(^z.a))) REDUCED to normal form. ------ 127727/12904680. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1))(^y1.(a a)))) REDUCED to normal form. ------ 127728/12904716. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(^z.z))) REDUCED to normal form. ------ 127729/12904743. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 127730/12904770. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 127731/12904797. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(^y.a))) 5. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 127732/12904824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a b)((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> ((a b)((^x.a)(^y.(y y)))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 127733/12904851. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 127734/12904878. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.a)(^z.a))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 127735/12904905. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.a)(^z.b))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(^y.b))) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 127736/12904932. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 127737/12904977. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127738/12905022. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 127739/12905049. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((a a) a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 127740/12905184. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 127741/12905301. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(z z))) REDUCED to normal form. ------ 127742/12905328. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((b a)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 127743/12905355. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 127744/12905382. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.b))) REDUCED to normal form. ------ 127745/12905463. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a b) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b) b)) 5. ==[ beta ]==> ((^y.(a a))((a b) b)) 6. ==[ alpha ]==> ((^x.(a a))((a b) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 127746/12905490. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((a a) a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a) a) c)) REDUCED to normal form. ------ 127747/12905517. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(^a.a)) d)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z)) d)) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z) d)) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y) d)) 5. ==[ beta ]==> (((a b)(^x.a)) d) REDUCED to normal form. ------ 127748/12905616. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(b (a b))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127749/12905652. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(a a)) a)) 3. ==[ beta ]==> ((b (^y.y))((^z.(a a)) a)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(a a)) a)) 5. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 127750/12905823. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a b))(b (^x.b))) REDUCED to normal form. ------ 127751/12905850. ------ 1. ==[ start ]==> (((a b)((a a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(a (^x.(a a)))) REDUCED to normal form. ------ 127752/12905877. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.b)(a a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.b)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a a))) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 127753/12905958. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 127754/12905985. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 127755/12906012. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 127756/12906183. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 127757/12906291. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127758/12906372. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 127759/12906399. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 127760/12906435. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((a a) a)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 127761/12906516. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.(y y)))) REDUCED to normal form. ------ 127762/12906543. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 127763/12906597. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a) a)) REDUCED to normal form. ------ 127764/12906651. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (a a)) c)) REDUCED to normal form. ------ 127765/12906876. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 127766/12906903. ------ 1. ==[ start ]==> (((a b)(a b))(a (^c.a))) 2. ==[ alpha ]==> (((a b)(a b))(a (^x.a))) REDUCED to normal form. ------ 127767/12906930. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 127768/12906957. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a (^x1.x1))(a (^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 127769/12907011. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 127770/12907038. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(^z.z))) 7. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 8. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 127771/12907065. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 127772/12907092. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 127773/12907182. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(a ((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127774/12907263. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 127775/12907407. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a)(^y.(y y)))) 3. ==[ beta ]==> ((b c)((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((b c)((a a)(^x.(x x)))) REDUCED to normal form. ------ 127776/12907434. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (a a)) a)) REDUCED to normal form. ------ 127777/12907479. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(c (a (^z.z)))) 3. ==[ beta ]==> ((b (^y.y))(c (a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.x))(c (a (^y.y)))) REDUCED to normal form. ------ 127778/12907506. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(b ((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 127779/12907542. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z)) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) a)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 127780/12907560. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1) a)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (a a))) REDUCED to normal form. ------ 127781/12907569. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.a) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 127782/12907650. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 127783/12907677. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 127784/12907758. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^x1.x1)) b)) REDUCED to normal form. ------ 127785/12907785. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a a) c)) 3. ==[ beta ]==> ((b (^y.a))((a a) c)) 4. ==[ alpha ]==> ((b (^x.a))((a a) c)) REDUCED to normal form. ------ 127786/12907812. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 127787/12907875. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 127788/12907902. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 127789/12907929. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a b)(a (^y.y))) 8. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 127790/12907956. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 127791/12907983. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(^y.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 127792/12908010. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(b (^y.y))) REDUCED to normal form. ------ 127793/12908037. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 127794/12908064. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(a a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(a a))) 5. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 127795/12908091. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 127796/12917265. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 127797/12917436. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 127798/12917535. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((^y.y) a)(^z.z))((((^y.y) a)(^z.z))(((^y.y) a)(^z.z)))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.y))((((^z.z) a)(^x1.x1))(((^y1.y1) a)(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((((^z.z) a)(^x1.x1))(((^y1.y1) a)(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((((^y.y) a)(^z.z))(((^x1.x1) a)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))((a (^z.z))(((^x1.x1) a)(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(((^z.z) a)(^x1.x1)))) 9. ==[ beta ]==> ((a (^x.x))((a (^y.y))(a (^x1.x1)))) 10. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 127799/12917760. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 127800/12917988. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(b (^y.y)))) REDUCED to normal form. ------ 127801/12918651. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 127802/12919059. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 127803/12919392. ------ 1. ==[ start ]==> (((^a.b) b)(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((^z.z) b))) 3. ==[ beta ]==> (b (^y.((^z.z) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 127804/12919425. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((((^z.z) b)(^x1.x1))(((^z.z) b)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) b)(^z.z))(((^x1.x1) b)(^y1.y1)))) 5. ==[ beta ]==> ((((^y.y) b)(^z.z))(((^x1.x1) b)(^y1.y1))) 6. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z) b)(^x1.x1))) 7. ==[ beta ]==> ((b (^y.y))(((^z.z) b)(^x1.x1))) 8. ==[ alpha ]==> ((b (^x.x))(((^y.y) b)(^z.z))) 9. ==[ beta ]==> ((b (^x.x))(b (^z.z))) 10. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 127805/12919734. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(x x))((^y.y)(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.y1)) 7. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.y1)) 8. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 9. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 10. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127806/12920040. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 127807/12920100. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((((^z.(^x1.(^y1.y1))) b)((^z.(^x1.(^y1.y1))) b))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.(^z.z))) b)((^x1.(^y1.(^z1.z1))) b))(^x2.x2)) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.(^y1.(^z1.z1))) b))(^x2.x2)) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.(^x1.(^y1.y1))) b))(^z1.z1)) 7. ==[ beta ]==> ((^y.y)(^z1.z1)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127808/12920382. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 127809/12920670. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 127810/12922296. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127811/12922578. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127812/12922611. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(a a)) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 127813/12922785. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 127814/12923028. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 127815/12923253. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((b (^y.y))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((b (^x.x))(^y.(y y))) REDUCED to normal form. ------ 127816/12923649. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.z)) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 127817/12924009. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((a a) a))) REDUCED to normal form. ------ 127818/12924639. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 127819/12924690. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (a a)) b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127820/12924783. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127821/12925008. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.d)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.y)) 3. ==[ beta ]==> ((b c)(^y.y)) 4. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 127822/12925143. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(z (z z)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z (z z)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 127823/12925242. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 127824/12925413. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 127825/12925476. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.c)) REDUCED to normal form. ------ 127826/12925530. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 127827/12925584. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^c.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.b)) 3. ==[ beta ]==> (((^y.y)(b a))(^z.b)) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.b)) 5. ==[ beta ]==> ((b a)(^y.b)) 6. ==[ alpha ]==> ((b a)(^x.b)) REDUCED to normal form. ------ 127828/12925638. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^b.b)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.y)) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 127829/12925665. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.z))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 127830/12925767. ------ 1. ==[ start ]==> (((^a.a) a)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (a ((b a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (a ((b a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (a ((b a)(^y.y))) 6. ==[ alpha ]==> (a ((b a)(^x.x))) REDUCED to normal form. ------ 127831/12925794. ------ 1. ==[ start ]==> (((a a) a)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 127832/12925821. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(a b))) REDUCED to normal form. ------ 127833/12925848. ------ 1. ==[ start ]==> (((^a.a) b)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (b ((a b)((^y.y)(a a)))) 4. ==[ alpha ]==> (b ((a b)((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 127834/12925875. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 127835/12925902. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(b a))) 3. ==[ beta ]==> (((a a) b)((^y.y)(b a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(b a))) 5. ==[ beta ]==> (((a a) b)(b a)) REDUCED to normal form. ------ 127836/12925929. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 127837/12925956. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z) b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 127838/12925983. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((a a)(a a)))) REDUCED to normal form. ------ 127839/12926046. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 127840/12926073. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(((a a)(a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 127841/12926082. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 127842/12926109. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 127843/12926244. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 127844/12926316. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))((a (a a))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 127845/12926343. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> ((a (a (a a)))(a (^y.y))) 4. ==[ alpha ]==> ((a (a (a a)))(a (^x.x))) REDUCED to normal form. ------ 127846/12926352. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)((^z.z) b))) 5. ==[ beta ]==> (((^y.a)((^z.z) b))((^y.a)((^z.z) b))) 6. ==[ alpha ]==> (((^x.a)((^y.y) b))((^z.a)((^x1.x1) b))) 7. ==[ beta ]==> (a ((^z.a)((^x1.x1) b))) 8. ==[ alpha ]==> (a ((^x.a)((^y.y) b))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 127847/12926379. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127848/12926487. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 127849/12926568. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 127850/12926703. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127851/12926730. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 127852/12926793. ------ 1. ==[ start ]==> (((a (a a)) b)(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(a (b (^x.x)))) REDUCED to normal form. ------ 127853/12926820. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(a a))(a a))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(a a))(a a))) 5. ==[ beta ]==> (a (((a a)(a a))(a a))) REDUCED to normal form. ------ 127854/12926847. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 127855/12926874. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 127856/12926901. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))((b a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))((b a)(a (a a)))) REDUCED to normal form. ------ 127857/12926928. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 127858/12926955. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 7. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 8. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 127859/12927216. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (a ((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 127860/12927324. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a a) a)) 6. ==[ alpha ]==> ((^x.(a a))((a a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 127861/12927459. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 127862/12927477. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 127863/12927531. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((a (a (a a)))(((a a)(a a)) a)) REDUCED to normal form. ------ 127864/12927558. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) b) b)) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) b) b)) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) b) b)) 5. ==[ beta ]==> (((a (a a)) a)(b b)) REDUCED to normal form. ------ 127865/12927648. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 127866/12927810. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 127867/12927819. ------ 1. ==[ start ]==> (((a b) a)(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)(c (a (^x.(^y.y))))) REDUCED to normal form. ------ 127868/12927837. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 127869/12927846. ------ 1. ==[ start ]==> (((a a)(^a.b))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.b))(b ((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.b))(b b)) REDUCED to normal form. ------ 127870/12927900. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 127871/12927927. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 127872/12927954. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((b a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((b a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((b a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((b a)((^z.z) a))) 6. ==[ alpha ]==> ((^x.a)((b a)((^y.y) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 127873/12927981. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))(a (a a)))) REDUCED to normal form. ------ 127874/12928008. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 127875/12928197. ------ 1. ==[ start ]==> (((^a.b) b)((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) b)((a a)((^y.y) b))) 3. ==[ beta ]==> (b ((a a)((^y.y) b))) 4. ==[ alpha ]==> (b ((a a)((^x.x) b))) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 127876/12928233. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((a (a a))(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b)(^y.y))) 5. ==[ beta ]==> ((a (a a))(b (^y.y))) 6. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 127877/12928242. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 127878/12928269. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 127879/12928323. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127880/12928404. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> (b ((^x1.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 127881/12928458. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(y y))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)(((a a)(^y.y))((a a)(^y.y)))) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 127882/12928485. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(b a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 5. ==[ beta ]==> ((^y.a)(b a)) 6. ==[ alpha ]==> ((^x.a)(b a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 127883/12928539. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1) b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1) b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1) b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1) b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1) b))) 9. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) b))) 10. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) b))) 11. ==[ beta ]==> ((^y.y)((^z.z) b)) 12. ==[ alpha ]==> ((^x.x)((^y.y) b)) 13. ==[ beta ]==> ((^y.y) b) 14. ==[ alpha ]==> ((^x.x) b) 15. ==[ beta ]==> b REDUCED to normal form. ------ 127884/12928845. ------ 1. ==[ start ]==> (((^a.b) c)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)(b (a (^y.(^z.z))))) 3. ==[ beta ]==> (b (b (a (^y.(^z.z))))) 4. ==[ alpha ]==> (b (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 127885/12928881. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.y) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 127886/12928908. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 127887/12929088. ------ 1. ==[ start ]==> (((a b) c)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) c)((a (a a))(a a))) REDUCED to normal form. ------ 127888/12929115. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) b)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> (((a a) b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 127889/12929142. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(b a))) REDUCED to normal form. ------ 127890/12929160. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 127891/12929187. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 127892/12929322. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 127893/12929475. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a b))((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a b))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 127894/12929502. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 127895/12929529. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))((b a) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((b a) b)) 7. ==[ beta ]==> ((^y.y)((b a) b)) 8. ==[ alpha ]==> ((^x.x)((b a) b)) 9. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 127896/12929898. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a b)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b)(a (a a)))) REDUCED to normal form. ------ 127897/12930006. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.(a a)))(a (a a))) REDUCED to normal form. ------ 127898/12930024. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c (^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(c (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 127899/12930033. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 127900/12930231. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a)(b a))(^y.a)) 6. ==[ alpha ]==> (((a a)(b a))(^x.a)) REDUCED to normal form. ------ 127901/12930258. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))(^z.b))) REDUCED to normal form. ------ 127902/12930285. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(a a)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(a a)))) 7. ==[ beta ]==> ((a (a a))(a (^y.(a a)))) 8. ==[ alpha ]==> ((a (a a))(a (^x.(a a)))) REDUCED to normal form. ------ 127903/12930312. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 127904/12930366. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((b a) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((b a) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((b a) a)) REDUCED to normal form. ------ 127905/12930393. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a (a a)))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 127906/12930510. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 127907/12930591. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 127908/12930789. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a))((a a) a))) REDUCED to normal form. ------ 127909/12930816. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (a b))) REDUCED to normal form. ------ 127910/12930834. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(c (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(a a)))) 5. ==[ beta ]==> (c (^y.(a a))) 6. ==[ alpha ]==> (c (^x.(a a))) REDUCED to normal form. ------ 127911/12930969. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 127912/12931077. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127913/12931104. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 127914/12931149. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 127915/12931176. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a) b)) REDUCED to normal form. ------ 127916/12931203. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a b) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a b) c)) 3. ==[ beta ]==> (((a (a a))(a a))((a b) c)) REDUCED to normal form. ------ 127917/12931383. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127918/12931419. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(a a)) b)) 3. ==[ beta ]==> ((a b)((^y.(a a)) b)) 4. ==[ alpha ]==> ((a b)((^x.(a a)) b)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 127919/12931590. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (^z.(a a)))) 3. ==[ beta ]==> (b (b (^z.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 127920/12931752. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.(y y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 7. ==[ beta ]==> (b (((^y.y)(^z.z))((^y.y)(^z.z)))) 8. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 11. ==[ beta ]==> (b ((^y.y)(^z.z))) 12. ==[ alpha ]==> (b ((^x.x)(^y.y))) 13. ==[ beta ]==> (b (^y.y)) 14. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 127921/12931779. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 127922/12931833. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 127923/12931914. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 127924/12932022. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127925/12932031. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (a b))) REDUCED to normal form. ------ 127926/12932058. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((b (^y.y))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((b (^x.x))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((b (^x.x))(a (a a))) REDUCED to normal form. ------ 127927/12932094. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.b) b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.b) b)) 3. ==[ beta ]==> (((a a) b)((^y.b) b)) 4. ==[ alpha ]==> (((a a) b)((^x.b) b)) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 127928/12932283. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 127929/12932310. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 127930/12932364. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (a a))(^x1.(x1 x1)))) REDUCED to normal form. ------ 127931/12932391. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 127932/12932454. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 127933/12932589. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 127934/12932733. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((b b)((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((b b)((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((b b)((a (a a)) a)) REDUCED to normal form. ------ 127935/12932760. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(a (a (a a)))) REDUCED to normal form. ------ 127936/12932805. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 127937/12932814. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((a a) a))) REDUCED to normal form. ------ 127938/12932859. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)(a a))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)(a a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)(a a))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 127939/12932940. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)(a (a a)))) 3. ==[ beta ]==> (b ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 127940/12933048. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127941/12933174. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^c.a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a) a)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a) a)) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 127942/12933201. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 127943/12933228. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(x x)) c)) 3. ==[ beta ]==> (((a (a a))(b a))(c c)) REDUCED to normal form. ------ 127944/12933336. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 8. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 127945/12933363. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 127946/12933417. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 127947/12933444. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 127948/12933471. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> ((((a a)(a a))(a a))((^y.y) a)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x) a)) 5. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 127949/12933498. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 127950/12933588. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2)(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2)(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127951/12933669. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(c (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 127952/12933777. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127953/12933813. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b d)) 2. ==[ alpha ]==> ((((^x.x) b) c)(b d)) 3. ==[ beta ]==> ((b c)(b d)) REDUCED to normal form. ------ 127954/12933885. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 127955/12933912. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127956/12933948. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(a (a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(a (a (a a)))) REDUCED to normal form. ------ 127957/12933975. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 127958/12934047. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(a (^z.(z z)))) 3. ==[ beta ]==> (b (a (^z.(z z)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 127959/12934083. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(c b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(c b)) 3. ==[ beta ]==> (((a a)(^y.b))(c b)) 4. ==[ alpha ]==> (((a a)(^x.b))(c b)) REDUCED to normal form. ------ 127960/12934155. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127961/12934191. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(b (a (^z.z)))) 3. ==[ beta ]==> ((b (^y.a))(b (a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.a))(b (a (^y.y)))) REDUCED to normal form. ------ 127962/12934218. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 127963/12934281. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y) c)) 3. ==[ beta ]==> (((a a)(b (^x.x))) c) REDUCED to normal form. ------ 127964/12934308. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 127965/12934335. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 127966/12934362. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (^z.z)) a)) REDUCED to normal form. ------ 127967/12934389. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a a) b)) 3. ==[ beta ]==> (((^y.y)(b a))((a a) b)) 4. ==[ alpha ]==> (((^x.x)(b a))((a a) b)) 5. ==[ beta ]==> ((b a)((a a) b)) REDUCED to normal form. ------ 127968/12934416. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 127969/12934443. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.y) b)) 3. ==[ beta ]==> (((a b)(a a))((^y.y) b)) 4. ==[ alpha ]==> (((a b)(a a))((^x.x) b)) 5. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 127970/12934470. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a a)(^y.y))) 3. ==[ beta ]==> (((a a)(a b))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 127971/12934497. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a a) a)) REDUCED to normal form. ------ 127972/12934550. ------ 1. ==[ start ]==> (^a.((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (^x.((x (^y.(^z.z)))(x (x x)))) REDUCED to normal form. ------ 127973/12934551. ------ 1. ==[ start ]==> (a ((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 127974/12943359. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a))) a) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a))) a) REDUCED to normal form. ------ 127975/12943365. ------ 1. ==[ start ]==> ((^a.a)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 127976/12943392. ------ 1. ==[ start ]==> ((^a.(a a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((b a)((^y.y)(^z.z)))((b a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((b a)((^x.x)(^y.y)))((b a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((b a)(^y.y))((b a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((b a)(^x.x))((b a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((b a)(^x.x))((b a)(^z.z))) 8. ==[ alpha ]==> (((b a)(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 127977/12943419. ------ 1. ==[ start ]==> ((^a.b)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 127978/12943500. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^z.z)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 127979/12943860. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b)(^z.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 127980/12944034. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(y (^z.z)))) 3. ==[ beta ]==> ((a b)(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 127981/12944742. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((((a (^y.y))((^z.z) b))((a (^y.y))((^z.z) b)))((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> ((((a (^x.x))((^y.y) b))((a (^z.z))((^x1.x1) b)))((a (^y1.y1))((^z1.z1) b))) 5. ==[ beta ]==> ((((a (^x.x)) b)((a (^z.z))((^x1.x1) b)))((a (^y1.y1))((^z1.z1) b))) 6. ==[ alpha ]==> ((((a (^x.x)) b)((a (^y.y))((^z.z) b)))((a (^x1.x1))((^y1.y1) b))) 7. ==[ beta ]==> ((((a (^x.x)) b)((a (^y.y)) b))((a (^x1.x1))((^y1.y1) b))) 8. ==[ alpha ]==> ((((a (^x.x)) b)((a (^y.y)) b))((a (^z.z))((^x1.x1) b))) 9. ==[ beta ]==> ((((a (^x.x)) b)((a (^y.y)) b))((a (^z.z)) b)) REDUCED to normal form. ------ 127982/12945075. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 127983/12945825. ------ 1. ==[ start ]==> (((a b)(a a))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y) b))) 3. ==[ beta ]==> (((a b)(a a))(^x.b)) REDUCED to normal form. ------ 127984/12946167. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 127985/12946500. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a)(a a))(^y.((^z.z) b))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y) b))) 5. ==[ beta ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 127986/12946524. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((((a (^z.(^x1.x1)))(a a))((a (^z.(^x1.x1)))(a a)))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.(^y.y)))(a a))((a (^z.(^x1.x1)))(a a)))(^y1.y1)) REDUCED to normal form. ------ 127987/12946815. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 127988/12947706. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 127989/12947829. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 127990/12948720. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127991/12949002. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 127992/12949011. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 127993/12949035. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 127994/12949677. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 127995/12949875. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.(a b))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(a b))) REDUCED to normal form. ------ 127996/12950073. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 127997/12950460. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(^z1.b))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(^z1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.b))) REDUCED to normal form. ------ 127998/12950622. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((a a) a))) REDUCED to normal form. ------ 127999/12950793. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.((z z) z))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.((z z) z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.((y y) y))) REDUCED to normal form. ------ 128000/12950928. ------ 1. ==[ start ]==> (((a b)(a b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(^x.(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 128001/12951459. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(a (a a)))) REDUCED to normal form. ------ 128002/12951567. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 128003/12951675. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 128004/12951837. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 128005/12951900. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 128006/12952035. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 128007/12952062. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^c.(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(a a))) 3. ==[ beta ]==> (((a b)(a a))(^y.(a a))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(a a))) REDUCED to normal form. ------ 128008/12952116. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^a.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.b)) REDUCED to normal form. ------ 128009/12952170. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^a.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 128010/12952182. ------ 1. ==[ start ]==> ((a a)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 128011/12952209. ------ 1. ==[ start ]==> ((a (a a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((b a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (a a))((b a)(^y.y))) 4. ==[ alpha ]==> ((a (a a))((b a)(^x.x))) REDUCED to normal form. ------ 128012/12952236. ------ 1. ==[ start ]==> ((a b)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a b)(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 128013/12952290. ------ 1. ==[ start ]==> (((a a)(a a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((a b)((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a b)(a a))) REDUCED to normal form. ------ 128014/12952317. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 128015/12952452. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(b (^y.y)))) REDUCED to normal form. ------ 128016/12952515. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 128017/12952542. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((^y.y) b)(^z.a)) 6. ==[ alpha ]==> (((^x.x) b)(^y.a)) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 128018/12952551. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 128019/12952578. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 128020/12952596. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> (a ((b a)(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 128021/12952659. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(a a))(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a b))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 128022/12952677. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.(a a)))) REDUCED to normal form. ------ 128023/12952767. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 128024/12952785. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((((^y.y) a)(^z.z))(((^y.y) a)(^z.z))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.x1))) 7. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 128025/12952812. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 128026/12952848. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.x)(b (^y.y)))) 5. ==[ beta ]==> ((a b)(b (^y.y))) 6. ==[ alpha ]==> ((a b)(b (^x.x))) REDUCED to normal form. ------ 128027/12952866. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((b (^z.z)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((b (^z.z)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b (^z.z)) a)) 5. ==[ beta ]==> ((^y.y)((b (^z.z)) a)) 6. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 7. ==[ beta ]==> ((b (^y.y)) a) 8. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 128028/12952893. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((a (a a))(((a a)(a a)) b)) REDUCED to normal form. ------ 128029/12952920. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) b) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 5. ==[ beta ]==> (((^y.y) b) c) 6. ==[ alpha ]==> (((^x.x) b) c) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 128030/12952929. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 128031/12952956. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 128032/12953091. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 128033/12953298. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z) c)) 3. ==[ beta ]==> ((^y.y)((^z.z) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 128034/12953424. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(a b))) REDUCED to normal form. ------ 128035/12953451. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 128036/12953478. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.y)((a a)(^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.x)((a a)(^y.y)))) 9. ==[ beta ]==> ((a a)((a a)(^y.y))) 10. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 128037/12953505. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (a a))(b a))) REDUCED to normal form. ------ 128038/12953532. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a a)(a (a (^y.(^z.z))))) 8. ==[ alpha ]==> ((a a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 128039/12953559. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> ((a ((a a) a))((a (^x.x)) b)) REDUCED to normal form. ------ 128040/12953649. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (((^z.z) b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (((^x.x) b)(^y.(^z.z)))) 7. ==[ beta ]==> (a (b (^y.(^z.z)))) 8. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 128041/12953685. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))((^y1.y1) a))) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))((^x1.x1) a))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 128042/12953730. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 128043/12953766. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 128044/12953793. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)(a b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)(a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(a b))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 128045/12953811. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(^z.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(^z.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.(a a)))) 7. ==[ beta ]==> ((a a)(((a a) a)(^y.(a a)))) 8. ==[ alpha ]==> ((a a)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 128046/12953820. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 128047/12953847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128048/12953874. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((b a)(b a))) REDUCED to normal form. ------ 128049/12953892. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.b))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 128050/12954252. ------ 1. ==[ start ]==> (((a b) a)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 128051/12954279. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 128052/12954351. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x) b)) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 128053/12954477. ------ 1. ==[ start ]==> (((a a)(a b))((a b)((a a) a))) REDUCED to normal form. ------ 128054/12954504. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a) a)(a b))) REDUCED to normal form. ------ 128055/12954531. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(a a)))) 9. ==[ beta ]==> ((a (^x.x))((^z.z)(a a))) 10. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 11. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 128056/12954558. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 128057/12954585. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(b a))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(b a))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(b a))) 7. ==[ beta ]==> (a (((^y.y) a)(b a))) 8. ==[ alpha ]==> (a (((^x.x) a)(b a))) 9. ==[ beta ]==> (a (a (b a))) REDUCED to normal form. ------ 128058/12954612. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 128059/12954630. ------ 1. ==[ start ]==> (((^a.b) b)(b (^b.b))) 2. ==[ alpha ]==> (((^x.b) b)(b (^y.y))) 3. ==[ beta ]==> (b (b (^y.y))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 128060/12954639. ------ 1. ==[ start ]==> (((a b)(a a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a a))((a a)((^x.x) b))) 3. ==[ beta ]==> (((a b)(a a))((a a) b)) REDUCED to normal form. ------ 128061/12954675. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) b)(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128062/12954702. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 128063/12954756. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.(z z))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 128064/12954837. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)(^x1.b))) 3. ==[ beta ]==> (b (((a a) a)(^x1.b))) 4. ==[ alpha ]==> (b (((a a) a)(^x.b))) REDUCED to normal form. ------ 128065/12954846. ------ 1. ==[ start ]==> (((a b) b)((^c.a)(a b))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(a b))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 128066/12954873. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 128067/12954900. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 128068/12954927. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 128069/12954972. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.y1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 10. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 128070/12954981. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 128071/12955008. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128072/12955035. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 128073/12955053. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((b a) c)) 3. ==[ beta ]==> (b ((b a) c)) REDUCED to normal form. ------ 128074/12955278. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 128075/12955287. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 128076/12955314. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(a ((^y.y) b))) 3. ==[ beta ]==> (((a a)(a a))(a ((^y.y) b))) 4. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) b))) 5. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 128077/12955341. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 128078/12955629. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.z))) REDUCED to normal form. ------ 128079/12955656. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 128080/12955674. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 128081/12955710. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128082/12955737. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 128083/12955755. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 128084/12955764. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 128085/12955818. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 128086/12956466. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 128087/12956520. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 128088/12956538. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((b a)(^y.y))) 3. ==[ beta ]==> (b ((b a)(^y.y))) 4. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 128089/12956574. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 128090/12956601. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 128091/12956646. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 128092/12957105. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 128093/12957357. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 128094/12957402. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (b ((a b)(^x1.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 128095/12957411. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 128096/12957465. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 128097/12957510. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128098/12957519. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 128099/12957537. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 128100/12957816. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128101/12957825. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 128102/12957852. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(a a))) 5. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 128103/12957861. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128104/12957888. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.b) c)) 3. ==[ beta ]==> ((^y.y)((^z1.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 128105/12958131. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((a a) a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128106/12958140. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 128107/12958167. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 128108/12958185. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 128109/12958194. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 128110/12958221. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 128111/12958266. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 128112/12958302. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((^y.(a a))((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(a a))(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128113/12958329. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 128114/12958347. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 128115/12958356. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 128116/12958383. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 128117/12958410. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 128118/12958464. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 128119/12958491. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((b (^x.x))(^z.(a a))) 6. ==[ alpha ]==> ((b (^x.x))(^y.(a a))) REDUCED to normal form. ------ 128120/12958527. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a b)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a b)(a a))) 3. ==[ beta ]==> (((a a) b)((a b)(a a))) REDUCED to normal form. ------ 128121/12958554. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((a a) a)(a (^x1.x1)))) REDUCED to normal form. ------ 128122/12958581. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (b a))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (b a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((a (b a))((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((a (b a))((^y.y) a)) 8. ==[ alpha ]==> ((a (b a))((^x.x) a)) 9. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 128123/12958608. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 128124/12958635. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)(a ((^y.y)(^z.z)))) 10. ==[ alpha ]==> ((a a)(a ((^x.x)(^y.y)))) 11. ==[ beta ]==> ((a a)(a (^y.y))) 12. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 128125/12958662. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 128126/12958689. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a)(a b))) REDUCED to normal form. ------ 128127/12958887. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 128128/12959130. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128129/12959247. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.a))) REDUCED to normal form. ------ 128130/12959274. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a (^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.b))) REDUCED to normal form. ------ 128131/12959292. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((a a) a)(^y.y))) 3. ==[ beta ]==> (((b a)(b a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((b a)(b a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 128132/12959355. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a ((^z.z) a))) 6. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a ((^y.y) a))) 7. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 128133/12959373. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 128134/12959382. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 128135/12959436. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 128136/12959481. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.y1)(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128137/12959490. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 128138/12959517. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.a)(^x1.a))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)(^x1.a))) 7. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 128139/12959544. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 128140/12959580. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(b (^y.y))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(b (^x.x))) REDUCED to normal form. ------ 128141/12959607. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a ((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a ((a a) a))) REDUCED to normal form. ------ 128142/12959634. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(a a))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 128143/12959661. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 128144/12959688. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 128145/12959715. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 128146/12959742. ------ 1. ==[ start ]==> (((a b)(a b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)(a b))((a a)(^y.y))) 4. ==[ alpha ]==> (((a b)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 128147/12960102. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a) c)) 3. ==[ beta ]==> (b ((^z.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 128148/12960210. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128149/12960246. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b c)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b c)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 128150/12960273. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(a (a a))) REDUCED to normal form. ------ 128151/12960318. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a) b)) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a) b)) 5. ==[ beta ]==> ((b (^x.x))(a b)) REDUCED to normal form. ------ 128152/12960381. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 128153/12960399. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(y1 y1)) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 128154/12960489. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a (^y.(y y)))) REDUCED to normal form. ------ 128155/12960516. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.a)(a a))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(a a))) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 128156/12960588. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128157/12960597. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 128158/12960624. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 128159/12960651. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 128160/12960714. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 128161/12960768. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(b b)) 3. ==[ beta ]==> ((a ((^y.y) b))(b b)) 4. ==[ alpha ]==> ((a ((^x.x) b))(b b)) 5. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 128162/12960822. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(b (a a))) 3. ==[ beta ]==> (((^y.y)(b a))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(b a))(b (a a))) 5. ==[ beta ]==> ((b a)(b (a a))) REDUCED to normal form. ------ 128163/12960849. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 128164/12960876. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a a)(a a))) 3. ==[ beta ]==> (((a b)(a a))((a a)(a a))) REDUCED to normal form. ------ 128165/12960903. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(b a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(b a)) 3. ==[ beta ]==> (((a a)(a b))(b a)) REDUCED to normal form. ------ 128166/12960930. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(a b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a b)) REDUCED to normal form. ------ 128167/12960984. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(a a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a a)) REDUCED to normal form. ------ 128168/12969801. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a))) b) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a))) b) REDUCED to normal form. ------ 128169/12969825. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128170/12969906. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 128171/12970068. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> (^y.((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> (^x.((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 128172/12970410. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.(y y))(a (^z.(^x1.x1))))(((^y.(y y))(a (^z.(^x1.x1))))((^y.(y y))(a (^z.(^x1.x1)))))) 4. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.(x1 x1))(a (^y1.(^z1.z1))))((^x2.(x2 x2))(a (^y2.(^z2.z2)))))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.(x1 x1))(a (^y1.(^z1.z1))))((^x2.(x2 x2))(a (^y2.(^z2.z2)))))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.(y1 y1))(a (^z1.(^x2.x2))))((^y2.(y2 y2))(a (^z2.(^x3.x3)))))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((a (^z1.(^x2.x2)))(a (^z1.(^x2.x2))))((^y2.(y2 y2))(a (^z2.(^x3.x3)))))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((a (^y1.(^z1.z1)))(a (^x2.(^y2.y2))))((^z2.(z2 z2))(a (^x3.(^y3.y3)))))) 9. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((a (^y1.(^z1.z1)))(a (^x2.(^y2.y2))))((a (^x3.(^y3.y3)))(a (^x3.(^y3.y3)))))) 10. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((a (^y1.(^z1.z1)))(a (^x2.(^y2.y2))))((a (^z2.(^x3.x3)))(a (^y3.(^z3.z3)))))) REDUCED to normal form. ------ 128173/12970485. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 128174/12971232. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^y1.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 5. ==[ beta ]==> (^y.((a a)(a a))) 6. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 128175/12971601. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.((a a)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.((a a)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.((a a)(a a)))) REDUCED to normal form. ------ 128176/12972093. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.((((^z.z)(a a))((^x1.x1)(^y1.y1)))(((^z.z)(a a))((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a))((^z.z)(^x1.x1)))(((^y1.y1)(a a))((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (^x.(((a a)((^z.z)(^x1.x1)))(((^y1.y1)(a a))((^z1.z1)(^x2.x2))))) 6. ==[ alpha ]==> (^x.(((a a)((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1))))) 7. ==[ beta ]==> (^x.(((a a)(^z.z))(((^x1.x1)(a a))((^y1.y1)(^z1.z1))))) 8. ==[ alpha ]==> (^x.(((a a)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1))))) 9. ==[ beta ]==> (^x.(((a a)(^y.y))((a a)((^x1.x1)(^y1.y1))))) 10. ==[ alpha ]==> (^x.(((a a)(^y.y))((a a)((^z.z)(^x1.x1))))) 11. ==[ beta ]==> (^x.(((a a)(^y.y))((a a)(^x1.x1)))) 12. ==[ alpha ]==> (^x.(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 128177/12972618. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 128178/12972951. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(^z.z))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 128179/12973572. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 128180/12973731. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(^z.a))) 3. ==[ eta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 128181/12974436. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(z a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(z a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y a))) REDUCED to normal form. ------ 128182/12975219. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 128183/12975462. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 128184/12976353. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 128185/12976485. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.a)((^z.z)(^x1.x1)))((^y.a)((^z.z)(^x1.x1))))(((^y.a)((^z.z)(^x1.x1)))((^y.a)((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.a)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1))))(((^x2.a)((^y2.y2)(^z2.z2)))((^x3.a)((^y3.y3)(^z3.z3))))) 5. ==[ beta ]==> ((a ((^x1.a)((^y1.y1)(^z1.z1))))(((^x2.a)((^y2.y2)(^z2.z2)))((^x3.a)((^y3.y3)(^z3.z3))))) 6. ==[ alpha ]==> ((a ((^x.a)((^y.y)(^z.z))))(((^x1.a)((^y1.y1)(^z1.z1)))((^x2.a)((^y2.y2)(^z2.z2))))) 7. ==[ beta ]==> ((a a)(((^x1.a)((^y1.y1)(^z1.z1)))((^x2.a)((^y2.y2)(^z2.z2))))) 8. ==[ alpha ]==> ((a a)(((^x.a)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1))))) 9. ==[ beta ]==> ((a a)(a ((^x1.a)((^y1.y1)(^z1.z1))))) 10. ==[ alpha ]==> ((a a)(a ((^x.a)((^y.y)(^z.z))))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 128186/12977073. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 128187/12977244. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.a))) REDUCED to normal form. ------ 128188/12977541. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 128189/12977565. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 128190/12977910. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 128191/12978018. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.d)) 3. ==[ beta ]==> ((a (^y.y))(^z.d)) 4. ==[ alpha ]==> ((a (^x.x))(^y.d)) REDUCED to normal form. ------ 128192/12978036. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(y1 (y1 y1)))) REDUCED to normal form. ------ 128193/12978117. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (b (^z.((^x1.x1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 128194/12978378. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 128195/12978432. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 128196/12978486. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 128197/12978540. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 128198/12978567. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(a a))) REDUCED to normal form. ------ 128199/12978621. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 128200/12978651. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 128201/12978678. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 128202/12978705. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))((a a) a))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 128203/12978732. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 128204/12978786. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128205/12978813. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 128206/12978840. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 128207/12978867. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 128208/12978894. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 128209/12979011. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.a))) REDUCED to normal form. ------ 128210/12979038. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 128211/12979065. ------ 1. ==[ start ]==> (((a a)(^b.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 128212/12979119. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 128213/12979155. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 128214/12979209. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 128215/12979227. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((a (a a))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 128216/12979236. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 128217/12979335. ------ 1. ==[ start ]==> (((a (a a)) a)((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a)) a)((b (^x.x)) a)) REDUCED to normal form. ------ 128218/12979362. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(a a)) b)) REDUCED to normal form. ------ 128219/12979389. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) b) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b c)) REDUCED to normal form. ------ 128220/12979506. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.b))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 128221/12979533. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 128222/12979677. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b ((a a)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)(b ((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)(b ((a a)(a a)))) 7. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 128223/12979731. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a))(a a))) 5. ==[ beta ]==> ((^y.y)(((a a)(a a))(a a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 7. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 128224/12979740. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 128225/12979758. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 128226/12979767. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) c) REDUCED to normal form. ------ 128227/12979812. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b a)(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(a (a a)))) REDUCED to normal form. ------ 128228/12980055. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 128229/12980145. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.a))) 6. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 128230/12980172. ------ 1. ==[ start ]==> ((((a a) a) a)((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 128231/12980226. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.a))) REDUCED to normal form. ------ 128232/12980253. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)(^z.b))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)(^z.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.b))) REDUCED to normal form. ------ 128233/12980280. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 128234/12980370. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 128235/12980397. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 128236/12980424. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)((a a)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))((a a)(a a))) REDUCED to normal form. ------ 128237/12980478. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 128238/12980505. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 128239/12980730. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a b)(c (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a b)(c (a (^x.(^y.y))))) REDUCED to normal form. ------ 128240/12980757. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b ((^z.z) b))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z) b))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 128241/12980793. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 128242/12980811. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) b)(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) b)(a a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(b (a a))) REDUCED to normal form. ------ 128243/12980820. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y) b)) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 128244/12980847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.(^z1.z1))) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.(^z1.z1))) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1))) c)) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1))) c)) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1))) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 128245/12980892. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 128246/12980919. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 128247/12981099. ------ 1. ==[ start ]==> (((a b)(a a))(b (^b.b))) 2. ==[ alpha ]==> (((a b)(a a))(b (^x.x))) REDUCED to normal form. ------ 128248/12981306. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a b) b)(((a a) a)(^x.b))) REDUCED to normal form. ------ 128249/12981333. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (((a a) a)(^y.(a a))) 8. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 128250/12981360. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 128251/12981441. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 128252/12981468. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1) b) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) b) a)) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) b) a)) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) b) a)) 7. ==[ beta ]==> ((((^y.y) b) a)(((^y.y) b) a)) 8. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) b) a)) 9. ==[ beta ]==> ((b a)(((^y.y) b) a)) 10. ==[ alpha ]==> ((b a)(((^x.x) b) a)) 11. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 128253/12981495. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 128254/12981522. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((b a) c)) REDUCED to normal form. ------ 128255/12981585. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 128256/12981612. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 128257/12981666. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 128258/12981747. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 128259/12981774. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 128260/12981837. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 128261/12981972. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (b ((^y.y)(a b))) 6. ==[ alpha ]==> (b ((^x.x)(a b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 128262/12982053. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(b a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(b a))) REDUCED to normal form. ------ 128263/12982080. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 128264/12982116. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 128265/12982170. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128266/12982197. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 128267/12982224. ------ 1. ==[ start ]==> (((a b)(^b.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 128268/12982278. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.b)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 128269/12982314. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 128270/12982341. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 128271/12982368. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 128272/12982395. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 128273/12982422. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.z1))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 10. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 128274/12982476. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 128275/12982503. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 128276/12982530. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 128277/12982557. ------ 1. ==[ start ]==> ((a (b a))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 128278/12982647. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c ((a a)(^z.z)))) 5. ==[ beta ]==> (b (c ((a a)(^z.z)))) 6. ==[ alpha ]==> (b (c ((a a)(^x.x)))) REDUCED to normal form. ------ 128279/12982728. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((b a)(a a))) 3. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 128280/12982836. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b a)(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b a)(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b a)(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((b a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 128281/12982863. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 128282/12982917. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(a b))(a ((^y.y)(a a)))) 6. ==[ alpha ]==> (((a b)(a b))(a ((^x.x)(a a)))) 7. ==[ beta ]==> (((a b)(a b))(a (a a))) REDUCED to normal form. ------ 128283/12983007. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((b a)(^y.y))) REDUCED to normal form. ------ 128284/12983034. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 128285/12983061. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.a))) REDUCED to normal form. ------ 128286/12983124. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 128287/12983151. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 128288/12983178. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(a b))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(a b))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(a b))) 7. ==[ beta ]==> ((a (a a))((a b)(a b))) REDUCED to normal form. ------ 128289/12983205. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 128290/12983232. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 128291/12983259. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)(b a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(b a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(b a)) REDUCED to normal form. ------ 128292/12983340. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 128293/12983484. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c ((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)(c ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)(c ((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)(c (a a))) REDUCED to normal form. ------ 128294/12983565. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> (b (((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 128295/12983673. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128296/12983700. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))((a a) a))) REDUCED to normal form. ------ 128297/12983727. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(a b)) 6. ==[ alpha ]==> (((^x.x) a)(a b)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 128298/12983781. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)((a a)(^y.y)))) 7. ==[ beta ]==> (((a a)(a a))((a a)((a a)(^y.y)))) 8. ==[ alpha ]==> (((a a)(a a))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 128299/12983817. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.b)(((a a)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 128300/12983871. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 128301/12983898. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 128302/12983925. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 128303/12983979. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (^y1.b))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.b))) REDUCED to normal form. ------ 128304/12984015. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 128305/12984042. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(^y.y))) REDUCED to normal form. ------ 128306/12984096. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 128307/12984123. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a b)((^y.b)(^z.a))) 6. ==[ alpha ]==> ((a b)((^x.b)(^y.a))) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 128308/12984177. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 128309/12984231. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.b))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 128310/12984321. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))(a a)) 6. ==[ alpha ]==> (((^x.x)(a a))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 128311/12984348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a b)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 128312/12984483. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(a b))) 3. ==[ beta ]==> (b ((a (^z.z))(a b))) 4. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 128313/12984600. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((a a) a)(^z.a))) REDUCED to normal form. ------ 128314/12984627. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((b a)(^y.(y y))) 8. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 128315/12984654. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 128316/12984762. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a)) a)) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a)) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128317/12984789. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a b) b)) REDUCED to normal form. ------ 128318/12984816. ------ 1. ==[ start ]==> (((a b)(^c.a))(((a a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a) c)) REDUCED to normal form. ------ 128319/12985122. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(c (^x.a))) REDUCED to normal form. ------ 128320/12985149. ------ 1. ==[ start ]==> (((a b)((a a) a))(b (^a.b))) 2. ==[ alpha ]==> (((a b)((a a) a))(b (^x.b))) REDUCED to normal form. ------ 128321/12985176. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (^z.(a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 128322/12985203. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.b)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) b) REDUCED to normal form. ------ 128323/12985257. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 128324/12985284. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((b (a a))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((b (a a))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((b (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 128325/12985311. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 128326/12985590. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128327/12985626. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((b b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((b b)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 128328/12985671. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (a (a a)))) REDUCED to normal form. ------ 128329/12985698. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 128330/12985815. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (a a))(^y.a))) REDUCED to normal form. ------ 128331/12985842. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.b))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.b))(a (^y.(y y)))) REDUCED to normal form. ------ 128332/12985896. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.a))) REDUCED to normal form. ------ 128333/12985950. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.y1) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1) b)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) b) REDUCED to normal form. ------ 128334/12985977. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (a a)) c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (a a)) c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (a a)) c)) REDUCED to normal form. ------ 128335/12986040. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 128336/12986067. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.a)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.a)) REDUCED to normal form. ------ 128337/12986202. ------ 1. ==[ start ]==> (((a b)(a b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 128338/12986256. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 128339/12986310. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 128340/12986337. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 128341/12986364. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 128342/12986391. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 128343/12986481. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b (a (a a)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b (a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128344/12986562. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (b (((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (b (a (a (^y.y)))) 6. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 128345/12986706. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((b c)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((b c)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 128346/12986733. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 128347/12986859. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(a (a (a a)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(a (a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (a (a a)))) REDUCED to normal form. ------ 128348/12986868. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 128349/12986940. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a a)((^z.z) a))) 3. ==[ beta ]==> (b ((a a)((^z.z) a))) 4. ==[ alpha ]==> (b ((a a)((^x.x) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 128350/12986976. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.b))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.b))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 128351/12987057. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a a)) REDUCED to normal form. ------ 128352/12987084. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (^z.z)) b)) 3. ==[ beta ]==> ((b (^y.a))((a (^z.z)) b)) 4. ==[ alpha ]==> ((b (^x.a))((a (^y.y)) b)) REDUCED to normal form. ------ 128353/12987174. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 128354/12987201. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a (^y.a))) REDUCED to normal form. ------ 128355/12987228. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(a a))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(a a))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 128356/12987255. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 128357/12987282. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 128358/12987309. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 128359/12987336. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(b (^y.y))) 3. ==[ beta ]==> (((a b)(a a))(b (^y.y))) 4. ==[ alpha ]==> (((a b)(a a))(b (^x.x))) REDUCED to normal form. ------ 128360/12987363. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 128361/12987390. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 128362/12987444. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a (^z.z))) REDUCED to normal form. ------ 128363/12996546. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (^z.(a a)))) 3. ==[ beta ]==> (^y.(c (^z.(a a)))) 4. ==[ alpha ]==> (^x.(c (^y.(a a)))) REDUCED to normal form. ------ 128364/12996585. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 128365/12996618. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b (^z.z))(^x1.x1))) 3. ==[ eta ]==> ((^y.y)((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 128366/12996789. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a))(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 128367/12996888. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^y.(^z.(^x1.x1))))(((a (a a))(^y.(^z.(^x1.x1))))((a (a a))(^y.(^z.(^x1.x1)))))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((a (a a))(^x1.(^y1.(^z1.z1))))((a (a a))(^x2.(^y2.(^z2.z2)))))) REDUCED to normal form. ------ 128368/12996981. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 7. ==[ beta ]==> (^y.(y (^z.z))) 8. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 128369/12997368. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(b (^z.z)))) 5. ==[ beta ]==> (a (^y.(b (^z.z)))) 6. ==[ alpha ]==> (a (^x.(b (^y.y)))) REDUCED to normal form. ------ 128370/12998004. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 128371/12998448. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((z z)(z z)))) REDUCED to normal form. ------ 128372/12998790. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(y y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128373/12999453. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((((^z.z) a)((^z.z) a))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.z)) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.z)) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 128374/12999744. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 128375/13000635. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(b a))) REDUCED to normal form. ------ 128376/13000653. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 128377/13000758. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.b)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 128378/13001445. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 128379/13001649. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128380/13001697. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 128381/13001964. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 128382/13002963. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((((^y.y) a)(^z.(^x1.x1)))(((^y.y) a)(^z.(^x1.x1))))((((^y.y) a)(^z.(^x1.x1)))(((^y.y) a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1))))((((^x2.x2) a)(^y2.(^z2.z2)))(((^x3.x3) a)(^y3.(^z3.z3))))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1))))((((^x2.x2) a)(^y2.(^z2.z2)))(((^x3.x3) a)(^y3.(^z3.z3))))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1))))((((^z1.z1) a)(^x2.(^y2.y2)))(((^z2.z2) a)(^x3.(^y3.y3))))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^x1.(^y1.y1))))((((^z1.z1) a)(^x2.(^y2.y2)))(((^z2.z2) a)(^x3.(^y3.y3))))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((((^y1.y1) a)(^z1.(^x2.x2)))(((^y2.y2) a)(^z2.(^x3.x3))))) 9. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^z1.(^x2.x2)))(((^y2.y2) a)(^z2.(^x3.x3))))) 10. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.(^z1.z1)))(((^x2.x2) a)(^y2.(^z2.z2))))) 11. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.(^z1.z1)))(a (^y2.(^z2.z2))))) 12. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.(^z1.z1)))(a (^x2.(^y2.y2))))) REDUCED to normal form. ------ 128383/13003407. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.b))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.b))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.b))) REDUCED to normal form. ------ 128384/13004043. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 128385/13004514. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) REDUCED to normal form. ------ 128386/13004523. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(x1 (x1 x1)))) REDUCED to normal form. ------ 128387/13004604. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 128388/13004703. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128389/13004856. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.c)) REDUCED to normal form. ------ 128390/13005018. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.y)) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 128391/13005099. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.a)) REDUCED to normal form. ------ 128392/13005147. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> (a ((a (^y.(^z.z)))(a (a a)))) 4. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 128393/13005174. ------ 1. ==[ start ]==> (((a a) a)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((b a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a) a)((b a)(^y.y))) 4. ==[ alpha ]==> (((a a) a)((b a)(^x.x))) REDUCED to normal form. ------ 128394/13005201. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 128395/13005228. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(a b))) 3. ==[ beta ]==> (b (((^y.y)(a a))(a b))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a b))) 5. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 128396/13005255. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a b)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 128397/13005282. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 128398/13005309. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(b a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(b a))) 5. ==[ beta ]==> (((a (^x.x)) a)(b a)) REDUCED to normal form. ------ 128399/13005336. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 128400/13005363. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 128401/13005381. ------ 1. ==[ start ]==> ((a (^b.a))(c (^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(c (^y.(a a)))) REDUCED to normal form. ------ 128402/13005417. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)(b (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)(b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 128403/13005453. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((b (^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)((b (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a a)((b (^x.x))(^y.y))) REDUCED to normal form. ------ 128404/13005543. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(a (a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a (a a)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 128405/13005624. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(a b))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 128406/13005642. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a b)(^y.(a a)))) 3. ==[ beta ]==> (((a a) a)((a b)(^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)((a b)(^x.(a a)))) REDUCED to normal form. ------ 128407/13005723. ------ 1. ==[ start ]==> ((a (a (a a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 128408/13005732. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.(y y))(a (^z.(^x1.x1))))((^y.(y y))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(y1 y1))(a (^z1.(^x2.x2))))) 9. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^z1.(^x2.x2)))(a (^z1.(^x2.x2))))) 10. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.(^z1.z1)))(a (^x2.(^y2.y2))))) REDUCED to normal form. ------ 128409/13005759. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 128410/13005813. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(b (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(b (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(b (^z.z)))) 7. ==[ beta ]==> ((^y.y)(b (^z.z))) 8. ==[ alpha ]==> ((^x.x)(b (^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 128411/13005921. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 128412/13006110. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 128413/13006173. ------ 1. ==[ start ]==> (((a (a a)) b)(b ((a a)(a a)))) REDUCED to normal form. ------ 128414/13006200. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(a (b (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)(a (b (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)(a (b (^y.y)))) 5. ==[ beta ]==> (a (a (b (^y.y)))) 6. ==[ alpha ]==> (a (a (b (^x.x)))) REDUCED to normal form. ------ 128415/13006227. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 128416/13006254. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (a (^z.z)))) REDUCED to normal form. ------ 128417/13006281. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 128418/13006308. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a)(a (a a)))) REDUCED to normal form. ------ 128419/13006335. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 128420/13006542. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 128421/13006596. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))(a a))) 5. ==[ beta ]==> (a ((^z.(a a))(a a))) 6. ==[ alpha ]==> (a ((^x.(a a))(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 128422/13006758. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)(a b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)(a b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(a b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(a b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(a b))) 7. ==[ beta ]==> ((a a)((^y.b)(a b))) 8. ==[ alpha ]==> ((a a)((^x.b)(a b))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 128423/13006839. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(b a))) 3. ==[ beta ]==> ((a (^x.b))((b a)(b a))) REDUCED to normal form. ------ 128424/13006857. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)((a a) a))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)((a a) a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 128425/13006884. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 128426/13006938. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a)(a a)) a)) 3. ==[ beta ]==> (((a (a a)) a)(((a a)(a a)) a)) REDUCED to normal form. ------ 128427/13006965. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) b) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b) b)) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) b) b)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) b) b)) 7. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 128428/13007109. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)(^x1.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.b))) IRREDUCIBLE: cycle. ------ 128429/13007217. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 128430/13007226. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (a (^y.(^z.z))))) REDUCED to normal form. ------ 128431/13007244. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128432/13007280. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((a a)(a a)))) REDUCED to normal form. ------ 128433/13007307. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(b (a a))) REDUCED to normal form. ------ 128434/13007334. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 128435/13007361. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 128436/13007388. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 128437/13007577. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 128438/13007622. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.(a a)))) 3. ==[ beta ]==> ((^y.(a a))(a (^z.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(a (^y.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128439/13007649. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128440/13007784. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)((a a) a))) 3. ==[ beta ]==> (b ((^x1.b)((a a) a))) 4. ==[ alpha ]==> (b ((^x.b)((a a) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 128441/13007838. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 128442/13007865. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.(y y))((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 7. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 128443/13007919. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 11. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 12. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128444/13008000. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 128445/13008225. ------ 1. ==[ start ]==> (((^a.b) c)(c (b a))) 2. ==[ alpha ]==> (((^x.b) c)(c (b a))) 3. ==[ beta ]==> (b (c (b a))) REDUCED to normal form. ------ 128446/13008288. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y) a)) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 128447/13008468. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> (((a b) c)((^y.y)(a b))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(a b))) 5. ==[ beta ]==> (((a b) c)(a b)) REDUCED to normal form. ------ 128448/13008495. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) b)((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) b)((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) b)((a (a a))(a a))) REDUCED to normal form. ------ 128449/13008522. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((a a)(^y.y)))) REDUCED to normal form. ------ 128450/13008567. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 128451/13008576. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 128452/13008621. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 128453/13008702. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 128454/13008801. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 128455/13008882. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 128456/13008909. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1))) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1))) a)) 7. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) a)) 8. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 9. ==[ beta ]==> ((a (^y.(^z.z))) a) 10. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 128457/13008936. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((b a) b)) REDUCED to normal form. ------ 128458/13008963. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a)(^y.y)) c)) 3. ==[ beta ]==> (((a b) a)(((a a)(^y.y)) c)) 4. ==[ alpha ]==> (((a b) a)(((a a)(^x.x)) c)) REDUCED to normal form. ------ 128459/13009134. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 128460/13009278. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)((^y.y) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)((a a) a)) REDUCED to normal form. ------ 128461/13009386. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (a a))(a b))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a))(a b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(a b))) REDUCED to normal form. ------ 128462/13009413. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.b))(a (a a))) REDUCED to normal form. ------ 128463/13009467. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(b a))) REDUCED to normal form. ------ 128464/13009485. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b (a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 128465/13009593. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 128466/13009611. ------ 1. ==[ start ]==> (((a a)(b a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 128467/13009665. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (a a))(^z.b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))((a (a a))(^y.b))) 6. ==[ alpha ]==> ((a (a a))((a (a a))(^x.b))) REDUCED to normal form. ------ 128468/13009692. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a b))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a b))(a (^x.(a a)))) REDUCED to normal form. ------ 128469/13009773. ------ 1. ==[ start ]==> (((a b)(a (a a)))((b a) a)) REDUCED to normal form. ------ 128470/13009800. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(^y.y)) b)) 5. ==[ beta ]==> (((a a) a)(((a a)(^y.y)) b)) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 128471/13009971. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((a a)((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 128472/13010169. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 128473/13010196. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (a a))((a a) a))) REDUCED to normal form. ------ 128474/13010268. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(b (^y.(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 128475/13010277. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 128476/13010349. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 128477/13010457. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128478/13010484. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(a b))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 128479/13010502. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 128480/13010529. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 128481/13010556. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 128482/13010583. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(a a)) b)) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a)) b)) 5. ==[ beta ]==> (((a (a a))(a a))((a a) b)) REDUCED to normal form. ------ 128483/13010610. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a b) c)) 3. ==[ beta ]==> (((^y.y)(a b))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(a b))((a b) c)) 5. ==[ beta ]==> ((a b)((a b) c)) REDUCED to normal form. ------ 128484/13010763. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128485/13010799. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 128486/13010970. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (^z.b))) 3. ==[ beta ]==> (b (c (^z.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 128487/13011078. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.b)(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.b)(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128488/13011132. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 128489/13011159. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128490/13011213. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 128491/13011294. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 128492/13011402. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128493/13011438. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b (a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(b (a b))) 3. ==[ beta ]==> ((b (^y.y))(b (a b))) 4. ==[ alpha ]==> ((b (^x.x))(b (a b))) REDUCED to normal form. ------ 128494/13011474. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a) b)((^y.(a a)) a)) 4. ==[ alpha ]==> (((a a) b)((^x.(a a)) a)) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 128495/13011501. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.b) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) b) REDUCED to normal form. ------ 128496/13011528. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a) c)) 3. ==[ beta ]==> ((a (b a))((^y.a) c)) 4. ==[ alpha ]==> ((a (b a))((^x.a) c)) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 128497/13011690. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a b)(^y.y))) REDUCED to normal form. ------ 128498/13011744. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.a)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.a)) REDUCED to normal form. ------ 128499/13011771. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((b (a a))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> ((b (a a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 128500/13011798. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 128501/13011834. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128502/13011969. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 128503/13012113. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b b)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((b b)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((b b)(a (^y.y))) 8. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 128504/13012140. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (a a))((^x.x) a))) 3. ==[ beta ]==> ((((a a)(a a)) a)((a (a a)) a)) REDUCED to normal form. ------ 128505/13012185. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 128506/13012194. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 128507/13012221. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a a)((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)((a a) a))) REDUCED to normal form. ------ 128508/13012239. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a (^y.b))) 3. ==[ beta ]==> (((b a)(b a))(a (^y.b))) 4. ==[ alpha ]==> (((b a)(b a))(a (^x.b))) REDUCED to normal form. ------ 128509/13012320. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 128510/13012608. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 128511/13012743. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 128512/13012797. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.a))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.a))) REDUCED to normal form. ------ 128513/13012824. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 128514/13012851. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 128515/13012878. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a (b (^x.x)))((^z.z) a)) 4. ==[ alpha ]==> ((a (b (^x.x)))((^y.y) a)) 5. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 128516/13012968. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(^z2.(z2 z2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))(^z2.(z2 z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128517/13013157. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(y1 y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128518/13013193. ------ 1. ==[ start ]==> ((((^a.a) b) c)(c c)) 2. ==[ alpha ]==> ((((^x.x) b) c)(c c)) 3. ==[ beta ]==> ((b c)(c c)) REDUCED to normal form. ------ 128519/13013265. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)(^z.z))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((b (^x.x))(^z.z)) 8. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 128520/13013292. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 128521/13013328. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 128522/13013346. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)(^z1.(z1 z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.(z1 z1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(y1 y1))) REDUCED to normal form. ------ 128523/13013355. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (a (a a)))) REDUCED to normal form. ------ 128524/13013427. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 128525/13013436. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 128526/13013535. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128527/13013571. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(c (a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(c (a a))) 3. ==[ beta ]==> ((b (^y.a))(c (a a))) 4. ==[ alpha ]==> ((b (^x.a))(c (a a))) REDUCED to normal form. ------ 128528/13013598. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 128529/13013661. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 128530/13013715. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) b))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a b)((a (^y.y))(^z.z))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 128531/13013742. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 128532/13013769. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (^z.z)) a)) 3. ==[ beta ]==> (((^y.y)(b a))((a (^z.z)) a)) 4. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y)) a)) 5. ==[ beta ]==> ((b a)((a (^y.y)) a)) 6. ==[ alpha ]==> ((b a)((a (^x.x)) a)) REDUCED to normal form. ------ 128533/13013796. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a a) b)) REDUCED to normal form. ------ 128534/13013823. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 128535/13013850. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.y) b)) 3. ==[ beta ]==> (((a a)(a b))((^y.y) b)) 4. ==[ alpha ]==> (((a a)(a b))((^x.x) b)) 5. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 128536/13013877. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a a)(^y.y))) REDUCED to normal form. ------ 128537/13013931. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a))) a) REDUCED to normal form. ------ 128538/13013957. ------ 1. ==[ start ]==> (^a.(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (^x.(((^y.y) b)((^z.z) x))) 3. ==[ beta ]==> (^x.(b ((^z.z) x))) 4. ==[ alpha ]==> (^x.(b ((^y.y) x))) 5. ==[ beta ]==> (^x.(b x)) 6. ==[ eta ]==> b REDUCED to normal form. ------ 128539/13013958. ------ 1. ==[ start ]==> (a (((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (a (((^x.x) b)((^y.y) a))) 3. ==[ beta ]==> (a (b ((^y.y) a))) 4. ==[ alpha ]==> (a (b ((^x.x) a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 128540/13017120. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((^z.((^x1.x1) b))(^z.((^x1.x1) b)))(^y.y)) 4. ==[ alpha ]==> (((^x.((^y.y) b))(^z.((^x1.x1) b)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y) b)(^y1.y1)) 6. ==[ alpha ]==> (((^x.x) b)(^y.y)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 128541/13019631. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 128542/13022793. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a)) a) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a)) a) 3. ==[ beta ]==> ((b ((^y.y) a)) a) 4. ==[ alpha ]==> ((b ((^x.x) a)) a) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 128543/13022799. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 4. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 128544/13022826. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (a a)))((a (^y.(^z.z)))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (^z.(^x1.x1)))(a (a a)))) REDUCED to normal form. ------ 128545/13022853. ------ 1. ==[ start ]==> ((^a.b)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 128546/13022934. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)((^z.z)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.y)) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 128547/13023294. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 128548/13023495. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 128549/13024176. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((((^y.y) a)(a (^z.(^x1.x1))))(((^y.y) a)(a (^z.(^x1.x1)))))(((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1) a)(a (^y1.(^z1.z1)))))(((^x2.x2) a)(a (^y2.(^z2.z2))))) 5. ==[ beta ]==> (((a (a (^y.(^z.z))))(((^x1.x1) a)(a (^y1.(^z1.z1)))))(((^x2.x2) a)(a (^y2.(^z2.z2))))) 6. ==[ alpha ]==> (((a (a (^x.(^y.y))))(((^z.z) a)(a (^x1.(^y1.y1)))))(((^z1.z1) a)(a (^x2.(^y2.y2))))) 7. ==[ beta ]==> (((a (a (^x.(^y.y))))(a (a (^x1.(^y1.y1)))))(((^z1.z1) a)(a (^x2.(^y2.y2))))) 8. ==[ alpha ]==> (((a (a (^x.(^y.y))))(a (a (^z.(^x1.x1)))))(((^y1.y1) a)(a (^z1.(^x2.x2))))) 9. ==[ beta ]==> (((a (a (^x.(^y.y))))(a (a (^z.(^x1.x1)))))(a (a (^z1.(^x2.x2))))) 10. ==[ alpha ]==> (((a (a (^x.(^y.y))))(a (a (^z.(^x1.x1)))))(a (a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 128550/13024953. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 128551/13025283. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)((^z.z) b))) 3. ==[ beta ]==> ((^y.y)(((a a)((^z.z) b))((a a)((^z.z) b)))) 4. ==[ alpha ]==> ((^x.x)(((a a)((^y.y) b))((a a)((^z.z) b)))) 5. ==[ beta ]==> (((a a)((^y.y) b))((a a)((^z.z) b))) 6. ==[ alpha ]==> (((a a)((^x.x) b))((a a)((^y.y) b))) 7. ==[ beta ]==> (((a a) b)((a a)((^y.y) b))) 8. ==[ alpha ]==> (((a a) b)((a a)((^x.x) b))) 9. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 128552/13025628. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.x1)) 5. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.z)) 7. ==[ beta ]==> ((^y.(y y))(^z.z)) 8. ==[ alpha ]==> ((^x.(x x))(^y.y)) 9. ==[ beta ]==> ((^y.y)(^y.y)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128553/13025958. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> (((a ((^z.z) b))(a ((^z.z) b)))(^y.y)) 4. ==[ alpha ]==> (((a ((^x.x) b))(a ((^y.y) b)))(^z.z)) 5. ==[ beta ]==> (((a b)(a ((^y.y) b)))(^z.z)) 6. ==[ alpha ]==> (((a b)(a ((^x.x) b)))(^y.y)) 7. ==[ beta ]==> (((a b)(a b))(^y.y)) 8. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 128554/13025961. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^y.b)) REDUCED to normal form. ------ 128555/13026276. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 128556/13027167. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 128557/13027263. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 128558/13028154. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128559/13028469. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 128560/13028472. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 128561/13028922. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.((^z.z)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128562/13029147. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a) b)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((a a) b)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((a a) b)(^x.(x x))) REDUCED to normal form. ------ 128563/13030254. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.((z z) z))) REDUCED to normal form. ------ 128564/13031028. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 128565/13031136. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 128566/13031217. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.a)) REDUCED to normal form. ------ 128567/13031442. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^a.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.c)) 3. ==[ beta ]==> (((^y.y)(b a))(^z.c)) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.c)) 5. ==[ beta ]==> ((b a)(^y.c)) 6. ==[ alpha ]==> ((b a)(^x.c)) REDUCED to normal form. ------ 128568/13031496. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 128569/13031523. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(a a))) 3. ==[ beta ]==> (((a a)(a b))(^y.(a a))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(a a))) REDUCED to normal form. ------ 128570/13031604. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(z z))) REDUCED to normal form. ------ 128571/13031631. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.z)) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.z)) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.y)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 128572/13031643. ------ 1. ==[ start ]==> ((a a)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((a a)(((^x.x) b)((^y.y) a))) 3. ==[ beta ]==> ((a a)(b ((^y.y) a))) 4. ==[ alpha ]==> ((a a)(b ((^x.x) a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 128573/13031670. ------ 1. ==[ start ]==> ((a (a a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 128574/13031697. ------ 1. ==[ start ]==> ((a b)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((b a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a b)((b a)(^y.y))) 4. ==[ alpha ]==> ((a b)((b a)(^x.x))) REDUCED to normal form. ------ 128575/13031751. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(a b))) 3. ==[ beta ]==> (((a a)(a a))((a a)(a b))) REDUCED to normal form. ------ 128576/13031778. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))((a b)(a a))) REDUCED to normal form. ------ 128577/13031913. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 128578/13031940. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(b (^y.y)))) REDUCED to normal form. ------ 128579/13031976. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.a)((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)((b (^y.y))(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 128580/13032003. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 128581/13032012. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 128582/13032039. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 128583/13032057. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a ((a (^y.(^z.z)))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 128584/13032066. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 128585/13032084. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 128586/13032138. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.b))) REDUCED to normal form. ------ 128587/13032228. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 128588/13032246. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (a a))(^y.(^z.(^x1.x1))))((a (a a))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (a a))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 128589/13032273. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 128590/13032309. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 128591/13032336. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)(b (^y.y)))) 3. ==[ beta ]==> (((a (a a)) a)(b (^y.y))) 4. ==[ alpha ]==> (((a (a a)) a)(b (^x.x))) REDUCED to normal form. ------ 128592/13032354. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((b (^y.y)) a)) 3. ==[ beta ]==> ((a (a a))((b (^y.y)) a)) 4. ==[ alpha ]==> ((a (a a))((b (^x.x)) a)) REDUCED to normal form. ------ 128593/13032381. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 128594/13032390. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 128595/13032417. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 128596/13032444. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 128597/13032552. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((b b)((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> ((b b)((^x.b)(^y.(a a)))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 128598/13032687. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 128599/13032885. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 128600/13032912. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)(a b))) REDUCED to normal form. ------ 128601/13032939. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(((a a) a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)(((a a) a)(a a))) REDUCED to normal form. ------ 128602/13032966. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a)(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 128603/13032993. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (a a))(b a))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))(b a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(b a))) 5. ==[ beta ]==> ((a a)((a (a a))(b a))) REDUCED to normal form. ------ 128604/13033020. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a ((a a) a))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a ((a a) a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 128605/13033110. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(a a))(^z.z))) 5. ==[ beta ]==> (a (((a a)(a a))(^z.z))) 6. ==[ alpha ]==> (a (((a a)(a a))(^x.x))) REDUCED to normal form. ------ 128606/13033146. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 128607/13033173. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 128608/13033191. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((b a)(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)((b a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 128609/13033218. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 128610/13033227. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 128611/13033254. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 128612/13033272. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b)(^z.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b)(^z.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(^z.b))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)(^z.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.b))) 7. ==[ beta ]==> ((a a)((a b)(^y.b))) 8. ==[ alpha ]==> ((a a)((a b)(^x.b))) REDUCED to normal form. ------ 128613/13033281. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 128614/13033335. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 128615/13033524. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 128616/13033686. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 128617/13033740. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 128618/13033794. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 128619/13033938. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a b))((a a)(^y.y))) 6. ==[ alpha ]==> (((a a)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 128620/13033965. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a b)((a a) a))) REDUCED to normal form. ------ 128621/13033992. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a) a)(a b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a) a)(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(a b))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(a b))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a b))) REDUCED to normal form. ------ 128622/13034019. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a a))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a a))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 128623/13034046. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (a a))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (a a))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a (a a))((a a)(^z.z)))) 6. ==[ alpha ]==> (((^x.x) a)((a (a a))((a a)(^y.y)))) 7. ==[ beta ]==> (a ((a (a a))((a a)(^y.y)))) 8. ==[ alpha ]==> (a ((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 128624/13034073. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (b a))) REDUCED to normal form. ------ 128625/13034091. ------ 1. ==[ start ]==> (((^a.b) b)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)(c (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b (c (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 128626/13034100. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 128627/13034127. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)((^y.y) b))) 3. ==[ beta ]==> ((a (a a))((a a)((^y.y) b))) 4. ==[ alpha ]==> ((a (a a))((a a)((^x.x) b))) 5. ==[ beta ]==> ((a (a a))((a a) b)) REDUCED to normal form. ------ 128628/13034163. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.z))) 5. ==[ beta ]==> (((^y.y) b)(^z.z)) 6. ==[ alpha ]==> (((^x.x) b)(^y.y)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 128629/13034217. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.a))) 5. ==[ beta ]==> ((^y.y)((b a)(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 7. ==[ beta ]==> ((b a)(^y.a)) 8. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 128630/13034298. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (b ((a b)(^x1.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 128631/13034307. ------ 1. ==[ start ]==> (((a b) b)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.b)((a a) a))) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 128632/13034352. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 9. ==[ beta ]==> ((a a)(^y.(a a))) 10. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 128633/13034361. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 128634/13034379. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 128635/13034388. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 128636/13034433. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.(^y1.y1))))) 11. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 12. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 128637/13034442. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 128638/13034469. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.z) b))) 7. ==[ beta ]==> (((^y.y)((^z.z) b))((^y.y)((^z.z) b))) 8. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)((^x1.x1) b))) 9. ==[ beta ]==> (((^y.y) b)((^z.z)((^x1.x1) b))) 10. ==[ alpha ]==> (((^x.x) b)((^y.y)((^z.z) b))) 11. ==[ beta ]==> (b ((^y.y)((^z.z) b))) 12. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 13. ==[ beta ]==> (b ((^y.y) b)) 14. ==[ alpha ]==> (b ((^x.x) b)) 15. ==[ beta ]==> (b b) REDUCED to normal form. ------ 128639/13034496. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 128640/13034514. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 128641/13034523. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 128642/13034739. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)(^d.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 128643/13034748. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (b a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (b a))) REDUCED to normal form. ------ 128644/13034775. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a a))(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a a))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 128645/13034802. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y) b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 128646/13034838. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 128647/13035090. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 128648/13035117. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (^z.z))) 3. ==[ beta ]==> ((a (^y.b))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 128649/13035135. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 128650/13035216. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (b ((a a)(^y.(y y)))) 6. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 128651/13035225. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 128652/13035252. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 128653/13035729. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 128654/13036008. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 128655/13036107. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b)(^x1.(x1 x1)))) REDUCED to normal form. ------ 128656/13036386. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128657/13036791. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 128658/13036863. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 128659/13036872. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 128660/13036899. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 128661/13036926. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 128662/13036980. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(((a a) a)((a a) a))) REDUCED to normal form. ------ 128663/13036998. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.b))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.b))) REDUCED to normal form. ------ 128664/13037277. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128665/13037286. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(b (a a))) REDUCED to normal form. ------ 128666/13037313. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a ((a a)(^y.y)))) 3. ==[ beta ]==> ((a b)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 128667/13037322. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128668/13037349. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^z1.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128669/13037592. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128670/13037601. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 128671/13037628. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((b a)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((b a)((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 128672/13037646. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 9. ==[ beta ]==> (b (^y.(y y))) 10. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 128673/13037655. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 128674/13037673. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 128675/13037682. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^z1.z1)(^x2.x2))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1)(^x2.x2)))) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)(^x2.x2))) 8. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 9. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 10. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 128676/13037727. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 128677/13037763. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128678/13037790. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 128679/13037808. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a b) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 128680/13037817. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 128681/13037844. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 128682/13037871. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 128683/13037925. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.a)(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 128684/13037952. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 128685/13037988. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) b)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) b)(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) b)(a (a a))) REDUCED to normal form. ------ 128686/13038015. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a b)(a a))) REDUCED to normal form. ------ 128687/13038042. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> ((a (b a))(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> ((a (b a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 128688/13038069. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.z) a)) 6. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y) a)) 7. ==[ beta ]==> (((a (a a))((a a)(^x.x))) a) REDUCED to normal form. ------ 128689/13038096. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((a (a a))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(a (a a)))) 7. ==[ beta ]==> ((a a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 128690/13038123. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a b))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)(a b))(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.x))) REDUCED to normal form. ------ 128691/13038150. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 128692/13038177. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a a)(a b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a a)(a b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)(a b))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(a b))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(a b))) REDUCED to normal form. ------ 128693/13038348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 128694/13038591. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128695/13038708. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 128696/13038735. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b (^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b (^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.a))) REDUCED to normal form. ------ 128697/13038816. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 128698/13038834. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (a a))(^y.a))) 3. ==[ beta ]==> (b ((a (a a))(^y.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 128699/13038843. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.b))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.b))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.b))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a b)(^x.b))(a ((^y.y) a))) 7. ==[ beta ]==> (((a b)(^x.b))(a a)) REDUCED to normal form. ------ 128700/13038897. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 128701/13038942. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((a a) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128702/13038951. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 128703/13038978. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 128704/13039005. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 128705/13039068. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) b)(b (^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.y))) REDUCED to normal form. ------ 128706/13039095. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(a ((a a) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(a ((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a ((a a) a))) REDUCED to normal form. ------ 128707/13039122. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a))(b a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(a a))) 5. ==[ beta ]==> (((a (a a))(b a))(a a)) REDUCED to normal form. ------ 128708/13039149. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 128709/13039176. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(a a))(a ((^y.y) a))) 6. ==[ alpha ]==> ((((a a) a)(a a))(a ((^x.x) a))) 7. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 128710/13039203. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 128711/13039230. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)((a a) a))((a a)(^y.y))) 6. ==[ alpha ]==> (((a a)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 128712/13039338. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(c d)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(c d)) 3. ==[ beta ]==> ((b (a (^y.y)))(c d)) 4. ==[ alpha ]==> ((b (a (^x.x)))(c d)) REDUCED to normal form. ------ 128713/13039563. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(z z)) b)) 3. ==[ beta ]==> (b ((^z.(z z)) b)) 4. ==[ alpha ]==> (b ((^x.(x x)) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 128714/13039671. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128715/13039707. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((b c)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((b c)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 128716/13039734. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 128717/13039779. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (a a)) a)) 3. ==[ beta ]==> ((b (^y.y))((a (a a)) a)) 4. ==[ alpha ]==> ((b (^x.x))((a (a a)) a)) REDUCED to normal form. ------ 128718/13039806. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.z) a) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 128719/13039842. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 128720/13039869. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.(y1 y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 128721/13039941. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 128722/13039950. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(b (^y.a))) REDUCED to normal form. ------ 128723/13039977. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(a (^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.b))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(y y)))) REDUCED to normal form. ------ 128724/13040049. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a a)(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128725/13040058. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 128726/13040085. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((b (^y.a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.a))((^y.a)(^z.z))) 5. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 128727/13040112. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 128728/13040175. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 128729/13040202. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 128730/13040229. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(c a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(c a)) 3. ==[ beta ]==> ((a ((^y.y) b))(c a)) 4. ==[ alpha ]==> ((a ((^x.x) b))(c a)) 5. ==[ beta ]==> ((a b)(c a)) REDUCED to normal form. ------ 128731/13040256. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(b b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(b b)) REDUCED to normal form. ------ 128732/13040283. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(a c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(a c)) 3. ==[ beta ]==> (((^y.y)(b a))(a c)) 4. ==[ alpha ]==> (((^x.x)(b a))(a c)) 5. ==[ beta ]==> ((b a)(a c)) REDUCED to normal form. ------ 128733/13040310. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(b (a a))) REDUCED to normal form. ------ 128734/13040337. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(a (a (^y.y)))) 3. ==[ beta ]==> (((a b)(a a))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a a))(a (a (^x.x)))) REDUCED to normal form. ------ 128735/13040364. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a a)(a a))) 3. ==[ beta ]==> (((a a)(a b))((a a)(a a))) REDUCED to normal form. ------ 128736/13040391. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(b a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(b a)) REDUCED to normal form. ------ 128737/13040445. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(a (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a (a a))) REDUCED to normal form. ------ 128738/13040472. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(a a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(a a)) 3. ==[ beta ]==> ((b ((^y.y) a))(a a)) 4. ==[ alpha ]==> ((b ((^x.x) a))(a a)) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 128739/13043643. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> ((^y.y)(^y1.y1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128740/13046154. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 128741/13048233. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 128742/13049316. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a)) b) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a)) b) 3. ==[ beta ]==> ((b ((^y.y) a)) b) 4. ==[ alpha ]==> ((b ((^x.x) a)) b) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 128743/13049340. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128744/13049421. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 128745/13049583. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (^y.(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> (^x.(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (^x.(a ((^z.z) b))) 6. ==[ alpha ]==> (^x.(a ((^y.y) b))) 7. ==[ beta ]==> (^x.(a b)) REDUCED to normal form. ------ 128746/13049925. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(b a))(((^y.(^z.z))(b a))((^y.(^z.z))(b a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.(^x1.x1))(b a))((^y1.(^z1.z1))(b a)))) 5. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(b a))((^y1.(^z1.z1))(b a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(b a))((^x1.(^y1.y1))(b a)))) 7. ==[ beta ]==> (((^y.(^z.z))(b a))((^x1.(^y1.y1))(b a))) 8. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(b a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 11. ==[ beta ]==> ((^y.(^z.z))(b a)) 12. ==[ alpha ]==> ((^x.(^y.y))(b a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128747/13050423. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(b (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(b (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 7. ==[ beta ]==> (^y.(b (^z.z))) 8. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 128748/13051143. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.((a a)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.((a a)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 128749/13051221. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.a)) b) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a)) b) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128750/13051503. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.((y y)(y y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.((y y)(y y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((x x)(x x)))) REDUCED to normal form. ------ 128751/13051608. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (^y.((((a a)(^z.z))(a (a a)))(((a a)(^z.z))(a (a a))))) 4. ==[ alpha ]==> (^x.((((a a)(^y.y))(a (a a)))(((a a)(^z.z))(a (a a))))) REDUCED to normal form. ------ 128752/13051815. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (^z.z))) 3. ==[ beta ]==> ((^y.y)((b (^z.z))(b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(b (^z.z)))) 5. ==[ beta ]==> ((b (^y.y))(b (^z.z))) 6. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 128753/13051827. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.(a a))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((^z.z) b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128754/13052490. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))((^z.z)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128755/13052493. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 128756/13053114. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.y)(^z.(a (^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 9. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 10. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 128757/13053246. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.b)(^z.(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 128758/13053420. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 128759/13053690. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.(b a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(b a))) 3. ==[ beta ]==> (b (^y.(b a))) 4. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 128760/13053978. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(b a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(x a))) REDUCED to normal form. ------ 128761/13054083. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^x1.b)(^y1.(y1 y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (b (^z.(^x1.x1))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 128762/13054257. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.b)(^y.(^z.z))) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 128763/13054761. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 128764/13055001. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 128765/13055004. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 128766/13055013. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 128767/13055454. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128768/13055679. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 128769/13055895. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 128770/13056000. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((((^y.(y y))(a (a a)))((^y.(y y))(a (a a))))(((^y.(y y))(a (a a)))((^y.(y y))(a (a a))))) 4. ==[ alpha ]==> ((((^x.(x x))(a (a a)))((^y.(y y))(a (a a))))(((^z.(z z))(a (a a)))((^x1.(x1 x1))(a (a a))))) 5. ==[ beta ]==> ((((a (a a))(a (a a)))((^y.(y y))(a (a a))))(((^z.(z z))(a (a a)))((^x1.(x1 x1))(a (a a))))) 6. ==[ alpha ]==> ((((a (a a))(a (a a)))((^x.(x x))(a (a a))))(((^y.(y y))(a (a a)))((^z.(z z))(a (a a))))) 7. ==[ beta ]==> ((((a (a a))(a (a a)))((a (a a))(a (a a))))(((^y.(y y))(a (a a)))((^z.(z z))(a (a a))))) 8. ==[ alpha ]==> ((((a (a a))(a (a a)))((a (a a))(a (a a))))(((^x.(x x))(a (a a)))((^y.(y y))(a (a a))))) 9. ==[ beta ]==> ((((a (a a))(a (a a)))((a (a a))(a (a a))))(((a (a a))(a (a a)))((^y.(y y))(a (a a))))) 10. ==[ alpha ]==> ((((a (a a))(a (a a)))((a (a a))(a (a a))))(((a (a a))(a (a a)))((^x.(x x))(a (a a))))) 11. ==[ beta ]==> ((((a (a a))(a (a a)))((a (a a))(a (a a))))(((a (a a))(a (a a)))((a (a a))(a (a a))))) REDUCED to normal form. ------ 128771/13056282. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(y1 b))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128772/13056444. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.((a a) a))) 3. ==[ beta ]==> (((b a)(b a))(^y.((a a) a))) 4. ==[ alpha ]==> (((b a)(b a))(^x.((a a) a))) REDUCED to normal form. ------ 128773/13056786. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.(^y1.a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.a))) REDUCED to normal form. ------ 128774/13057080. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 128775/13057083. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 128776/13057920. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.z))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.y))) 5. ==[ beta ]==> ((a b)(^y.(^z.y))) 6. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 128777/13057974. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(a (^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(a (^z.z)))) 6. ==[ alpha ]==> ((b a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 128778/13058028. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 128779/13058082. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 128780/13058136. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 128781/13058163. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.z))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 128782/13058193. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 128783/13058220. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 128784/13058247. ------ 1. ==[ start ]==> (((^a.a)(a a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)((b a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)((b a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)((b a)(^y.y))) 6. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 128785/13058274. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((a a) a))) REDUCED to normal form. ------ 128786/13058328. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128787/13058355. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 128788/13058382. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(b a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(b a))) 7. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 128789/13058409. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 128790/13058436. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> ((a (^x.a))(a ((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.a))(a ((^y.y) b))) 5. ==[ beta ]==> ((a (^x.a))(a b)) REDUCED to normal form. ------ 128791/13058553. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 128792/13058580. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) b)(^z.a))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(^z.a))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.a))) 5. ==[ beta ]==> ((a a)(b (^y.a))) 6. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 128793/13058607. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 128794/13058634. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 128795/13058697. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))(a b))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(a b))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 128796/13058724. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 128797/13058778. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(b a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 128798/13058850. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 128799/13058904. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b (^y.y)) a)) REDUCED to normal form. ------ 128800/13058931. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(a a)) b)) REDUCED to normal form. ------ 128801/13058958. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) b) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) b) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b) c)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b c)) REDUCED to normal form. ------ 128802/13059075. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 128803/13059102. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 128804/13059273. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (b (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (b (^z.z)))) 6. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 7. ==[ beta ]==> (a (b (^y.y))) 8. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 128805/13059300. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 128806/13059336. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z) c)) 3. ==[ beta ]==> ((a (^y.a))((^z.z) c)) 4. ==[ alpha ]==> ((a (^x.a))((^y.y) c)) 5. ==[ beta ]==> ((a (^x.a)) c) REDUCED to normal form. ------ 128807/13059354. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 128808/13059597. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 128809/13059687. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (((^y.y) b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (((^x.x) b)(^y.(^z.z)))) 7. ==[ beta ]==> (b (b (^y.(^z.z)))) 8. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 128810/13059714. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 128811/13059768. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 128812/13059822. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b)(^y.b))) REDUCED to normal form. ------ 128813/13059849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128814/13059912. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(b a))) 3. ==[ beta ]==> (((a a)((a a) a))((b a)(b a))) REDUCED to normal form. ------ 128815/13059939. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 128816/13059966. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 128817/13059993. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)((a a)(a a)))) 5. ==[ beta ]==> (((a (a a)) a)((a a)(a a))) REDUCED to normal form. ------ 128818/13060047. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 128819/13060065. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.(^z.z))) c)) 3. ==[ beta ]==> (b ((a (^y.(^z.z))) c)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 128820/13060074. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 128821/13060353. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a ((a a)(a a)))) REDUCED to normal form. ------ 128822/13060389. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z) b)) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 128823/13060434. ------ 1. ==[ start ]==> (((^a.b)(a a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((b a)((^y.y) a))) 3. ==[ beta ]==> (b ((b a)((^y.y) a))) 4. ==[ alpha ]==> (b ((b a)((^x.x) a))) 5. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 128824/13060461. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 128825/13060641. ------ 1. ==[ start ]==> (((a b)(a a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))(c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 128826/13060668. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.y))) 3. ==[ beta ]==> ((a (a a))(b (^y.y))) 4. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 128827/13060677. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)((^z.z) b))) 3. ==[ beta ]==> ((^y.(a a))((a a)((^z.z) b))) 4. ==[ alpha ]==> ((^x.(a a))((a a)((^y.y) b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128828/13060848. ------ 1. ==[ start ]==> (((a b) b)((a b)(^c.a))) 2. ==[ alpha ]==> (((a b) b)((a b)(^x.a))) REDUCED to normal form. ------ 128829/13060875. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a) a)(^y.b))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(^y.b))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.b))) REDUCED to normal form. ------ 128830/13060902. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(a a))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 128831/13060929. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 128832/13060983. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 128833/13061010. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.z))) 5. ==[ beta ]==> ((^y.(y y))((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 7. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 128834/13061037. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) b) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(b a)) REDUCED to normal form. ------ 128835/13061064. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 128836/13061091. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((b a) c)) 3. ==[ beta ]==> (((a a)(^y.y))((b a) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((b a) c)) REDUCED to normal form. ------ 128837/13061154. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 128838/13061181. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.a))) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 128839/13061235. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 128840/13061316. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 128841/13061343. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 128842/13061379. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 128843/13061514. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)((a a) a))) 3. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 128844/13061595. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 128845/13061622. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 128846/13061712. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128847/13061739. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 128848/13061766. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 128849/13061793. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 128850/13061856. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 128851/13061883. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a a))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> (((a (^x.x))(a a))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> (((a (^x.x))(a a))((a a)(a a))) REDUCED to normal form. ------ 128852/13061910. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a b))((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 128853/13061937. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 128854/13061964. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 9. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 11. ==[ beta ]==> (a (^y.(^z.z))) 12. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 128855/13061991. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 128856/13062072. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 128857/13062099. ------ 1. ==[ start ]==> ((a (b a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 128858/13062270. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 128859/13062333. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 128860/13062378. ------ 1. ==[ start ]==> (((^a.a)(b a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a b)(a (a a)))) 3. ==[ beta ]==> ((b a)((a b)(a (a a)))) REDUCED to normal form. ------ 128861/13062405. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 128862/13062459. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a))(a b))) 3. ==[ beta ]==> (((a b)(a b))((a (a a))(a b))) REDUCED to normal form. ------ 128863/13062540. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a)(b a))) 3. ==[ beta ]==> (b ((a a)(b a))) REDUCED to normal form. ------ 128864/13062576. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((b a)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.a))((b a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))((b a)(^y.y))) REDUCED to normal form. ------ 128865/13062603. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 128866/13062666. ------ 1. ==[ start ]==> (((a a)(b a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 128867/13062720. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 128868/13062747. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x))(a b))) 3. ==[ beta ]==> (((a (a a))(a b))((a b)(a b))) REDUCED to normal form. ------ 128869/13062774. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 128870/13062801. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 128871/13062828. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(b a))) 3. ==[ beta ]==> (((a b)(a (a a)))(b a)) REDUCED to normal form. ------ 128872/13062936. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 128873/13063107. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 128874/13063215. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128875/13063242. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 128876/13063269. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 128877/13063323. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))((^z.z)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((^y.y)(a a)))) 9. ==[ beta ]==> (((a a)(a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 128878/13063413. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 128879/13063440. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a b)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a b)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(^y.a))) REDUCED to normal form. ------ 128880/13063467. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 128881/13063557. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a)(a b))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 128882/13063584. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 128883/13063611. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(^z.z))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 128884/13063665. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 128885/13063692. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(^y.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 128886/13063719. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 128887/13063746. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 128888/13063827. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 128889/13063854. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 128890/13063863. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 128891/13063890. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))(a a)) 6. ==[ alpha ]==> (((^x.x)(a a))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 128892/13064025. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (b (((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a) a))) 5. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 128893/13064142. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 128894/13064169. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((a a) a)(^y.a))) 3. ==[ beta ]==> ((b a)(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((b a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 128895/13064196. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 128896/13064223. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (a a))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 128897/13064304. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.(a a))((a a)(^z.(a a)))) 6. ==[ alpha ]==> ((^x.(a a))((a a)(^y.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128898/13064331. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a a) a)) REDUCED to normal form. ------ 128899/13064358. ------ 1. ==[ start ]==> (((a b)(^c.a))((a b) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((a b) b)) REDUCED to normal form. ------ 128900/13064385. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a) c)) REDUCED to normal form. ------ 128901/13064529. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a a) b)(^y.(a a))) 6. ==[ alpha ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 128902/13064691. ------ 1. ==[ start ]==> (((a b)((a a) a))(c (^c.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(c (^x.a))) REDUCED to normal form. ------ 128903/13064718. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(b (^x1.b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (^z.b))) 5. ==[ beta ]==> (((a a)(^y.y))(b (^z.b))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.b))) REDUCED to normal form. ------ 128904/13064745. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 128905/13064826. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 128906/13064853. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 128907/13065132. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(a (a b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128908/13065168. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a) b)) 3. ==[ beta ]==> ((b b)((^y.a) b)) 4. ==[ alpha ]==> ((b b)((^x.a) b)) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 128909/13065195. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y)) c)) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 128910/13065213. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))((^x.x) a))) 5. ==[ beta ]==> (((a a)(a a))((a (a a)) a)) REDUCED to normal form. ------ 128911/13065240. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(a (a a))) 6. ==[ alpha ]==> (((^x.x) a)(a (a a))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 128912/13065294. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a)((a a) a))) 3. ==[ beta ]==> (((b a)(b a))((a a)((a a) a))) REDUCED to normal form. ------ 128913/13065357. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 128914/13065384. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (a a))(^y.a))) REDUCED to normal form. ------ 128915/13065438. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 128916/13065492. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((a a) a) a)) REDUCED to normal form. ------ 128917/13065519. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.x1) b)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z) b)) 7. ==[ beta ]==> ((b (^x.(^y.y))) b) REDUCED to normal form. ------ 128918/13065582. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 128919/13065609. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 128920/13065744. ------ 1. ==[ start ]==> (((a b)(a b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))(c (^x.(x x)))) REDUCED to normal form. ------ 128921/13065771. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 128922/13065852. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.x1))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 128923/13065879. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 128924/13065906. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 128925/13065933. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 128926/13066104. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 128927/13066248. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b c)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b c)(a (^x.(^y.y)))) REDUCED to normal form. ------ 128928/13066275. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 128929/13066383. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z)) c)) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z)) c)) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y)) c)) REDUCED to normal form. ------ 128930/13066401. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b ((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b a)) REDUCED to normal form. ------ 128931/13066482. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 128932/13066491. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 128933/13066590. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(b c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(b c)) 3. ==[ beta ]==> ((^y.(^z.z))(b c)) 4. ==[ alpha ]==> ((^x.(^y.y))(b c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128934/13066599. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a)(^x1.a))) REDUCED to normal form. ------ 128935/13066626. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z) a) a)) 3. ==[ beta ]==> ((b (^y.a))(((^z.z) a) a)) 4. ==[ alpha ]==> ((b (^x.a))(((^y.y) a) a)) 5. ==[ beta ]==> ((b (^x.a))(a a)) REDUCED to normal form. ------ 128936/13066653. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 128937/13066716. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(c (^y.y))) REDUCED to normal form. ------ 128938/13066743. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 128939/13066770. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(a (^z.a))) 3. ==[ beta ]==> ((a ((^y.y) b))(a (^z.a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.a))) 5. ==[ beta ]==> ((a b)(a (^y.a))) 6. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 128940/13066797. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 128941/13066824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((b a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((b a)(a (^y.y))) 8. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 128942/13066851. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 128943/13066878. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 128944/13066905. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(b (^y.y))) 3. ==[ beta ]==> (((a a)(a b))(b (^y.y))) 4. ==[ alpha ]==> (((a a)(a b))(b (^x.x))) REDUCED to normal form. ------ 128945/13066932. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 128946/13066986. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 128947/13067013. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(a (^z.z))) 3. ==[ beta ]==> ((b ((^y.y) a))(a (^z.z))) 4. ==[ alpha ]==> ((b ((^x.x) a))(a (^y.y))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 128948/13074783. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 128949/13075866. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a)) c) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a)) c) 3. ==[ beta ]==> ((b ((^y.y) a)) c) 4. ==[ alpha ]==> ((b ((^x.x) a)) c) 5. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 128950/13076604. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 128951/13076709. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 128952/13076991. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 128953/13077600. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 128954/13077780. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.(^z.z))) c)) 3. ==[ beta ]==> (((a (^y.(^z.z))) c) b) 4. ==[ alpha ]==> (((a (^x.(^y.y))) c) b) REDUCED to normal form. ------ 128955/13078062. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(a a)))) REDUCED to normal form. ------ 128956/13078071. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.((y y)(y y)))) REDUCED to normal form. ------ 128957/13078413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 128958/13079367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.b))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 128959/13079385. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 128960/13079979. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 128961/13080258. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(b a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(b a))) REDUCED to normal form. ------ 128962/13080354. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(a a))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 128963/13080537. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.a))) REDUCED to normal form. ------ 128964/13081068. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(^y.((a a)(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 128965/13081245. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128966/13081572. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 128967/13082559. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((((a (a a))(^y.(y y)))((a (a a))(^y.(y y))))(((a (a a))(^y.(y y)))((a (a a))(^y.(y y))))) 4. ==[ alpha ]==> ((((a (a a))(^x.(x x)))((a (a a))(^y.(y y))))(((a (a a))(^z.(z z)))((a (a a))(^x1.(x1 x1))))) REDUCED to normal form. ------ 128968/13082841. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(^z1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128969/13083192. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128970/13083639. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 128971/13083642. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 128972/13083921. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128973/13084029. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 128974/13084227. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.b))(^y.a)) REDUCED to normal form. ------ 128975/13084479. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.c)) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.c)) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.c)) 5. ==[ beta ]==> ((a b)(^y.c)) 6. ==[ alpha ]==> ((a b)(^x.c)) REDUCED to normal form. ------ 128976/13084533. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 128977/13084587. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^c.b)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.b)) 3. ==[ beta ]==> (((a b)(a a))(^y.b)) 4. ==[ alpha ]==> (((a b)(a a))(^x.b)) REDUCED to normal form. ------ 128978/13084641. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^b.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 128979/13084722. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.a)) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.a)) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.a)) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 128980/13084770. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> (a (((^y.y) b)((^z.z) a))) 4. ==[ alpha ]==> (a (((^x.x) b)((^y.y) a))) 5. ==[ beta ]==> (a (b ((^y.y) a))) 6. ==[ alpha ]==> (a (b ((^x.x) a))) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 128981/13084797. ------ 1. ==[ start ]==> (((a a) a)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 128982/13084824. ------ 1. ==[ start ]==> (((a a)(^a.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))((b a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 128983/13084851. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> (b (((a a)(^y.y))((a a) a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 128984/13084878. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(a a))(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (((^y.y)(a a))(a b)) 6. ==[ alpha ]==> (((^x.x)(a a))(a b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 128985/13084905. ------ 1. ==[ start ]==> (((a a) b)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)((a b)((^x.x)(a a)))) 3. ==[ beta ]==> (((a a) b)((a b)(a a))) REDUCED to normal form. ------ 128986/13084932. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 128987/13084959. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(b a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 128988/13084986. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 128989/13085040. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 128990/13085166. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z) a))) 5. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 128991/13085193. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.(^z1.z1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 128992/13085265. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.b))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.b))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.b))) REDUCED to normal form. ------ 128993/13085292. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.(a a)))) REDUCED to normal form. ------ 128994/13085355. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(b a))) 5. ==[ beta ]==> (((^y.(^z.z))(b a))((^y.(^z.z))(b a))) 6. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(b a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 9. ==[ beta ]==> ((^y.(^z.z))(b a)) 10. ==[ alpha ]==> ((^x.(^y.y))(b a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128995/13085382. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 128996/13085436. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 128997/13085463. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(b (^y.y)))) 5. ==[ beta ]==> ((a (a a))(b (^y.y))) 6. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 128998/13085544. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.a)) 6. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 128999/13085571. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 129000/13085706. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129001/13085787. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 7. ==[ beta ]==> ((^y.a)(^z.z)) 8. ==[ alpha ]==> ((^x.a)(^y.y)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 129002/13085796. ------ 1. ==[ start ]==> (((a (a a)) b)(c ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) b)(c ((^x.x) b))) 3. ==[ beta ]==> (((a (a a)) b)(c b)) REDUCED to normal form. ------ 129003/13085823. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(b ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(b ((a a)(a a)))) 5. ==[ beta ]==> (a (b ((a a)(a a)))) REDUCED to normal form. ------ 129004/13085850. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (b (^z.z)))) REDUCED to normal form. ------ 129005/13085877. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 129006/13085904. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.a))(b (a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.a))(b (a (^y.y)))) REDUCED to normal form. ------ 129007/13085931. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 129008/13085958. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((b a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((b a)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((b a)(a (a a)))) 7. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 129009/13086165. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.y1))) 3. ==[ beta ]==> ((^y.y)(c (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(c (^y.y))) 5. ==[ beta ]==> (c (^y.y)) 6. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 129010/13086300. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 129011/13086381. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))((a a) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))((a a) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))((a a) a))) 7. ==[ beta ]==> ((a a)((^y.(a a))((a a) a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))((a a) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 129012/13086462. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 129013/13086507. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 129014/13086534. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 129015/13086588. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(a a)) a)) 5. ==[ beta ]==> ((a (^y.y))(((a a)(a a)) a)) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(a a)) a)) REDUCED to normal form. ------ 129016/13086615. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) b) b)) 3. ==[ beta ]==> ((((a a) a)(a a))(b b)) REDUCED to normal form. ------ 129017/13086642. ------ 1. ==[ start ]==> ((a (a b))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((a (a b))((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 129018/13086651. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 129019/13086732. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(^x1.a))) IRREDUCIBLE: cycle. ------ 129020/13086813. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129021/13086867. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 129022/13086903. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 129023/13086930. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a ((a a)(a a)))) REDUCED to normal form. ------ 129024/13086957. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b)(a a))) 5. ==[ beta ]==> ((^y.a)(((^z.z) b)(a a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) b)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 129025/13086984. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) REDUCED to normal form. ------ 129026/13087011. ------ 1. ==[ start ]==> (((a b)(^a.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.x))((b a) a)) REDUCED to normal form. ------ 129027/13087200. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)(b a))) 3. ==[ beta ]==> (b (((^y.y) a)(b a))) 4. ==[ alpha ]==> (b (((^x.x) a)(b a))) 5. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 129028/13087245. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.z))) 3. ==[ beta ]==> ((^y.(a a))(b (^z.z))) 4. ==[ alpha ]==> ((^x.(a a))(b (^y.y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 129029/13087272. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(a (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 129030/13087326. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 129031/13087407. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 129032/13087488. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129033/13087542. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(b a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(b a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(b a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(b a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(b a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(b a))) 9. ==[ beta ]==> ((^y.y)((^z.a)(b a))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 11. ==[ beta ]==> ((^y.a)(b a)) 12. ==[ alpha ]==> ((^x.a)(b a)) 13. ==[ beta ]==> a REDUCED to normal form. ------ 129034/13087623. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129035/13087848. ------ 1. ==[ start ]==> (((^a.b) c)(d ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(d ((a a)(^y.y)))) 3. ==[ beta ]==> (b (d ((a a)(^y.y)))) 4. ==[ alpha ]==> (b (d ((a a)(^x.x)))) REDUCED to normal form. ------ 129036/13088091. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)((a a) a))) REDUCED to normal form. ------ 129037/13088118. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (((a a) b)((^y.y)(a b))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(a b))) 7. ==[ beta ]==> (((a a) b)(a b)) REDUCED to normal form. ------ 129038/13088145. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (a a))(a a))) REDUCED to normal form. ------ 129039/13088199. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(b a))) REDUCED to normal form. ------ 129040/13088226. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.b))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 129041/13088244. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(a (^y.y))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 129042/13088325. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129043/13088424. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.b)) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.b)) REDUCED to normal form. ------ 129044/13088451. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 129045/13088478. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 129046/13088532. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 9. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 129047/13088559. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 129048/13088586. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((b a) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((b a) b)) 3. ==[ beta ]==> (((a b) a)((b a) b)) REDUCED to normal form. ------ 129049/13088757. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> (b ((^z.(z z))(^x1.(a a)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(a a)))) 7. ==[ beta ]==> (b ((^y.(a a))(^y.(a a)))) 8. ==[ alpha ]==> (b ((^x.(a a))(^y.(a a)))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 129050/13088838. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 129051/13088901. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 129052/13089009. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((a a) a))) 7. ==[ beta ]==> ((a (^x.(a a)))((a a) a)) REDUCED to normal form. ------ 129053/13089036. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a))(a b))) REDUCED to normal form. ------ 129054/13089090. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 129055/13089117. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(b a))) REDUCED to normal form. ------ 129056/13089216. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 129057/13089234. ------ 1. ==[ start ]==> (((a a)(b a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 129058/13089261. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 129059/13089315. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (a a))(^x.b))) REDUCED to normal form. ------ 129060/13089342. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(a a)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(a a)))) 7. ==[ beta ]==> (((a a) a)(a (^y.(a a)))) 8. ==[ alpha ]==> (((a a) a)(a (^x.(a a)))) REDUCED to normal form. ------ 129061/13089423. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((b a) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))((b a) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((b a) a)) 5. ==[ beta ]==> (((a a) a)((b a) a)) REDUCED to normal form. ------ 129062/13089450. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 129063/13089513. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.b)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.b)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 129064/13089594. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> ((a a)((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.b))) 7. ==[ beta ]==> ((a a)((^y.b)(^y.b))) 8. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 129065/13089792. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 129066/13089819. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 8. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 129067/13089900. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a (^y.y))(a a))) REDUCED to normal form. ------ 129068/13089927. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.b)((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.b)((a a)((a a)(^y.y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 129069/13089972. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129070/13090080. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129071/13090107. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a (^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 129072/13090125. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a (^x1.b))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.b))) REDUCED to normal form. ------ 129073/13090152. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 129074/13090206. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((a a)(^y.y)) a)) 3. ==[ beta ]==> (((a (a a))(a a))(((a a)(^y.y)) a)) 4. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 129075/13090233. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((a b)(((^y.y)(a a)) b)) 6. ==[ alpha ]==> ((a b)(((^x.x)(a a)) b)) 7. ==[ beta ]==> ((a b)((a a) b)) REDUCED to normal form. ------ 129076/13090260. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a b) c)) REDUCED to normal form. ------ 129077/13090386. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c (a b))) 3. ==[ beta ]==> ((^y.(^z.z))(c (a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129078/13090431. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 129079/13090593. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d (^z.a))) 3. ==[ beta ]==> (b (d (^z.a))) 4. ==[ alpha ]==> (b (d (^x.a))) REDUCED to normal form. ------ 129080/13090701. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129081/13090755. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)((^z.z) a))) 5. ==[ beta ]==> (b ((^y.a)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 129082/13090782. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129083/13090836. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a)((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 129084/13090917. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 129085/13091025. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129086/13091061. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(c ((a a) a))) 3. ==[ beta ]==> ((b (^y.y))(c ((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))(c ((a a) a))) REDUCED to normal form. ------ 129087/13091124. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a a)) REDUCED to normal form. ------ 129088/13091151. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.b) b)) 3. ==[ beta ]==> ((a (b a))((^y.b) b)) 4. ==[ alpha ]==> ((a (b a))((^x.b) b)) 5. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 129089/13091367. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((a a) a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 129090/13091394. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b (a a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b (a a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((b (a a))((^y.y)(^z.a))) 6. ==[ alpha ]==> ((b (a a))((^x.x)(^y.a))) 7. ==[ beta ]==> ((b (a a))(^y.a)) 8. ==[ alpha ]==> ((b (a a))(^x.a)) REDUCED to normal form. ------ 129091/13091421. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 129092/13091457. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 129093/13091592. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129094/13091700. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129095/13091736. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((a a) a)(a a))) 3. ==[ beta ]==> ((b b)(((a a) a)(a a))) REDUCED to normal form. ------ 129096/13091763. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((((a a)(a a)) a)(a (^y.y))) 6. ==[ alpha ]==> ((((a a)(a a)) a)(a (^x.x))) REDUCED to normal form. ------ 129097/13091817. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a (a a)))) REDUCED to normal form. ------ 129098/13091844. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^z1.z1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 129099/13091862. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b (^y.a))) 3. ==[ beta ]==> (((b a)(b a))(b (^y.a))) 4. ==[ alpha ]==> (((b a)(b a))(b (^x.a))) REDUCED to normal form. ------ 129100/13091943. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129101/13092051. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.y1)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129102/13092231. ------ 1. ==[ start ]==> (((a (a a))(b a))((^c.a) a)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a) a)) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 129103/13092258. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) b)) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 129104/13092420. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 129105/13092447. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((b (a (^x.x)))(a (^z.a))) 6. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 129106/13092474. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 129107/13092501. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 129108/13092591. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.a)(^y2.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.a)(^y2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129109/13092780. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129110/13092816. ------ 1. ==[ start ]==> ((((^a.a) b) c)(d b)) 2. ==[ alpha ]==> ((((^x.x) b) c)(d b)) 3. ==[ beta ]==> ((b c)(d b)) REDUCED to normal form. ------ 129111/13092843. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(c c)) REDUCED to normal form. ------ 129112/13092888. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((b (^x.x))(a (a a))) REDUCED to normal form. ------ 129113/13092915. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129114/13092951. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(c (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(c (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(c (a (^y.y)))) REDUCED to normal form. ------ 129115/13092969. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 129116/13092978. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(b a)) REDUCED to normal form. ------ 129117/13093050. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 129118/13093059. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 129119/13093086. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.b))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.b))((a a) a)) REDUCED to normal form. ------ 129120/13093158. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129121/13093167. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(b c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(b c)) REDUCED to normal form. ------ 129122/13093284. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.a) a)) 3. ==[ beta ]==> (((a a)(b (^x.x))) a) REDUCED to normal form. ------ 129123/13093311. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 129124/13093338. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.z) c)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.z) c)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.y) c)) 5. ==[ beta ]==> ((a b)((^y.y) c)) 6. ==[ alpha ]==> ((a b)((^x.x) c)) 7. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 129125/13093365. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 129126/13093392. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 129127/13093419. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 129128/13093446. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a a) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a a) b)) 3. ==[ beta ]==> (((a b)(a a))((a a) b)) REDUCED to normal form. ------ 129129/13093473. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 129130/13093500. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y) b)) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a)) b) REDUCED to normal form. ------ 129131/13093554. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a a) a)) REDUCED to normal form. ------ 129132/13093581. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.z) a)) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.z) a)) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.y) a)) 5. ==[ beta ]==> ((b a)((^y.y) a)) 6. ==[ alpha ]==> ((b a)((^x.x) a)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 129133/13093607. ------ 1. ==[ start ]==> (^a.(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (^x.(((x x)(x x))(x (^y.y)))) REDUCED to normal form. ------ 129134/13093608. ------ 1. ==[ start ]==> (a (((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (a (((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 129135/13102470. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a))) a) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x))) a) REDUCED to normal form. ------ 129136/13102476. ------ 1. ==[ start ]==> ((^a.a)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 129137/13102503. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> ((((^y.y) b)((^z.z) a))(((^y.y) b)((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(((^z.z) b)((^x1.x1) a))) 5. ==[ beta ]==> ((b ((^y.y) a))(((^z.z) b)((^x1.x1) a))) 6. ==[ alpha ]==> ((b ((^x.x) a))(((^y.y) b)((^z.z) a))) 7. ==[ beta ]==> ((b a)(((^y.y) b)((^z.z) a))) 8. ==[ alpha ]==> ((b a)(((^x.x) b)((^y.y) a))) 9. ==[ beta ]==> ((b a)(b ((^y.y) a))) 10. ==[ alpha ]==> ((b a)(b ((^x.x) a))) 11. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 129138/13102530. ------ 1. ==[ start ]==> ((^a.b)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 129139/13102611. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> ((((^z.z)(a a))(a b))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.y)) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 129140/13102800. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)(b (^z.z)))) 3. ==[ eta ]==> ((^y.y)((a a)(b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 129141/13103199. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 129142/13103853. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (a a))(b a))) 3. ==[ beta ]==> ((((a (a a))(b a))((a (a a))(b a)))((a (a a))(b a))) REDUCED to normal form. ------ 129143/13104186. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 129144/13104657. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 129145/13104960. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(a (^x1.(^y1.y1))))((a (^z.z))(a (^x1.(^y1.y1)))))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(a (^z.(^x1.x1))))((a (^y1.y1))(a (^z1.(^x2.x2)))))) 5. ==[ beta ]==> (((a (^y.y))(a (^z.(^x1.x1))))((a (^y1.y1))(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 129146/13105332. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 129147/13105635. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((b (a (^z.(^x1.x1))))(b (a (^z.(^x1.x1)))))(^y.y)) 4. ==[ alpha ]==> (((b (a (^x.(^y.y))))(b (a (^z.(^x1.x1)))))(^y1.y1)) REDUCED to normal form. ------ 129148/13106871. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 129149/13106940. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(a a))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 129150/13107831. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129151/13108146. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 129152/13108626. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 129153/13108851. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 129154/13109787. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.((a a) a))) REDUCED to normal form. ------ 129155/13109958. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.((x x) x))) REDUCED to normal form. ------ 129156/13110615. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 129157/13110921. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.a))(^y.((^z.z) a))) 5. ==[ beta ]==> ((b (^x.a))(^y.a)) REDUCED to normal form. ------ 129158/13111011. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 129159/13111065. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(a (^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(a (^z.z)))) 6. ==[ alpha ]==> ((a b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 129160/13111200. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(x (^y.y)))) REDUCED to normal form. ------ 129161/13111281. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.b)) REDUCED to normal form. ------ 129162/13111308. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(z z))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(z z))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(y y))) 5. ==[ beta ]==> ((b a)(^y.(y y))) 6. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 129163/13111335. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 129164/13111347. ------ 1. ==[ start ]==> ((a a)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a a)(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 129165/13111374. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) b)((^y.y) a))) 3. ==[ beta ]==> ((a (a a))(b ((^y.y) a))) 4. ==[ alpha ]==> ((a (a a))(b ((^x.x) a))) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 129166/13111401. ------ 1. ==[ start ]==> ((a b)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 129167/13111455. ------ 1. ==[ start ]==> (((a a)(a a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 129168/13111482. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a)(a b))) REDUCED to normal form. ------ 129169/13111617. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a ((^z.z) b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y) b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 129170/13111635. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(c (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(a a)))) 5. ==[ beta ]==> (c (^y.(a a))) 6. ==[ alpha ]==> (c (^x.(a a))) REDUCED to normal form. ------ 129171/13111644. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 129172/13111671. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)(b (^y.y)))) 3. ==[ beta ]==> ((a a)((a a)(b (^y.y)))) 4. ==[ alpha ]==> ((a a)((a a)(b (^x.x)))) REDUCED to normal form. ------ 129173/13111707. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b (^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((b (^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 129174/13111761. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (a (((^y.y) b)(^z.a))) 6. ==[ alpha ]==> (a (((^x.x) b)(^y.a))) 7. ==[ beta ]==> (a (b (^y.a))) 8. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 129175/13111770. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 129176/13111788. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 129177/13111797. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 129178/13111977. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (a a))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 129179/13112013. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((a b)((^y.a)((^z.z) b))) 4. ==[ alpha ]==> ((a b)((^x.a)((^y.y) b))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 129180/13112040. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 129181/13112067. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 129182/13112085. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((b (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 5. ==[ beta ]==> ((b (^y.y)) a) 6. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 129183/13112139. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) b) c)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) b) c)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) b) c)) 5. ==[ beta ]==> (((a a)(a a))(b c)) REDUCED to normal form. ------ 129184/13112148. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 129185/13112256. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((b b)((^y.(a a))(^z.b))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(^y.b))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 129186/13112391. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 129187/13112517. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z) c)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z) c)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) c)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) c) REDUCED to normal form. ------ 129188/13112589. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(((a a)(^y.y))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 129189/13112616. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)((a a) a))) REDUCED to normal form. ------ 129190/13112643. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(a b))) 3. ==[ beta ]==> ((a ((^y.y) a))((a b)(a b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b)(a b))) 5. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 129191/13112670. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 129192/13112697. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.y)((a a)(^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.x)((a a)(^y.y)))) 9. ==[ beta ]==> ((a a)((a a)(^y.y))) 10. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 129193/13112724. ------ 1. ==[ start ]==> ((a ((a a) a))((a (a a))(b a))) REDUCED to normal form. ------ 129194/13112850. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(a a))) 5. ==[ beta ]==> (b ((^y.(a a))(a a))) 6. ==[ alpha ]==> (b ((^x.(a a))(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 129195/13112877. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) a)(a (^y.y))) 4. ==[ alpha ]==> ((((a a) a) a)(a (^x.x))) REDUCED to normal form. ------ 129196/13112895. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 129197/13112922. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((b a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(y y)))) 5. ==[ beta ]==> ((b a)(^y.(y y))) 6. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 129198/13112985. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 129199/13113012. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129200/13113057. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 129201/13113228. ------ 1. ==[ start ]==> (((^a.b) a)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 129202/13113246. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.(^x1.x1))) c)) 3. ==[ beta ]==> ((^y.b)((a (^z.(^x1.x1))) c)) 4. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z))) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 129203/13113390. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 129204/13113417. ------ 1. ==[ start ]==> (((a b) a)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 129205/13113498. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 129206/13113597. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) c)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) c)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 129207/13113642. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 129208/13113669. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(^y.y))) REDUCED to normal form. ------ 129209/13113696. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a b)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a b)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((a b)((a a) a))) REDUCED to normal form. ------ 129210/13113723. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a) a)(a b))) REDUCED to normal form. ------ 129211/13113750. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z)(a a)))) 9. ==[ beta ]==> (a ((^y.y)((^z.z)(a a)))) 10. ==[ alpha ]==> (a ((^x.x)((^y.y)(a a)))) 11. ==[ beta ]==> (a ((^y.y)(a a))) 12. ==[ alpha ]==> (a ((^x.x)(a a))) 13. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 129212/13113777. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 129213/13113804. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(b a))) 3. ==[ beta ]==> (((a b)(a a))(a (b a))) REDUCED to normal form. ------ 129214/13113831. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 129215/13113921. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 129216/13114002. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 129217/13114011. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 129218/13114038. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b)((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.b)((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.b)((a a) a))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 129219/13114056. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a)(^z.b))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(^y.b))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.b))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.b))) REDUCED to normal form. ------ 129220/13114065. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(a b))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 129221/13114083. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 7. ==[ beta ]==> ((^y.y)(^z.(a a))) 8. ==[ alpha ]==> ((^x.x)(^y.(a a))) 9. ==[ beta ]==> (^y.(a a)) 10. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 129222/13114092. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 129223/13114146. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 129224/13114173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> (((^y.(^z.z))(a (^x1.(^y1.y1))))((^y.(^z.z))(a (^x1.(^y1.y1))))) 8. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 9. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 11. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 12. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129225/13114200. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y) b)) 5. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 129226/13114218. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) b) a)) 3. ==[ beta ]==> (b (((^z.z) b) a)) 4. ==[ alpha ]==> (b (((^x.x) b) a)) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 129227/13114227. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 129228/13114254. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 129229/13114443. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129230/13114506. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 129231/13114542. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 129232/13114794. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (^d.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (^z.a))) REDUCED to normal form. ------ 129233/13114821. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.b))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.b))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 129234/13114875. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129235/13114920. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 129236/13114929. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 129237/13114956. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 129238/13114983. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 129239/13115685. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 129240/13115739. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 129241/13115811. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.a))) REDUCED to normal form. ------ 129242/13116090. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129243/13116495. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c (^y.(a a)))) REDUCED to normal form. ------ 129244/13116522. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(b (^y.(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 129245/13116567. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b (((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 129246/13116576. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 129247/13116603. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 129248/13116630. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 129249/13116675. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129250/13116684. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 129251/13116702. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 129252/13116981. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129253/13117017. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((a b)(b (a a))) REDUCED to normal form. ------ 129254/13117296. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1)(a a))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(a a))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129255/13117305. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 129256/13117332. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((b a)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((b a)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 129257/13117350. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.a))) 5. ==[ beta ]==> (b (((a a) a)(^y.a))) 6. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 129258/13117359. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 129259/13117377. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 7. ==[ beta ]==> ((^y.y)(^z.(z z))) 8. ==[ alpha ]==> ((^x.x)(^y.(y y))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 129260/13117386. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 129261/13117467. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(a b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 129262/13117494. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 129263/13117512. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (b (((^y.y)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 129264/13117521. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 129265/13117548. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 129266/13117629. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.(^x2.x2))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 129267/13117656. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 129268/13117692. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b (a b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b (a b))) 3. ==[ beta ]==> (((a a) b)(b (a b))) REDUCED to normal form. ------ 129269/13117719. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 129270/13117746. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a b)(a a))) 3. ==[ beta ]==> ((a (b a))((a b)(a a))) REDUCED to normal form. ------ 129271/13117773. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 129272/13117800. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z) a))) 9. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 10. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 11. ==[ beta ]==> ((a a)((^y.y) a)) 12. ==[ alpha ]==> ((a a)((^x.x) a)) 13. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 129273/13117827. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 129274/13117854. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)((a a) a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b)((a a) a))(a (^y.y))) 6. ==[ alpha ]==> (((a b)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 129275/13117881. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 129276/13117908. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a a)(a b))) REDUCED to normal form. ------ 129277/13118052. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 129278/13118187. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 129279/13118376. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 129280/13118520. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^c.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 129281/13118538. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 129282/13118547. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 129283/13118601. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 129284/13118655. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((a a) a)) REDUCED to normal form. ------ 129285/13118682. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 129286/13118709. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 129287/13118772. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c (a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(c (a (a a)))) REDUCED to normal form. ------ 129288/13118799. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(b (^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.z))) REDUCED to normal form. ------ 129289/13118826. ------ 1. ==[ start ]==> (((a (a a))(b a))(a ((a a) a))) REDUCED to normal form. ------ 129290/13118853. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a a))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a a))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 9. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 129291/13118880. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 129292/13118907. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a b))(a ((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a b))(a ((^x.x) a))) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 129293/13118934. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 129294/13118961. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 129295/13119267. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129296/13119411. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(y y))(a a))) 3. ==[ beta ]==> ((b c)((^y.(y y))(a a))) 4. ==[ alpha ]==> ((b c)((^x.(x x))(a a))) 5. ==[ beta ]==> ((b c)((a a)(a a))) REDUCED to normal form. ------ 129297/13119438. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 129298/13119483. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((b (^y.y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((b (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 129299/13119510. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (a a)) a)) 3. ==[ beta ]==> ((^y.y)((a (a a)) a)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 129300/13119546. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 129301/13119573. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 129302/13119645. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.a) b)) 3. ==[ beta ]==> (b ((^z.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 129303/13119654. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 129304/13119681. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(b (^z.a))) 3. ==[ beta ]==> (((a a)(^y.b))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.b))(b (^y.a))) REDUCED to normal form. ------ 129305/13119753. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129306/13119762. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 129307/13119789. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((b (^x.a))((^z.z) a)) 6. ==[ alpha ]==> ((b (^x.a))((^y.y) a)) 7. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 129308/13119816. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 129309/13119879. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a a)) REDUCED to normal form. ------ 129310/13119906. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (^y.y))(a a))) REDUCED to normal form. ------ 129311/13119933. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) b))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a b)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((a b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 129312/13119987. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(b b)) 3. ==[ beta ]==> (((^y.y)(b a))(b b)) 4. ==[ alpha ]==> (((^x.x)(b a))(b b)) 5. ==[ beta ]==> ((b a)(b b)) REDUCED to normal form. ------ 129313/13120041. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(b (a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(b (a a))) 3. ==[ beta ]==> (((a b)(a a))(b (a a))) REDUCED to normal form. ------ 129314/13120068. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(a (a (^y.y)))) 3. ==[ beta ]==> (((a a)(a b))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a b))(a (a (^x.x)))) REDUCED to normal form. ------ 129315/13120095. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a a)(a a))) REDUCED to normal form. ------ 129316/13120149. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(a b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a b)) REDUCED to normal form. ------ 129317/13120176. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(a (a a))) 3. ==[ beta ]==> ((b ((^y.y) a))(a (a a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(a (a a))) 5. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 129318/13120203. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(a a)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 129319/13129074. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a))) b) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x))) b) REDUCED to normal form. ------ 129320/13129098. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129321/13129179. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 129322/13129341. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 129323/13129425. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(^y.(b (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 129324/13130034. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129325/13130208. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 129326/13130559. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((a a)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((a a)(a a)))) 5. ==[ beta ]==> (a (^z.((a a)(a a)))) 6. ==[ alpha ]==> (a (^x.((a a)(a a)))) REDUCED to normal form. ------ 129327/13130928. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((a a)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((a a)(a a)))) REDUCED to normal form. ------ 129328/13130979. ------ 1. ==[ start ]==> ((^a.(a b))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) b) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129329/13131366. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((b a)((^z.z) a))) 3. ==[ beta ]==> (^y.(((b a)((^z.z) a))((b a)((^z.z) a)))) 4. ==[ alpha ]==> (^x.(((b a)((^y.y) a))((b a)((^z.z) a)))) 5. ==[ beta ]==> (^x.(((b a) a)((b a)((^z.z) a)))) 6. ==[ alpha ]==> (^x.(((b a) a)((b a)((^y.y) a)))) 7. ==[ beta ]==> (^x.(((b a) a)((b a) a))) REDUCED to normal form. ------ 129330/13131612. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 129331/13131945. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 129332/13132248. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2)))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3)))))(^y3.y3)) 5. ==[ beta ]==> (((^y.y)((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3)))))(^y3.y3)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1)))))(^x2.x2)) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.(^z1.z1))))(^x2.x2)) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.z1)) 9. ==[ beta ]==> ((^y.y)(^z1.z1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129333/13132287. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 129334/13132899. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 129335/13133004. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(a a))(^z.(z z)))) 3. ==[ eta ]==> (b ((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 129336/13133763. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(z a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(z a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(y a))) 5. ==[ beta ]==> (((a a) a)(^y.(y a))) 6. ==[ alpha ]==> (((a a) a)(^x.(x a))) REDUCED to normal form. ------ 129337/13133841. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((^x1.(a a))(^y1.a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 129338/13134546. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 129339/13134759. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 129340/13134798. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.((z1 z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^z1.((z1 z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 129341/13135239. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 129342/13135464. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 129343/13135758. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.(^z.z))((^x1.x1) a))((^y.(^z.z))((^x1.x1) a)))(((^y.(^z.z))((^x1.x1) a))((^y.(^z.z))((^x1.x1) a)))) 4. ==[ alpha ]==> ((((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a)))(((^x2.(^y2.y2))((^z2.z2) a))((^x3.(^y3.y3))((^z3.z3) a)))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))((^z1.z1) a)))(((^x2.(^y2.y2))((^z2.z2) a))((^x3.(^y3.y3))((^z3.z3) a)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((^x1.x1) a)))(((^y1.(^z1.z1))((^x2.x2) a))((^y2.(^z2.z2))((^x3.x3) a)))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))(((^y1.(^z1.z1))((^x2.x2) a))((^y2.(^z2.z2))((^x3.x3) a)))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.(^y1.y1))((^z1.z1) a))((^x2.(^y2.y2))((^z2.z2) a)))) 9. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))((^z1.z1) a))((^x2.(^y2.y2))((^z2.z2) a)))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a)))) 11. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a))) 12. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 13. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 15. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 16. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129344/13136400. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.a))) REDUCED to normal form. ------ 129345/13136571. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.a))) REDUCED to normal form. ------ 129346/13136838. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129347/13137012. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 129348/13137534. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 129349/13137624. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 129350/13137705. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^x1.z))) REDUCED to normal form. ------ 129351/13137759. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 129352/13137813. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 129353/13137894. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(a a))) REDUCED to normal form. ------ 129354/13137921. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.z))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 129355/13137948. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 129356/13137978. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 129357/13138005. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 129358/13138032. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 129359/13138059. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((b a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 129360/13138113. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129361/13138140. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 129362/13138167. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 129363/13138194. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 129364/13138221. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 129365/13138302. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(b (^z.z)))) 3. ==[ beta ]==> ((^y.a)((a a)(b (^z.z)))) 4. ==[ alpha ]==> ((^x.a)((a a)(b (^y.y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 129366/13138338. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((b (^y.y))(^z.z))) REDUCED to normal form. ------ 129367/13138365. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(((a a)(a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 129368/13138392. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.a))) REDUCED to normal form. ------ 129369/13138419. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) REDUCED to normal form. ------ 129370/13138446. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 129371/13138509. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 129372/13138536. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 129373/13138635. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 129374/13138716. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b (^z.z)) a)) REDUCED to normal form. ------ 129375/13138743. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(a a)) b)) REDUCED to normal form. ------ 129376/13138770. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) b) c)) 3. ==[ beta ]==> (((a (a a))(^x.x))(b c)) REDUCED to normal form. ------ 129377/13138806. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 129378/13138887. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(^y.b))) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 129379/13138914. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 129380/13139058. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)(b ((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)(b ((a a)(a a)))) 7. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 129381/13139085. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(a (b (^z.z)))) 3. ==[ beta ]==> ((^y.y)(a (b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 129382/13139121. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a)) b)) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a)) b)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a)) b)) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 129383/13139139. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b (a (^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 129384/13139148. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) c) REDUCED to normal form. ------ 129385/13139382. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 129386/13139436. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)((a a)(a a)))) 5. ==[ beta ]==> (a ((a a)((a a)(a a)))) REDUCED to normal form. ------ 129387/13139472. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (((^y.y) b)(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(a a))(^y.y))) 5. ==[ beta ]==> (b (((a a)(a a))(^y.y))) 6. ==[ alpha ]==> (b (((a a)(a a))(^x.x))) REDUCED to normal form. ------ 129388/13139499. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 129389/13139553. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 129390/13139580. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 129391/13139607. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 129392/13139634. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129393/13139661. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 129394/13139697. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 129395/13139724. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(b a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((b a)(b a))) REDUCED to normal form. ------ 129396/13139751. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 129397/13139778. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 129398/13139805. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)((a a)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 129399/13139850. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) b) b)) 3. ==[ beta ]==> (b (((^y.y) b) b)) 4. ==[ alpha ]==> (b (((^x.x) b) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 129400/13139859. ------ 1. ==[ start ]==> ((a (a b))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 129401/13140138. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b ((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b ((^y.y) b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b ((^x.x) b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(b b)) REDUCED to normal form. ------ 129402/13140174. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a)) a)) 5. ==[ beta ]==> ((^y.a)((^z.(a a)) a)) 6. ==[ alpha ]==> ((^x.a)((^y.(a a)) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 129403/13140201. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 129404/13140219. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 129405/13140228. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 129406/13140246. ------ 1. ==[ start ]==> ((a (^b.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((b a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.(a a)))((b a) a)) REDUCED to normal form. ------ 129407/13140462. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 129408/13140489. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) b))) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 129409/13140633. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 129410/13140660. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a b)(^y.a))) 3. ==[ beta ]==> (((a a) a)((a b)(^y.a))) 4. ==[ alpha ]==> (((a a) a)((a b)(^x.a))) REDUCED to normal form. ------ 129411/13140687. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)(^y.b))) REDUCED to normal form. ------ 129412/13140714. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(a a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(a a))) REDUCED to normal form. ------ 129413/13140795. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (((a (^y.y))(^z.(^x1.(^y1.y1))))((a (^y.y))(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) REDUCED to normal form. ------ 129414/13140822. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 129415/13140849. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) b) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 129416/13140876. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 129417/13140939. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 129418/13140966. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 129419/13140993. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 129420/13141047. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 129421/13141074. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 129422/13141128. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 129423/13141164. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(a ((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 129424/13141299. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a b)(^y.y))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 129425/13141380. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 129426/13141407. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 129427/13141461. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 129428/13141497. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129429/13141524. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 129430/13141551. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 129431/13141578. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 129432/13141605. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 129433/13141668. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 129434/13141695. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a b))((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a b))(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a b))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((a (a b))((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((a (a b))((a a)(a a))) REDUCED to normal form. ------ 129435/13141722. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 129436/13141749. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(b a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(b a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(b a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 9. ==[ beta ]==> ((^y.(^z.z))(b a)) 10. ==[ alpha ]==> ((^x.(^y.y))(b a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129437/13141776. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 129438/13141803. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 129439/13141884. ------ 1. ==[ start ]==> ((a (b a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 129440/13142055. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (b a))) 3. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 129441/13142163. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((b a)(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((b a)(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> ((b a)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((b a)((a a)((^x.x) a))) 7. ==[ beta ]==> ((b a)((a a) a)) REDUCED to normal form. ------ 129442/13142190. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 129443/13142244. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)((a a) a))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)((a a) a))) 7. ==[ beta ]==> (((a b)(a b))((a a) a)) REDUCED to normal form. ------ 129444/13142325. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (b ((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 129445/13142388. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((b a)(^x1.x1))) REDUCED to normal form. ------ 129446/13142451. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 129447/13142478. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 129448/13142532. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 129449/13142559. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(z z))(a b))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(a b))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(a b))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(a b))) 7. ==[ beta ]==> (((a a) a)((a b)(a b))) REDUCED to normal form. ------ 129450/13142586. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 129451/13142613. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 129452/13142640. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)(b a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)(b a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(b a))) 5. ==[ beta ]==> (((a a) a)((^y.y)(b a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(b a))) 7. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 129453/13142721. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 129454/13142892. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (b ((a a)(^x.x)))) REDUCED to normal form. ------ 129455/13143000. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129456/13143027. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 129457/13143054. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129458/13143108. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)(a b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)(a b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(a b))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(a b))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a b))) 9. ==[ beta ]==> (((a a)(a a))(a (a b))) REDUCED to normal form. ------ 129459/13143198. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 129460/13143225. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 129461/13143252. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a b)(^z.a))) REDUCED to normal form. ------ 129462/13143306. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.y1))) REDUCED to normal form. ------ 129463/13143342. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(((a a) a)((a a) a))) REDUCED to normal form. ------ 129464/13143369. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 129465/13143396. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 129466/13143423. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a (a a))(a a))((a a)(^y.y))) 6. ==[ alpha ]==> (((a (a a))(a a))((a a)(^x.x))) REDUCED to normal form. ------ 129467/13143450. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 129468/13143477. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 129469/13143504. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 129470/13143558. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 129471/13143612. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 129472/13143639. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 129473/13143648. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 129474/13143675. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a ((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 129475/13143810. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a (a a))(^y.y))) 6. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 129476/13143927. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(^z.z))) REDUCED to normal form. ------ 129477/13143954. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((b a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 129478/13143981. ------ 1. ==[ start ]==> (((a a)(^b.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 129479/13144008. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(z1 z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.(z1 z1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(y1 y1))) REDUCED to normal form. ------ 129480/13144089. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(^z.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 129481/13144116. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(^y.(a a)))) REDUCED to normal form. ------ 129482/13144143. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.a))((a a) a)) REDUCED to normal form. ------ 129483/13144170. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 129484/13144314. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 129485/13144341. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(a a))) REDUCED to normal form. ------ 129486/13144530. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(b (^y.b))) REDUCED to normal form. ------ 129487/13144584. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) b) REDUCED to normal form. ------ 129488/13144611. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((b (a a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((b (a a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 129489/13144638. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 129490/13144917. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(b ((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129491/13144953. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.b) a)) 3. ==[ beta ]==> ((b b)((^y.b) a)) 4. ==[ alpha ]==> ((b b)((^x.b) a)) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 129492/13144998. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 129493/13145025. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 129494/13145079. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((b a)(b a))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (((b a)(b a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 129495/13145142. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 129496/13145169. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 129497/13145223. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 129498/13145277. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a)(^x1.a))) REDUCED to normal form. ------ 129499/13145304. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((a a) a) a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((a a) a) a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 129500/13145331. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.z) b)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y) b)) 5. ==[ beta ]==> ((((a a)(a a))(^x.x)) b) REDUCED to normal form. ------ 129501/13145367. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 129502/13145394. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 129503/13145421. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 129504/13145448. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.a)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.a)) REDUCED to normal form. ------ 129505/13145583. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 129506/13145637. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 129507/13145664. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((b (a (^x.x)))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 129508/13145691. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 129509/13145718. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 129510/13145889. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 129511/13145997. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129512/13146033. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (a a))(^y.y))) 3. ==[ beta ]==> ((b c)((a (a a))(^y.y))) 4. ==[ alpha ]==> ((b c)((a (a a))(^x.x))) REDUCED to normal form. ------ 129513/13146060. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 129514/13146168. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a) b)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a) b)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) b)) 5. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 129515/13146267. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (b (((^z.z) a)(a a))) 4. ==[ alpha ]==> (b (((^x.x) a)(a a))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 129516/13146276. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.a) b)) 3. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 129517/13146303. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 129518/13146384. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 129519/13146411. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a a)(^z.a))) 3. ==[ beta ]==> ((b (^y.a))((a a)(^z.a))) 4. ==[ alpha ]==> ((b (^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 129520/13146438. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 129521/13146501. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.a)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.a)) REDUCED to normal form. ------ 129522/13146555. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 129523/13146582. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a (^z.a))) REDUCED to normal form. ------ 129524/13146609. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(a a))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(a a))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 129525/13146636. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 129526/13146663. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 129527/13146690. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 129528/13146717. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(b (^y.y))) REDUCED to normal form. ------ 129529/13146771. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(a a)) REDUCED to normal form. ------ 129530/13146798. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 129531/13146825. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 129532/13156470. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 129533/13156548. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 129534/13156857. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 129535/13157439. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 129536/13157619. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) b) b)) 3. ==[ beta ]==> ((((^y.y) b) b) b) 4. ==[ alpha ]==> ((((^x.x) b) b) b) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 129537/13157937. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((z z)(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.((z z)(z z)))) 6. ==[ alpha ]==> ((^x.a)(^y.((y y)(y y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 129538/13158603. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.b)(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129539/13158927. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 129540/13160124. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(b a))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(b a))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(b a))) REDUCED to normal form. ------ 129541/13161084. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129542/13161438. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 129543/13161897. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 129544/13162398. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(^x1.a))(((^y.y)(^z.z))(^x1.a)))((((^y.y)(^z.z))(^x1.a))(((^y.y)(^z.z))(^x1.a)))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.a)))((((^x2.x2)(^y2.y2))(^z2.a))(((^x3.x3)(^y3.y3))(^z3.a)))) 5. ==[ beta ]==> ((((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.a)))((((^x2.x2)(^y2.y2))(^z2.a))(((^x3.x3)(^y3.y3))(^z3.a)))) 6. ==[ alpha ]==> ((((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.a)))((((^z1.z1)(^x2.x2))(^y2.a))(((^z2.z2)(^x3.x3))(^y3.a)))) 7. ==[ beta ]==> (((^y.a)(((^z.z)(^x1.x1))(^y1.a)))((((^z1.z1)(^x2.x2))(^y2.a))(((^z2.z2)(^x3.x3))(^y3.a)))) 8. ==[ alpha ]==> (((^x.a)(((^y.y)(^z.z))(^x1.a)))((((^y1.y1)(^z1.z1))(^x2.a))(((^y2.y2)(^z2.z2))(^x3.a)))) 9. ==[ beta ]==> (a ((((^y1.y1)(^z1.z1))(^x2.a))(((^y2.y2)(^z2.z2))(^x3.a)))) 10. ==[ alpha ]==> (a ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.a)))) 11. ==[ beta ]==> (a (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.a)))) 12. ==[ alpha ]==> (a (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.a)))) 13. ==[ beta ]==> (a ((^y.a)(((^z.z)(^x1.x1))(^y1.a)))) 14. ==[ alpha ]==> (a ((^x.a)(((^y.y)(^z.z))(^x1.a)))) 15. ==[ beta ]==> (a a) REDUCED to normal form. ------ 129545/13162716. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(y b))) 3. ==[ beta ]==> ((b b)(^y.(y b))) 4. ==[ alpha ]==> ((b b)(^x.(x b))) REDUCED to normal form. ------ 129546/13163478. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129547/13163652. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 129548/13163895. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 129549/13164264. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^c.c)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 129550/13164345. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.c)) REDUCED to normal form. ------ 129551/13164453. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^c.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.b)) 3. ==[ beta ]==> (((a a)(a b))(^y.b)) 4. ==[ alpha ]==> (((a a)(a b))(^x.b)) REDUCED to normal form. ------ 129552/13164561. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^c.a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.a)) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.a)) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.a)) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 129553/13164588. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 129554/13164636. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> (a (((a a)(a a))(a (^y.y)))) 4. ==[ alpha ]==> (a (((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 129555/13164663. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) b)((^y.y) a))) 3. ==[ beta ]==> (((a a) a)(b ((^y.y) a))) 4. ==[ alpha ]==> (((a a) a)(b ((^x.x) a))) 5. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 129556/13164690. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 129557/13164717. ------ 1. ==[ start ]==> (((^a.a) b)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (b ((b a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((b a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((b a)(^y.y))) 6. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 129558/13164744. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 129559/13164771. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))(a b))) 3. ==[ beta ]==> (((a a) b)((a a)(a b))) REDUCED to normal form. ------ 129560/13164798. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)(a a))) REDUCED to normal form. ------ 129561/13164825. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)((a a)(^z.z)))) REDUCED to normal form. ------ 129562/13164852. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(b a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 129563/13164906. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 129564/13165059. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 129565/13165158. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 129566/13165185. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a b)(^y.(a a)))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.(a a)))) REDUCED to normal form. ------ 129567/13165248. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129568/13165302. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1) b))) 5. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 7. ==[ beta ]==> ((^y.a)((^z.z) b)) 8. ==[ alpha ]==> ((^x.a)((^y.y) b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 129569/13165329. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 129570/13165356. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b (^z.z)))) 5. ==[ beta ]==> ((^y.y)(b (^z.z))) 6. ==[ alpha ]==> ((^x.x)(b (^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129571/13165437. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 129572/13165572. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129573/13165653. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 129574/13165716. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((a a)(a a)))) REDUCED to normal form. ------ 129575/13165743. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (b (^z.z)))) REDUCED to normal form. ------ 129576/13165770. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((a (^y.a))(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 129577/13165797. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 129578/13165824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 7. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 9. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 129579/13166085. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (^z.(a a)))) 5. ==[ beta ]==> (a (b (^z.(a a)))) 6. ==[ alpha ]==> (a (b (^x.(a a)))) REDUCED to normal form. ------ 129580/13166166. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 129581/13166193. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 129582/13166328. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 129583/13166400. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a (a a)))(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a (a a)))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 129584/13166427. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 129585/13166481. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a)(a a)) a)) REDUCED to normal form. ------ 129586/13166508. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) b) b)) 2. ==[ alpha ]==> ((a (a b))(((^x.x) b) b)) 3. ==[ beta ]==> ((a (a b))(b b)) REDUCED to normal form. ------ 129587/13166517. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 129588/13166679. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 129589/13166706. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 129590/13166769. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 129591/13166787. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 129592/13166796. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b ((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(b b)) REDUCED to normal form. ------ 129593/13166823. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a ((a a)(a a)))) 5. ==[ beta ]==> ((^y.a)(a ((a a)(a a)))) 6. ==[ alpha ]==> ((^x.a)(a ((a a)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 129594/13166850. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 129595/13166877. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 129596/13167066. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> (b ((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> (b ((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 129597/13167111. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(a a))(c (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(a a))(c (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 129598/13167138. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129599/13167192. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 129600/13167273. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129601/13167327. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)((a a) a))) 5. ==[ beta ]==> ((a a)((^y.b)((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.b)((a a) a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 129602/13167354. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 129603/13167408. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((a a)(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((a a)(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))((a a)(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a)(^z.z)))) 11. ==[ beta ]==> ((^y.(y y))((a a)(^z.z))) 12. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 13. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 14. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 129604/13167489. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 129605/13167561. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((b a) c)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((b a) c)) 3. ==[ beta ]==> (((a a)(a a))((b a) c)) REDUCED to normal form. ------ 129606/13167813. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129607/13167957. ------ 1. ==[ start ]==> (((a b) c)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) c)((a b)(^y.y))) 4. ==[ alpha ]==> (((a b) c)((a b)(^x.x))) REDUCED to normal form. ------ 129608/13167984. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a a) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 129609/13168011. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a b))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a b)) REDUCED to normal form. ------ 129610/13168065. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 129611/13168092. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(b a))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(b a))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(b a))) REDUCED to normal form. ------ 129612/13168110. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 129613/13168317. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.b))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.b))) 7. ==[ beta ]==> (((a (^x.x))(a a))(^z.b)) 8. ==[ alpha ]==> (((a (^x.x))(a a))(^y.b)) REDUCED to normal form. ------ 129614/13168344. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> ((a (a b))((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a (a b))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 129615/13168425. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 129616/13168452. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (((a b) a)((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (((a b) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 129617/13168479. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((b a) b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((b a) b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((b a) b)) REDUCED to normal form. ------ 129618/13168623. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129619/13168767. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((b a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((b a)(a a))) REDUCED to normal form. ------ 129620/13168875. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 129621/13168902. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a (a a))(^x.b))((a a) a)) REDUCED to normal form. ------ 129622/13168956. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 129623/13168974. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c (^y.(^z.z)))) 3. ==[ beta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 129624/13168983. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 129625/13169010. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(b a))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(b a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(b a))) REDUCED to normal form. ------ 129626/13169100. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a a)(b a))((a a)(^y.a))) 4. ==[ alpha ]==> (((a a)(b a))((a a)(^x.a))) REDUCED to normal form. ------ 129627/13169127. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 129628/13169154. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 129629/13169181. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a (a a))(a b))(^y.a)) 6. ==[ alpha ]==> (((a (a a))(a b))(^x.a)) REDUCED to normal form. ------ 129630/13169208. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (a a))(^z.b))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))(^y.b))) 5. ==[ beta ]==> (((a a) a)((a (a a))(^y.b))) 6. ==[ alpha ]==> (((a a) a)((a (a a))(^x.b))) REDUCED to normal form. ------ 129631/13169235. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.(a a)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 129632/13169262. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 129633/13169316. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((b a) a)) REDUCED to normal form. ------ 129634/13169379. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(a a))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(a a))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 129635/13169460. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 129636/13169541. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129637/13169658. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a b) a)) REDUCED to normal form. ------ 129638/13169685. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 129639/13169766. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (a b))) REDUCED to normal form. ------ 129640/13169793. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 129641/13169973. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 129642/13170018. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a (^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.b))) REDUCED to normal form. ------ 129643/13170045. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 129644/13170099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((^y.y)(a b))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((^x.x)(a b))(((a a)(^y.y)) a)) 5. ==[ beta ]==> ((a b)(((a a)(^y.y)) a)) 6. ==[ alpha ]==> ((a b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 129645/13170126. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a)) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a) b)) REDUCED to normal form. ------ 129646/13170153. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b) c)) 3. ==[ beta ]==> (((a b)(^y.y))((a b) c)) 4. ==[ alpha ]==> (((a b)(^x.x))((a b) c)) REDUCED to normal form. ------ 129647/13170297. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129648/13170621. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.b)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 129649/13170702. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)(^y1.y1))) 10. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.x1))) 11. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 12. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 129650/13170783. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 129651/13170891. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129652/13171017. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(a a)) a)) 3. ==[ beta ]==> ((a (b a))((^y.(a a)) a)) 4. ==[ alpha ]==> ((a (b a))((^x.(a a)) a)) 5. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 129653/13171044. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.b) b)) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) b) REDUCED to normal form. ------ 129654/13171233. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a b)(^x1.x1))) REDUCED to normal form. ------ 129655/13171260. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b (a a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b (a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 129656/13171287. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(^y.a))) 5. ==[ beta ]==> ((a ((a a)(a a)))(^y.a)) 6. ==[ alpha ]==> ((a ((a a)(a a)))(^x.a)) REDUCED to normal form. ------ 129657/13171323. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a a))) 6. ==[ alpha ]==> ((^x.(x x))(a (a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 129658/13171458. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 129659/13171566. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129660/13171602. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a (a b))) 2. ==[ alpha ]==> ((((^x.x) b) b)(a (a b))) 3. ==[ beta ]==> ((b b)(a (a b))) REDUCED to normal form. ------ 129661/13171629. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((a a) a)(a a))) REDUCED to normal form. ------ 129662/13171683. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a (a a)) a)) REDUCED to normal form. ------ 129663/13171710. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (a (a a)))) REDUCED to normal form. ------ 129664/13171728. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c (^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))(c (^y.(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 129665/13171809. ------ 1. ==[ start ]==> (((^a.b)(a b))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)(a a))) 3. ==[ beta ]==> (b ((^y.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 129666/13171917. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129667/13172151. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y)) b)) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 129668/13172178. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b)(a b))((^x.(x x)) c)) 3. ==[ beta ]==> (((a b)(a b))(c c)) REDUCED to normal form. ------ 129669/13172286. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 129670/13172313. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 129671/13172340. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(a (^y.a))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(a (^x.a))) REDUCED to normal form. ------ 129672/13172367. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 129673/13172457. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(x2 x2))(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(x2 x2))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129674/13172538. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 129675/13172646. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129676/13172754. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 129677/13172781. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 129678/13172835. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 129679/13172925. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 129680/13172952. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 129681/13173024. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129682/13173060. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(b c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(b c)) 3. ==[ beta ]==> ((b (^y.a))(b c)) 4. ==[ alpha ]==> ((b (^x.a))(b c)) REDUCED to normal form. ------ 129683/13173150. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a a) c)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a a) c)) REDUCED to normal form. ------ 129684/13173177. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.a) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a))) a) REDUCED to normal form. ------ 129685/13173204. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a b)((^y.(^z.z)) b)) 6. ==[ alpha ]==> ((a b)((^x.(^y.y)) b)) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 129686/13173258. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(b a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((b a)((a (^y.y))(^z.z))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 129687/13173285. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 129688/13173312. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (^y.y)) a)) 3. ==[ beta ]==> (((a b)(a a))((a (^y.y)) a)) 4. ==[ alpha ]==> (((a b)(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 129689/13173339. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a a) b)) 3. ==[ beta ]==> (((a a)(a b))((a a) b)) REDUCED to normal form. ------ 129690/13173366. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 129691/13173420. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a a)(^z.z))) REDUCED to normal form. ------ 129692/13173447. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a a) a)) 3. ==[ beta ]==> ((b ((^y.y) a))((a a) a)) 4. ==[ alpha ]==> ((b ((^x.x) a))((a a) a)) 5. ==[ beta ]==> ((b a)((a a) a)) REDUCED to normal form. ------ 129693/13173474. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y) a)) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x))) a) REDUCED to normal form. ------ 129694/13173500. ------ 1. ==[ start ]==> (^a.((b (^a.a))(a a))) 2. ==[ alpha ]==> (^x.((b (^y.y))(x x))) REDUCED to normal form. ------ 129695/13173501. ------ 1. ==[ start ]==> (a ((b (^a.a))(a a))) 2. ==[ alpha ]==> (a ((b (^x.x))(a a))) REDUCED to normal form. ------ 129696/13182396. ------ 1. ==[ start ]==> ((^a.a)((b (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.x)((b (^y.y))(a a))) 3. ==[ beta ]==> ((b (^y.y))(a a)) 4. ==[ alpha ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 129697/13182423. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^y.y)))(((a a)(a a))(a (^y.y)))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 129698/13182450. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 129699/13182531. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^z.z))((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 129700/13182720. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))((a a)(a a)))) 3. ==[ eta ]==> ((^y.y)((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 129701/13182891. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 129702/13183146. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 129703/13183215. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 129704/13183773. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((((^y.y)(^z.z))((a a)(^x1.x1)))(((^y.y)(^z.z))((a a)(^x1.x1))))(((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1))))(((^x2.x2)(^y2.y2))((a a)(^z2.z2)))) 5. ==[ beta ]==> ((((^y.y)((a a)(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1))))(((^x2.x2)(^y2.y2))((a a)(^z2.z2)))) 6. ==[ alpha ]==> ((((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1))))(((^z1.z1)(^x2.x2))((a a)(^y2.y2)))) 7. ==[ beta ]==> ((((a a)(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1))))(((^z1.z1)(^x2.x2))((a a)(^y2.y2)))) 8. ==[ alpha ]==> ((((a a)(^x.x))(((^y.y)(^z.z))((a a)(^x1.x1))))(((^y1.y1)(^z1.z1))((a a)(^x2.x2)))) 9. ==[ beta ]==> ((((a a)(^x.x))((^z.z)((a a)(^x1.x1))))(((^y1.y1)(^z1.z1))((a a)(^x2.x2)))) 10. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)((a a)(^z.z))))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 11. ==[ beta ]==> ((((a a)(^x.x))((a a)(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 12. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 13. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)((a a)(^y1.y1)))) 14. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)((a a)(^x1.x1)))) 15. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^x1.x1))) 16. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 129705/13184106. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 129706/13184604. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 129707/13184673. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (^y.(((^z.(^x1.(^y1.y1))) c)((^z.(^x1.(^y1.y1))) c))) 4. ==[ alpha ]==> (^x.(((^y.(^z.(^x1.x1))) c)((^y1.(^z1.(^x2.x2))) c))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.(^z1.(^x2.x2))) c))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.(^y1.(^z1.z1))) c))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 129708/13184880. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)(b a))(((^z.z) a)(b a)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)(b a))(((^z.z) a)(b a)))) 5. ==[ beta ]==> ((((^y.y) a)(b a))(((^z.z) a)(b a))) 6. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a)(b a))) 7. ==[ beta ]==> ((a (b a))(((^y.y) a)(b a))) 8. ==[ alpha ]==> ((a (b a))(((^x.x) a)(b a))) 9. ==[ beta ]==> ((a (b a))(a (b a))) REDUCED to normal form. ------ 129709/13185270. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 129710/13185279. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 129711/13185927. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129712/13186818. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) REDUCED to normal form. ------ 129713/13186860. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 129714/13187751. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129715/13188066. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c (a b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c (a b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 129716/13188357. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 129717/13188564. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 129718/13188573. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 129719/13188798. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a (b a))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((a (b a))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((a (b a))(^x.(x x))) REDUCED to normal form. ------ 129720/13189383. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.y))) 3. ==[ beta ]==> ((b b)(^y.(^z.y))) 4. ==[ alpha ]==> ((b b)(^x.(^y.x))) REDUCED to normal form. ------ 129721/13189572. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.b))) REDUCED to normal form. ------ 129722/13189734. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 129723/13189905. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.((z z) z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.((z z) z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 129724/13190145. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(c d)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(c d)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129725/13190463. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 129726/13190868. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 129727/13190958. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 129728/13191093. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^a.c)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.c)) 3. ==[ beta ]==> (((a b)(a a))(^y.c)) 4. ==[ alpha ]==> (((a b)(a a))(^x.c)) REDUCED to normal form. ------ 129729/13191147. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 129730/13191228. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.b)) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.b)) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.b)) 5. ==[ beta ]==> ((b a)(^y.b)) 6. ==[ alpha ]==> ((b a)(^x.b)) REDUCED to normal form. ------ 129731/13191255. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 129732/13191294. ------ 1. ==[ start ]==> ((a a)((b (^a.a))(a a))) 2. ==[ alpha ]==> ((a a)((b (^x.x))(a a))) REDUCED to normal form. ------ 129733/13191321. ------ 1. ==[ start ]==> ((a (a a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 129734/13191348. ------ 1. ==[ start ]==> ((a b)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((a b)(((^x.x) b)((^y.y) a))) 3. ==[ beta ]==> ((a b)(b ((^y.y) a))) 4. ==[ alpha ]==> ((a b)(b ((^x.x) a))) 5. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 129735/13191402. ------ 1. ==[ start ]==> (((a a)(a a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((b a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)(a a))((b a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))((b a)(^x.x))) REDUCED to normal form. ------ 129736/13191429. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 129737/13191564. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 129738/13191591. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a ((^z.z) b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y) b))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a b)) REDUCED to normal form. ------ 129739/13191618. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((a a)((a (^y.y))((a a)(a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 129740/13191708. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (a (((a a)(a a))(^y.(^z.z)))) 6. ==[ alpha ]==> (a (((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 129741/13191717. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 129742/13191735. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((^y.y) b)(^z.a)) 6. ==[ alpha ]==> (((^x.x) b)(^y.a)) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 129743/13191744. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 129744/13191771. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 129745/13191789. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 129746/13191879. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 129747/13191960. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a b)((a (^y.(^z.z)))(a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 129748/13191978. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 7. ==[ beta ]==> (((^y.y) a)(^z.z)) 8. ==[ alpha ]==> (((^x.x) a)(^y.y)) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 129749/13191987. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)((^y.y) b))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 129750/13192014. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 129751/13192041. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.z))) REDUCED to normal form. ------ 129752/13192086. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a)(a a)) b)) 3. ==[ beta ]==> (((a a)(a a))(((a a)(a a)) b)) REDUCED to normal form. ------ 129753/13192113. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b) c)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b c)) REDUCED to normal form. ------ 129754/13192203. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 129755/13192338. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a)) b)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 129756/13192365. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.z))) 5. ==[ beta ]==> (a ((^y.a)(^z.z))) 6. ==[ alpha ]==> (a ((^x.a)(^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 129757/13192392. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 129758/13192536. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((b a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(a (a a)))) REDUCED to normal form. ------ 129759/13192563. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 129760/13192590. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))((a a) a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))((a a) a))) 7. ==[ beta ]==> ((a a)((a a)((a a) a))) REDUCED to normal form. ------ 129761/13192617. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a b)(a b))) REDUCED to normal form. ------ 129762/13192644. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(((a a) a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)(((a a) a)(a a))) REDUCED to normal form. ------ 129763/13192671. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((a ((a a) a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 129764/13192842. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 129765/13192869. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 129766/13192878. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 129767/13192923. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 129768/13192932. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 129769/13192959. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129770/13192986. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 129771/13193004. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 129772/13193175. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a))(^z.z))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 129773/13193193. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) b) b)) 3. ==[ beta ]==> ((^y.b)(((^z.z) b) b)) 4. ==[ alpha ]==> ((^x.b)(((^y.y) b) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 129774/13193337. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)(^y.b))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 129775/13193364. ------ 1. ==[ start ]==> (((a b) a)((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 129776/13193391. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 129777/13193445. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 129778/13193472. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 129779/13193499. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 129780/13193544. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y) b)) 3. ==[ beta ]==> (b ((^y.y) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 129781/13193571. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 129782/13193589. ------ 1. ==[ start ]==> (((a a)(a b))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))((b a)((^x.x) a))) 3. ==[ beta ]==> (((a a)(a b))((b a) a)) REDUCED to normal form. ------ 129783/13193616. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 129784/13193643. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((a a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 10. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 129785/13193670. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b)((a a) a))) REDUCED to normal form. ------ 129786/13193697. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(((a a) a)(a b))) 6. ==[ alpha ]==> (((^x.x) a)(((a a) a)(a b))) 7. ==[ beta ]==> (a (((a a) a)(a b))) REDUCED to normal form. ------ 129787/13193724. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)(a a))) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(a a))) 7. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 129788/13193751. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 129789/13193778. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(b a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(b a))) 5. ==[ beta ]==> ((a (a a))(a (b a))) REDUCED to normal form. ------ 129790/13193868. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.z))) 7. ==[ beta ]==> (((^y.y) b)(^z.z)) 8. ==[ alpha ]==> (((^x.x) b)(^y.y)) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129791/13193949. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 129792/13193958. ------ 1. ==[ start ]==> (((a b) b)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 129793/13193985. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 129794/13194003. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.a))) 5. ==[ beta ]==> ((a a)((a b)(^y.a))) 6. ==[ alpha ]==> ((a a)((a b)(^x.a))) REDUCED to normal form. ------ 129795/13194012. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 129796/13194030. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.b))) 5. ==[ beta ]==> (((a a) a)(^y.b)) 6. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 129797/13194039. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 129798/13194093. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 129799/13194120. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(b a))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(b a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(b a))) 7. ==[ beta ]==> (((^y.a)(b a))((^y.a)(b a))) 8. ==[ alpha ]==> (((^x.a)(b a))((^y.a)(b a))) 9. ==[ beta ]==> (a ((^y.a)(b a))) 10. ==[ alpha ]==> (a ((^x.a)(b a))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 129800/13194147. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 129801/13194165. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> (b ((a a)(^z.z))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 129802/13194174. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 129803/13194201. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 129804/13194390. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129805/13194768. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (^d.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (^z.a))) 3. ==[ beta ]==> ((a (^y.b))(c (^z.a))) 4. ==[ alpha ]==> ((a (^x.b))(c (^y.a))) REDUCED to normal form. ------ 129806/13194822. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129807/13194849. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 129808/13194867. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 129809/13194930. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 129810/13195488. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((b a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((b a)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 129811/13195659. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 129812/13195713. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 129813/13195758. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a)(^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 129814/13196325. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(a a)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129815/13196469. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(c (^z.(a a)))) 6. ==[ alpha ]==> ((^x.b)(c (^y.(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 129816/13196577. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 129817/13196622. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129818/13196649. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 129819/13196928. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129820/13196964. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c (a b))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c (a b))) 3. ==[ beta ]==> ((a b)(c (a b))) REDUCED to normal form. ------ 129821/13197252. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 129822/13197279. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(a a))(a a))) 3. ==[ beta ]==> ((b a)((^y.(a a))(a a))) 4. ==[ alpha ]==> ((b a)((^x.(a a))(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 129823/13197297. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 129824/13197306. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 129825/13197324. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((a a) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 129826/13197378. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 129827/13197414. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)((a a) a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 129828/13197441. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 129829/13197459. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a a)(^y.(a a)))) 3. ==[ beta ]==> (b ((a a)(^y.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 129830/13197468. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(a a))) 5. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 129831/13197495. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 129832/13197522. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 129833/13197576. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 129834/13197603. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((b (^x.x))(^z.z)) 8. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 129835/13197639. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c ((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c ((a a) a))) 3. ==[ beta ]==> (((a a) b)(c ((a a) a))) REDUCED to normal form. ------ 129836/13197666. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b (a b))) REDUCED to normal form. ------ 129837/13197693. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (b a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (b a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((a (b a))(a (a a))) REDUCED to normal form. ------ 129838/13197720. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a b)(a a))) REDUCED to normal form. ------ 129839/13197747. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(((a a) a)(a (^y.y)))) 8. ==[ alpha ]==> ((a a)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 129840/13197774. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(a b))((^y.y) a)) 6. ==[ alpha ]==> ((((a a) a)(a b))((^x.x) a)) 7. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 129841/13197801. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 129842/13197828. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 10. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 129843/13197855. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 129844/13197999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 129845/13198134. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 129846/13198278. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.y)(^z.b))) 3. ==[ beta ]==> ((b b)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((b b)((^x.x)(^y.b))) 5. ==[ beta ]==> ((b b)(^y.b)) 6. ==[ alpha ]==> ((b b)(^x.b)) REDUCED to normal form. ------ 129847/13198350. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129848/13198467. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.b))) REDUCED to normal form. ------ 129849/13198485. ------ 1. ==[ start ]==> (((^a.b)(a b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(((a a) a)(^y.y))) 3. ==[ beta ]==> (b (((a a) a)(^y.y))) 4. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 129850/13198494. ------ 1. ==[ start ]==> (((a b)(^a.b))((^c.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(a a))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 129851/13198548. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^y1.y1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^y1.y1) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^x1.x1) a))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 129852/13198593. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129853/13198602. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 129854/13198629. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 129855/13198773. ------ 1. ==[ start ]==> (((a (a a))(b a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(b a))(b (^y.y))) 4. ==[ alpha ]==> (((a (a a))(b a))(b (^x.x))) REDUCED to normal form. ------ 129856/13198800. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(a ((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a ((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))(a ((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 129857/13198827. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(a a))) 7. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 129858/13198854. ------ 1. ==[ start ]==> (((a b)(a b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 129859/13198881. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a a)((a a) a))(a ((^y.y) a))) 6. ==[ alpha ]==> (((a a)((a a) a))(a ((^x.x) a))) 7. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 129860/13198908. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 129861/13199043. ------ 1. ==[ start ]==> ((a (b (^a.a)))(c d)) 2. ==[ alpha ]==> ((a (b (^x.x)))(c d)) REDUCED to normal form. ------ 129862/13199133. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (a a)) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (a a)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129863/13199358. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(a (^y.(^z.z)))) 3. ==[ beta ]==> ((b c)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((b c)(a (^x.(^y.y)))) REDUCED to normal form. ------ 129864/13199385. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(x x))(a a))) 3. ==[ beta ]==> ((((a a)(a a)) b)((a a)(a a))) REDUCED to normal form. ------ 129865/13199430. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 129866/13199457. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 129867/13199493. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 129868/13199511. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1) a) b)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a b)) REDUCED to normal form. ------ 129869/13199520. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 129870/13199592. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(z z)) a)) 3. ==[ beta ]==> (b ((^z.(z z)) a)) 4. ==[ alpha ]==> (b ((^x.(x x)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 129871/13199628. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 129872/13199700. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129873/13199709. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 129874/13199736. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 129875/13199763. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 129876/13199826. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 129877/13199853. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a a)) REDUCED to normal form. ------ 129878/13199880. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (^z.z))(a a))) 3. ==[ beta ]==> ((a ((^y.y) b))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(a a))) 5. ==[ beta ]==> ((a b)((a (^y.y))(a a))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(a a))) REDUCED to normal form. ------ 129879/13199907. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a a)(a (^z.z)))) REDUCED to normal form. ------ 129880/13199934. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(c a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(c a)) 3. ==[ beta ]==> (((^y.y)(b a))(c a)) 4. ==[ alpha ]==> (((^x.x)(b a))(c a)) 5. ==[ beta ]==> ((b a)(c a)) REDUCED to normal form. ------ 129881/13199961. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(b b)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(b b)) REDUCED to normal form. ------ 129882/13199988. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(a c)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(a c)) 3. ==[ beta ]==> (((a b)(a a))(a c)) REDUCED to normal form. ------ 129883/13200015. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(b (a a))) 3. ==[ beta ]==> (((a a)(a b))(b (a a))) REDUCED to normal form. ------ 129884/13200042. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a (a (^y.y)))) REDUCED to normal form. ------ 129885/13200096. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(b a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(b a)) REDUCED to normal form. ------ 129886/13200123. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(a b)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(a b)) 3. ==[ beta ]==> ((b ((^y.y) a))(a b)) 4. ==[ alpha ]==> ((b ((^x.x) a))(a b)) 5. ==[ beta ]==> ((b a)(a b)) REDUCED to normal form. ------ 129887/13200150. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 129888/13209099. ------ 1. ==[ start ]==> ((^a.(^a.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((b (^z.z))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129889/13209180. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 129890/13209342. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (^x.((^z.z)(b a))) 6. ==[ alpha ]==> (^x.((^y.y)(b a))) 7. ==[ beta ]==> (^x.(b a)) REDUCED to normal form. ------ 129891/13209684. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.b)((^z.z)(a a)))(((^y.b)((^z.z)(a a)))((^y.b)((^z.z)(a a))))) 4. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.b)((^x1.x1)(a a)))((^y1.b)((^z1.z1)(a a))))) 5. ==[ beta ]==> (b (((^z.b)((^x1.x1)(a a)))((^y1.b)((^z1.z1)(a a))))) 6. ==[ alpha ]==> (b (((^x.b)((^y.y)(a a)))((^z.b)((^x1.x1)(a a))))) 7. ==[ beta ]==> (b (b ((^z.b)((^x1.x1)(a a))))) 8. ==[ alpha ]==> (b (b ((^x.b)((^y.y)(a a))))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 129892/13209840. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 129893/13210035. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129894/13210956. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.((a a)(a a)))) REDUCED to normal form. ------ 129895/13210980. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((^y.(a a))(^z.z)) b) 4. ==[ alpha ]==> (((^x.(a a))(^y.y)) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 129896/13211367. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(((a (^z.(^x1.x1)))(a (^y1.y1)))((a (^z.(^x1.x1)))(a (^y1.y1))))) 4. ==[ alpha ]==> (^x.(((a (^y.(^z.z)))(a (^x1.x1)))((a (^y1.(^z1.z1)))(a (^x2.x2))))) REDUCED to normal form. ------ 129897/13211973. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 129898/13212927. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) a)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b) a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 129899/13213005. ------ 1. ==[ start ]==> ((^a.(b a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.a))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129900/13213791. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(z a))) REDUCED to normal form. ------ 129901/13214313. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (b (^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 129902/13214574. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.((a a)(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.((a a)(^z.z)))) 6. ==[ alpha ]==> ((a b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 129903/13214760. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 129904/13215267. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 129905/13215492. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 129906/13215708. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.(x1 x1)))) REDUCED to normal form. ------ 129907/13216428. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 129908/13216599. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 129909/13216839. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 129910/13217391. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(z (z z)))) 3. ==[ beta ]==> (b (^z.(z (z z)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 129911/13217652. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 129912/13217733. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.y))) 5. ==[ beta ]==> ((b a)(^y.(^z.y))) 6. ==[ alpha ]==> ((b a)(^x.(^y.x))) REDUCED to normal form. ------ 129913/13217787. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 129914/13217841. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 129915/13217895. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 129916/13217922. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(a a))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(a a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(a a))) 5. ==[ beta ]==> ((b a)(^y.(a a))) 6. ==[ alpha ]==> ((b a)(^x.(a a))) REDUCED to normal form. ------ 129917/13217949. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 129918/13218006. ------ 1. ==[ start ]==> ((a (^a.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((b (^y.y))(a a))) REDUCED to normal form. ------ 129919/13218033. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 129920/13218060. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> ((a a)(((^y.y) b)((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)((^y.y) a))) 5. ==[ beta ]==> ((a a)(b ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(b ((^x.x) a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 129921/13218087. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a (a a)))) REDUCED to normal form. ------ 129922/13218141. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 129923/13218168. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (((^y.y)(a a))(a b)) 6. ==[ alpha ]==> (((^x.x)(a a))(a b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 129924/13218195. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((a b)(a a))) REDUCED to normal form. ------ 129925/13218222. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 129926/13218249. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(b a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(b a))) 5. ==[ beta ]==> ((a (^x.a))(b a)) REDUCED to normal form. ------ 129927/13218330. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 129928/13218357. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 129929/13218393. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((b (^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)((b (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a a)((b (^x.x))(^y.y))) REDUCED to normal form. ------ 129930/13218420. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 129931/13218447. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b (^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.a))) REDUCED to normal form. ------ 129932/13218474. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 129933/13218564. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(a a))(a b))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 129934/13218582. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a b)(^y.(a a)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(a a)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(a a)))) REDUCED to normal form. ------ 129935/13218591. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 129936/13218663. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)((a (a a))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 129937/13218690. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a (a a)) a)(a (^y.y))) 4. ==[ alpha ]==> (((a (a a)) a)(a (^x.x))) REDUCED to normal form. ------ 129938/13218771. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b (^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b (^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b (^z.z)) a)) REDUCED to normal form. ------ 129939/13218798. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(a a)) b)) REDUCED to normal form. ------ 129940/13218834. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.a)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.a)) REDUCED to normal form. ------ 129941/13218861. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 129942/13218942. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 129943/13219113. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 129944/13219167. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 129945/13219203. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) c)) 5. ==[ beta ]==> ((^y.y)((^z.z) c)) 6. ==[ alpha ]==> ((^x.x)((^y.y) c)) 7. ==[ beta ]==> ((^y.y) c) 8. ==[ alpha ]==> ((^x.x) c) 9. ==[ beta ]==> c REDUCED to normal form. ------ 129946/13219410. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(b a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(b a))) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 129947/13219464. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> (a ((a (^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> (a ((a (^x.x))((^y.y) b))) 7. ==[ beta ]==> (a ((a (^x.x)) b)) REDUCED to normal form. ------ 129948/13219527. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 129949/13219581. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) REDUCED to normal form. ------ 129950/13219608. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((b a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.(y y)))((b a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((b a)(^y.(y y)))) REDUCED to normal form. ------ 129951/13219635. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 129952/13219689. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(^y.b))) REDUCED to normal form. ------ 129953/13219752. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 129954/13219779. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(y y))(b a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))(b a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(b a))) 5. ==[ beta ]==> ((a (a (a a)))((b a)(b a))) REDUCED to normal form. ------ 129955/13219806. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 129956/13219833. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) b))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 129957/13219860. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)((a a)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(a a))) REDUCED to normal form. ------ 129958/13219878. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b) a)(((a a)(a a)) a)) 3. ==[ beta ]==> (b (((a a)(a a)) a)) REDUCED to normal form. ------ 129959/13219887. ------ 1. ==[ start ]==> ((a (a b))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a b))((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 129960/13220247. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) b)(a a))) 3. ==[ beta ]==> (b (((^y.y) b)(a a))) 4. ==[ alpha ]==> (b (((^x.x) b)(a a))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 129961/13220256. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.b) b)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y) b)) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 129962/13220274. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 129963/13220490. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(b a))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(b a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 129964/13220517. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 129965/13220661. ------ 1. ==[ start ]==> (((a b) b)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 129966/13220688. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 129967/13220715. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b)(^y.a))) REDUCED to normal form. ------ 129968/13220742. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)(^z.b))) REDUCED to normal form. ------ 129969/13220796. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 129970/13220850. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 129971/13220877. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 129972/13220904. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z) b) a)) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) b) a)) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b) a)) 5. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 129973/13220940. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 129974/13221021. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 129975/13221048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a (a a))((^y.b)(^z.a))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(^y.a))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 129976/13221102. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 129977/13221192. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 129978/13221327. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 129979/13221408. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a b))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a b))) 7. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 129980/13221435. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 129981/13221489. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y))(b a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))(b a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(b a))) REDUCED to normal form. ------ 129982/13221552. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 129983/13221579. ------ 1. ==[ start ]==> (((a b)(^b.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 129984/13221606. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 129985/13221633. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.(z z)))) REDUCED to normal form. ------ 129986/13221669. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 129987/13221723. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 129988/13221750. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))((a a) a))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a (a a))((a a) a))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a (a a))((a a) a))((a a)(a a))) REDUCED to normal form. ------ 129989/13221777. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((a a)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((a a)(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((^z.a)((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 9. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 10. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 11. ==[ beta ]==> a REDUCED to normal form. ------ 129990/13221804. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(b a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 129991/13221831. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) a)((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a b) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a b) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 129992/13221858. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 129993/13221912. ------ 1. ==[ start ]==> ((a (b a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 129994/13222083. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c ((a a)(^z.z)))) 3. ==[ beta ]==> (b (c ((a a)(^z.z)))) 4. ==[ alpha ]==> (b (c ((a a)(^x.x)))) REDUCED to normal form. ------ 129995/13222146. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 129996/13222191. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((b a)(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((b a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 129997/13222218. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 129998/13222272. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b)(a b))(((a a) a)(^y.y))) 6. ==[ alpha ]==> (((a b)(a b))(((a a) a)(^x.x))) REDUCED to normal form. ------ 129999/13222353. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (b (((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (b (a ((^y.y)(a a)))) 6. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 130000/13222479. ------ 1. ==[ start ]==> (((a a)(b a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 130001/13222506. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 130002/13222533. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(a (a a)))) 5. ==[ beta ]==> ((a (a a))((^y.b)(a (a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(a (a a)))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 130003/13222560. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 130004/13222587. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 130005/13222614. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(a b))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a b)(a b))) REDUCED to normal form. ------ 130006/13222641. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 130007/13222668. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 130008/13222695. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(b a)) REDUCED to normal form. ------ 130009/13222740. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130010/13222920. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c ((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (c ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (c ((^x.x)(a a)))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 130011/13223028. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1)(a a))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130012/13223037. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(a a)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 130013/13223055. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 130014/13223082. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 130015/13223136. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (a a))((a a) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (a a))((a a) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))((a a) a))) 7. ==[ beta ]==> (((a a)(a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 130016/13223217. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 130017/13223253. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 130018/13223280. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 130019/13223334. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a) a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 130020/13223370. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 130021/13223397. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 130022/13223424. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a)(a b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(a b))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 130023/13223451. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 130024/13223478. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> ((a b)((a a)(^y.y))) 8. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 130025/13223532. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 130026/13223559. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(^y.a))) 5. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 130027/13223667. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.b))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.b))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 130028/13223676. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c (a b))) 3. ==[ beta ]==> ((^y.y)(c (a b))) 4. ==[ alpha ]==> ((^x.x)(c (a b))) 5. ==[ beta ]==> (c (a b)) REDUCED to normal form. ------ 130029/13223703. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b ((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 130030/13223838. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (b ((^y.y)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 130031/13223946. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130032/13223982. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((b a)(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> ((b a)(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> ((b a)((a a)(^y.y))) 6. ==[ alpha ]==> ((b a)((a a)(^x.x))) REDUCED to normal form. ------ 130033/13224009. ------ 1. ==[ start ]==> (((a a)(^b.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 130034/13224036. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a a) a)(^y1.a))) REDUCED to normal form. ------ 130035/13224117. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(^z.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 130036/13224144. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 130037/13224171. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 130038/13224198. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 130039/13224225. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a b) b)) REDUCED to normal form. ------ 130040/13224342. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 130041/13224369. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 130042/13224396. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((a (b a))(^y.(a a))) 6. ==[ alpha ]==> ((a (b a))(^x.(a a))) REDUCED to normal form. ------ 130043/13224612. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^x1.(a a)))) REDUCED to normal form. ------ 130044/13224639. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.b)(a a))) 3. ==[ beta ]==> ((b (a a))((^y.b)(a a))) 4. ==[ alpha ]==> ((b (a a))((^x.b)(a a))) 5. ==[ beta ]==> ((b (a a)) b) REDUCED to normal form. ------ 130045/13224945. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(c ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130046/13225008. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.b) a)) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.b) a)) 3. ==[ beta ]==> ((((a a)(a a)) a) b) REDUCED to normal form. ------ 130047/13225026. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((a a) a)(a a))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 130048/13225053. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 7. ==[ beta ]==> ((^y.y)(a (^z.z))) 8. ==[ alpha ]==> ((^x.x)(a (^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 130049/13225062. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 130050/13225107. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (((b a)(b a))(a (a (a a)))) REDUCED to normal form. ------ 130051/13225197. ------ 1. ==[ start ]==> (((a b)(^a.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(((a a) a)(^y.y))) REDUCED to normal form. ------ 130052/13225251. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(^x1.a))) REDUCED to normal form. ------ 130053/13225305. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 130054/13225332. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 130055/13225359. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 130056/13225395. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 130057/13225422. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(^z.a))) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.a))) 7. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 130058/13225449. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 130059/13225476. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 130060/13225692. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 130061/13225719. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 130062/13225746. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 130063/13225917. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(b (a (a a)))) 3. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 130064/13226025. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130065/13226088. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (a a))(^x.x))) REDUCED to normal form. ------ 130066/13226133. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(c c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(c c)) 3. ==[ beta ]==> ((b (^y.y))(c c)) 4. ==[ alpha ]==> ((b (^x.x))(c c)) REDUCED to normal form. ------ 130067/13226196. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a)) a)) 3. ==[ beta ]==> ((a (^y.y))((a (a a)) a)) 4. ==[ alpha ]==> ((a (^x.x))((a (a a)) a)) REDUCED to normal form. ------ 130068/13226223. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a b)) REDUCED to normal form. ------ 130069/13226295. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 130070/13226304. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a a)) REDUCED to normal form. ------ 130071/13226331. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.a) b)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.a) b)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a) b)) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 130072/13226412. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^x1.x1))) REDUCED to normal form. ------ 130073/13226439. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 130074/13226466. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 130075/13226529. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 130076/13226556. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.a)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.a)) REDUCED to normal form. ------ 130077/13226583. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(c (^z.z))) 3. ==[ beta ]==> ((a ((^y.y) b))(c (^z.z))) 4. ==[ alpha ]==> ((a ((^x.x) b))(c (^y.y))) 5. ==[ beta ]==> ((a b)(c (^y.y))) 6. ==[ alpha ]==> ((a b)(c (^x.x))) REDUCED to normal form. ------ 130078/13226610. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 130079/13226637. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(a (^z.a))) 3. ==[ beta ]==> (((^y.y)(b a))(a (^z.a))) 4. ==[ alpha ]==> (((^x.x)(b a))(a (^y.a))) 5. ==[ beta ]==> ((b a)(a (^y.a))) 6. ==[ alpha ]==> ((b a)(a (^x.a))) REDUCED to normal form. ------ 130080/13226664. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 130081/13226691. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a b)(a a))(a (^x.x))) REDUCED to normal form. ------ 130082/13226718. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 130083/13226745. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 130084/13226799. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 130085/13226826. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.z)(a a))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.z)(a a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.y)(a a))) 5. ==[ beta ]==> ((b a)((^y.y)(a a))) 6. ==[ alpha ]==> ((b a)((^x.x)(a a))) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 130086/13226853. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 130087/13235865. ------ 1. ==[ start ]==> ((^a.b)((^c.(a a)) c)) 2. ==[ alpha ]==> ((^x.b)((^y.(a a)) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 130088/13236183. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(b (^z.z)))) REDUCED to normal form. ------ 130089/13236306. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 130090/13236405. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b)(^y.(a a)))) 3. ==[ beta ]==> (((a b)(^y.(a a)))(((a b)(^y.(a a)))((a b)(^y.(a a))))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(((a b)(^y.(a a)))((a b)(^z.(a a))))) REDUCED to normal form. ------ 130091/13236630. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 130092/13236966. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(b (^z.z)))) REDUCED to normal form. ------ 130093/13237317. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((a a)(a a)))) 5. ==[ beta ]==> (b (^y.((a a)(a a)))) 6. ==[ alpha ]==> (b (^x.((a a)(a a)))) REDUCED to normal form. ------ 130094/13237521. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)(a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 130095/13237701. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(a a)) a)) 3. ==[ beta ]==> ((((a a)(a a)) a) b) REDUCED to normal form. ------ 130096/13238046. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((z z)(z z)))) REDUCED to normal form. ------ 130097/13238388. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 7. ==[ beta ]==> (^y.(^z.(y y))) 8. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 130098/13239342. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130099/13239648. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 130100/13239726. ------ 1. ==[ start ]==> ((^a.(b a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(b x))(((a a)(^y.y)) c)) 3. ==[ eta ]==> (b (((a a)(^y.y)) c)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) c)) REDUCED to normal form. ------ 130101/13239963. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 130102/13240563. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x1.x1)) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 130103/13241043. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 130104/13241166. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130105/13241295. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 130106/13241772. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^z.(a a))) REDUCED to normal form. ------ 130107/13242480. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((((a a) a)(^y.(^z.z)))(((a a) a)(^y.(^z.z))))((((a a) a)(^y.(^z.z)))(((a a) a)(^y.(^z.z))))) 4. ==[ alpha ]==> (((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1))))((((a a) a)(^y1.(^z1.z1)))(((a a) a)(^x2.(^y2.y2))))) REDUCED to normal form. ------ 130108/13242825. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.(a b))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(x b))) REDUCED to normal form. ------ 130109/13242987. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.((a a) a))) REDUCED to normal form. ------ 130110/13243005. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 130111/13243560. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 130112/13243878. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(a (a a)))) 3. ==[ beta ]==> ((b c)(^y.(a (a a)))) 4. ==[ alpha ]==> ((b c)(^x.(a (a a)))) REDUCED to normal form. ------ 130113/13244112. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 130114/13244121. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(y (y y)))) REDUCED to normal form. ------ 130115/13244220. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130116/13244454. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.c)) 3. ==[ beta ]==> (((^y.y)(b a))(^z.c)) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.c)) 5. ==[ beta ]==> ((b a)(^y.c)) 6. ==[ alpha ]==> ((b a)(^x.c)) REDUCED to normal form. ------ 130117/13244508. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 130118/13244616. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^b.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 130119/13244643. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.z))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 130120/13244720. ------ 1. ==[ start ]==> (^a.(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (^x.(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 130121/13244721. ------ 1. ==[ start ]==> (a (^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (a (^x.((^y.(^z.z)) x))) 3. ==[ eta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 130122/13244745. ------ 1. ==[ start ]==> (((^a.a) a)((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x) a)((b (^y.y))(a a))) 3. ==[ beta ]==> (a ((b (^y.y))(a a))) 4. ==[ alpha ]==> (a ((b (^x.x))(a a))) REDUCED to normal form. ------ 130123/13244772. ------ 1. ==[ start ]==> (((a a) a)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 130124/13244781. ------ 1. ==[ start ]==> ((a b)((^c.(a a)) c)) 2. ==[ alpha ]==> ((a b)((^x.(a a)) c)) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 130125/13244799. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 130126/13244826. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 130127/13244853. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 130128/13244880. ------ 1. ==[ start ]==> (((a a) b)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 130129/13244907. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(a b))) REDUCED to normal form. ------ 130130/13244934. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 130131/13244961. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)((a a)(^z.z)))) REDUCED to normal form. ------ 130132/13245015. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 130133/13245060. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.(a a)))) 3. ==[ beta ]==> ((^y.a)(c (^z.(a a)))) 4. ==[ alpha ]==> ((^x.a)(c (^y.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 130134/13245096. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)(b (^y.y)))) REDUCED to normal form. ------ 130135/13245222. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 130136/13245240. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 130137/13245294. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.b))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.b))) REDUCED to normal form. ------ 130138/13245321. ------ 1. ==[ start ]==> ((a (a (a a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a b)(^x.(a a)))) REDUCED to normal form. ------ 130139/13245330. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.b)((^z.z)(a a)))((^y.b)((^z.z)(a a)))) 6. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.b)((^x1.x1)(a a)))) 7. ==[ beta ]==> (b ((^z.b)((^x1.x1)(a a)))) 8. ==[ alpha ]==> (b ((^x.b)((^y.y)(a a)))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 130140/13245357. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 130141/13245411. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 9. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 130142/13245438. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((a (a a))((^y.a)((^z.z) b))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y) b))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 130143/13245465. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130144/13245546. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 130145/13245564. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) b) c)) 3. ==[ beta ]==> (((a a)(a (a a)))(b c)) REDUCED to normal form. ------ 130146/13245681. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130147/13245708. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 130148/13245816. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 7. ==[ beta ]==> ((^y.a)(^z.z)) 8. ==[ alpha ]==> ((^x.a)(^y.y)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 130149/13245825. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c ((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(c b)) REDUCED to normal form. ------ 130150/13245852. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b ((a a)(a a)))) REDUCED to normal form. ------ 130151/13245879. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (b (^z.z)))) 3. ==[ beta ]==> ((a (^y.a))(a (b (^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))(a (b (^y.y)))) REDUCED to normal form. ------ 130152/13245906. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 130153/13245933. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 7. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 8. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 9. ==[ beta ]==> (b (a (^y.y))) 10. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 130154/13246194. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (^z.z))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (^z.z))) 5. ==[ beta ]==> (a (c (^z.z))) 6. ==[ alpha ]==> (a (c (^x.x))) REDUCED to normal form. ------ 130155/13246230. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((a a)((a a)(a a)))) 5. ==[ beta ]==> (b ((a a)((a a)(a a)))) REDUCED to normal form. ------ 130156/13246302. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 130157/13246437. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)(a b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)(a b))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 130158/13246455. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 130159/13246536. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (a a)) a)(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a (a a)) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 130160/13246563. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 130161/13246617. ------ 1. ==[ start ]==> ((a (a b))(((a a)(a a)) a)) REDUCED to normal form. ------ 130162/13246626. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 130163/13246788. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b)(^x1.b))) 3. ==[ beta ]==> (b ((^z.b)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.b)(^y.b))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 130164/13246815. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 130165/13246842. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130166/13246896. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 130167/13246932. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b ((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b ((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b ((^z.z) b))) 5. ==[ beta ]==> ((^y.a)(b ((^z.z) b))) 6. ==[ alpha ]==> ((^x.a)(b ((^y.y) b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 130168/13246959. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((a a)(a a)))) REDUCED to normal form. ------ 130169/13246986. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a b)(^x.x))(b (a a))) REDUCED to normal form. ------ 130170/13247022. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.(^z.z))) c)) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 130171/13247175. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 130172/13247247. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (c (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (c (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 130173/13247301. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)(a (^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 130174/13247436. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 130175/13247463. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a) a))) 5. ==[ beta ]==> ((^y.b)((a a) a)) 6. ==[ alpha ]==> ((^x.b)((a a) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 130176/13247517. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130177/13247598. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 130178/13247670. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 130179/13247697. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((b a) c)) REDUCED to normal form. ------ 130180/13247922. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130181/13248066. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> (((a b) c)((a a)(a (a a)))) REDUCED to normal form. ------ 130182/13248093. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) b)((a b)(^y.y))) 6. ==[ alpha ]==> (((a a) b)((a b)(^x.x))) REDUCED to normal form. ------ 130183/13248120. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 130184/13248174. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a (a a))(a a))) REDUCED to normal form. ------ 130185/13248201. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.b))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.b))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 130186/13248255. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130187/13248300. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 130188/13248399. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 130189/13248453. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((a (a b))((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a (a b))((^x.x)(^y.b))) 7. ==[ beta ]==> ((a (a b))(^y.b)) 8. ==[ alpha ]==> ((a (a b))(^x.b)) REDUCED to normal form. ------ 130190/13248480. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 130191/13248561. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) a)((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b) a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 130192/13248588. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 130193/13248615. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((b a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((b a) b)) REDUCED to normal form. ------ 130194/13248642. ------ 1. ==[ start ]==> ((a (b a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((a (b a))(((a a)(^x.x)) c)) REDUCED to normal form. ------ 130195/13248732. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.a))) 5. ==[ beta ]==> (b ((^z.a)(^x1.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 130196/13248813. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 130197/13248876. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 130198/13248984. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a b)(a (a a)))) REDUCED to normal form. ------ 130199/13249011. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(((a a) a)(^y.y))) REDUCED to normal form. ------ 130200/13249065. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 130201/13249092. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 130202/13249119. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 130203/13249146. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(b a))) REDUCED to normal form. ------ 130204/13249209. ------ 1. ==[ start ]==> (((a a)(b a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 130205/13249236. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 130206/13249263. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))((a b)(^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 130207/13249290. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 130208/13249344. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (a a))(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(^y.b))) REDUCED to normal form. ------ 130209/13249371. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.(a a)))) REDUCED to normal form. ------ 130210/13249479. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 130211/13249569. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 130212/13249650. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 130213/13249767. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(a (^z.z)))) REDUCED to normal form. ------ 130214/13249794. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a b) a)) REDUCED to normal form. ------ 130215/13249875. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 130216/13249902. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)(a b))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)(a b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 130217/13249947. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 130218/13249956. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 130219/13250055. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130220/13250082. ------ 1. ==[ start ]==> ((a (^b.b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 130221/13250100. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 130222/13250127. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (a a))(^y.a))) REDUCED to normal form. ------ 130223/13250154. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.b))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.b))) REDUCED to normal form. ------ 130224/13250181. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 130225/13250208. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 130226/13250235. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 130227/13250262. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((a b)(^x.x))((a a) b)) REDUCED to normal form. ------ 130228/13250289. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a b) c)) 3. ==[ beta ]==> (((a a)(a (a a)))((a b) c)) REDUCED to normal form. ------ 130229/13250406. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 130230/13250433. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130231/13250676. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b (^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130232/13250685. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a a)(a a))) REDUCED to normal form. ------ 130233/13250730. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(a a))) 5. ==[ beta ]==> (b ((^y.(a a))(a a))) 6. ==[ alpha ]==> (b ((^x.(a a))(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 130234/13250757. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.b)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(a (^z.z))) 6. ==[ alpha ]==> ((^x.b)(a (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 130235/13250811. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 130236/13250892. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 130237/13251153. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 130238/13251180. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.b) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.b) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b) b)) 5. ==[ beta ]==> (((^y.y)(a a))((^z.b) b)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.b) b)) 7. ==[ beta ]==> ((a a)((^y.b) b)) 8. ==[ alpha ]==> ((a a)((^x.b) b)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 130239/13251207. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^c.a) c)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a) c)) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 130240/13251369. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a b)(^y.y))) 3. ==[ beta ]==> ((b (a a))((a b)(^y.y))) 4. ==[ alpha ]==> ((b (a a))((a b)(^x.x))) REDUCED to normal form. ------ 130241/13251396. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 130242/13251432. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130243/13251567. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 130244/13251675. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130245/13251711. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(b ((a a) a))) 3. ==[ beta ]==> ((b b)(b ((a a) a))) REDUCED to normal form. ------ 130246/13251738. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(a (a b))) REDUCED to normal form. ------ 130247/13251792. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 130248/13251819. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (a a))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (a a)) a)) REDUCED to normal form. ------ 130249/13251900. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a)((a a) a))) REDUCED to normal form. ------ 130250/13251918. ------ 1. ==[ start ]==> (((^a.b)(a b))(a (^a.b))) 2. ==[ alpha ]==> (((^x.b)(a b))(a (^y.b))) 3. ==[ beta ]==> (b (a (^y.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 130251/13252026. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130252/13252125. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> (((a a)((a a)(a a)))((^y.y) b)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x) b)) 5. ==[ beta ]==> (((a a)((a a)(a a))) b) REDUCED to normal form. ------ 130253/13252152. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (a a)) c)) 3. ==[ beta ]==> (((a (^x.x)) b)((a (a a)) c)) REDUCED to normal form. ------ 130254/13252287. ------ 1. ==[ start ]==> (((a b)(a b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 130255/13252422. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b (a (^x.x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(^z.z))) 7. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 8. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 130256/13252449. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 130257/13252476. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (b (^x.x)))(a (^z.a))) 4. ==[ alpha ]==> ((a (b (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 130258/13252566. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(^z2.z2))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))(^z2.z2))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130259/13252647. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 130260/13252791. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a)(a (a a)))) 3. ==[ beta ]==> ((b c)((a a)(a (a a)))) REDUCED to normal form. ------ 130261/13252863. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 130262/13252890. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130263/13252944. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(y1 y1))(^z1.z1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^z1.z1)(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 130264/13253025. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 130265/13253034. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a (a (a a)))) REDUCED to normal form. ------ 130266/13253061. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a a)(^y.b))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(a a))) 5. ==[ beta ]==> (((a a)(^x.b))(a (a a))) REDUCED to normal form. ------ 130267/13253133. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130268/13253169. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(c b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(c b)) 3. ==[ beta ]==> ((b (^y.a))(c b)) 4. ==[ alpha ]==> ((b (^x.a))(c b)) REDUCED to normal form. ------ 130269/13253196. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(b c)) REDUCED to normal form. ------ 130270/13253259. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 130271/13253313. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.a) a)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.a) a)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.a) a)) 5. ==[ beta ]==> ((a b)((^y.a) a)) 6. ==[ alpha ]==> ((a b)((^x.a) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 130272/13253340. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 130273/13253367. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.z) c)) 3. ==[ beta ]==> (((^y.y)(b a))((^z.z) c)) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.y) c)) 5. ==[ beta ]==> ((b a)((^y.y) c)) 6. ==[ alpha ]==> ((b a)((^x.x) c)) 7. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 130274/13253394. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 130275/13253421. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 130276/13253448. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (^y.y)) a)) 3. ==[ beta ]==> (((a a)(a b))((a (^y.y)) a)) 4. ==[ alpha ]==> (((a a)(a b))((a (^x.x)) a)) REDUCED to normal form. ------ 130277/13253475. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a a) b)) REDUCED to normal form. ------ 130278/13253529. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a))) b) REDUCED to normal form. ------ 130279/13253556. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a a)(^z.z))) 3. ==[ beta ]==> ((b ((^y.y) a))((a a)(^z.z))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a a)(^y.y))) 5. ==[ beta ]==> ((b a)((a a)(^y.y))) 6. ==[ alpha ]==> ((b a)((a a)(^x.x))) REDUCED to normal form. ------ 130280/13253583. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 130281/13253634. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a)) a) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x)) a) 3. ==[ eta ]==> ((^y.(^z.z)) a) 4. ==[ alpha ]==> ((^x.(^y.y)) a) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130282/13253636. ------ 1. ==[ start ]==> (^a.(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (^x.(x ((^y.(^z.z)) x))) 3. ==[ beta ]==> (^x.(x (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 130283/13253637. ------ 1. ==[ start ]==> (a (a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (a (a ((^x.(^y.y)) a))) 3. ==[ beta ]==> (a (a (^y.y))) 4. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 130284/13253640. ------ 1. ==[ start ]==> ((^a.a)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.x)(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> ((^x.x)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 130285/13262550. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^a.a)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.x1)) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130286/13262553. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a)) a) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a)) a) 3. ==[ beta ]==> ((a (^y.y)) a) 4. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 130287/13262559. ------ 1. ==[ start ]==> ((^a.a)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.x)(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> (a ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 130288/13262562. ------ 1. ==[ start ]==> ((a a)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a a)(^x.((^y.(^z.z)) x))) 3. ==[ eta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 130289/13262586. ------ 1. ==[ start ]==> ((^a.(a a))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x x))((b (^y.y))(a a))) 3. ==[ beta ]==> (((b (^y.y))(a a))((b (^y.y))(a a))) 4. ==[ alpha ]==> (((b (^x.x))(a a))((b (^y.y))(a a))) REDUCED to normal form. ------ 130290/13262613. ------ 1. ==[ start ]==> ((^a.b)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 130291/13262694. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((b a)((^z.z)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((b a)((^x.x)(^y.y)))(^z.z)) 5. ==[ beta ]==> (((b a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((b a)(^x.x))(^y.y)) REDUCED to normal form. ------ 130292/13262883. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)((^x1.x1) b))) 3. ==[ eta ]==> ((^y.y)(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 130293/13263054. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 130294/13263336. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 130295/13263378. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(a a)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 130296/13263936. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((((a a) a)((^y.y)(a a)))(((a a) a)((^y.y)(a a))))(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((((a a) a)((^x.x)(a a)))(((a a) a)((^y.y)(a a))))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((((a a) a)(a a))(((a a) a)((^y.y)(a a))))(((a a) a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((((a a) a)(a a))(((a a) a)((^x.x)(a a))))(((a a) a)((^y.y)(a a)))) 7. ==[ beta ]==> (((((a a) a)(a a))(((a a) a)(a a)))(((a a) a)((^y.y)(a a)))) 8. ==[ alpha ]==> (((((a a) a)(a a))(((a a) a)(a a)))(((a a) a)((^x.x)(a a)))) 9. ==[ beta ]==> (((((a a) a)(a a))(((a a) a)(a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 130297/13264269. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((a b)(^z.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 130298/13264443. ------ 1. ==[ start ]==> (((^a.b) a)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((a a)(a a)))) 3. ==[ beta ]==> (b (^y.((a a)(a a)))) 4. ==[ alpha ]==> (b (^x.((a a)(a a)))) REDUCED to normal form. ------ 130299/13264794. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 130300/13264836. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.b) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z) b)) 3. ==[ beta ]==> (^y.(((^z.z) b)((^z.z) b))) 4. ==[ alpha ]==> (^x.(((^y.y) b)((^z.z) b))) 5. ==[ beta ]==> (^x.(b ((^z.z) b))) 6. ==[ alpha ]==> (^x.(b ((^y.y) b))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 130301/13265043. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a (a a))((a a)(^z.z)))((a (a a))((a a)(^z.z))))) 4. ==[ alpha ]==> ((^x.x)(((a (a a))((a a)(^y.y)))((a (a a))((a a)(^z.z))))) 5. ==[ beta ]==> (((a (a a))((a a)(^y.y)))((a (a a))((a a)(^z.z)))) 6. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 130302/13265469. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.z)) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 130303/13266117. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 130304/13266711. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 130305/13267023. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((b a)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 130306/13267914. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130307/13268547. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 130308/13268763. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 130309/13268988. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^y.(y y))) REDUCED to normal form. ------ 130310/13269573. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.x))) REDUCED to normal form. ------ 130311/13269762. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.b))) REDUCED to normal form. ------ 130312/13269924. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 130313/13270095. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.((y y) y))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.((y y) y))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.((x x) x))) REDUCED to normal form. ------ 130314/13270626. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b c)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b c)(^x.(^y.(y y)))) REDUCED to normal form. ------ 130315/13270653. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 130316/13270761. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 130317/13270860. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.d)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.d)) 3. ==[ beta ]==> (b (^z.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 130318/13270869. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 130319/13270977. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 130320/13271148. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) a)((^y.y) b))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.z)) 5. ==[ beta ]==> ((a ((^y.y) b))(^z.z)) 6. ==[ alpha ]==> ((a ((^x.x) b))(^y.y)) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 130321/13271202. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(a (^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(a (^z.z)))) 6. ==[ alpha ]==> ((b a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 130322/13271283. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^a.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.c)) 3. ==[ beta ]==> (((a a)(a b))(^y.c)) 4. ==[ alpha ]==> (((a a)(a b))(^x.c)) REDUCED to normal form. ------ 130323/13271418. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 130324/13271469. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(a a)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(a a)) 3. ==[ eta ]==> ((^y.(^z.z))(a a)) 4. ==[ alpha ]==> ((^x.(^y.y))(a a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130325/13271472. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^a.a)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.z)) 3. ==[ beta ]==> ((a (^y.y))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 130326/13271484. ------ 1. ==[ start ]==> ((a a)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a a)(a ((^x.(^y.y)) a))) 3. ==[ beta ]==> ((a a)(a (^y.y))) 4. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 130327/13271511. ------ 1. ==[ start ]==> ((a (a a))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((a (a a))((b (^x.x))(a a))) REDUCED to normal form. ------ 130328/13271538. ------ 1. ==[ start ]==> ((a b)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a b)(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 130329/13271592. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 130330/13271619. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))((b a)(^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))((b a)(^y.y))) REDUCED to normal form. ------ 130331/13271754. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(b a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(b a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(b a)) REDUCED to normal form. ------ 130332/13271781. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 130333/13271808. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) b))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) b))) 5. ==[ beta ]==> ((a a)(a ((^y.y) b))) 6. ==[ alpha ]==> ((a a)(a ((^x.x) b))) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 130334/13271898. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((b (^y.y))(^z.z))) 5. ==[ beta ]==> (a ((b (^y.y))(^z.z))) 6. ==[ alpha ]==> (a ((b (^x.x))(^y.y))) REDUCED to normal form. ------ 130335/13271925. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 130336/13271961. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 130337/13271979. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 130338/13272069. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(a a))(a b))) 3. ==[ beta ]==> ((a a)((^y.(a a))(a b))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(a b))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 130339/13272087. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(^z.(a a)))) 3. ==[ beta ]==> ((^y.(y y))((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((a b)(^y.(a a)))) 5. ==[ beta ]==> (((a b)(^y.(a a)))((a b)(^y.(a a)))) 6. ==[ alpha ]==> (((a b)(^x.(a a)))((a b)(^y.(a a)))) REDUCED to normal form. ------ 130340/13272114. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 130341/13272150. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 130342/13272168. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 130343/13272177. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 130344/13272195. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 130345/13272204. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 130346/13272231. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 130347/13272258. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(b (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(b (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 130348/13272276. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((b (^y.y)) a)) 3. ==[ beta ]==> (((a a)(a a))((b (^y.y)) a)) 4. ==[ alpha ]==> (((a a)(a a))((b (^x.x)) a)) REDUCED to normal form. ------ 130349/13272303. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(a a)) b)) REDUCED to normal form. ------ 130350/13272555. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((^y.(y y))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 130351/13272582. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 130352/13272726. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 130353/13272753. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((b a)(a (a a)))) REDUCED to normal form. ------ 130354/13272780. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(((a a)(^x.x))(^z.z))) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 130355/13272807. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a)((a a) a))) REDUCED to normal form. ------ 130356/13272834. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b)(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(a b))) 5. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 130357/13272861. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(((a a) a)(a a))) REDUCED to normal form. ------ 130358/13272987. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.(a a)))) 5. ==[ beta ]==> (b (b (^y.(a a)))) 6. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 130359/13273032. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> (((a a) a)(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> (((a a) a)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 130360/13273059. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) b)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 130361/13273068. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 130362/13273095. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 130363/13273113. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((b a)(^z.(z z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((b a)(^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)(^z.(z z)))) 5. ==[ beta ]==> ((a ((^y.y) a))((b a)(^z.(z z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((b a)(^y.(y y)))) 7. ==[ beta ]==> ((a a)((b a)(^y.(y y)))) 8. ==[ alpha ]==> ((a a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 130364/13273176. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 130365/13273194. ------ 1. ==[ start ]==> ((a (^a.b))((a b)(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))((a b)(^y.b))) REDUCED to normal form. ------ 130366/13273365. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (b ((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 130367/13273383. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(a a)) a)) 3. ==[ beta ]==> ((^y.b)(((a a)(a a)) a)) 4. ==[ alpha ]==> ((^x.b)(((a a)(a a)) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 130368/13273527. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 130369/13273554. ------ 1. ==[ start ]==> (((a b) a)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a b) a)((^x.b)(^y.b))) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 130370/13273581. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 130371/13273662. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 130372/13273689. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 130373/13273734. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a)) a)) 3. ==[ beta ]==> (b ((^y.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 130374/13273761. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.b) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) b)) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 130375/13273779. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 130376/13273806. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((b a) a)) REDUCED to normal form. ------ 130377/13273833. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 130378/13273860. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.y))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 130379/13273887. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((a b)((a a) a))) 6. ==[ alpha ]==> (((^x.x) a)((a b)((a a) a))) 7. ==[ beta ]==> (a ((a b)((a a) a))) REDUCED to normal form. ------ 130380/13273914. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a) a)(a b))) REDUCED to normal form. ------ 130381/13273941. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(a a))((^y.y)(a a))) 6. ==[ alpha ]==> (((a b)(a a))((^x.x)(a a))) 7. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 130382/13273968. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a a))((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a a))((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 130383/13274139. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((b a)(^x1.a))) 3. ==[ beta ]==> (b ((b a)(^x1.a))) 4. ==[ alpha ]==> (b ((b a)(^x.a))) REDUCED to normal form. ------ 130384/13274193. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 130385/13274202. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 130386/13274220. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 130387/13274229. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 130388/13274274. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(a a)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(a a)))) 11. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a a))) 12. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 13. ==[ beta ]==> ((^y.y)(^z.(a a))) 14. ==[ alpha ]==> ((^x.x)(^y.(a a))) 15. ==[ beta ]==> (^y.(a a)) 16. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 130389/13274283. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 130390/13274310. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((a a)(^z.z)))) 7. ==[ beta ]==> (((^y.(y y))((a a)(^z.z)))((^y.(y y))((a a)(^z.z)))) 8. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 9. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 10. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 11. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 12. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 130391/13274337. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 130392/13274355. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 130393/13274364. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 130394/13274391. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z) b))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) b)) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 130395/13274580. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(^z.b))) 3. ==[ beta ]==> (b ((^y.a)(^z.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 130396/13274814. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 130397/13275012. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130398/13275039. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 130399/13275057. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 130400/13275066. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 130401/13275633. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 130402/13275876. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 130403/13275948. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((b a)(^x1.x1))) REDUCED to normal form. ------ 130404/13276245. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1)) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 130405/13276542. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(a a)) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) c)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 130406/13276713. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 130407/13276767. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 130408/13276812. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a b)(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130409/13276821. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 130410/13276839. ------ 1. ==[ start ]==> ((a (^b.b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 130411/13277118. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130412/13277325. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.a) d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a) d)) 3. ==[ beta ]==> (b ((^z.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 130413/13277442. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (^z.(a a)))) REDUCED to normal form. ------ 130414/13277469. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a (^y.(^z.z)))) 3. ==[ beta ]==> ((b a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 130415/13277487. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (b (((^y.y)(a a))(^z.z))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(^y.y))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 130416/13277496. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 130417/13277514. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 130418/13277523. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.b)(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 130419/13277568. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.(x1 x1)))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 130420/13277604. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 130421/13277631. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 130422/13277649. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 130423/13277658. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 130424/13277685. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 130425/13277712. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 130426/13277793. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 130427/13277883. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b (a b))) 3. ==[ beta ]==> ((a (b a))(b (a b))) REDUCED to normal form. ------ 130428/13277910. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 130429/13277937. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)(a a))) 5. ==[ beta ]==> (((^y.y)(a a))((a b)(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))((a b)(a a))) 7. ==[ beta ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 130430/13277964. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 130431/13277991. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a b)((a a) a))((^y.y) a)) 6. ==[ alpha ]==> (((a b)((a a) a))((^x.x) a)) 7. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 130432/13278018. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 130433/13278045. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a (^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a (^y.y))) REDUCED to normal form. ------ 130434/13278099. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a)(a b))) REDUCED to normal form. ------ 130435/13278189. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 130436/13278324. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 130437/13278468. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 130438/13278495. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)(^y.b))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.b)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.b)) REDUCED to normal form. ------ 130439/13278513. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.b) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.b) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.b) a)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 130440/13278540. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a) b)) 3. ==[ beta ]==> ((^y.y)((^x1.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 130441/13278657. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b (^y.a))) REDUCED to normal form. ------ 130442/13278684. ------ 1. ==[ start ]==> (((a b)(^a.b))(a (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.b))(a (^y.b))) REDUCED to normal form. ------ 130443/13278738. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 130444/13278783. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.y1) a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130445/13278792. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 130446/13278819. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 130447/13278846. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)((a a) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((a a) a)) REDUCED to normal form. ------ 130448/13278963. ------ 1. ==[ start ]==> (((a (a a))(b a))(c (a (a a)))) REDUCED to normal form. ------ 130449/13278990. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))(b (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 130450/13279017. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a ((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(a ((a a) a))) REDUCED to normal form. ------ 130451/13279044. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(a a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(a a))) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 130452/13279071. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a))((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 130453/13279098. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a ((^x1.x1) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((^z.z) a))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 130454/13279152. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.z))) REDUCED to normal form. ------ 130455/13279323. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2)(^y2.y2)) a)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2)(^y2.y2)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130456/13279512. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.a) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130457/13279548. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(b (^y.(y y)))) 3. ==[ beta ]==> ((b c)(b (^y.(y y)))) 4. ==[ alpha ]==> ((b c)(b (^x.(x x)))) REDUCED to normal form. ------ 130458/13279575. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 130459/13279620. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 130460/13279647. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 130461/13279683. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 130462/13279701. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (a a)) a)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (a a)) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (a a)) a)) REDUCED to normal form. ------ 130463/13279710. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((^y1.y1)(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 130464/13279791. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.(z z))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 130465/13279899. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 130466/13279926. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.a)(a a))) 3. ==[ beta ]==> ((b (^y.a))((^z.a)(a a))) 4. ==[ alpha ]==> ((b (^x.a))((^y.a)(a a))) 5. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 130467/13279953. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 130468/13280016. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(c (a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(c (a a))) REDUCED to normal form. ------ 130469/13280043. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(b (a (^y.y)))) REDUCED to normal form. ------ 130470/13280070. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(a ((^z.z) a))) 3. ==[ beta ]==> ((a ((^y.y) b))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(a ((^y.y) a))) 5. ==[ beta ]==> ((a b)(a ((^y.y) a))) 6. ==[ alpha ]==> ((a b)(a ((^x.x) a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 130471/13280097. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (^z.z))(a a))) REDUCED to normal form. ------ 130472/13280124. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(b a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(b a))((a a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((b a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 130473/13280178. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(b b)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(b b)) 3. ==[ beta ]==> (((a b)(a a))(b b)) REDUCED to normal form. ------ 130474/13280205. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(a c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(a c)) 3. ==[ beta ]==> (((a a)(a b))(a c)) REDUCED to normal form. ------ 130475/13280232. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(b (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(b (a a))) REDUCED to normal form. ------ 130476/13280286. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 130477/13280313. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(b a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(b a)) 3. ==[ beta ]==> ((b ((^y.y) a))(b a)) 4. ==[ alpha ]==> ((b ((^x.x) a))(b a)) 5. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 130478/13280340. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(a b)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a b)) REDUCED to normal form. ------ 130479/13280391. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a)) b) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x)) b) 3. ==[ eta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130480/13280394. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(a a)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(a a)) 3. ==[ beta ]==> ((a (^y.y))(a a)) 4. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 130481/13280415. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> ((^x.(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130482/13282296. ------ 1. ==[ start ]==> ((^a.(a b))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((a a)(a a)))) 3. ==[ beta ]==> ((^y.((a a)(a a))) b) 4. ==[ alpha ]==> ((^x.((a a)(a a))) b) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 130483/13289316. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(^y1.y1))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130484/13289319. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a)) b) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a)) b) 3. ==[ beta ]==> ((a (^y.y)) b) 4. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 130485/13289343. ------ 1. ==[ start ]==> ((^a.(^a.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130486/13289346. ------ 1. ==[ start ]==> ((a (^a.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 130487/13289424. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b)((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 130488/13289586. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> (^y.(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (^x.(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 130489/13289928. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a))(a b))) 3. ==[ beta ]==> (((^y.(a a))(a b))(((^y.(a a))(a b))((^y.(a a))(a b)))) 4. ==[ alpha ]==> (((^x.(a a))(a b))(((^y.(a a))(a b))((^z.(a a))(a b)))) 5. ==[ beta ]==> ((a a)(((^y.(a a))(a b))((^z.(a a))(a b)))) 6. ==[ alpha ]==> ((a a)(((^x.(a a))(a b))((^y.(a a))(a b)))) 7. ==[ beta ]==> ((a a)((a a)((^y.(a a))(a b)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a))(a b)))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 130490/13290507. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 130491/13291218. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 130492/13291224. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)((a a)(a a))) b) 4. ==[ alpha ]==> (((^x.x)((a a)(a a))) b) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 130493/13291227. ------ 1. ==[ start ]==> ((a (a b))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.((a a)(a a)))) REDUCED to normal form. ------ 130494/13291587. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((y y)(y y)))) 3. ==[ beta ]==> (b (^y.((y y)(y y)))) 4. ==[ alpha ]==> (b (^x.((x x)(x x)))) REDUCED to normal form. ------ 130495/13291611. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (^y.((((^z.z) b)(a a))(((^z.z) b)(a a)))) 4. ==[ alpha ]==> (^x.((((^y.y) b)(a a))(((^z.z) b)(a a)))) 5. ==[ beta ]==> (^x.((b (a a))(((^z.z) b)(a a)))) 6. ==[ alpha ]==> (^x.((b (a a))(((^y.y) b)(a a)))) 7. ==[ beta ]==> (^x.((b (a a))(b (a a)))) REDUCED to normal form. ------ 130496/13291911. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) b))) 5. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1) b))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 7. ==[ beta ]==> (^y.((^z.z) b)) 8. ==[ alpha ]==> (^x.((^y.y) b)) 9. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 130497/13293198. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 130498/13294845. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 130499/13295004. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 130500/13295538. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 130501/13295763. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 130502/13295979. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 130503/13296003. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.b)(a a))) 3. ==[ beta ]==> ((((^y.b)(a a))((^y.b)(a a)))(((^y.b)(a a))((^y.b)(a a)))) 4. ==[ alpha ]==> ((((^x.b)(a a))((^y.b)(a a)))(((^z.b)(a a))((^x1.b)(a a)))) 5. ==[ beta ]==> ((b ((^y.b)(a a)))(((^z.b)(a a))((^x1.b)(a a)))) 6. ==[ alpha ]==> ((b ((^x.b)(a a)))(((^y.b)(a a))((^z.b)(a a)))) 7. ==[ beta ]==> ((b b)(((^y.b)(a a))((^z.b)(a a)))) 8. ==[ alpha ]==> ((b b)(((^x.b)(a a))((^y.b)(a a)))) 9. ==[ beta ]==> ((b b)(b ((^y.b)(a a)))) 10. ==[ alpha ]==> ((b b)(b ((^x.b)(a a)))) 11. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 130504/13296366. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(y b))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y b))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x b))) REDUCED to normal form. ------ 130505/13296528. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 130506/13296870. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 130507/13297032. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 130508/13297083. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 130509/13297536. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 130510/13297644. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.d)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.d)) REDUCED to normal form. ------ 130511/13297923. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.a))) 5. ==[ beta ]==> ((a b)(^y.(^z.a))) 6. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 130512/13298004. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 130513/13298058. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(a (^y.y)))) REDUCED to normal form. ------ 130514/13298166. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 130515/13298193. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 130516/13298244. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(a (^a.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(a (^x1.x1))) 3. ==[ eta ]==> ((^y.(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130517/13298247. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^a.(^a.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 130518/13298277. ------ 1. ==[ start ]==> ((a (^a.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.x))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 130519/13298304. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((b (^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)((b (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(a a))) 5. ==[ beta ]==> ((b (^y.y))(a a)) 6. ==[ alpha ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 130520/13298331. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a a)(((a a)(a a))(a (^y.y)))) 4. ==[ alpha ]==> ((a a)(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 130521/13298358. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 130522/13298412. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130523/13298439. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 130524/13298466. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a b))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a b))) REDUCED to normal form. ------ 130525/13298493. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 130526/13298520. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 130527/13298601. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 130528/13298628. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 130529/13298691. ------ 1. ==[ start ]==> (((a a)(^b.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 130530/13298718. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 130531/13298745. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(b (^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 130532/13298781. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 130533/13298853. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.b))) 5. ==[ beta ]==> ((a a)((a a)(^y.b))) 6. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 130534/13298862. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(a b))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 130535/13298961. ------ 1. ==[ start ]==> (((a (a a)) a)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 130536/13298988. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 130537/13299015. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 130538/13299069. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((b (^y.y)) a)) REDUCED to normal form. ------ 130539/13299132. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.a)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.a)) REDUCED to normal form. ------ 130540/13299159. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 130541/13299438. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a (b (^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a (b (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (b (^z.z)))) REDUCED to normal form. ------ 130542/13299681. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((a a)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 130543/13299735. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (a (((^z.z) a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a (((^x.x) a)(a (^y.(^z.z))))) 7. ==[ beta ]==> (a (a (a (^y.(^z.z))))) 8. ==[ alpha ]==> (a (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 130544/13299852. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 130545/13299879. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 130546/13299906. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((b a)(^y.(y y)))) REDUCED to normal form. ------ 130547/13299933. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130548/13299996. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)(a b))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b)(a b))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 130549/13300050. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 130550/13300077. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))(b a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(b a))) 5. ==[ beta ]==> (((a (a a)) a)((b a)(b a))) REDUCED to normal form. ------ 130551/13300104. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 130552/13300131. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 130553/13300149. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((a a)(^y.(a a)))) 3. ==[ beta ]==> (b ((a a)(^y.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 130554/13300158. ------ 1. ==[ start ]==> ((a (a b))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.x)((a a)(a a)))) 3. ==[ beta ]==> ((a (a b))((a a)(a a))) REDUCED to normal form. ------ 130555/13300518. ------ 1. ==[ start ]==> (((^a.b)(a a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(a ((a a)(a a)))) 3. ==[ beta ]==> (b (a ((a a)(a a)))) REDUCED to normal form. ------ 130556/13300527. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 130557/13300545. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((a (^x.(a a)))(b (a a))) REDUCED to normal form. ------ 130558/13300761. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))((a a)(^y.y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 130559/13300788. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(b a))) 5. ==[ beta ]==> (((^y.y) a)(b a)) 6. ==[ alpha ]==> (((^x.x) a)(b a)) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 130560/13300842. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1) b))) 5. ==[ beta ]==> ((^y.y)((a a)((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.x)((a a)((^y.y) b))) 7. ==[ beta ]==> ((a a)((^y.y) b)) 8. ==[ alpha ]==> ((a a)((^x.x) b)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 130561/13300932. ------ 1. ==[ start ]==> (((a b) b)((b a)(^b.a))) 2. ==[ alpha ]==> (((a b) b)((b a)(^x.a))) REDUCED to normal form. ------ 130562/13300959. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 130563/13300986. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 130564/13301013. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b)(^z.a))) REDUCED to normal form. ------ 130565/13301067. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(a a))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 130566/13301148. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 130567/13301175. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a a)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 130568/13301211. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 130569/13301238. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 130570/13301319. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 130571/13301346. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.b)(^z.a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.a))) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 130572/13301373. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 130573/13301400. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 130574/13301463. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c (b a))) 3. ==[ beta ]==> ((^y.y)(c (b a))) 4. ==[ alpha ]==> ((^x.x)(c (b a))) 5. ==[ beta ]==> (c (b a)) REDUCED to normal form. ------ 130575/13301598. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b (((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 130576/13301607. ------ 1. ==[ start ]==> (((a b) c)((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y)) d)) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 130577/13301679. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 130578/13301706. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 130579/13301760. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 130580/13301850. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 130581/13301877. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 130582/13301904. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 130583/13301940. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 130584/13301967. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 130585/13301994. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a (a b))((^y.a)((a a) a))) 4. ==[ alpha ]==> ((a (a b))((^x.a)((a a) a))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 130586/13302021. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 130587/13302048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 9. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 10. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 11. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 12. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 13. ==[ beta ]==> ((a a)((^y.y)(a a))) 14. ==[ alpha ]==> ((a a)((^x.x)(a a))) 15. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 130588/13302075. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 130589/13302102. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 130590/13302129. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 130591/13302156. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 130592/13302462. ------ 1. ==[ start ]==> (((^a.a)(b a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))((b a)(a a))) 3. ==[ beta ]==> ((b a)((b a)(a a))) REDUCED to normal form. ------ 130593/13302489. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 130594/13302543. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a b)(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))((a b)(a (a a)))) REDUCED to normal form. ------ 130595/13302624. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a))(a b))) 3. ==[ beta ]==> (b ((a (a a))(a b))) REDUCED to normal form. ------ 130596/13302804. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 130597/13302831. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.b)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 130598/13302885. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 130599/13302912. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))(a b))) 3. ==[ beta ]==> (((a b)(a (a a)))((a b)(a b))) REDUCED to normal form. ------ 130600/13302939. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 130601/13302966. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 130602/13303011. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((b a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((b a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((b a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130603/13303299. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((a a)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130604/13303326. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 130605/13303335. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(a a)) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 130606/13303353. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a b)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 130607/13303407. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y)(^z.z)))) 11. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.z))) 12. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 13. ==[ beta ]==> (((a a)(a a))(^y.y)) 14. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 130608/13303488. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 130609/13303551. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 130610/13303605. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a b)(^x1.a))) REDUCED to normal form. ------ 130611/13303668. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 130612/13303695. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 130613/13303722. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.a)(a b))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a)(a b))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(a b))) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 130614/13303749. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 130615/13303776. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 130616/13303803. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 130617/13303830. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 130618/13303857. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 130619/13303911. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 130620/13303938. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a b)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 130621/13304109. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (b (((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x) a))) 5. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 130622/13304217. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130623/13304280. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 130624/13304307. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a b)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 130625/13304388. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))((a (a a))(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 130626/13304415. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a (^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.a))) REDUCED to normal form. ------ 130627/13304442. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 130628/13304469. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 130629/13304496. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a a) a)) REDUCED to normal form. ------ 130630/13304613. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) b)(^y.y)) 8. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 130631/13304640. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 130632/13304667. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 130633/13304694. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.(a a))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.(a a))) REDUCED to normal form. ------ 130634/13304883. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (^x1.b))) REDUCED to normal form. ------ 130635/13304910. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(a (^y.(a a)))) 3. ==[ beta ]==> ((b (a a))(a (^y.(a a)))) 4. ==[ alpha ]==> ((b (a a))(a (^x.(a a)))) REDUCED to normal form. ------ 130636/13304937. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.b)(a a))) 3. ==[ beta ]==> ((a ((a a)(a a))) b) REDUCED to normal form. ------ 130637/13305297. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(a (a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(a (a b))) 3. ==[ beta ]==> (((a a)(a a))(a (a b))) REDUCED to normal form. ------ 130638/13305324. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 130639/13305333. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^c.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 130640/13305360. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1)) c)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 130641/13305378. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((b a)(b a))((a (a a))((^y.y) a))) 4. ==[ alpha ]==> (((b a)(b a))((a (a a))((^x.x) a))) 5. ==[ beta ]==> (((b a)(b a))((a (a a)) a)) REDUCED to normal form. ------ 130642/13305459. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 130643/13305522. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 130644/13305576. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 130645/13305603. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 130646/13305693. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 130647/13305720. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.a)(^x1.a))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.a))) 7. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 130648/13305747. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 130649/13305774. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 130650/13305936. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 130651/13305963. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a (^z.a))) 3. ==[ beta ]==> ((b (a (^y.y)))(a (^z.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 130652/13305990. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 130653/13306017. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a (b (^x.x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 130654/13306188. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(c ((^z.z) a))) 3. ==[ beta ]==> (b (c ((^z.z) a))) 4. ==[ alpha ]==> (b (c ((^x.x) a))) 5. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 130655/13306296. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1) a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130656/13306332. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(^a.a)) d)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z)) d)) 3. ==[ beta ]==> ((b c)((^y.(^z.z)) d)) 4. ==[ alpha ]==> ((b c)((^x.(^y.y)) d)) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 130657/13306467. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 130658/13306494. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (a a)) a)) REDUCED to normal form. ------ 130659/13306566. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(b ((^z.z) a))) 3. ==[ beta ]==> (b (b ((^z.z) a))) 4. ==[ alpha ]==> (b (b ((^x.x) a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 130660/13306602. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(z z)) a)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(z z)) a)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y)) a)) 5. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 130661/13306674. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130662/13306710. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((b (^y.a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.a))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((b (^x.a))(a (^z.z))) 6. ==[ alpha ]==> ((b (^x.a))(a (^y.y))) REDUCED to normal form. ------ 130663/13306737. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 130664/13306800. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(b (^x.x))) a) REDUCED to normal form. ------ 130665/13306827. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 130666/13306854. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.a))) 7. ==[ beta ]==> ((a b)(^y.a)) 8. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 130667/13306908. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 130668/13306935. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a (^y.a))) REDUCED to normal form. ------ 130669/13306962. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 130670/13306989. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a b))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a b))(a (^x.x))) REDUCED to normal form. ------ 130671/13307016. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 130672/13307070. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(b (^z.z))) REDUCED to normal form. ------ 130673/13307097. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 130674/13307124. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 130675/13307178. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(a (^a.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(a (^z.z))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 130676/13309089. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(a a))) b) 4. ==[ alpha ]==> ((^x.(^y.(a a))) b) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 130677/13311663. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 130678/13316109. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^b.a)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.a)) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130679/13316157. ------ 1. ==[ start ]==> (((^a.a) a)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((^x.x) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 130680/13316631. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 130681/13316730. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.b))((((^y.y)(a a))(^z.b))(((^y.y)(a a))(^z.b)))) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((((^z.z)(a a))(^x1.b))(((^y1.y1)(a a))(^z1.b)))) 5. ==[ beta ]==> (((a a)(^y.b))((((^z.z)(a a))(^x1.b))(((^y1.y1)(a a))(^z1.b)))) 6. ==[ alpha ]==> (((a a)(^x.b))((((^y.y)(a a))(^z.b))(((^x1.x1)(a a))(^y1.b)))) 7. ==[ beta ]==> (((a a)(^x.b))(((a a)(^z.b))(((^x1.x1)(a a))(^y1.b)))) 8. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.b))(((^z.z)(a a))(^x1.b)))) 9. ==[ beta ]==> (((a a)(^x.b))(((a a)(^y.b))((a a)(^x1.b)))) 10. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.b))((a a)(^z.b)))) REDUCED to normal form. ------ 130682/13316931. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 130683/13317318. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 130684/13317846. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 130685/13318026. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(a a))) b) 4. ==[ alpha ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 130686/13318029. ------ 1. ==[ start ]==> ((a (a b))(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(a a)))) REDUCED to normal form. ------ 130687/13318038. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((^y.b)(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.b)(^y.((a a)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 130688/13318389. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 130689/13318398. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((y y)(y y)))) REDUCED to normal form. ------ 130690/13319712. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 130691/13320051. ------ 1. ==[ start ]==> ((^a.(b a))((b a) b)) 2. ==[ alpha ]==> ((^x.(b x))((b a) b)) 3. ==[ eta ]==> (b ((b a) b)) REDUCED to normal form. ------ 130692/13320600. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 130693/13320603. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(^z1.(^x2.x2))))) REDUCED to normal form. ------ 130694/13320888. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((b a) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((b a) a)) 3. ==[ beta ]==> (((b a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((b a) a)(^x.(^y.y))) REDUCED to normal form. ------ 130695/13321491. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130696/13322124. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((b a)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((b a)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((b a)(^x.(a a))) REDUCED to normal form. ------ 130697/13322142. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 130698/13322805. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a b)(^y.y))) 3. ==[ beta ]==> ((((a b)(^y.y))((a b)(^y.y)))(((a b)(^y.y))((a b)(^y.y)))) 4. ==[ alpha ]==> ((((a b)(^x.x))((a b)(^y.y)))(((a b)(^z.z))((a b)(^x1.x1)))) REDUCED to normal form. ------ 130699/13322979. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a z))) 3. ==[ eta ]==> (((^x.b)(^y.b)) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 130700/13323168. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(^z.y))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.y))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 130701/13323339. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.((a a) a))) REDUCED to normal form. ------ 130702/13323885. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 130703/13323978. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.((^y2.y2)(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130704/13324230. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(a (a a)))) REDUCED to normal form. ------ 130705/13324356. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(a (a a)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(a (a a)))) REDUCED to normal form. ------ 130706/13324473. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(z (z z)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(z (z z)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(y (y y)))) REDUCED to normal form. ------ 130707/13324725. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^c.c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.z)) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.z)) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.y)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 130708/13324806. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.c)) REDUCED to normal form. ------ 130709/13324860. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 130710/13324968. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.z)) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.z)) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.y)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 130711/13325046. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.a) a)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.x1) a)) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130712/13325049. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^b.a)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.a)) 3. ==[ beta ]==> ((a (^y.y))(^z.a)) 4. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 130713/13325097. ------ 1. ==[ start ]==> (((^a.a) a)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x) a)(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> (a (a ((^y.(^z.z)) a))) 4. ==[ alpha ]==> (a (a ((^x.(^y.y)) a))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 130714/13325124. ------ 1. ==[ start ]==> (((a a) a)((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a a) a)((b (^x.x))(a a))) REDUCED to normal form. ------ 130715/13325151. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 130716/13325178. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> (b (((^y.y) b)((^z.z) a))) 4. ==[ alpha ]==> (b (((^x.x) b)((^y.y) a))) 5. ==[ beta ]==> (b (b ((^y.y) a))) 6. ==[ alpha ]==> (b (b ((^x.x) a))) 7. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 130717/13325205. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 130718/13325232. ------ 1. ==[ start ]==> (((a a) b)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((b a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a) b)((b a)(^y.y))) 4. ==[ alpha ]==> (((a a) b)((b a)(^x.x))) REDUCED to normal form. ------ 130719/13325259. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 130720/13325286. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 130721/13325313. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a b)(a a))) REDUCED to normal form. ------ 130722/13325367. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 130723/13325448. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 130724/13325475. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a a)(b (^y.y)))) 3. ==[ beta ]==> ((a a)((a a)(b (^y.y)))) 4. ==[ alpha ]==> ((a a)((a a)(b (^x.x)))) REDUCED to normal form. ------ 130725/13325574. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 130726/13325592. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 130727/13325619. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 130728/13325673. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a))(^y.b))) 3. ==[ beta ]==> ((a (a (a a)))((a a)(^y.b))) 4. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.b))) REDUCED to normal form. ------ 130729/13325682. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(a b))) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a))(a b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(a b))) 5. ==[ beta ]==> (((^y.(a a))(a b))((^y.(a a))(a b))) 6. ==[ alpha ]==> (((^x.(a a))(a b))((^y.(a a))(a b))) 7. ==[ beta ]==> ((a a)((^y.(a a))(a b))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(a b))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 130730/13325709. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 130731/13325763. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 7. ==[ beta ]==> ((^y.(^z.z))(b a)) 8. ==[ alpha ]==> ((^x.(^y.y))(b a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130732/13325790. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 130733/13325817. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 130734/13325871. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(b (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(b (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(b (^x.x))) REDUCED to normal form. ------ 130735/13325916. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(a a)) b)) REDUCED to normal form. ------ 130736/13325943. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) b) c)) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) b) c)) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b) c)) 5. ==[ beta ]==> (((a (^x.x)) a)(b c)) REDUCED to normal form. ------ 130737/13326033. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130738/13326060. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 130739/13326168. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 130740/13326195. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 130741/13326231. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.a))(b ((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(b ((a a)(a a)))) REDUCED to normal form. ------ 130742/13326258. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (b (^z.z)))) REDUCED to normal form. ------ 130743/13326285. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a))(a a))) 5. ==[ beta ]==> ((^y.y)(((a a)(a a))(a a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 7. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 130744/13326321. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z) c)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y) c)) 5. ==[ beta ]==> (((a a)(^x.x)) c) REDUCED to normal form. ------ 130745/13326582. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> (b ((a (^y.y))((^z.z) b))) 6. ==[ alpha ]==> (b ((a (^x.x))((^y.y) b))) 7. ==[ beta ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 130746/13326609. ------ 1. ==[ start ]==> ((((a a) a) a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 130747/13326708. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 7. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 8. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))((^x1.x1) a))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 130748/13326789. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 130749/13326807. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))((a b)(^x.b))) REDUCED to normal form. ------ 130750/13326834. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 130751/13326915. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 130752/13326942. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 130753/13326969. ------ 1. ==[ start ]==> ((a (a b))((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (a b))((a a)(^x.(a a)))) REDUCED to normal form. ------ 130754/13326978. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.y)((a a)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 130755/13327059. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.a))) IRREDUCIBLE: cycle. ------ 130756/13327140. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 130757/13327167. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(^z.b))) 3. ==[ beta ]==> ((a b)((^y.b)(^z.b))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.b))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 130758/13327284. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.a)(c (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.a)(c (a (^y.(^z.z))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 130759/13327311. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b ((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 130760/13327329. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 130761/13327338. ------ 1. ==[ start ]==> (((a b)(^a.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(a ((a a)(a a)))) REDUCED to normal form. ------ 130762/13327374. ------ 1. ==[ start ]==> (((a a)(a b))((^b.b) b)) 2. ==[ alpha ]==> (((a a)(a b))((^x.x) b)) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 130763/13327527. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a)(a b))) 3. ==[ beta ]==> (b (((a a) a)(a b))) REDUCED to normal form. ------ 130764/13327653. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.y1))) 5. ==[ beta ]==> ((^y.y)(b (^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(b (^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 130765/13327734. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 130766/13327815. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 130767/13327950. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> (b ((^z.a)(b a))) 4. ==[ alpha ]==> (b ((^x.a)(b a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 130768/13328022. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) b) a)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) b) a)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) b) a)) 5. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 130769/13328049. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 130770/13328076. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((b a) c)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((b a) c)) 3. ==[ beta ]==> ((a ((a a) a))((b a) c)) REDUCED to normal form. ------ 130771/13328418. ------ 1. ==[ start ]==> (((a b) c)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a b) c)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 130772/13328445. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (((a a) b)((a a)(a (a a)))) REDUCED to normal form. ------ 130773/13328472. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a b)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(^y.y))) REDUCED to normal form. ------ 130774/13328526. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a b)) REDUCED to normal form. ------ 130775/13328553. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.b))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.b))((a (a a))(a a))) REDUCED to normal form. ------ 130776/13328607. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130777/13328634. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 130778/13328652. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 130779/13328751. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 130780/13328778. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 130781/13328805. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((a (a b))(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((a (a b))(((a a) a)(^x.a))) REDUCED to normal form. ------ 130782/13328832. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a (a a))((a a) a))(^y.b)) 6. ==[ alpha ]==> (((a (a a))((a a) a))(^x.b)) REDUCED to normal form. ------ 130783/13328859. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(a a)))) 7. ==[ beta ]==> ((^y.y)((a (a a))(^z.(a a)))) 8. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 9. ==[ beta ]==> ((a (a a))(^y.(a a))) 10. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 130784/13328940. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 130785/13328967. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 130786/13328994. ------ 1. ==[ start ]==> ((a (b a))((b a) b)) REDUCED to normal form. ------ 130787/13329084. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 130788/13329165. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (b ((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 130789/13329228. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (b a))) REDUCED to normal form. ------ 130790/13329336. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.(a a)))((a a)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.(a a)))((a a) a)) REDUCED to normal form. ------ 130791/13329363. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a b)(a (a a)))) REDUCED to normal form. ------ 130792/13329417. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 130793/13329444. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))(a b))) REDUCED to normal form. ------ 130794/13329471. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(^x.a))(a (a a))) REDUCED to normal form. ------ 130795/13329498. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) REDUCED to normal form. ------ 130796/13329543. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 130797/13329561. ------ 1. ==[ start ]==> (((a a)(b a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((b a)(^x.x))) REDUCED to normal form. ------ 130798/13329588. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 130799/13329615. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> ((a (a a))((a a)(^y.a))) 8. ==[ alpha ]==> ((a (a a))((a a)(^x.a))) REDUCED to normal form. ------ 130800/13329642. ------ 1. ==[ start ]==> (((a (a a))(a b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a b)(^x.(x x)))) REDUCED to normal form. ------ 130801/13329669. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 130802/13329723. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (a a))(^x.b))) REDUCED to normal form. ------ 130803/13329750. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(a a)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(a a)))) 7. ==[ beta ]==> (((a a) a)(a (^y.(a a)))) 8. ==[ alpha ]==> (((a a) a)(a (^x.(a a)))) REDUCED to normal form. ------ 130804/13329831. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((b a) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((b a) a)) REDUCED to normal form. ------ 130805/13329921. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.(y y)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 130806/13330002. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 5. ==[ beta ]==> (b ((^y.b)(^y.b))) 6. ==[ alpha ]==> (b ((^x.b)(^y.b))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 130807/13330119. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 130808/13330146. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(a (^x1.x1)))) REDUCED to normal form. ------ 130809/13330227. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 8. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 130810/13330254. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))((a a) a))) 5. ==[ beta ]==> ((^y.b)((a (a a))((a a) a))) 6. ==[ alpha ]==> ((^x.b)((a (a a))((a a) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 130811/13330299. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c (^x1.(a a)))) 3. ==[ beta ]==> (b (c (^x1.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 130812/13330308. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 130813/13330335. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 130814/13330407. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130815/13330434. ------ 1. ==[ start ]==> ((a (^b.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 130816/13330452. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 130817/13330479. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(b a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.z))) REDUCED to normal form. ------ 130818/13330533. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)(^y.b))) 5. ==[ beta ]==> (((a (a a))(a a))(a (^y.b))) 6. ==[ alpha ]==> (((a (a a))(a a))(a (^x.b))) REDUCED to normal form. ------ 130819/13330560. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a b)((a (^y.y))(^z.(a a)))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 130820/13330614. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^y.y))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 130821/13330641. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(a a)) b)) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a)) b)) 5. ==[ beta ]==> (((a a)(a (a a)))((a a) b)) REDUCED to normal form. ------ 130822/13330668. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a b) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a b) c)) REDUCED to normal form. ------ 130823/13330758. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 130824/13330785. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a)(^x2.b))) 3. ==[ beta ]==> ((^y.y)((^z1.a)(^x2.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 130825/13331037. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(a b))) REDUCED to normal form. ------ 130826/13331064. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((b a)((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((b a)((a a)((^x.x)(a a)))) 5. ==[ beta ]==> ((b a)((a a)(a a))) REDUCED to normal form. ------ 130827/13331082. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(a (^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 130828/13331109. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 130829/13331244. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)((a a) a))) 3. ==[ beta ]==> (b ((^y.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 130830/13331352. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130831/13331532. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a)) a)) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(a a)) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a)) a)) 7. ==[ beta ]==> ((a a)((^y.(a a)) a)) 8. ==[ alpha ]==> ((a a)((^x.(a a)) a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 130832/13331559. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.b) b)) 3. ==[ beta ]==> ((((a a) a)(a b)) b) REDUCED to normal form. ------ 130833/13331586. ------ 1. ==[ start ]==> (((a b)((a a) a))((^c.a) c)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a) c)) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 130834/13331748. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a b)(^x.x))) REDUCED to normal form. ------ 130835/13331784. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 130836/13331919. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(a b))) 3. ==[ beta ]==> (b ((^z.z)(a b))) 4. ==[ alpha ]==> (b ((^x.x)(a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 130837/13332027. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(y1 y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130838/13332063. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b b)(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b b)(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b b)(c (^y.y))) 6. ==[ alpha ]==> ((b b)(c (^x.x))) REDUCED to normal form. ------ 130839/13332090. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b ((a a) a))) REDUCED to normal form. ------ 130840/13332108. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a)(a a))(^y.b)) 6. ==[ alpha ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 130841/13332144. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(a a))) REDUCED to normal form. ------ 130842/13332171. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(a (^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a (^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.y1))) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 130843/13332252. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 130844/13332270. ------ 1. ==[ start ]==> (((^a.b)(a b))(b (^c.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 130845/13332279. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)((a a) a))) REDUCED to normal form. ------ 130846/13332378. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(y1 y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130847/13332477. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((a a) a) a)) REDUCED to normal form. ------ 130848/13332504. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.z) b)) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) b)) 7. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 130849/13332639. ------ 1. ==[ start ]==> (((a b)(a b))((^c.a) a)) 2. ==[ alpha ]==> (((a b)(a b))((^x.a) a)) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 130850/13332666. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 130851/13332801. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 130852/13332828. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 130853/13332918. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2)((^y2.y2)(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2)((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130854/13332999. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 130855/13333143. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((b c)((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((b c)((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> ((b c)((a (^x.x)) a)) REDUCED to normal form. ------ 130856/13333170. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a)(a (a a)))) REDUCED to normal form. ------ 130857/13333215. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))(a a))) 5. ==[ beta ]==> ((b (^x.x))((a a)(a a))) REDUCED to normal form. ------ 130858/13333242. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 130859/13333296. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)(a (a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (a a))) REDUCED to normal form. ------ 130860/13333377. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 130861/13333386. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(b a)) REDUCED to normal form. ------ 130862/13333413. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(a (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.b))(a (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (a (a a)))) REDUCED to normal form. ------ 130863/13333485. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(b (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130864/13333494. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a) a)) REDUCED to normal form. ------ 130865/13333611. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(((^y.y) a) a)) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a a)) REDUCED to normal form. ------ 130866/13333638. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (^y.y)) b)) REDUCED to normal form. ------ 130867/13333665. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a a) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a a) c)) 3. ==[ beta ]==> ((a ((^y.y) b))((a a) c)) 4. ==[ alpha ]==> ((a ((^x.x) b))((a a) c)) 5. ==[ beta ]==> ((a b)((a a) c)) REDUCED to normal form. ------ 130868/13333692. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.a) a)) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 130869/13333719. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((b a)((^y.(^z.z)) b)) 6. ==[ alpha ]==> ((b a)((^x.(^y.y)) b)) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 130870/13333773. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)(a a))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 130871/13333800. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 130872/13333827. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (^y.y)) a)) REDUCED to normal form. ------ 130873/13333881. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 130874/13333908. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.z) b)) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.z) b)) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.y) b)) 5. ==[ beta ]==> ((b a)((^y.y) b)) 6. ==[ alpha ]==> ((b a)((^x.x) b)) 7. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 130875/13333935. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 130876/13333989. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.a) a)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.z) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 130877/13334015. ------ 1. ==[ start ]==> (^a.(b (b (^a.a)))) 2. ==[ alpha ]==> (^x.(b (b (^y.y)))) REDUCED to normal form. ------ 130878/13334016. ------ 1. ==[ start ]==> (a (b (b (^a.a)))) 2. ==[ alpha ]==> (a (b (b (^x.x)))) REDUCED to normal form. ------ 130879/13334046. ------ 1. ==[ start ]==> ((^a.(a a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> ((^x.(x x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 5. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130880/13342929. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^a.(a a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(x1 x1))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130881/13342965. ------ 1. ==[ start ]==> ((^a.a)(b (b (^a.a)))) 2. ==[ alpha ]==> ((^x.x)(b (b (^y.y)))) 3. ==[ beta ]==> (b (b (^y.y))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 130882/13342992. ------ 1. ==[ start ]==> ((^a.(a a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(x x))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a ((^y.(^z.z)) a))(a ((^y.(^z.z)) a))) 4. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(a ((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((a (^y.y))(a ((^z.(^x1.x1)) a))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.(^z.z)) a))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 130883/13342995. ------ 1. ==[ start ]==> ((a (a a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (a a))(^x.((^y.(^z.z)) x))) 3. ==[ eta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 130884/13343019. ------ 1. ==[ start ]==> ((^a.b)((b (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.b)((b (^y.y))(a a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 130885/13343100. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a (^z.(^x1.x1)))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 130886/13343289. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ eta ]==> ((^y.y)((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 130887/13343460. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 130888/13343769. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 130889/13343784. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b (^x1.x1)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 130890/13344342. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)(a b))) 2. ==[ alpha ]==> ((^x.((x x) x))((a b)(a b))) 3. ==[ beta ]==> ((((a b)(a b))((a b)(a b)))((a b)(a b))) REDUCED to normal form. ------ 130891/13344675. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 130892/13344867. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 130893/13345227. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 130894/13345242. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a)) a)) 3. ==[ beta ]==> (^y.(((^z.(a a)) a)((^z.(a a)) a))) 4. ==[ alpha ]==> (^x.(((^y.(a a)) a)((^z.(a a)) a))) 5. ==[ beta ]==> (^x.((a a)((^z.(a a)) a))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a)) a))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 130895/13345449. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))((^y1.y1)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))((^x1.x1)(a a)))(((^y1.y1)(^z1.z1))((^x2.x2)(a a))))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(a a)))(((^y1.y1)(^z1.z1))((^x2.x2)(a a)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 7. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 8. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 9. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 10. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 11. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 12. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(a a)))) 13. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 14. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(a a)))) 15. ==[ beta ]==> ((a a)((^y.y)(a a))) 16. ==[ alpha ]==> ((a a)((^x.x)(a a))) 17. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 130896/13346550. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 130897/13347711. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(x1 a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130898/13348320. ------ 1. ==[ start ]==> ((^a.(^b.b))((a b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130899/13348980. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 130900/13349196. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(a a))) REDUCED to normal form. ------ 130901/13349421. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z)(y y)))) 7. ==[ beta ]==> ((a a)(^y.((^z.z)(y y)))) 8. ==[ alpha ]==> ((a a)(^x.((^y.y)(x x)))) 9. ==[ beta ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 130902/13349610. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(a b))) 3. ==[ beta ]==> ((b (a a))(^y.(a b))) 4. ==[ alpha ]==> ((b (a a))(^x.(a b))) REDUCED to normal form. ------ 130903/13349808. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 130904/13350528. ------ 1. ==[ start ]==> (((a b)(a b))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.((x x) x))) REDUCED to normal form. ------ 130905/13350663. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x)))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 130906/13351194. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(a (a a)))) REDUCED to normal form. ------ 130907/13351302. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 130908/13351410. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 130909/13351581. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 130910/13351770. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 130911/13351797. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(a a))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(a a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(a a))) 5. ==[ beta ]==> ((b a)(^y.(a a))) 6. ==[ alpha ]==> ((b a)(^x.(a a))) REDUCED to normal form. ------ 130912/13351875. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(a (a a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(a (a a))) 3. ==[ eta ]==> ((^y.(^z.z))(a (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130913/13351878. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^a.(a a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(z z))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 130914/13351917. ------ 1. ==[ start ]==> ((a a)(b (b (^a.a)))) 2. ==[ alpha ]==> ((a a)(b (b (^x.x)))) REDUCED to normal form. ------ 130915/13351944. ------ 1. ==[ start ]==> ((a (a a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (a a))(a ((^x.(^y.y)) a))) 3. ==[ beta ]==> ((a (a a))(a (^y.y))) 4. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 130916/13351971. ------ 1. ==[ start ]==> ((a b)((b (^a.a))(a a))) 2. ==[ alpha ]==> ((a b)((b (^x.x))(a a))) REDUCED to normal form. ------ 130917/13352025. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) b)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))(b ((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a a))(b ((^x.x) a))) 5. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 130918/13352052. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 130919/13352187. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 130920/13352214. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(b a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(b a)) REDUCED to normal form. ------ 130921/13352241. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)((a (a a))(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 130922/13352286. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.(a a)))) REDUCED to normal form. ------ 130923/13352358. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((b (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 130924/13352412. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> ((a (^x.(x x)))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 130925/13352520. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> ((((^y.y)(a a))(^z.b))(((^y.y)(a a))(^z.b))) 6. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z)(a a))(^x1.b))) 7. ==[ beta ]==> (((a a)(^y.b))(((^z.z)(a a))(^x1.b))) 8. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a))(^z.b))) 9. ==[ beta ]==> (((a a)(^x.b))((a a)(^z.b))) 10. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.b))) REDUCED to normal form. ------ 130926/13352547. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 130927/13352583. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 130928/13352610. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 130929/13352628. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))((a (a a))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 130930/13352637. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 130931/13352655. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 130932/13352664. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 130933/13352691. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((a a)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 130934/13352718. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(b (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.y))) REDUCED to normal form. ------ 130935/13352736. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b (^z.z)) a)) REDUCED to normal form. ------ 130936/13352826. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 130937/13352961. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 130938/13353015. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(^y1.(^z1.z1)))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 130939/13353042. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 130940/13353069. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 130941/13353159. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(b (a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 130942/13353186. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 130943/13353213. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((b a)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((b a)(a (a a)))) 5. ==[ beta ]==> ((a a)((b a)(a (a a)))) REDUCED to normal form. ------ 130944/13353240. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 130945/13353267. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))((a a) a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))((a a) a))) 7. ==[ beta ]==> ((a a)((a a)((a a) a))) REDUCED to normal form. ------ 130946/13353294. ------ 1. ==[ start ]==> ((a ((a a) a))((a b)(a b))) REDUCED to normal form. ------ 130947/13353420. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c (^z.z))) 3. ==[ beta ]==> (((^y.y) b)(c (^z.z))) 4. ==[ alpha ]==> (((^x.x) b)(c (^y.y))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 130948/13353447. ------ 1. ==[ start ]==> ((((a a) a) a)(b (^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(b (^x.(a a)))) REDUCED to normal form. ------ 130949/13353492. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a)(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 130950/13353501. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 130951/13353528. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 130952/13353546. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(^x1.a))) 7. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.a))) 8. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 130953/13353555. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 130954/13353627. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.b))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 130955/13353798. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 130956/13353816. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.b)((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.b)((a a)(^y.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 130957/13353960. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 130958/13353987. ------ 1. ==[ start ]==> (((a b) a)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b) a)((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 130959/13354014. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 130960/13354068. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 130961/13354122. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 130962/13354149. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 130963/13354176. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 130964/13354194. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a)) a)) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 130965/13354212. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) b)(a a))) 3. ==[ beta ]==> (((a a)(a b))(b (a a))) REDUCED to normal form. ------ 130966/13354239. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 130967/13354266. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((b a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a)((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))((b a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))((b a)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))((b a) a)) REDUCED to normal form. ------ 130968/13354293. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 130969/13354320. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a (((^y.y)(a a))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (a (((^x.x)(a a))((^y.y)(^z.z)))) 9. ==[ beta ]==> (a ((a a)((^y.y)(^z.z)))) 10. ==[ alpha ]==> (a ((a a)((^x.x)(^y.y)))) 11. ==[ beta ]==> (a ((a a)(^y.y))) 12. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 130970/13354347. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a b)((a a) a))) REDUCED to normal form. ------ 130971/13354374. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)(a b))) REDUCED to normal form. ------ 130972/13354401. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 9. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 130973/13354572. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 130974/13354581. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 130975/13354626. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(z z)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 130976/13354635. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 130977/13354653. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 130978/13354662. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 130979/13354707. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a) a)(^x1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a)(^x1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(^y1.b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.b))) 9. ==[ beta ]==> ((^y.y)(((a a) a)(^z.b))) 10. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.b))) 11. ==[ beta ]==> (((a a) a)(^y.b)) 12. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 130980/13354716. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 130981/13354743. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(a a)))((^y.(^z.z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130982/13354770. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 130983/13354797. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 130984/13354824. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 130985/13355013. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.b)(^z.a))) 3. ==[ beta ]==> (b ((^y.b)(^z.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 130986/13355445. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(c (^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130987/13355472. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 130988/13355499. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (^b.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 130989/13355526. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 130990/13356111. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((b a)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((b a)((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 130991/13356660. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130992/13356678. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((b a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((b a) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((b a) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 130993/13357002. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 130994/13357146. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.(a a)))) REDUCED to normal form. ------ 130995/13357173. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 130996/13357245. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 130997/13357254. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 130998/13357272. ------ 1. ==[ start ]==> ((a (^b.b))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 130999/13357551. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131000/13357758. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b) c)) 3. ==[ beta ]==> (b ((^z.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 131001/13357875. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c (^z.b))) REDUCED to normal form. ------ 131002/13357902. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(b (^y.(a a)))) 3. ==[ beta ]==> ((b a)(b (^y.(a a)))) 4. ==[ alpha ]==> ((b a)(b (^x.(a a)))) REDUCED to normal form. ------ 131003/13357929. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 131004/13357947. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(a a))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 131005/13357956. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 131006/13358001. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 131007/13358037. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 131008/13358064. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.z))) 9. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 10. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 131009/13358082. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 131010/13358091. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 131011/13358118. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 131012/13358145. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 131013/13358190. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131014/13358199. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 131015/13358226. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 131016/13358316. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c ((a a) a))) 3. ==[ beta ]==> ((a (b a))(c ((a a) a))) REDUCED to normal form. ------ 131017/13358343. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(b (a b))) REDUCED to normal form. ------ 131018/13358370. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)(a ((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)(a ((^x.x)(a a)))) 9. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 131019/13358397. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a b)(a a))) REDUCED to normal form. ------ 131020/13358424. ------ 1. ==[ start ]==> (((a b)((a a) a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 131021/13358451. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1) a))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z) a))) 9. ==[ beta ]==> (((a a)(^x.x))((^z.z) a)) 10. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 11. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 131022/13358478. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 131023/13358532. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.x1))((a a) a))) REDUCED to normal form. ------ 131024/13358559. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a a)(a b))) 3. ==[ beta ]==> ((b (a a))((a a)(a b))) REDUCED to normal form. ------ 131025/13358622. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 131026/13358757. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.b))) 3. ==[ beta ]==> (b ((a a)(^z.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 131027/13358901. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 131028/13358973. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.b) a)) 3. ==[ beta ]==> ((^y.y)((^x1.b) a)) 4. ==[ alpha ]==> ((^x.x)((^y.b) a)) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 131029/13359027. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y)) c)) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 131030/13359090. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 131031/13359117. ------ 1. ==[ start ]==> (((a b)(^a.b))(b (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(b (^y.a))) REDUCED to normal form. ------ 131032/13359171. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 131033/13359216. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a (a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131034/13359225. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(((^y1.y1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a ((^y1.y1) a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a ((^x1.x1) a))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a a)) REDUCED to normal form. ------ 131035/13359252. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 131036/13359279. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 131037/13359450. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)(a a))(b (^y.y))) 6. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.x))) REDUCED to normal form. ------ 131038/13359477. ------ 1. ==[ start ]==> (((a b)(a b))(a ((a a) a))) REDUCED to normal form. ------ 131039/13359504. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)((a a) a))((^y.y)(a a))) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(a a))) 7. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 131040/13359531. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 131041/13359585. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 131042/13359612. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (a (^x.x)))((a a)(^z.z))) 6. ==[ alpha ]==> ((b (a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 131043/13359756. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a a)(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131044/13359837. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z) a) c)) 3. ==[ beta ]==> (b (((^z.z) a) c)) 4. ==[ alpha ]==> (b (((^x.x) a) c)) 5. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 131045/13359945. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131046/13359981. ------ 1. ==[ start ]==> ((((^a.a) b) c)(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(c (^y.a))) 3. ==[ beta ]==> ((b c)(c (^y.a))) 4. ==[ alpha ]==> ((b c)(c (^x.a))) REDUCED to normal form. ------ 131047/13360008. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(b (^x.(x x)))) REDUCED to normal form. ------ 131048/13360053. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 131049/13360080. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 131050/13360116. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 131051/13360134. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a)(^y1.(y1 y1)))) REDUCED to normal form. ------ 131052/13360143. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 131053/13360215. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (^z.z)) c)) 3. ==[ beta ]==> (b ((a (^z.z)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 131054/13360224. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 131055/13360251. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.(y y))) REDUCED to normal form. ------ 131056/13360332. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(b (^x1.a))) REDUCED to normal form. ------ 131057/13360359. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(a (^z.(z z)))) 3. ==[ beta ]==> ((b (^y.a))(a (^z.(z z)))) 4. ==[ alpha ]==> ((b (^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 131058/13360386. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 131059/13360503. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(b (a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) b))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(b (a (^y.y)))) 5. ==[ beta ]==> ((a b)(b (a (^y.y)))) 6. ==[ alpha ]==> ((a b)(b (a (^x.x)))) REDUCED to normal form. ------ 131060/13360530. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 131061/13360557. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (^z.z))(a a))) 3. ==[ beta ]==> (((^y.y)(b a))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(a a))) 5. ==[ beta ]==> ((b a)((a (^y.y))(a a))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(a a))) REDUCED to normal form. ------ 131062/13360584. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 131063/13360611. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(c a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(c a)) 3. ==[ beta ]==> (((a b)(a a))(c a)) REDUCED to normal form. ------ 131064/13360638. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(b b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(b b)) 3. ==[ beta ]==> (((a a)(a b))(b b)) REDUCED to normal form. ------ 131065/13360719. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a (a (^z.z)))) REDUCED to normal form. ------ 131066/13360746. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a a)(a a))) 3. ==[ beta ]==> ((b ((^y.y) a))((a a)(a a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a a)(a a))) 5. ==[ beta ]==> ((b a)((a a)(a a))) REDUCED to normal form. ------ 131067/13360773. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(b a)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(b a)) REDUCED to normal form. ------ 131068/13360827. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(a (a a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(a (a a))) 3. ==[ beta ]==> ((a (^y.y))(a (a a))) 4. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 131069/13363143. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((z z)(z z)))) 3. ==[ beta ]==> (^y.((^z.((z z)(z z)))(^z.((z z)(z z))))) 4. ==[ alpha ]==> (^x.((^y.((y y)(y y)))(^z.((z z)(z z))))) 5. ==[ beta ]==> (^x.(((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))) 6. ==[ alpha ]==> (^x.(((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))) 7. ==[ beta ]==> (^x.((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))) 8. ==[ alpha ]==> (^x.((((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))) 9. ==[ beta ]==> (^x.(((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))) 10. ==[ alpha ]==> (^x.(((((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))) 11. ==[ beta ]==> (^x.((((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))) 12. ==[ alpha ]==> (^x.((((((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))) 13. ==[ beta ]==> (^x.(((((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))) 14. ==[ alpha ]==> (^x.(((((((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))) 15. ==[ beta ]==> (^x.((((((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))) 16. ==[ alpha ]==> (^x.((((((((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))) 17. ==[ beta ]==> (^x.(((((((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))) 18. ==[ alpha ]==> (^x.(((((((((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))) 19. ==[ beta ]==> (^x.((((((((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))) 20. ==[ alpha ]==> (^x.((((((((((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))) 21. ==[ beta ]==> (^x.(((((((((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))) 22. ==[ alpha ]==> (^x.(((((((((((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))((^y6.((y6 y6)(y6 y6)))(^z6.((z6 z6)(z6 z6)))))) 23. ==[ beta ]==> (^x.((((((((((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))((^y6.((y6 y6)(y6 y6)))(^z6.((z6 z6)(z6 z6)))))) 24. ==[ alpha ]==> (^x.((((((((((((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))((^y6.((y6 y6)(y6 y6)))(^z6.((z6 z6)(z6 z6)))))((^x7.((x7 x7)(x7 x7)))(^y7.((y7 y7)(y7 y7)))))) 25. ==[ beta ]==> (^x.(((((((((((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))((^y6.((y6 y6)(y6 y6)))(^z6.((z6 z6)(z6 z6)))))((^x7.((x7 x7)(x7 x7)))(^y7.((y7 y7)(y7 y7)))))) 26. ==[ alpha ]==> (^x.(((((((((((((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))((^y6.((y6 y6)(y6 y6)))(^z6.((z6 z6)(z6 z6)))))((^x7.((x7 x7)(x7 x7)))(^y7.((y7 y7)(y7 y7)))))((^z7.((z7 z7)(z7 z7)))(^x8.((x8 x8)(x8 x8)))))) 27. ==[ beta ]==> (^x.((((((((((((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))((^y6.((y6 y6)(y6 y6)))(^z6.((z6 z6)(z6 z6)))))((^x7.((x7 x7)(x7 x7)))(^y7.((y7 y7)(y7 y7)))))((^z7.((z7 z7)(z7 z7)))(^x8.((x8 x8)(x8 x8)))))) 28. ==[ alpha ]==> (^x.((((((((((((((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))((^y6.((y6 y6)(y6 y6)))(^z6.((z6 z6)(z6 z6)))))((^x7.((x7 x7)(x7 x7)))(^y7.((y7 y7)(y7 y7)))))((^z7.((z7 z7)(z7 z7)))(^x8.((x8 x8)(x8 x8)))))((^y8.((y8 y8)(y8 y8)))(^z8.((z8 z8)(z8 z8)))))) 29. ==[ beta ]==> (^x.(((((((((((((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))((^y6.((y6 y6)(y6 y6)))(^z6.((z6 z6)(z6 z6)))))((^x7.((x7 x7)(x7 x7)))(^y7.((y7 y7)(y7 y7)))))((^z7.((z7 z7)(z7 z7)))(^x8.((x8 x8)(x8 x8)))))((^y8.((y8 y8)(y8 y8)))(^z8.((z8 z8)(z8 z8)))))) 30. ==[ alpha ]==> (^x.(((((((((((((((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))((^y6.((y6 y6)(y6 y6)))(^z6.((z6 z6)(z6 z6)))))((^x7.((x7 x7)(x7 x7)))(^y7.((y7 y7)(y7 y7)))))((^z7.((z7 z7)(z7 z7)))(^x8.((x8 x8)(x8 x8)))))((^y8.((y8 y8)(y8 y8)))(^z8.((z8 z8)(z8 z8)))))((^x9.((x9 x9)(x9 x9)))(^y9.((y9 y9)(y9 y9)))))) 31. ==[ beta ]==> (^x.((((((((((((((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))((^y6.((y6 y6)(y6 y6)))(^z6.((z6 z6)(z6 z6)))))((^x7.((x7 x7)(x7 x7)))(^y7.((y7 y7)(y7 y7)))))((^z7.((z7 z7)(z7 z7)))(^x8.((x8 x8)(x8 x8)))))((^y8.((y8 y8)(y8 y8)))(^z8.((z8 z8)(z8 z8)))))((^x9.((x9 x9)(x9 x9)))(^y9.((y9 y9)(y9 y9)))))) 32. ==[ alpha ]==> (^x.((((((((((((((((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))((^y6.((y6 y6)(y6 y6)))(^z6.((z6 z6)(z6 z6)))))((^x7.((x7 x7)(x7 x7)))(^y7.((y7 y7)(y7 y7)))))((^z7.((z7 z7)(z7 z7)))(^x8.((x8 x8)(x8 x8)))))((^y8.((y8 y8)(y8 y8)))(^z8.((z8 z8)(z8 z8)))))((^x9.((x9 x9)(x9 x9)))(^y9.((y9 y9)(y9 y9)))))((^z9.((z9 z9)(z9 z9)))(^x10.((x10 x10)(x10 x10)))))) 33. ==[ beta ]==> (^x.(((((((((((((((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))((^y6.((y6 y6)(y6 y6)))(^z6.((z6 z6)(z6 z6)))))((^x7.((x7 x7)(x7 x7)))(^y7.((y7 y7)(y7 y7)))))((^z7.((z7 z7)(z7 z7)))(^x8.((x8 x8)(x8 x8)))))((^y8.((y8 y8)(y8 y8)))(^z8.((z8 z8)(z8 z8)))))((^x9.((x9 x9)(x9 x9)))(^y9.((y9 y9)(y9 y9)))))((^z9.((z9 z9)(z9 z9)))(^x10.((x10 x10)(x10 x10)))))) 34. ==[ alpha ]==> (^x.(((((((((((((((((^y.((y y)(y y)))(^z.((z z)(z z))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))((^y6.((y6 y6)(y6 y6)))(^z6.((z6 z6)(z6 z6)))))((^x7.((x7 x7)(x7 x7)))(^y7.((y7 y7)(y7 y7)))))((^z7.((z7 z7)(z7 z7)))(^x8.((x8 x8)(x8 x8)))))((^y8.((y8 y8)(y8 y8)))(^z8.((z8 z8)(z8 z8)))))((^x9.((x9 x9)(x9 x9)))(^y9.((y9 y9)(y9 y9)))))((^z9.((z9 z9)(z9 z9)))(^x10.((x10 x10)(x10 x10)))))((^y10.((y10 y10)(y10 y10)))(^z10.((z10 z10)(z10 z10)))))) 35. ==[ beta ]==> (^x.((((((((((((((((((^z.((z z)(z z)))(^z.((z z)(z z))))((^z.((z z)(z z)))(^z.((z z)(z z)))))((^x1.((x1 x1)(x1 x1)))(^y1.((y1 y1)(y1 y1)))))((^z1.((z1 z1)(z1 z1)))(^x2.((x2 x2)(x2 x2)))))((^y2.((y2 y2)(y2 y2)))(^z2.((z2 z2)(z2 z2)))))((^x3.((x3 x3)(x3 x3)))(^y3.((y3 y3)(y3 y3)))))((^z3.((z3 z3)(z3 z3)))(^x4.((x4 x4)(x4 x4)))))((^y4.((y4 y4)(y4 y4)))(^z4.((z4 z4)(z4 z4)))))((^x5.((x5 x5)(x5 x5)))(^y5.((y5 y5)(y5 y5)))))((^z5.((z5 z5)(z5 z5)))(^x6.((x6 x6)(x6 x6)))))((^y6.((y6 y6)(y6 y6)))(^z6.((z6 z6)(z6 z6)))))((^x7.((x7 x7)(x7 x7)))(^y7.((y7 y7)(y7 y7)))))((^z7.((z7 z7)(z7 z7)))(^x8.((x8 x8)(x8 x8)))))((^y8.((y8 y8)(y8 y8)))(^z8.((z8 z8)(z8 z8)))))((^x9.((x9 x9)(x9 x9)))(^y9.((y9 y9)(y9 y9)))))((^z9.((z9 z9)(z9 z9)))(^x10.((x10 x10)(x10 x10)))))((^y10.((y10 y10)(y10 y10)))(^z10.((z10 z10)(z10 z10)))))) UNREDUCED: maximal number of reductions reached. ------ 131070/13365618. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(x1 a))) 3. ==[ beta ]==> ((^x1.(x1 a))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(x a))(^y.(^z.z))) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131071/13367535. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((^y.(^z.(y y)))(^y.(^z.(y y))))((^y.(^z.(y y)))(^y.(^z.(y y))))) 4. ==[ alpha ]==> (((^x.(^y.(x x)))(^z.(^x1.(z z))))((^y1.(^z1.(y1 y1)))(^x2.(^y2.(x2 x2))))) 5. ==[ beta ]==> ((^y.((^z.(^x1.(z z)))(^z.(^x1.(z z)))))((^y1.(^z1.(y1 y1)))(^x2.(^y2.(x2 x2))))) 6. ==[ alpha ]==> ((^x.((^y.(^z.(y y)))(^x1.(^y1.(x1 x1)))))((^z1.(^x2.(z1 z1)))(^y2.(^z2.(y2 y2))))) 7. ==[ beta ]==> ((^y.(^z.(y y)))(^x1.(^y1.(x1 x1)))) 8. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(z z)))) 9. ==[ beta ]==> (^y.((^z.(^x1.(z z)))(^z.(^x1.(z z))))) 10. ==[ alpha ]==> (^x.((^y.(^z.(y y)))(^x1.(^y1.(x1 x1))))) 11. ==[ beta ]==> (^x.(^z.((^x1.(^y1.(x1 x1)))(^x1.(^y1.(x1 x1)))))) 12. ==[ alpha ]==> (^x.(^y.((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1)))))) 13. ==[ beta ]==> (^x.(^y.(^x1.((^y1.(^z1.(y1 y1)))(^y1.(^z1.(y1 y1))))))) 14. ==[ alpha ]==> (^x.(^y.(^z.((^x1.(^y1.(x1 x1)))(^z1.(^x2.(z1 z1))))))) 15. ==[ beta ]==> (^x.(^y.(^z.(^y1.((^z1.(^x2.(z1 z1)))(^z1.(^x2.(z1 z1)))))))) 16. ==[ alpha ]==> (^x.(^y.(^z.(^x1.((^y1.(^z1.(y1 y1)))(^x2.(^y2.(x2 x2)))))))) 17. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^z1.((^x2.(^y2.(x2 x2)))(^x2.(^y2.(x2 x2))))))))) 18. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.((^z1.(^x2.(z1 z1)))(^y2.(^z2.(y2 y2))))))))) 19. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^x2.((^y2.(^z2.(y2 y2)))(^y2.(^z2.(y2 y2)))))))))) 20. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.((^x2.(^y2.(x2 x2)))(^z2.(^x3.(z2 z2)))))))))) 21. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^y2.((^z2.(^x3.(z2 z2)))(^z2.(^x3.(z2 z2))))))))))) 22. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.((^y2.(^z2.(y2 y2)))(^x3.(^y3.(x3 x3))))))))))) 23. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^z2.((^x3.(^y3.(x3 x3)))(^x3.(^y3.(x3 x3)))))))))))) 24. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.((^z2.(^x3.(z2 z2)))(^y3.(^z3.(y3 y3)))))))))))) 25. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^x3.((^y3.(^z3.(y3 y3)))(^y3.(^z3.(y3 y3))))))))))))) 26. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.((^x3.(^y3.(x3 x3)))(^z3.(^x4.(z3 z3))))))))))))) 27. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^y3.((^z3.(^x4.(z3 z3)))(^z3.(^x4.(z3 z3)))))))))))))) 28. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.((^y3.(^z3.(y3 y3)))(^x4.(^y4.(x4 x4)))))))))))))) 29. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^z3.((^x4.(^y4.(x4 x4)))(^x4.(^y4.(x4 x4))))))))))))))) 30. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.((^z3.(^x4.(z3 z3)))(^y4.(^z4.(y4 y4))))))))))))))) 31. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^x4.((^y4.(^z4.(y4 y4)))(^y4.(^z4.(y4 y4)))))))))))))))) 32. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.((^x4.(^y4.(x4 x4)))(^z4.(^x5.(z4 z4)))))))))))))))) 33. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^y4.((^z4.(^x5.(z4 z4)))(^z4.(^x5.(z4 z4))))))))))))))))) 34. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.((^y4.(^z4.(y4 y4)))(^x5.(^y5.(x5 x5))))))))))))))))) 35. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^z4.((^x5.(^y5.(x5 x5)))(^x5.(^y5.(x5 x5)))))))))))))))))) UNREDUCED: maximal number of reductions reached. ------ 131072/13369776. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(^y1.y1))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131073/13369830. ------ 1. ==[ start ]==> ((^a.(^a.a))(b (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (b (^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131074/13369860. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> (((^x.x)(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 131075/13369911. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 131076/13370073. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (^y.((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> (^x.((a b)((^y.y)(a a)))) 5. ==[ beta ]==> (^x.((a b)(a a))) REDUCED to normal form. ------ 131077/13371711. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) b)) b) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 131078/13372098. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a ((a a)(a a)))) 3. ==[ beta ]==> (^y.((a ((a a)(a a)))(a ((a a)(a a))))) 4. ==[ alpha ]==> (^x.((a ((a a)(a a)))(a ((a a)(a a))))) REDUCED to normal form. ------ 131079/13372101. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((y y)(y y)))) REDUCED to normal form. ------ 131080/13372767. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)((^x.x)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.y)) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 131081/13372980. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(^y1.(a a)))((^z.(^x1.x1))(^y1.(a a))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(a a))))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.(a a))))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(a a))))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a)))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.x1)) 9. ==[ beta ]==> ((^y.y)(^x1.x1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131082/13373397. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 131083/13373712. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 131084/13373736. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ eta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 131085/13374018. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> ((b a)(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 131086/13374285. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)(b a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 131087/13374306. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 131088/13374573. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)(b a))) 3. ==[ beta ]==> (((^x1.x1)(b a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.z))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 131089/13374576. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(b a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(z a))) REDUCED to normal form. ------ 131090/13374855. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(b y1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(^x1.x1)) b) 4. ==[ beta ]==> ((^y.(^z.z)) b) 5. ==[ alpha ]==> ((^x.(^y.y)) b) 6. ==[ beta ]==> (^y.y) 7. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131091/13375359. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 131092/13375491. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 131093/13375827. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 7. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 131094/13376277. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(a a)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 131095/13376490. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a (^y.(a a)))) 3. ==[ beta ]==> (((a (^y.(a a)))(a (^y.(a a))))((a (^y.(a a)))(a (^y.(a a))))) 4. ==[ alpha ]==> (((a (^x.(a a)))(a (^y.(a a))))((a (^z.(a a)))(a (^x1.(a a))))) REDUCED to normal form. ------ 131096/13376493. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.(x x)))) REDUCED to normal form. ------ 131097/13376880. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(x1 b))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 131098/13377222. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.((a a) a))) REDUCED to normal form. ------ 131099/13377384. ------ 1. ==[ start ]==> (((a b)(a b))(^b.(^c.a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 131100/13377570. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131101/13378158. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.d)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.d)) 3. ==[ beta ]==> (((a a)(^y.b))(^z.d)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.d)) REDUCED to normal form. ------ 131102/13378356. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^y.a)) REDUCED to normal form. ------ 131103/13378437. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^x1.a))) REDUCED to normal form. ------ 131104/13378518. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.y))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.y))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 131105/13378572. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 131106/13378626. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 131107/13378680. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 131108/13378731. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.x1)(^y1.y1))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131109/13378734. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^b.(^a.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 131110/13378791. ------ 1. ==[ start ]==> ((a (^a.a))(b (b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (b (^y.y)))) REDUCED to normal form. ------ 131111/13378818. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((^y.y)(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 131112/13378845. ------ 1. ==[ start ]==> (((^a.a)(a a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a a))((b (^y.y))(a a))) 3. ==[ beta ]==> ((a a)((b (^y.y))(a a))) 4. ==[ alpha ]==> ((a a)((b (^x.x))(a a))) REDUCED to normal form. ------ 131113/13378872. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(a a))(a (^z.z)))) REDUCED to normal form. ------ 131114/13378881. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(a a)) c)) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a)) c)) 3. ==[ beta ]==> (b ((^y.(a a)) c)) 4. ==[ alpha ]==> (b ((^x.(a a)) c)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 131115/13378926. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131116/13378953. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((b a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 131117/13378980. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 131118/13379007. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (((^y.y)(a a))(a b)) 6. ==[ alpha ]==> (((^x.x)(a a))(a b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 131119/13379034. ------ 1. ==[ start ]==> ((a (^b.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.a))((a b)(a a))) REDUCED to normal form. ------ 131120/13379115. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.a)((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.a)((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 131121/13379142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 131122/13379196. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(b (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)((a a)(b (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(b (^y.y)))) 5. ==[ beta ]==> (a ((a a)(b (^y.y)))) 6. ==[ alpha ]==> (a ((a a)(b (^x.x)))) REDUCED to normal form. ------ 131123/13379232. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 131124/13379259. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 131125/13379295. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 131126/13379322. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 131127/13379448. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 131128/13379502. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 131129/13379529. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.z))) REDUCED to normal form. ------ 131130/13379673. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.a)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.a)) REDUCED to normal form. ------ 131131/13379700. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 131132/13379952. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b ((a a)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b ((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((a a)(a a)))) REDUCED to normal form. ------ 131133/13380195. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 131134/13380249. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a))(b a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a))(b a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a))(b a))) 5. ==[ beta ]==> (a ((a (a a))(b a))) REDUCED to normal form. ------ 131135/13380330. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 131136/13380366. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(a a))(^x1.x1))) REDUCED to normal form. ------ 131137/13380393. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 131138/13380420. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 131139/13380447. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131140/13380474. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 131141/13380510. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a))((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 131142/13380537. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 131143/13380591. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 131144/13380618. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(b a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(b a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(b a))) 7. ==[ beta ]==> ((a (^x.x))((b a)(b a))) REDUCED to normal form. ------ 131145/13380645. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 131146/13380663. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))(^z.z))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 131147/13380672. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 131148/13381032. ------ 1. ==[ start ]==> (((^a.b)(a a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a a))(b ((^y.y) b))) 3. ==[ beta ]==> (b (b ((^y.y) b))) 4. ==[ alpha ]==> (b (b ((^x.x) b))) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 131149/13381059. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a ((a a)(a a)))) REDUCED to normal form. ------ 131150/13381275. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 131151/13381302. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (a a))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 131152/13381356. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 131153/13381446. ------ 1. ==[ start ]==> (((a b) b)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 131154/13381473. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((b a)(^y.a))) 3. ==[ beta ]==> (((a a) a)((b a)(^y.a))) 4. ==[ alpha ]==> (((a a) a)((b a)(^x.a))) REDUCED to normal form. ------ 131155/13381500. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 131156/13381527. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 131157/13381581. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(^z.b))) REDUCED to normal form. ------ 131158/13381608. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(a a)))(((^y.y)(^z.z))(^x1.(a a)))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 9. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 10. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(a a)))) 11. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.(a a)))) 12. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.(a a)))) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 131159/13381635. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 131160/13381689. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 131161/13381725. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y) b))) 5. ==[ beta ]==> (((a a)(a a))((^y.y) b)) 6. ==[ alpha ]==> (((a a)(a a))((^x.x) b)) 7. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 131162/13381752. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 131163/13381779. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 131164/13381860. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 131165/13381887. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 131166/13381941. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 131167/13382112. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((b a)(a (^z.z)))) 3. ==[ beta ]==> (b ((b a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((b a)(a (^x.x)))) REDUCED to normal form. ------ 131168/13382121. ------ 1. ==[ start ]==> (((a b) c)((^d.a) c)) 2. ==[ alpha ]==> (((a b) c)((^x.a) c)) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 131169/13382148. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z)) d)) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) d)) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 131170/13382193. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a b)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 131171/13382220. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 131172/13382274. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))(a a))) REDUCED to normal form. ------ 131173/13382355. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 131174/13382391. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 131175/13382418. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 131176/13382481. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 131177/13382508. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 131178/13382562. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a b))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 9. ==[ beta ]==> ((^y.(^z.z))(a b)) 10. ==[ alpha ]==> ((^x.(^y.y))(a b)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131179/13382589. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((((a a) a)(a (a a)))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> ((((a a) a)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 131180/13382616. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b) a)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 131181/13382643. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(b a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 131182/13382670. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 131183/13382697. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 131184/13382976. ------ 1. ==[ start ]==> (((^a.a)(b a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((b a)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((b a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 131185/13383003. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 131186/13383039. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 131187/13383057. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (((a b)(a b))((a a)((^y.y) a))) 6. ==[ alpha ]==> (((a b)(a b))((a a)((^x.x) a))) 7. ==[ beta ]==> (((a b)(a b))((a a) a)) REDUCED to normal form. ------ 131188/13383138. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (b ((^y.y)((a a) a))) 6. ==[ alpha ]==> (b ((^x.x)((a a) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 131189/13383246. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(b a))) REDUCED to normal form. ------ 131190/13383264. ------ 1. ==[ start ]==> (((a a)(b a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(b a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 131191/13383345. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 131192/13383372. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(a (a a)))) 5. ==[ beta ]==> (((a a) a)((^y.b)(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(a (a a)))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 131193/13383426. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 131194/13383453. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(a b))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(a b))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(a b))) 7. ==[ beta ]==> (((a a) a)((a b)(a b))) REDUCED to normal form. ------ 131195/13383480. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 131196/13383534. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)(b a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(b a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(b a)) REDUCED to normal form. ------ 131197/13383813. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a (b a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131198/13383840. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 131199/13383867. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 131200/13383921. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a) a)(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 131201/13384002. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (b (((^x1.x1) a)(a b))) 4. ==[ alpha ]==> (b (((^x.x) a)(a b))) 5. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 131202/13384119. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 131203/13384155. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 131204/13384182. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 131205/13384209. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 131206/13384236. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))((a a) a))) 5. ==[ beta ]==> (((a (a a))(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 131207/13384263. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(a b))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(a b))) 5. ==[ beta ]==> ((a b)((^y.a)(a b))) 6. ==[ alpha ]==> ((a b)((^x.a)(a b))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 131208/13384290. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 131209/13384317. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a b)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 131210/13384371. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 131211/13384452. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 131212/13384623. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b)(a (^z.z)))) 3. ==[ beta ]==> (b ((a b)(a (^z.z)))) 4. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 131213/13384731. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1) a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131214/13384785. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> (b ((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 131215/13384821. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(a a))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(^y1.y1))) REDUCED to normal form. ------ 131216/13384902. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 131217/13384929. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 131218/13384956. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a))(a (^z.a))) 4. ==[ alpha ]==> (((a b)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 131219/13384983. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 131220/13385010. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 131221/13385064. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a b) b)) REDUCED to normal form. ------ 131222/13385091. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((a a) a) c)) 3. ==[ beta ]==> ((b (^y.y))(((a a) a) c)) 4. ==[ alpha ]==> ((b (^x.x))(((a a) a) c)) REDUCED to normal form. ------ 131223/13385127. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 131224/13385154. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 131225/13385181. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (b a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 131226/13385208. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 131227/13385235. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 9. ==[ beta ]==> ((a a)(^y.(a a))) 10. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 131228/13385424. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(b (^y.b))) 3. ==[ beta ]==> ((b (a a))(b (^y.b))) 4. ==[ alpha ]==> ((b (a a))(b (^x.b))) REDUCED to normal form. ------ 131229/13385451. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(a (^x.(a a)))) REDUCED to normal form. ------ 131230/13385811. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(b ((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(b ((a a) a))) REDUCED to normal form. ------ 131231/13385838. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(a (a b))) 3. ==[ beta ]==> ((^y.y)(a (a b))) 4. ==[ alpha ]==> ((^x.x)(a (a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 131232/13385847. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 131233/13385892. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((b a)(b a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((b a)(b a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((b a)(b a))(a (^y.y))) 8. ==[ alpha ]==> (((b a)(b a))(a (^x.x))) REDUCED to normal form. ------ 131234/13385973. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 131235/13386036. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 131236/13386090. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (a a))(^x1.a))) REDUCED to normal form. ------ 131237/13386117. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a (^x1.(x1 x1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 131238/13386144. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 131239/13386180. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)((a a) a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((a a) a)) REDUCED to normal form. ------ 131240/13386207. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 131241/13386234. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 131242/13386261. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a (a a))(b a))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 131243/13386288. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 131244/13386315. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 131245/13386342. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a b)(a b))(^y.a)) 4. ==[ alpha ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 131246/13386477. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 131247/13386531. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 131248/13386810. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131249/13386846. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a) c)) 3. ==[ beta ]==> ((b c)((^y.a) c)) 4. ==[ alpha ]==> ((b c)((^x.a) c)) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 131250/13386981. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 131251/13387008. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 131252/13387080. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(c (a (^z.z)))) 3. ==[ beta ]==> (b (c (a (^z.z)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 131253/13387089. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (^y.y)) c)) REDUCED to normal form. ------ 131254/13387188. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131255/13387251. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 131256/13387314. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(b (^x.x))) a) REDUCED to normal form. ------ 131257/13387341. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a))) a) REDUCED to normal form. ------ 131258/13387368. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 131259/13387395. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.a)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.a)) REDUCED to normal form. ------ 131260/13387422. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(c (^z.z))) 3. ==[ beta ]==> (((^y.y)(b a))(c (^z.z))) 4. ==[ alpha ]==> (((^x.x)(b a))(c (^y.y))) 5. ==[ beta ]==> ((b a)(c (^y.y))) 6. ==[ alpha ]==> ((b a)(c (^x.x))) REDUCED to normal form. ------ 131261/13387449. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 131262/13387476. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(a (^y.a))) 3. ==[ beta ]==> (((a b)(a a))(a (^y.a))) 4. ==[ alpha ]==> (((a b)(a a))(a (^x.a))) REDUCED to normal form. ------ 131263/13387503. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 131264/13387530. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a (^y.y))) REDUCED to normal form. ------ 131265/13387584. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 131266/13387611. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(b (^z.z))) 3. ==[ beta ]==> ((b ((^y.y) a))(b (^z.z))) 4. ==[ alpha ]==> ((b ((^x.x) a))(b (^y.y))) 5. ==[ beta ]==> ((b a)(b (^y.y))) 6. ==[ alpha ]==> ((b a)(b (^x.x))) REDUCED to normal form. ------ 131267/13387638. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 131268/13387692. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 131269/13388559. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 131270/13390017. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(a a)))(^z.(^x1.(a a))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(a a)))(^x1.(^y1.(a a))))) 5. ==[ beta ]==> (^x.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 131271/13396752. ------ 1. ==[ start ]==> (((a a) a)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a) a)(^x.((^y.(^z.z)) x))) 3. ==[ eta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 131272/13397130. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(b (^z.z)))) REDUCED to normal form. ------ 131273/13397523. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 131274/13397526. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 131275/13397913. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(b (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(b (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 7. ==[ beta ]==> (^y.(b (^z.z))) 8. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 131276/13398414. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 131277/13398594. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a (^y.y))(^z.z)) b) 4. ==[ alpha ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 131278/13398981. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.(a a)))((^z.z)(^x1.(a a))))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.(a a)))((^x1.x1)(^y1.(a a))))) 5. ==[ beta ]==> (^x.((^z.(a a))((^x1.x1)(^y1.(a a))))) 6. ==[ alpha ]==> (^x.((^y.(a a))((^z.z)(^x1.(a a))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 131279/13398984. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 131280/13400289. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 131281/13400619. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.(^z.z))) a)) 3. ==[ eta ]==> (b ((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 131282/13400901. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((b a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 131283/13401468. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(y1 a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 131284/13401747. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(b z))) 3. ==[ eta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 131285/13401990. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 131286/13402059. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131287/13402242. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 131288/13402719. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 131289/13403763. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 131290/13403772. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z b))) REDUCED to normal form. ------ 131291/13404453. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131292/13404843. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 131293/13405149. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.a))(^y.((^z.z) a))) 5. ==[ beta ]==> ((b (^x.a))(^y.a)) REDUCED to normal form. ------ 131294/13405239. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 131295/13405401. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^b.c)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.c)) 3. ==[ beta ]==> (((a b)(a a))(^y.c)) 4. ==[ alpha ]==> (((a b)(a a))(^x.c)) REDUCED to normal form. ------ 131296/13405563. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 131297/13405614. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a a) a)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a a) a)) 3. ==[ eta ]==> ((^y.(^z.z))((a a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131298/13405692. ------ 1. ==[ start ]==> (((^a.a) a)(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(b (b (^y.y)))) 3. ==[ beta ]==> (a (b (b (^y.y)))) 4. ==[ alpha ]==> (a (b (b (^x.x)))) REDUCED to normal form. ------ 131299/13405719. ------ 1. ==[ start ]==> (((a a) a)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a) a)(a ((^x.(^y.y)) a))) 3. ==[ beta ]==> (((a a) a)(a (^y.y))) 4. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 131300/13405746. ------ 1. ==[ start ]==> (((a a)(^a.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((b (^y.y))(a a))) REDUCED to normal form. ------ 131301/13405773. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> (b (((a a)(a a))(a (^y.y)))) 4. ==[ alpha ]==> (b (((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 131302/13405800. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 131303/13405827. ------ 1. ==[ start ]==> (((a a) b)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 131304/13405854. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)((b a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)((b a)(^y.y))) REDUCED to normal form. ------ 131305/13405881. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))((a a) a))) REDUCED to normal form. ------ 131306/13405908. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(a b))) REDUCED to normal form. ------ 131307/13405962. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 131308/13406043. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) b)(a ((^z.z) b))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a ((^y.y) b))) 5. ==[ beta ]==> (((a (^x.x)) b)(a b)) REDUCED to normal form. ------ 131309/13406070. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((a a)((a (^y.y))((a a)(a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 131310/13406097. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(b (^y.y)))) REDUCED to normal form. ------ 131311/13406187. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) b)(^z.a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b)(^y.a))) 5. ==[ beta ]==> (((a a) a)(b (^y.a))) 6. ==[ alpha ]==> (((a a) a)(b (^x.a))) REDUCED to normal form. ------ 131312/13406214. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) REDUCED to normal form. ------ 131313/13406241. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 131314/13406304. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 131315/13406385. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 131316/13406412. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 131317/13406466. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((a a)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((a a)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 131318/13406493. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 131319/13406511. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a (a a)))((b (^x.x)) a)) REDUCED to normal form. ------ 131320/13406538. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(a a)) b)) REDUCED to normal form. ------ 131321/13406565. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) b) c)) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) b) c)) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b) c)) 5. ==[ beta ]==> ((a (a (^x.x)))(b c)) REDUCED to normal form. ------ 131322/13406709. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 7. ==[ beta ]==> ((^y.b)(^z.(a a))) 8. ==[ alpha ]==> ((^x.b)(^y.(a a))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 131323/13406790. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 131324/13406826. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c ((^z.z) b))) 3. ==[ beta ]==> ((a (^y.a))(c ((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.a))(c ((^y.y) b))) 5. ==[ beta ]==> ((a (^x.a))(c b)) REDUCED to normal form. ------ 131325/13406853. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b ((a a)(a a)))) REDUCED to normal form. ------ 131326/13406880. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(a (b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (b (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (b (^z.z)))) 6. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 7. ==[ beta ]==> (a (b (^y.y))) 8. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 131327/13406943. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y) c)) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) c) REDUCED to normal form. ------ 131328/13407177. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (((^y.y) a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (b (((^x.x) a)(a (^y.(^z.z))))) 7. ==[ beta ]==> (b (a (a (^y.(^z.z))))) 8. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 131329/13407204. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> ((((a a) a) a)((a (^x.x)) b)) REDUCED to normal form. ------ 131330/13407222. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.(a a)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(a a)))) REDUCED to normal form. ------ 131331/13407303. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((a a)((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.x)(a (^y.y)))) 9. ==[ beta ]==> ((a a)(a (^y.y))) 10. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 131332/13407384. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 131333/13407429. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.b))) REDUCED to normal form. ------ 131334/13407456. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 131335/13407537. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 131336/13407564. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 131337/13407573. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 131338/13407654. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 131339/13407735. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131340/13407762. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 131341/13407789. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.b))) 5. ==[ beta ]==> ((^y.b)(^z.b)) 6. ==[ alpha ]==> ((^x.b)(^y.b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 131342/13407843. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 131343/13407924. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131344/13407933. ------ 1. ==[ start ]==> (((a b)(^a.a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.x))(b ((^y.y) b))) 3. ==[ beta ]==> (((a b)(^x.x))(b b)) REDUCED to normal form. ------ 131345/13407951. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 131346/13407969. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a)) a)) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 131347/13407996. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y) b)) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 131348/13408122. ------ 1. ==[ start ]==> (((^a.b) b)((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)((a b)((a a) a))) 3. ==[ beta ]==> (b ((a b)((a a) a))) REDUCED to normal form. ------ 131349/13408248. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)(c (^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)(c (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (c (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (c (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 131350/13408329. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (b ((^x1.x1)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 131351/13408410. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131352/13408464. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.b)((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b)((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)((a a) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((a a) a))) 9. ==[ beta ]==> ((^y.y)((^z.b)((a a) a))) 10. ==[ alpha ]==> ((^x.x)((^y.b)((a a) a))) 11. ==[ beta ]==> ((^y.b)((a a) a)) 12. ==[ alpha ]==> ((^x.b)((a a) a)) 13. ==[ beta ]==> b REDUCED to normal form. ------ 131353/13408545. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (b (((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 131354/13408617. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(^y.y))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 131355/13408644. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) b) a)) 3. ==[ beta ]==> (((a (^x.x))(a b))(b a)) REDUCED to normal form. ------ 131356/13408671. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 131357/13408698. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((b a) c)) 3. ==[ beta ]==> (((a (a a))(^y.y))((b a) c)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((b a) c)) REDUCED to normal form. ------ 131358/13408869. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131359/13409013. ------ 1. ==[ start ]==> (((a b) c)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((b a)(a (^x.x)))) REDUCED to normal form. ------ 131360/13409040. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a) b)(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a a) b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 131361/13409067. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(a (a a)))) REDUCED to normal form. ------ 131362/13409121. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 131363/13409148. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(a b))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(a b))) 7. ==[ beta ]==> ((a (^x.b))(a b)) REDUCED to normal form. ------ 131364/13409202. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131365/13409229. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(b a))) REDUCED to normal form. ------ 131366/13409247. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 131367/13409256. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 131368/13409346. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 131369/13409373. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.(z z)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 131370/13409400. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 131371/13409454. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.b))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 9. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 10. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 11. ==[ beta ]==> ((^y.y)(^z.b)) 12. ==[ alpha ]==> ((^x.x)(^y.b)) 13. ==[ beta ]==> (^y.b) 14. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 131372/13409481. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 131373/13409508. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a b) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 131374/13409562. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 131375/13409589. ------ 1. ==[ start ]==> ((a (b a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (b a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 131376/13409679. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (b ((^z.(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 131377/13409760. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131378/13409823. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c ((a a)(^y.y)))) REDUCED to normal form. ------ 131379/13409868. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 131380/13409931. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 131381/13409958. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.b))((a a) a)) REDUCED to normal form. ------ 131382/13410012. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 131383/13410039. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a b)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 131384/13410066. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (a a))(a b))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))(a b))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(a b))) REDUCED to normal form. ------ 131385/13410093. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^x1.x1)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 131386/13410183. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 131387/13410210. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 131388/13410237. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a))(a b))((a a)(^y.a))) 4. ==[ alpha ]==> (((a (a a))(a b))((a a)(^x.a))) REDUCED to normal form. ------ 131389/13410264. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a b)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)((a b)(^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 131390/13410291. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 131391/13410318. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a b)(a (a a)))(^y.a)) 6. ==[ alpha ]==> (((a b)(a (a a)))(^x.a)) REDUCED to normal form. ------ 131392/13410345. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (a a))(^z.b))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(^y.b))) 5. ==[ beta ]==> (((a a) a)((a (a a))(^y.b))) 6. ==[ alpha ]==> (((a a) a)((a (a a))(^x.b))) REDUCED to normal form. ------ 131393/13410372. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 131394/13410435. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(b a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(b a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(b a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 131395/13410516. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((a a)((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 131396/13410597. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131397/13410714. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a (b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (b a))) REDUCED to normal form. ------ 131398/13410741. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a)(^x1.x1))(a a))) REDUCED to normal form. ------ 131399/13410822. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 131400/13410849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 131401/13410903. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 131402/13410930. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 131403/13410957. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 131404/13411029. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 131405/13411047. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a b)(^z.a))) REDUCED to normal form. ------ 131406/13411074. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 131407/13411101. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 131408/13411155. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(^z.b))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.b))) 7. ==[ beta ]==> ((a b)(a (^y.b))) 8. ==[ alpha ]==> ((a b)(a (^x.b))) REDUCED to normal form. ------ 131409/13411182. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 131410/13411209. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 131411/13411236. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((a a)(^y.y)) a)) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a)(^y.y)) a)) 4. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 131412/13411263. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a) b)) REDUCED to normal form. ------ 131413/13411353. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131414/13411632. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a ((a a) a))) REDUCED to normal form. ------ 131415/13411659. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (^y.y))(a b))) 3. ==[ beta ]==> ((b a)((a (^y.y))(a b))) 4. ==[ alpha ]==> ((b a)((a (^x.x))(a b))) REDUCED to normal form. ------ 131416/13411677. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.(a a)))) 5. ==[ beta ]==> (b (b (^y.(a a)))) 6. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 131417/13411686. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 131418/13411758. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 131419/13411839. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131420/13411947. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(a a))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131421/13412154. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(a b))(a a)) REDUCED to normal form. ------ 131422/13412181. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.b) b)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.b) b)) 3. ==[ beta ]==> (((a b)((a a) a)) b) REDUCED to normal form. ------ 131423/13412379. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 5. ==[ beta ]==> ((^y.b)(a a)) 6. ==[ alpha ]==> ((^x.b)(a a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 131424/13412514. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131425/13412622. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131426/13412730. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.b))) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 131427/13412739. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a b))) REDUCED to normal form. ------ 131428/13412766. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((a a) a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((a a) a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a)(a a))) REDUCED to normal form. ------ 131429/13412847. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (a (a a)))) REDUCED to normal form. ------ 131430/13412865. ------ 1. ==[ start ]==> (((^a.b)(a b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(c (^y.(^z.z)))) 3. ==[ beta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 131431/13412874. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 131432/13412973. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131433/13413099. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((a a) a) a)) 3. ==[ beta ]==> (((a (^x.x)) b)(((a a) a) a)) REDUCED to normal form. ------ 131434/13413126. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1) b)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z) b)) 7. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 131435/13413153. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (a a)) c)) REDUCED to normal form. ------ 131436/13413288. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 131437/13413423. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (b (^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 131438/13413513. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131439/13413594. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131440/13413738. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((b c)(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> ((b c)(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> ((b c)(a (a (^y.y)))) 6. ==[ alpha ]==> ((b c)(a (a (^x.x)))) REDUCED to normal form. ------ 131441/13413765. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a)) b)((a (^x.x)) a)) REDUCED to normal form. ------ 131442/13413810. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 131443/13413837. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 5. ==[ beta ]==> ((^y.(y y))(a a)) 6. ==[ alpha ]==> ((^x.(x x))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 131444/13413873. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(c c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(c c)) 3. ==[ beta ]==> ((a (^y.y))(c c)) 4. ==[ alpha ]==> ((a (^x.x))(c c)) REDUCED to normal form. ------ 131445/13413891. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 131446/13413972. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 131447/13413981. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(c (a (^y.y)))) REDUCED to normal form. ------ 131448/13414008. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(b ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.b))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.b))(b ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.b))(b a)) REDUCED to normal form. ------ 131449/13414089. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 131450/13414116. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a a)((^z.z) a))) 3. ==[ beta ]==> ((b (^y.a))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((b (^x.a))((a a)((^y.y) a))) 5. ==[ beta ]==> ((b (^x.a))((a a) a)) REDUCED to normal form. ------ 131451/13414206. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 131452/13414233. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(((^y.y) a) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a a)) REDUCED to normal form. ------ 131453/13414260. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (^z.z)) b)) 3. ==[ beta ]==> ((a ((^y.y) b))((a (^z.z)) b)) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y)) b)) 5. ==[ beta ]==> ((a b)((a (^y.y)) b)) 6. ==[ alpha ]==> ((a b)((a (^x.x)) b)) REDUCED to normal form. ------ 131454/13414314. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.a) a)) 3. ==[ beta ]==> (((^y.y)(b a))((^z.a) a)) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.a) a)) 5. ==[ beta ]==> ((b a)((^y.a) a)) 6. ==[ alpha ]==> ((b a)((^x.a) a)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 131455/13414341. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 131456/13414368. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.a) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.y) c)) 3. ==[ beta ]==> (((a b)(a a))((^y.y) c)) 4. ==[ alpha ]==> (((a b)(a a))((^x.x) c)) 5. ==[ beta ]==> (((a b)(a a)) c) REDUCED to normal form. ------ 131457/13414395. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(a b))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 131458/13414422. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 131459/13414476. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a a) b)) REDUCED to normal form. ------ 131460/13414503. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((b a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((b a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 131461/13414530. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y) b)) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x))) b) REDUCED to normal form. ------ 131462/13414584. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a a) a)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a a) a)) 3. ==[ beta ]==> ((a (^y.y))((a a) a)) 4. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 131463/13414695. ------ 1. ==[ start ]==> ((^a.b)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> ((^x.b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 131464/13415460. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 131465/13423551. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^a.b)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.b)) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131466/13423641. ------ 1. ==[ start ]==> ((^a.(a a))(b (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(b (b (^y.y)))) 3. ==[ beta ]==> ((b (b (^y.y)))(b (b (^y.y)))) 4. ==[ alpha ]==> ((b (b (^x.x)))(b (b (^y.y)))) REDUCED to normal form. ------ 131467/13423668. ------ 1. ==[ start ]==> ((^a.b)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.b)(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 131468/13423671. ------ 1. ==[ start ]==> ((a b)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a b)(^x.((^y.(^z.z)) x))) 3. ==[ eta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 131469/13423749. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> ((((^z.z) b)((^x1.x1) a))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.z)) 5. ==[ beta ]==> ((b ((^y.y) a))(^z.z)) 6. ==[ alpha ]==> ((b ((^x.x) a))(^y.y)) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 131470/13423938. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))(b a))) 3. ==[ eta ]==> ((^y.y)(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 131471/13424109. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 131472/13424436. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 131473/13424991. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((((^y.y)(a a))((a a) a))(((^y.y)(a a))((a a) a)))(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> (((((^x.x)(a a))((a a) a))(((^y.y)(a a))((a a) a)))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> ((((a a)((a a) a))(((^y.y)(a a))((a a) a)))(((^z.z)(a a))((a a) a))) 6. ==[ alpha ]==> ((((a a)((a a) a))(((^x.x)(a a))((a a) a)))(((^y.y)(a a))((a a) a))) 7. ==[ beta ]==> ((((a a)((a a) a))((a a)((a a) a)))(((^y.y)(a a))((a a) a))) 8. ==[ alpha ]==> ((((a a)((a a) a))((a a)((a a) a)))(((^x.x)(a a))((a a) a))) 9. ==[ beta ]==> ((((a a)((a a) a))((a a)((a a) a)))((a a)((a a) a))) REDUCED to normal form. ------ 131474/13425324. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 131475/13425912. ------ 1. ==[ start ]==> (((a a)(a b))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((x x)(x x)))) REDUCED to normal form. ------ 131476/13426098. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a)(a b))) 3. ==[ beta ]==> ((^y.y)((((a a) a)(a b))(((a a) a)(a b)))) 4. ==[ alpha ]==> ((^x.x)((((a a) a)(a b))(((a a) a)(a b)))) 5. ==[ beta ]==> ((((a a) a)(a b))(((a a) a)(a b))) REDUCED to normal form. ------ 131477/13427226. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 131478/13428099. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(b a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(b a))) REDUCED to normal form. ------ 131479/13428969. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131480/13430097. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^x.(x x))) REDUCED to normal form. ------ 131481/13430283. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a)(a b))) 3. ==[ beta ]==> ((((a a)(a b))((a a)(a b)))(((a a)(a b))((a a)(a b)))) REDUCED to normal form. ------ 131482/13430682. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.z))) REDUCED to normal form. ------ 131483/13430871. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.b))) REDUCED to normal form. ------ 131484/13431204. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.((y y) y))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.((y y) y))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.((x x) x))) REDUCED to normal form. ------ 131485/13432086. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 131486/13432257. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(b a))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.z)) 5. ==[ beta ]==> (((^y.y)(b a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(b a))(^y.y)) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 131487/13432311. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 131488/13432446. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(y (^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(y (^z.z)))) 6. ==[ alpha ]==> ((b a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 131489/13432524. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(a b)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(a b)) 3. ==[ eta ]==> ((^y.(^z.z))(a b)) 4. ==[ alpha ]==> ((^x.(^y.y))(a b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131490/13432527. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^a.b)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.b)) 3. ==[ beta ]==> ((a (^y.y))(^z.b)) 4. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 131491/13432620. ------ 1. ==[ start ]==> ((a (a a))(b (b (^a.a)))) 2. ==[ alpha ]==> ((a (a a))(b (b (^x.x)))) REDUCED to normal form. ------ 131492/13432647. ------ 1. ==[ start ]==> ((a b)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a b)(a ((^x.(^y.y)) a))) 3. ==[ beta ]==> ((a b)(a (^y.y))) 4. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 131493/13432701. ------ 1. ==[ start ]==> (((a a)(a a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 131494/13432728. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.x)))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b ((^y.y) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(b a)) REDUCED to normal form. ------ 131495/13432863. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a b)(a a))) REDUCED to normal form. ------ 131496/13432890. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 131497/13432917. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(b a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(b a))) 5. ==[ beta ]==> ((a a)((^y.y)(b a))) 6. ==[ alpha ]==> ((a a)((^x.x)(b a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 131498/13433088. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 131499/13433223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 131500/13433259. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 131501/13433313. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 131502/13433331. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (a a))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 131503/13433340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a (^x1.(^y1.y1)))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.(^x1.x1)))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 131504/13433367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)((^y1.y1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1) b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 131505/13433394. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 131506/13433502. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)(^z.a))) 3. ==[ beta ]==> ((b b)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((b b)((^x.x)(^y.a))) 5. ==[ beta ]==> ((b b)(^y.a)) 6. ==[ alpha ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 131507/13433637. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 131508/13433718. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.(^y1.(^z1.z1)))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 131509/13433745. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 131510/13433835. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(a a))(a a))) REDUCED to normal form. ------ 131511/13433862. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (a (^y.y)))) REDUCED to normal form. ------ 131512/13433889. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))((^z.z) a))) 7. ==[ beta ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 131513/13433916. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((b a)(a (a a)))) REDUCED to normal form. ------ 131514/13433943. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(((a a)(^x.x))(^z.z))) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 131515/13433970. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 131516/13434222. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(((^y.y) b)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 10. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 131517/13434231. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.y))) REDUCED to normal form. ------ 131518/13434258. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131519/13434303. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 131520/13434474. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 131521/13434492. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 131522/13434573. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) b) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) b) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) b) b)) IRREDUCIBLE: cycle. ------ 131523/13434663. ------ 1. ==[ start ]==> (((a b) a)((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 131524/13434690. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 131525/13434744. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 131526/13434771. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 131527/13434825. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 131528/13434852. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 131529/13434888. ------ 1. ==[ start ]==> (((a a)(a b))(a ((a a)(a a)))) REDUCED to normal form. ------ 131530/13434915. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(b (a a))) REDUCED to normal form. ------ 131531/13434942. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 131532/13434969. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((b a)((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((b a) a)) REDUCED to normal form. ------ 131533/13434996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(a (a a)))) 6. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(a (a a)))) 7. ==[ beta ]==> (a (((a a)(^y.y))(a (a a)))) 8. ==[ alpha ]==> (a (((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 131534/13435023. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 131535/13435050. ------ 1. ==[ start ]==> (((a b)(a a))((a b)((a a) a))) REDUCED to normal form. ------ 131536/13435077. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)(a b))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(a b))) REDUCED to normal form. ------ 131537/13435248. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> (b (((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.y))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 131538/13435257. ------ 1. ==[ start ]==> (((a b) b)((^b.b)(a a))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(a a))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 131539/13435284. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 131540/13435302. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((b a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a a))((b a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((b a)(^y.a))) 5. ==[ beta ]==> ((a a)((b a)(^y.a))) 6. ==[ alpha ]==> ((a a)((b a)(^x.a))) REDUCED to normal form. ------ 131541/13435329. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 131542/13435338. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 131543/13435383. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(^y1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.a))) 9. ==[ beta ]==> ((^y.y)((a b)(^z.a))) 10. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 11. ==[ beta ]==> ((a b)(^y.a)) 12. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 131544/13435392. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 131545/13435446. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 131546/13435464. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 131547/13435473. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 131548/13435500. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)(b a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(b a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 131549/13435689. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 131550/13435923. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 131551/13436175. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 131552/13436202. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 131553/13436229. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 131554/13436742. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 131555/13436814. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 131556/13436868. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 131557/13437075. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(b a))) REDUCED to normal form. ------ 131558/13437336. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131559/13437435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(a a)) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(a a)) c)) 5. ==[ beta ]==> ((a a)(((^z.z)(a a)) c)) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a)) c)) 7. ==[ beta ]==> ((a a)((a a) c)) REDUCED to normal form. ------ 131560/13437678. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131561/13437876. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 131562/13437921. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131563/13437948. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 131564/13438227. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131565/13438434. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a)) b)) 3. ==[ beta ]==> (b ((^z.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 131566/13438578. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) a)(c (^y.b))) 3. ==[ beta ]==> ((b a)(c (^y.b))) 4. ==[ alpha ]==> ((b a)(c (^x.b))) REDUCED to normal form. ------ 131567/13438605. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 131568/13438677. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 131569/13438713. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)((^z.z) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 131570/13438740. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 131571/13438758. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 131572/13438767. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a b)(^x.a))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 10. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 131573/13438794. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 131574/13438821. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 131575/13438866. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1)(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131576/13438875. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(a a))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 131577/13438902. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 131578/13439046. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(b (a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b (a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (a b))) 5. ==[ beta ]==> (((^y.y)(a a))(b (a b))) 6. ==[ alpha ]==> (((^x.x)(a a))(b (a b))) 7. ==[ beta ]==> ((a a)(b (a b))) REDUCED to normal form. ------ 131579/13439073. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(a ((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a b))(a (a a))) REDUCED to normal form. ------ 131580/13439100. ------ 1. ==[ start ]==> (((a b)((a a) a))((a b)(a a))) REDUCED to normal form. ------ 131581/13439127. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 131582/13439154. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.z) a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y) a)) 7. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 131583/13439208. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 131584/13439235. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((b (a a))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((b (a a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 131585/13439262. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a a)(a b))) REDUCED to normal form. ------ 131586/13439298. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 131587/13439433. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 131588/13439541. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1)(^z1.z1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131589/13439577. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((b b)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((b b)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((b b)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 131590/13439604. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 131591/13439658. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 131592/13439703. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a) b)) 3. ==[ beta ]==> (((b a)(b a))((^y.a) b)) 4. ==[ alpha ]==> (((b a)(b a))((^x.a) b)) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 131593/13439793. ------ 1. ==[ start ]==> (((a b)(^a.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 131594/13439847. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.b))) REDUCED to normal form. ------ 131595/13439892. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131596/13439901. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 131597/13439928. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(((^x1.x1) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> ((b (^x.(^y.y)))(a ((^x1.x1) a))) 8. ==[ alpha ]==> ((b (^x.(^y.y)))(a ((^z.z) a))) 9. ==[ beta ]==> ((b (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 131598/13439955. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 131599/13440153. ------ 1. ==[ start ]==> (((a b)(a b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)(a b))(b (^y.y))) 4. ==[ alpha ]==> (((a b)(a b))(b (^x.x))) REDUCED to normal form. ------ 131600/13440180. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(a ((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 131601/13440207. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 131602/13440261. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a ((^z.z) a))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 131603/13440288. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 131604/13440315. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((a a)(^x.x))) REDUCED to normal form. ------ 131605/13440432. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (^x2.x2))(^y2.(y2 y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x2.x2))(^y2.(y2 y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131606/13440513. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 131607/13440621. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131608/13440657. ------ 1. ==[ start ]==> ((((^a.a) b) c)(d (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(d (^y.(^z.z)))) 3. ==[ beta ]==> ((b c)(d (^y.(^z.z)))) 4. ==[ alpha ]==> ((b c)(d (^x.(^y.y)))) REDUCED to normal form. ------ 131609/13440684. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(c (^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(c (^x.a))) REDUCED to normal form. ------ 131610/13440756. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 131611/13440792. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 131612/13440810. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.y1))(^z1.a))) REDUCED to normal form. ------ 131613/13440819. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 131614/13440891. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z) a) b)) 3. ==[ beta ]==> (b (((^z.z) a) b)) 4. ==[ alpha ]==> (b (((^x.x) a) b)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 131615/13440900. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 131616/13440927. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 131617/13440999. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131618/13441035. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(b (^z.a))) 3. ==[ beta ]==> ((b (^y.a))(b (^z.a))) 4. ==[ alpha ]==> ((b (^x.a))(b (^y.a))) REDUCED to normal form. ------ 131619/13441062. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 131620/13441125. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(b c)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(b c)) REDUCED to normal form. ------ 131621/13441179. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(c (a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(c (a a))) 3. ==[ beta ]==> ((a ((^y.y) b))(c (a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(c (a a))) 5. ==[ beta ]==> ((a b)(c (a a))) REDUCED to normal form. ------ 131622/13441206. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(b (a (^z.z)))) REDUCED to normal form. ------ 131623/13441233. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(b a))(a ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(b a))(a ((^y.y) a))) 5. ==[ beta ]==> ((b a)(a ((^y.y) a))) 6. ==[ alpha ]==> ((b a)(a ((^x.x) a))) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 131624/13441260. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 131625/13441287. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a a)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a a))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 131626/13441314. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(c a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(c a)) 3. ==[ beta ]==> (((a a)(a b))(c a)) REDUCED to normal form. ------ 131627/13441341. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(b b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(b b)) REDUCED to normal form. ------ 131628/13441395. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(b (a a))) REDUCED to normal form. ------ 131629/13441422. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(a (a (^z.z)))) 3. ==[ beta ]==> ((b ((^y.y) a))(a (a (^z.z)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(a (a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (a (^y.y)))) 6. ==[ alpha ]==> ((b a)(a (a (^x.x)))) REDUCED to normal form. ------ 131630/13441449. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 131631/13441503. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(a b)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(a b)) 3. ==[ beta ]==> ((a (^y.y))(a b)) 4. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 131632/13441565. ------ 1. ==[ start ]==> (^a.((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (^x.((^y.x)(^z.(x x)))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 131633/13441566. ------ 1. ==[ start ]==> (a ((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 131634/13445484. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(a (^z.(^x1.x1))))) 3. ==[ eta ]==> (b (^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 131635/13449318. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131636/13450479. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^b.(a a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(a a))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131637/13450551. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.a)(^z.(a a))) 4. ==[ alpha ]==> ((^x.a)(^y.(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 131638/13450617. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((^x.x)(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 131639/13450641. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b (^x1.x1))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 131640/13450803. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (^y.(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> (^x.(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (^x.((a a)(a b))) REDUCED to normal form. ------ 131641/13451391. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(x (^y.y)))) REDUCED to normal form. ------ 131642/13451496. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131643/13452441. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.a)(a (^z.(^x1.x1)))) b) 4. ==[ alpha ]==> (((^x.a)(a (^y.(^z.z)))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 131644/13452828. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b ((^z.z) b))) 3. ==[ beta ]==> (^y.((b ((^z.z) b))(b ((^z.z) b)))) 4. ==[ alpha ]==> (^x.((b ((^y.y) b))(b ((^z.z) b)))) 5. ==[ beta ]==> (^x.((b b)(b ((^z.z) b)))) 6. ==[ alpha ]==> (^x.((b b)(b ((^y.y) b)))) 7. ==[ beta ]==> (^x.((b b)(b b))) REDUCED to normal form. ------ 131645/13452849. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(a a)))) REDUCED to normal form. ------ 131646/13453524. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 131647/13454466. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ eta ]==> (b ((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 131648/13454469. ------ 1. ==[ start ]==> ((a (b a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 131649/13454775. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 131650/13455015. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 131651/13455063. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 131652/13455303. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))((a a)(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 131653/13455612. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.x)(a (^y.(^z.z)))) b) 4. ==[ beta ]==> ((a (^y.(^z.z))) b) 5. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 131654/13456116. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 131655/13456221. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 131656/13457034. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.(a a)))) REDUCED to normal form. ------ 131657/13457220. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b (^y.b))) 3. ==[ beta ]==> (((b (^y.b))(b (^y.b)))((b (^y.b))(b (^y.b)))) 4. ==[ alpha ]==> (((b (^x.b))(b (^y.b)))((b (^z.b))(b (^x1.b)))) REDUCED to normal form. ------ 131658/13457979. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.((a a) a))) REDUCED to normal form. ------ 131659/13458141. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(^z.a))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.a))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 131660/13458300. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a (^c.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a (^z.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131661/13458303. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 131662/13458582. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131663/13458690. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 131664/13459113. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^y.a)) REDUCED to normal form. ------ 131665/13459194. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.a))) 5. ==[ beta ]==> ((b a)(^y.(^z.a))) 6. ==[ alpha ]==> ((b a)(^x.(^y.a))) REDUCED to normal form. ------ 131666/13459275. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.y))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.y))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.x))) REDUCED to normal form. ------ 131667/13459383. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 131668/13459461. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.x1)(a a))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131669/13459464. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^b.(a a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(a a))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 131670/13459539. ------ 1. ==[ start ]==> ((a a)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 131671/13459575. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (b (^z.z)))) 3. ==[ beta ]==> ((^y.y)(b (b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b (b (^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 131672/13459602. ------ 1. ==[ start ]==> (((^a.a)(a a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a a)(a ((^y.(^z.z)) a))) 4. ==[ alpha ]==> ((a a)(a ((^x.(^y.y)) a))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 131673/13459629. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b (^z.z))(a a))) REDUCED to normal form. ------ 131674/13459683. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131675/13459710. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 131676/13459737. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((b a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 131677/13459764. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 131678/13459791. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> ((a (^x.a))((a a)(a b))) REDUCED to normal form. ------ 131679/13459872. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 131680/13459899. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 131681/13459953. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> (a ((a (^y.y))((a a)(a a)))) 6. ==[ alpha ]==> (a ((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 131682/13459980. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 131683/13460016. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 131684/13460079. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 131685/13460106. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 131686/13460124. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 131687/13460205. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a b)(^y.(a a)))) 3. ==[ beta ]==> ((a b)((a b)(^y.(a a)))) 4. ==[ alpha ]==> ((a b)((a b)(^x.(a a)))) REDUCED to normal form. ------ 131688/13460286. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (a a))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 131689/13460313. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 131690/13460376. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(b (^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (^y.y))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.x))) REDUCED to normal form. ------ 131691/13460448. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) b) c)) 3. ==[ beta ]==> ((b b)(((^y.y) b) c)) 4. ==[ alpha ]==> ((b b)(((^x.x) b) c)) 5. ==[ beta ]==> ((b b)(b c)) REDUCED to normal form. ------ 131692/13460457. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.a)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.a)) REDUCED to normal form. ------ 131693/13460484. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 131694/13460952. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(a b))) 3. ==[ beta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 131695/13461006. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (a ((^y.y)((a a)(^z.z)))) 8. ==[ alpha ]==> (a ((^x.x)((a a)(^y.y)))) 9. ==[ beta ]==> (a ((a a)(^y.y))) 10. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 131696/13461087. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> (((a a) a)((a (^x.x)) b)) REDUCED to normal form. ------ 131697/13461114. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 131698/13461150. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 131699/13461177. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 131700/13461204. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(^z1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(^y1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131701/13461231. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((b a)(^y.(y y)))) REDUCED to normal form. ------ 131702/13461294. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 131703/13461321. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b)(a b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.b)(a b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b)(a b))) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 131704/13461375. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 131705/13461402. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(b a))) 3. ==[ beta ]==> ((((a a) a)(a a))((b a)(b a))) REDUCED to normal form. ------ 131706/13461420. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 131707/13461429. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 131708/13461789. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (a (^y.(^z.z))))) 3. ==[ beta ]==> (b (c (a (^y.(^z.z))))) 4. ==[ alpha ]==> (b (c (a (^x.(^y.y))))) REDUCED to normal form. ------ 131709/13461816. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b ((^y.y) b))) 3. ==[ beta ]==> ((a (^x.(a a)))(b b)) REDUCED to normal form. ------ 131710/13461834. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(a a))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(a a))) REDUCED to normal form. ------ 131711/13462032. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(a b))) 3. ==[ beta ]==> ((^y.(a a))(((a a) a)(a b))) 4. ==[ alpha ]==> ((^x.(a a))(((a a) a)(a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 131712/13462059. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 9. ==[ beta ]==> ((^y.y)(a a)) 10. ==[ alpha ]==> ((^x.x)(a a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 131713/13462113. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(b a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(b a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(b a))) 7. ==[ beta ]==> (((^y.y) a)(b a)) 8. ==[ alpha ]==> (((^x.x) a)(b a)) 9. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 131714/13462203. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) b)(^y.y))) 3. ==[ beta ]==> (((a b) b)(b (^y.y))) 4. ==[ alpha ]==> (((a b) b)(b (^x.x))) REDUCED to normal form. ------ 131715/13462230. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 131716/13462257. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((b a)(^y.a))) REDUCED to normal form. ------ 131717/13462284. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 131718/13462338. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 131719/13462365. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a) a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(^z.b))) 5. ==[ beta ]==> ((^y.(y y))(((a a) a)(^z.b))) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.b))) 7. ==[ beta ]==> ((((a a) a)(^y.b))(((a a) a)(^y.b))) 8. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a) a)(^y.b))) REDUCED to normal form. ------ 131720/13462392. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(a a))) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 131721/13462419. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 131722/13462482. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 131723/13462509. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z) b)) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y) b)) 5. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 131724/13462536. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 131725/13462563. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 131726/13462644. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 131727/13462671. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.a))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 131728/13462869. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 131729/13462878. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (((a b) c)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 131730/13462950. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 131731/13462977. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 131732/13463031. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(a b))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(a b))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(a b)) REDUCED to normal form. ------ 131733/13463112. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z))(b a))) 3. ==[ beta ]==> (b ((a (^z.z))(b a))) 4. ==[ alpha ]==> (b ((a (^x.x))(b a))) REDUCED to normal form. ------ 131734/13463175. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 131735/13463265. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (a b))((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 131736/13463292. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 131737/13463346. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 131738/13463373. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a b) a)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (((a b) a)((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (((a b) a)((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (((a b) a)((a a)(a a))) REDUCED to normal form. ------ 131739/13463400. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 131740/13463427. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 131741/13463454. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (b a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 131742/13463733. ------ 1. ==[ start ]==> (((^a.a)(b a))(b (b a))) 2. ==[ alpha ]==> (((^x.x)(b a))(b (b a))) 3. ==[ beta ]==> ((b a)(b (b a))) REDUCED to normal form. ------ 131743/13463760. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 131744/13463814. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 131745/13463823. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 131746/13463895. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (b (((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (((a a) a)(^y.y))) 6. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 131747/13464003. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))((a a)(^y1.y1)))) REDUCED to normal form. ------ 131748/13464048. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 131749/13464102. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 131750/13464129. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 131751/13464156. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 131752/13464183. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 131753/13464210. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 131754/13464237. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a b)(a b))) REDUCED to normal form. ------ 131755/13464291. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 131756/13464570. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b ((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131757/13464597. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a (b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 131758/13464624. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 131759/13464678. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a b)((^z.z) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a b)((^z.z) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)((^y.y) a))) 7. ==[ beta ]==> (((a a)(a a))((a b)((^y.y) a))) 8. ==[ alpha ]==> (((a a)(a a))((a b)((^x.x) a))) 9. ==[ beta ]==> (((a a)(a a))((a b) a)) REDUCED to normal form. ------ 131760/13464759. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (a a))((a a) a))) 3. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 131761/13464876. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a)(^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 131762/13464912. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 131763/13464939. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 131764/13464993. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 131765/13465020. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((a b)((^y.(y y))((a a) a))) 6. ==[ alpha ]==> ((a b)((^x.(x x))((a a) a))) 7. ==[ beta ]==> ((a b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 131766/13465047. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 131767/13465074. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 131768/13465101. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a)(a (a a)))((a a)(^y.y))) 6. ==[ alpha ]==> (((a a)(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 131769/13465173. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131770/13465182. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 131771/13465209. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 131772/13465380. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (b (((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 131773/13465488. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (a a))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131774/13465542. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (^z.z))(a b))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(a b))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(a b))) 5. ==[ beta ]==> (b ((a (^y.y))(a b))) 6. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 131775/13465569. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 131776/13465659. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(((a a) a)(^z.a))) 6. ==[ alpha ]==> ((^x.(a a))(((a a) a)(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 131777/13465686. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(^z.(z z))) 6. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(y y))) REDUCED to normal form. ------ 131778/13465713. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 131779/13465740. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 131780/13465767. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 131781/13465821. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1)(a a)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a) a)) REDUCED to normal form. ------ 131782/13465848. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a b) b)) 3. ==[ beta ]==> ((b (^y.y))((a b) b)) 4. ==[ alpha ]==> ((b (^x.x))((a b) b)) REDUCED to normal form. ------ 131783/13465884. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 131784/13465911. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 131785/13465938. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (b a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (b a))(^y.y)) 8. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 131786/13465965. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) a) REDUCED to normal form. ------ 131787/13465992. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.b))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.b))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 131788/13466019. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.(a a))) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.(a a))) REDUCED to normal form. ------ 131789/13466181. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c (^y.a))) 3. ==[ beta ]==> ((b (a a))(c (^y.a))) 4. ==[ alpha ]==> ((b (a a))(c (^x.a))) REDUCED to normal form. ------ 131790/13466208. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(b (^x.b))) REDUCED to normal form. ------ 131791/13466595. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 131792/13466631. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.b) a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.b) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b) a)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 131793/13466649. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((a a) a)(a a))) 3. ==[ beta ]==> (((b a)(b a))(((a a) a)(a a))) REDUCED to normal form. ------ 131794/13466730. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (b (((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 131795/13466847. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.y1))) REDUCED to normal form. ------ 131796/13466874. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 131797/13466901. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a (^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 131798/13466937. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 131799/13466964. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)((a a) a))) 5. ==[ beta ]==> (((a (^x.x)) b)((a a) a)) REDUCED to normal form. ------ 131800/13467018. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 131801/13467045. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.a))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.a)(^z.a))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 9. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 131802/13467072. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 131803/13467099. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 131804/13467234. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(c (^z.(z z)))) 3. ==[ beta ]==> ((b (a (^y.y)))(c (^z.(z z)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(c (^y.(y y)))) REDUCED to normal form. ------ 131805/13467261. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 131806/13467288. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a (^c.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 131807/13467567. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131808/13467603. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(y y)) b)) 3. ==[ beta ]==> ((b c)((^y.(y y)) b)) 4. ==[ alpha ]==> ((b c)((^x.(x x)) b)) 5. ==[ beta ]==> ((b c)(b b)) REDUCED to normal form. ------ 131809/13467630. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a) c)) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 131810/13467675. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a a)(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))((a a)(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 131811/13467738. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 131812/13467765. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 131813/13467846. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a b)) REDUCED to normal form. ------ 131814/13467873. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (^z.z)) c)) 3. ==[ beta ]==> (((a a)(^y.b))((a (^z.z)) c)) 4. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y)) c)) REDUCED to normal form. ------ 131815/13467945. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131816/13467954. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 131817/13467981. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 131818/13468071. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 131819/13468098. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))((a a)(a a))) a) REDUCED to normal form. ------ 131820/13468125. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a b)((^y.a)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.a)(^y.y))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 131821/13468152. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 131822/13468179. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.a))) 7. ==[ beta ]==> ((b a)(^y.a)) 8. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 131823/13468233. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 131824/13468260. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(a (^y.a))) 3. ==[ beta ]==> (((a a)(a b))(a (^y.a))) 4. ==[ alpha ]==> (((a a)(a b))(a (^x.a))) REDUCED to normal form. ------ 131825/13468287. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 131826/13468341. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 131827/13468368. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(^y.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 131828/13468395. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 131829/13468449. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.a)(a a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.z)(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 131830/13472439. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ eta ]==> (b (^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 131831/13477524. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131832/13477590. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 131833/13478109. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(^y.(^z.z)))(((b a)(^y.(^z.z)))((b a)(^y.(^z.z))))) 4. ==[ alpha ]==> (((b a)(^x.(^y.y)))(((b a)(^z.(^x1.x1)))((b a)(^y1.(^z1.z1))))) REDUCED to normal form. ------ 131834/13478334. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 131835/13479102. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((a a)(a a)))) REDUCED to normal form. ------ 131836/13479405. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.(^y1.y1)))) b) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1)))) b) 5. ==[ beta ]==> ((a (^y.(^z.(^x1.x1)))) b) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 131837/13479792. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.y1))((^z.(^x1.x1))(^y1.y1)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2)))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(^x2.x2)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.y1)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.y1))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.x1))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 131838/13480173. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 131839/13480488. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 131840/13481430. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ eta ]==> (b ((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 131841/13481433. ------ 1. ==[ start ]==> ((a (b a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 131842/13481739. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 131843/13482585. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(b x1))) 3. ==[ eta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 131844/13482870. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131845/13483791. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131846/13484223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 131847/13484610. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(y1 b))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(y1 b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 b))) REDUCED to normal form. ------ 131848/13484772. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((a a) a))) REDUCED to normal form. ------ 131849/13484943. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.a))) REDUCED to normal form. ------ 131850/13485546. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131851/13485681. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 131852/13486158. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^c.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.z)) 3. ==[ beta ]==> (((^y.y)(b a))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.y)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 131853/13486239. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.c)) 3. ==[ beta ]==> (((a a)(a b))(^y.c)) 4. ==[ alpha ]==> (((a a)(a b))(^x.c)) REDUCED to normal form. ------ 131854/13486347. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^c.b)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.b)) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.b)) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.b)) 5. ==[ beta ]==> ((b a)(^y.b)) 6. ==[ alpha ]==> ((b a)(^x.b)) REDUCED to normal form. ------ 131855/13486425. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a a)(^x1.x1))) 3. ==[ eta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131856/13486521. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 131857/13486557. ------ 1. ==[ start ]==> (((a a) a)(b (b (^a.a)))) 2. ==[ alpha ]==> (((a a) a)(b (b (^x.x)))) REDUCED to normal form. ------ 131858/13486584. ------ 1. ==[ start ]==> (((a a)(^a.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 131859/13486611. ------ 1. ==[ start ]==> (((^a.a) b)((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x) b)((b (^y.y))(a a))) 3. ==[ beta ]==> (b ((b (^y.y))(a a))) 4. ==[ alpha ]==> (b ((b (^x.x))(a a))) REDUCED to normal form. ------ 131860/13486638. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 131861/13486665. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) b)((^y.y) a))) 3. ==[ beta ]==> (((a a) b)(b ((^y.y) a))) 4. ==[ alpha ]==> (((a a) b)(b ((^x.x) a))) 5. ==[ beta ]==> (((a a) b)(b a)) REDUCED to normal form. ------ 131862/13486692. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 131863/13486719. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 131864/13486746. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))((a a) a))) REDUCED to normal form. ------ 131865/13486800. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 131866/13486881. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 131867/13486908. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) b))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) b))) 5. ==[ beta ]==> ((a a)(a ((^y.y) b))) 6. ==[ alpha ]==> ((a a)(a ((^x.x) b))) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 131868/13486935. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 131869/13486962. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(b (^x1.x1)))) REDUCED to normal form. ------ 131870/13487025. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)(((a a)(a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 131871/13487052. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.a))) REDUCED to normal form. ------ 131872/13487079. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 131873/13487106. ------ 1. ==[ start ]==> ((a (a (a a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 131874/13487142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131875/13487196. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 131876/13487250. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131877/13487304. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z) b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y) b))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 131878/13487331. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 131879/13487376. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b (^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((b (^z.z)) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((b (^y.y)) a)) REDUCED to normal form. ------ 131880/13487403. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a)(a a)) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(a a)) b)) REDUCED to normal form. ------ 131881/13487430. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) b) c)) 3. ==[ beta ]==> (((a (a a))(a a))(b c)) REDUCED to normal form. ------ 131882/13487466. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131883/13487547. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.b))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 7. ==[ beta ]==> ((^y.(a a))(^z.b)) 8. ==[ alpha ]==> ((^x.(a a))(^y.b)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 131884/13487682. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 131885/13487718. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)(b ((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)(b ((a a)(a a)))) 7. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 131886/13487808. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z) c)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z) c)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y) c)) 5. ==[ beta ]==> ((a a)((^y.y) c)) 6. ==[ alpha ]==> ((a a)((^x.x) c)) 7. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 131887/13488015. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (a a))(b a))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))(b a))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))(b a))) 5. ==[ beta ]==> (b ((a (a a))(b a))) REDUCED to normal form. ------ 131888/13488042. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((((a a) a) a)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a) a) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 131889/13488087. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(b (^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 131890/13488096. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 131891/13488240. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 131892/13488294. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a b)(^y.b))) 3. ==[ beta ]==> ((a (a (a a)))((a b)(^y.b))) 4. ==[ alpha ]==> ((a (a (a a)))((a b)(^x.b))) REDUCED to normal form. ------ 131893/13488321. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 131894/13488402. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a b))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a b))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 131895/13488411. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.b)((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 131896/13488600. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 131897/13488627. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 131898/13488762. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 131899/13488771. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (a (^y.(^z.z))))) REDUCED to normal form. ------ 131900/13488789. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 131901/13488861. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 131902/13488960. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 131903/13489167. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (b (a (^x1.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 131904/13489221. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 131905/13489302. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(^x1.x1)))) 11. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 131906/13489383. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131907/13489455. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 131908/13489482. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.y))) REDUCED to normal form. ------ 131909/13489509. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) b) a)) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) b) a)) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) b) a)) 5. ==[ beta ]==> ((a ((a a) a))(b a)) REDUCED to normal form. ------ 131910/13489536. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 131911/13489563. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((b a) c)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((b a) c)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((b a) c)) 5. ==[ beta ]==> ((a (a a))((b a) c)) REDUCED to normal form. ------ 131912/13489707. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131913/13489851. ------ 1. ==[ start ]==> (((a b) c)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b) c)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 131914/13489878. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((b a)(a (^y.y)))) 3. ==[ beta ]==> (((a a) b)((b a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a) b)((b a)(a (^x.x)))) REDUCED to normal form. ------ 131915/13489905. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 131916/13489959. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b)(^z.z))) REDUCED to normal form. ------ 131917/13489986. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((a (^y.b))(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 131918/13490040. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131919/13490067. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 131920/13490085. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (^d.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 131921/13490094. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(b a))) REDUCED to normal form. ------ 131922/13490121. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 131923/13490184. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 131924/13490211. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 131925/13490238. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a b))((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a (a b))((a a)(^x.(x x)))) REDUCED to normal form. ------ 131926/13490265. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 131927/13490319. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(^y.b))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.b)) 6. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.b)) REDUCED to normal form. ------ 131928/13490346. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> (((a b) a)((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a b) a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 131929/13490427. ------ 1. ==[ start ]==> ((a (b a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 131930/13490517. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131931/13490598. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 131932/13490733. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 131933/13490769. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((b a)(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))((b a)(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((b a)(a a))) REDUCED to normal form. ------ 131934/13490796. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 131935/13490850. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 131936/13490877. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 131937/13490904. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((a a) a))) 7. ==[ beta ]==> (((a a)(^x.a))((a a) a)) REDUCED to normal form. ------ 131938/13490931. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(a b))) REDUCED to normal form. ------ 131939/13491048. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((b a)(^z.z))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((b a)(^z.z))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((b a)(^y.y))) 5. ==[ beta ]==> ((a (a a))((b a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((b a)(^x.x))) REDUCED to normal form. ------ 131940/13491075. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 131941/13491102. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.a))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.a))) REDUCED to normal form. ------ 131942/13491129. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 131943/13491156. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 131944/13491210. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a))(^z.b))) REDUCED to normal form. ------ 131945/13491273. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 131946/13491354. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 131947/13491435. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 131948/13491552. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b ((a a)(^z.z)))) REDUCED to normal form. ------ 131949/13491579. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a (b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (b a))) REDUCED to normal form. ------ 131950/13491660. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a b) a)) REDUCED to normal form. ------ 131951/13491687. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(((a a) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.b)(((a a) a)(a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 131952/13491741. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))((a a) a))) REDUCED to normal form. ------ 131953/13491768. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(a b))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (a b))) REDUCED to normal form. ------ 131954/13491795. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(a a))) REDUCED to normal form. ------ 131955/13491867. ------ 1. ==[ start ]==> ((a (^b.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 131956/13491885. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 131957/13491912. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a b)(^y.a))) REDUCED to normal form. ------ 131958/13491939. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 131959/13491966. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.z))) 8. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 131960/13491993. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.y)(a b))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (a a))(^y.a))) 5. ==[ beta ]==> ((a b)((a (a a))(^y.a))) 6. ==[ alpha ]==> ((a b)((a (a a))(^x.a))) REDUCED to normal form. ------ 131961/13492020. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(^y.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.b))) REDUCED to normal form. ------ 131962/13492047. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 131963/13492101. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 131964/13492155. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a b) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a b) c)) REDUCED to normal form. ------ 131965/13492191. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 131966/13492218. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.(^z2.z2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131967/13492470. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (a a))(^z.z))) REDUCED to normal form. ------ 131968/13492497. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((b a)(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)((a a) a))) 5. ==[ beta ]==> ((b a)(a ((a a) a))) REDUCED to normal form. ------ 131969/13492515. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c (^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c (^z.b))) 3. ==[ beta ]==> (((^y.y) b)(c (^z.b))) 4. ==[ alpha ]==> (((^x.x) b)(c (^y.b))) 5. ==[ beta ]==> (b (c (^y.b))) 6. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 131970/13492524. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 131971/13492542. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b (^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 131972/13492551. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(a a))) REDUCED to normal form. ------ 131973/13492596. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(a a))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(a a))(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 131974/13492677. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131975/13492785. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.y1)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131976/13492857. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((a a) a) c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((a a) a) c)) 3. ==[ beta ]==> (((a a) b)(((a a) a) c)) REDUCED to normal form. ------ 131977/13493019. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(a a)) a)) 3. ==[ beta ]==> (((a b)((a a) a))(a a)) REDUCED to normal form. ------ 131978/13493046. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.b) b)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b) b)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.b) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b) b)) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 131979/13493217. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 131980/13493352. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 131981/13493460. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131982/13493541. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 131983/13493568. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131984/13493577. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((a a) a))) REDUCED to normal form. ------ 131985/13493604. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a (a b))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (a b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (a b))) REDUCED to normal form. ------ 131986/13493685. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((a (a a)) a)) REDUCED to normal form. ------ 131987/13493712. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.b))(a (a (a a)))) REDUCED to normal form. ------ 131988/13493766. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)((a a) a))) REDUCED to normal form. ------ 131989/13493910. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 131990/13493937. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.a))) REDUCED to normal form. ------ 131991/13493964. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((a a) a) a)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((a a) a) a)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a) a)) REDUCED to normal form. ------ 131992/13493991. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> (((a (a a))(b a))((^y.y) b)) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.x) b)) 5. ==[ beta ]==> (((a (a a))(b a)) b) REDUCED to normal form. ------ 131993/13494351. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.a)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.a)((^y2.y2) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.a)((^y2.y2) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131994/13494432. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 131995/13494540. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 131996/13494576. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (a a))(a a))) 3. ==[ beta ]==> ((b c)((a (a a))(a a))) REDUCED to normal form. ------ 131997/13494603. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(a (a (^y.y)))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(a (a (^x.x)))) REDUCED to normal form. ------ 131998/13494648. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(b (^z.(z z)))) 3. ==[ beta ]==> ((b (^y.y))(b (^z.(z z)))) 4. ==[ alpha ]==> ((b (^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 131999/13494675. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 132000/13494729. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.a)(a (^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 132001/13494810. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 5. ==[ beta ]==> (b ((^y.y)(^y.y))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 132002/13494846. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(c (a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.b))(c (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.b))(c (a (^y.y)))) REDUCED to normal form. ------ 132003/13494927. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (a a))) REDUCED to normal form. ------ 132004/13494954. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 132005/13494981. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 132006/13495044. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 132007/13495071. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 132008/13495098. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(((^z.z) a) a)) 3. ==[ beta ]==> ((a ((^y.y) b))(((^z.z) a) a)) 4. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a) a)) 5. ==[ beta ]==> ((a b)(((^y.y) a) a)) 6. ==[ alpha ]==> ((a b)(((^x.x) a) a)) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 132009/13495125. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (^z.z)) b)) REDUCED to normal form. ------ 132010/13495152. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a a) c)) 3. ==[ beta ]==> (((^y.y)(b a))((a a) c)) 4. ==[ alpha ]==> (((^x.x)(b a))((a a) c)) 5. ==[ beta ]==> ((b a)((a a) c)) REDUCED to normal form. ------ 132011/13495179. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.a) a)) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x))) a) REDUCED to normal form. ------ 132012/13495206. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 132013/13495233. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.y) c)) 3. ==[ beta ]==> (((a a)(a b))((^y.y) c)) 4. ==[ alpha ]==> (((a a)(a b))((^x.x) c)) 5. ==[ beta ]==> (((a a)(a b)) c) REDUCED to normal form. ------ 132014/13495260. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 132015/13495314. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (^z.z)) a)) REDUCED to normal form. ------ 132016/13495341. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a a) b)) 3. ==[ beta ]==> ((b ((^y.y) a))((a a) b)) 4. ==[ alpha ]==> ((b ((^x.x) a))((a a) b)) 5. ==[ beta ]==> ((b a)((a a) b)) REDUCED to normal form. ------ 132017/13495368. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 132018/13495422. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a a)(^z.z))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 132019/13503255. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 132020/13504560. ------ 1. ==[ start ]==> ((^a.b)(b (b (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(b (b (^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 132021/13504641. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^z.z)))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 132022/13504830. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)((a a)(^z.z)))) 3. ==[ eta ]==> ((^y.y)(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 132023/13505001. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 132024/13505325. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132025/13505751. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(b (^z.z)))) REDUCED to normal form. ------ 132026/13505883. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((((a a)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y.y))((^z.z)(^x1.x1))))(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((((a a)(^x.x))((^y.y)(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1))))(((a a)(^x2.x2))((^y2.y2)(^z2.z2)))) 5. ==[ beta ]==> (((((a a)(^x.x))(^z.z))(((a a)(^x1.x1))((^y1.y1)(^z1.z1))))(((a a)(^x2.x2))((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> (((((a a)(^x.x))(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1))))(((a a)(^z1.z1))((^x2.x2)(^y2.y2)))) 7. ==[ beta ]==> (((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^y1.y1)))(((a a)(^z1.z1))((^x2.x2)(^y2.y2)))) 8. ==[ alpha ]==> (((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^x1.x1)))(((a a)(^y1.y1))((^z1.z1)(^x2.x2)))) 9. ==[ beta ]==> (((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^x1.x1)))(((a a)(^y1.y1))(^x2.x2))) 10. ==[ alpha ]==> (((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) REDUCED to normal form. ------ 132027/13506216. ------ 1. ==[ start ]==> ((^a.(^a.b))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((b a)(^z.(z z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 132028/13506831. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.((y y)(y y)))) REDUCED to normal form. ------ 132029/13506990. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a b)((a a) a))((a b)((a a) a)))) 4. ==[ alpha ]==> ((^x.x)(((a b)((a a) a))((a b)((a a) a)))) 5. ==[ beta ]==> (((a b)((a a) a))((a b)((a a) a))) REDUCED to normal form. ------ 132030/13507173. ------ 1. ==[ start ]==> (((a b) b)(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 132031/13508145. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 132032/13509861. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132033/13510791. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(a a))) REDUCED to normal form. ------ 132034/13511016. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> (((a b)((a a) a))(^x.(x x))) REDUCED to normal form. ------ 132035/13511175. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((((a (^y.y))((a a) a))((a (^y.y))((a a) a)))(((a (^y.y))((a a) a))((a (^y.y))((a a) a)))) 4. ==[ alpha ]==> ((((a (^x.x))((a a) a))((a (^y.y))((a a) a)))(((a (^z.z))((a a) a))((a (^x1.x1))((a a) a)))) REDUCED to normal form. ------ 132036/13511601. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(^z1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(^z1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.x1))) REDUCED to normal form. ------ 132037/13512123. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((z z) z))) REDUCED to normal form. ------ 132038/13512255. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 132039/13512258. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 132040/13513176. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 132041/13513230. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(a (^y.y)))) REDUCED to normal form. ------ 132042/13513365. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 132043/13513416. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(b a)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(b a)) 3. ==[ eta ]==> ((^y.(^z.z))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132044/13513530. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (a ((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 132045/13513566. ------ 1. ==[ start ]==> ((a b)(b (b (^a.a)))) 2. ==[ alpha ]==> ((a b)(b (b (^x.x)))) REDUCED to normal form. ------ 132046/13513620. ------ 1. ==[ start ]==> (((a a)(a a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a a))((b (^x.x))(a a))) REDUCED to normal form. ------ 132047/13513647. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 132048/13513782. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(a b))) REDUCED to normal form. ------ 132049/13513809. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a b)(a a))) REDUCED to normal form. ------ 132050/13513836. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a a)(((a a) a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((a a)(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 132051/13513935. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (^y.(a a)))) REDUCED to normal form. ------ 132052/13514007. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 132053/13514097. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 132054/13514115. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((b a)(^y.(^z.z)))) 5. ==[ beta ]==> (((b a)(^y.(^z.z)))((b a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((b a)(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 132055/13514142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 132056/13514178. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))(a b))) 3. ==[ beta ]==> ((a b)((^y.(a a))(a b))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(a b))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 132057/13514196. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a b)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.(a a)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 7. ==[ beta ]==> ((a b)(^y.(a a))) 8. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 132058/13514205. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 132059/13514259. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 132060/13514286. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (^x1.(^y1.y1)))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 132061/13514304. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 132062/13514313. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 132063/13514331. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 132064/13514421. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 132065/13514556. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))(^y.b))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 132066/13514583. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> (a ((^y.b)(^z.(a a)))) 6. ==[ alpha ]==> (a ((^x.b)(^y.(a a)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 132067/13514610. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 132068/13514664. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.a))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 132069/13514691. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 132070/13514754. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (b (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))(a (b (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (b (^y.y)))) REDUCED to normal form. ------ 132071/13514781. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 132072/13514808. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> ((a a)(((^y.y) b)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(b (a (^y.y)))) 8. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 132073/13514835. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 132074/13514862. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((b a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((b a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((b a)(a (a a)))) 5. ==[ beta ]==> ((a a)((b a)(a (a a)))) REDUCED to normal form. ------ 132075/13514889. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 132076/13515096. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(a a)))) REDUCED to normal form. ------ 132077/13515141. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(a a))(^z.z))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(a a))(^z.z))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a))(^y.y))) 7. ==[ beta ]==> ((a a)(((a a)(a a))(^y.y))) 8. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 132078/13515150. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 132079/13515177. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132080/13515204. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 132081/13515222. ------ 1. ==[ start ]==> ((a (^a.b))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((b a)(^y.(y y)))) REDUCED to normal form. ------ 132082/13515393. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y))(b a))) 3. ==[ beta ]==> (b ((^y.(y y))(b a))) 4. ==[ alpha ]==> (b ((^x.(x x))(b a))) 5. ==[ beta ]==> (b ((b a)(b a))) REDUCED to normal form. ------ 132083/13515411. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 132084/13515492. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(a a)) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(a a)) a)) IRREDUCIBLE: cycle. ------ 132085/13515555. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 132086/13515609. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 132087/13515663. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 132088/13515717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 132089/13515771. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 132090/13515807. ------ 1. ==[ start ]==> (((a a)(a b))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a b))(b ((^x.x) b))) 3. ==[ beta ]==> (((a a)(a b))(b b)) REDUCED to normal form. ------ 132091/13515834. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(a ((a a)(a a)))) REDUCED to normal form. ------ 132092/13515861. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) b)(a a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(a a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(a a))) 7. ==[ beta ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 132093/13515888. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 132094/13515915. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((b a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((b a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) a)((b a)((^z.z) a))) 6. ==[ alpha ]==> (((^x.x) a)((b a)((^y.y) a))) 7. ==[ beta ]==> (a ((b a)((^y.y) a))) 8. ==[ alpha ]==> (a ((b a)((^x.x) a))) 9. ==[ beta ]==> (a ((b a) a)) REDUCED to normal form. ------ 132095/13515942. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 132096/13515969. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b)(a a))((a a)(^y.y))) 6. ==[ alpha ]==> (((a b)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 132097/13515996. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)((a a) a))) 3. ==[ beta ]==> ((a (a a))((a b)((a a) a))) REDUCED to normal form. ------ 132098/13516176. ------ 1. ==[ start ]==> (((a b) b)(a (^c.(a a)))) 2. ==[ alpha ]==> (((a b) b)(a (^x.(a a)))) REDUCED to normal form. ------ 132099/13516203. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)(a a))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 132100/13516221. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 132101/13516230. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 132102/13516248. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((b a)(^z.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 132103/13516302. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 11. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 12. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 13. ==[ beta ]==> ((a a)(^y.(^z.z))) 14. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 132104/13516311. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 132105/13516338. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.b)((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.b)((a a) a))) 7. ==[ beta ]==> (((^y.b)((a a) a))((^y.b)((a a) a))) 8. ==[ alpha ]==> (((^x.b)((a a) a))((^y.b)((a a) a))) 9. ==[ beta ]==> (b ((^y.b)((a a) a))) 10. ==[ alpha ]==> (b ((^x.b)((a a) a))) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 132106/13516365. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 132107/13516383. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 132108/13516392. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 132109/13516419. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(((a a)(^z.z))((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 132110/13516608. ------ 1. ==[ start ]==> (((^a.b) c)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 132111/13516842. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z) a)) 3. ==[ beta ]==> (b ((^z.z) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 132112/13517094. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (^d.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.a))) REDUCED to normal form. ------ 132113/13517121. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 132114/13517148. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a (^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 132115/13517517. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a)(^z.z)) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a)(^z.z)) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a)(^z.z)) c)) 5. ==[ beta ]==> (b (((a a)(^z.z)) c)) 6. ==[ alpha ]==> (b (((a a)(^x.x)) c)) REDUCED to normal form. ------ 132116/13517661. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(a a)) REDUCED to normal form. ------ 132117/13517994. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 132118/13518021. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(b a))) REDUCED to normal form. ------ 132119/13518255. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132120/13518354. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a)(^z.z)) b)) 5. ==[ beta ]==> ((a a)(((a a)(^z.z)) b)) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 132121/13518651. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(a a)) c)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(a a)) c)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(a a)) c)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(a a)) c)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a)) c)) 7. ==[ beta ]==> (((a a)(a a))((^y.(a a)) c)) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) c)) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 132122/13518795. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (^z.(a a)))) REDUCED to normal form. ------ 132123/13518867. ------ 1. ==[ start ]==> ((a (^b.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 132124/13519146. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132125/13519353. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 132126/13519524. ------ 1. ==[ start ]==> (((a a)(^b.b))(c (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(c (^y.b))) REDUCED to normal form. ------ 132127/13519551. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (^y1.(a a)))) REDUCED to normal form. ------ 132128/13519596. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 132129/13519632. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.b)(a (^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 132130/13519659. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 132131/13519677. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 132132/13519686. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 132133/13519713. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 10. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 11. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 12. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 132134/13519740. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 132135/13519785. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132136/13519794. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 132137/13519821. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 132138/13519992. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b (a b))) REDUCED to normal form. ------ 132139/13520019. ------ 1. ==[ start ]==> (((a b)((a a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(a ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b)((a a) a))(a (a a))) REDUCED to normal form. ------ 132140/13520046. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a b)(a a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a b)(a a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((a b)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a b)(a a))) REDUCED to normal form. ------ 132141/13520073. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 132142/13520127. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 132143/13520154. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (a a))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((b (a a))(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((b (a a))(a (^y.y))) 8. ==[ alpha ]==> ((b (a a))(a (^x.x))) REDUCED to normal form. ------ 132144/13520181. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 132145/13520352. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 132146/13520460. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((a a) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132147/13520496. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 132148/13520523. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((((a a)(a a)) a)((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 132149/13520577. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 132150/13520604. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.y1)(^z1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.b))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.b)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.b)) REDUCED to normal form. ------ 132151/13520622. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.b) a)) 3. ==[ beta ]==> (((b a)(b a))((^y.b) a)) 4. ==[ alpha ]==> (((b a)(b a))((^x.b) a)) 5. ==[ beta ]==> (((b a)(b a)) b) REDUCED to normal form. ------ 132152/13520766. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.a))) REDUCED to normal form. ------ 132153/13520811. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((a a) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132154/13520820. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 132155/13520847. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 132156/13520874. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(a a))(^x.x))(a ((^z.z) a))) 6. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> ((((a a)(a a))(^x.x))(a a)) REDUCED to normal form. ------ 132157/13521072. ------ 1. ==[ start ]==> (((a b)(a b))(c (a (a a)))) REDUCED to normal form. ------ 132158/13521099. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)((a a) a))(b (^y.y))) 6. ==[ alpha ]==> (((a a)((a a) a))(b (^x.x))) REDUCED to normal form. ------ 132159/13521126. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(a ((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a ((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((a a) a))) REDUCED to normal form. ------ 132160/13521180. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 132161/13521207. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((b (a (^x.x)))(a ((^z.z) a))) 6. ==[ alpha ]==> ((b (a (^x.x)))(a ((^y.y) a))) 7. ==[ beta ]==> ((b (a (^x.x)))(a a)) REDUCED to normal form. ------ 132162/13521234. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 132163/13521261. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b (^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (b (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 132164/13521351. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2) a)(^y2.a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2) a)(^y2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132165/13521432. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 132166/13521711. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 132167/13521729. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 132168/13521738. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 132169/13521810. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 132170/13521819. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a b)(^x.(a a)))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 132171/13521846. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 132172/13521918. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132173/13521954. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 132174/13521981. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 132175/13522044. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(c b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(c b)) REDUCED to normal form. ------ 132176/13522071. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(b c)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(b c)) REDUCED to normal form. ------ 132177/13522152. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(b a))(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(b a))(b (a (^y.y)))) 5. ==[ beta ]==> ((b a)(b (a (^y.y)))) 6. ==[ alpha ]==> ((b a)(b (a (^x.x)))) REDUCED to normal form. ------ 132178/13522179. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 132179/13522206. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (^y.y))(a a))) 3. ==[ beta ]==> (((a b)(a a))((a (^y.y))(a a))) 4. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 132180/13522233. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a b))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a b))((a a)(a (^x.x)))) REDUCED to normal form. ------ 132181/13522341. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(b (a a))) 3. ==[ beta ]==> ((b ((^y.y) a))(b (a a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(b (a a))) 5. ==[ beta ]==> ((b a)(b (a a))) REDUCED to normal form. ------ 132182/13522368. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 132183/13522422. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(b a)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(b a)) 3. ==[ beta ]==> ((a (^y.y))(b a)) 4. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 132184/13522511. ------ 1. ==[ start ]==> (^a.((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (^x.((^y.(y y))(^z.z))) 3. ==[ beta ]==> (^x.((^z.z)(^z.z))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132185/13522512. ------ 1. ==[ start ]==> (a ((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (a ((^x.(x x))(^y.y))) 3. ==[ beta ]==> (a ((^y.y)(^y.y))) 4. ==[ alpha ]==> (a ((^x.x)(^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 132186/13522605. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.(^z1.z1)) x1))) 3. ==[ eta ]==> ((^x.(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132187/13531425. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132188/13531518. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b)) a) 2. ==[ alpha ]==> (((^x.(x x))(^y.y)) a) 3. ==[ beta ]==> (((^y.y)(^y.y)) a) 4. ==[ alpha ]==> (((^x.x)(^y.y)) a) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 132189/13531524. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((^y.(y y))(^z.z)) 4. ==[ alpha ]==> ((^x.(x x))(^y.y)) 5. ==[ beta ]==> ((^y.y)(^y.y)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132190/13531551. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.a)(^z.(a a)))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.(a a)))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (a ((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 132191/13531614. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132192/13531617. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 132193/13531776. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> (^y.(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> (^x.(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 132194/13532118. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a (a a)))(((^y.(^z.(^x1.x1)))(a (a a)))((^y.(^z.(^x1.x1)))(a (a a))))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(((^x1.(^y1.(^z1.z1)))(a (a a)))((^x2.(^y2.(^z2.z2)))(a (a a))))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.(^y1.(^z1.z1)))(a (a a)))((^x2.(^y2.(^z2.z2)))(a (a a))))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.(^y1.y1)))(a (a a)))((^z1.(^x2.(^y2.y2)))(a (a a))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132195/13532391. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y (^z.z)))) REDUCED to normal form. ------ 132196/13532469. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132197/13533414. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(b a))) 3. ==[ beta ]==> (((^y.(y y))(b a)) b) 4. ==[ alpha ]==> (((^x.(x x))(b a)) b) 5. ==[ beta ]==> (((b a)(b a)) b) REDUCED to normal form. ------ 132198/13533801. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.((c (a (^z.(^x1.x1))))(c (a (^z.(^x1.x1)))))) 4. ==[ alpha ]==> (^x.((c (a (^y.(^z.z))))(c (a (^x1.(^y1.y1)))))) REDUCED to normal form. ------ 132199/13533849. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 132200/13534182. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (b (^x1.((^y1.y1) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 132201/13534524. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x) a)((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.y)) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 132202/13534683. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((((^z.b)(^x1.a))((^z.b)(^x1.a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.b)(^y.a))((^z.b)(^x1.a)))(^y1.y1)) 5. ==[ beta ]==> ((b ((^z.b)(^x1.a)))(^y1.y1)) 6. ==[ alpha ]==> ((b ((^x.b)(^y.a)))(^z.z)) 7. ==[ beta ]==> ((b b)(^z.z)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 132203/13534857. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (b (^z.((^x1.x1) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 132204/13535439. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(b a))) 3. ==[ eta ]==> (b ((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(b a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 132205/13535988. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a)((^z1.z1)(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 132206/13536063. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 132207/13536276. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^x1.a)((^y1.y1)(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)((^y.y)(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^z.(^x1.x1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 132208/13536612. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(b z))) 3. ==[ eta ]==> (((^x.(^y.y))(b a)) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 132209/13537116. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 132210/13537194. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 132211/13537368. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (b (^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 132212/13538034. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 132213/13538232. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(a b))) 3. ==[ beta ]==> ((^y.y)(^x1.(a b))) 4. ==[ alpha ]==> ((^x.x)(^y.(a b))) 5. ==[ beta ]==> (^y.(a b)) 6. ==[ alpha ]==> (^x.(a b)) REDUCED to normal form. ------ 132214/13538637. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(y b))) 3. ==[ beta ]==> (((b a)(b a))(^y.(y b))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(x b))) REDUCED to normal form. ------ 132215/13538979. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.((a a) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.((a a) a))) REDUCED to normal form. ------ 132216/13539141. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.a))) REDUCED to normal form. ------ 132217/13539273. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 132218/13539933. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132219/13540113. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a b)(^y.((^z.z) a))) 6. ==[ alpha ]==> ((a b)(^x.((^y.y) a))) 7. ==[ beta ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 132220/13540194. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 132221/13540275. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(^z.y))) REDUCED to normal form. ------ 132222/13540329. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 132223/13540383. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 132224/13540434. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(a (^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132225/13540437. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 132226/13540527. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.z)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132227/13540539. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 132228/13540566. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 132229/13540602. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (b (^y.y)))) 3. ==[ beta ]==> ((a a)(b (b (^y.y)))) 4. ==[ alpha ]==> ((a a)(b (b (^x.x)))) REDUCED to normal form. ------ 132230/13540629. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 132231/13540683. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a))(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132232/13540692. ------ 1. ==[ start ]==> (((a a) b)((^c.(a a)) c)) 2. ==[ alpha ]==> (((a a) b)((^x.(a a)) c)) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 132233/13540710. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 132234/13540737. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 132235/13540764. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 132236/13540791. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 132237/13540872. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.a)(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 132238/13540899. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(b a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 132239/13540953. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (a (((^y.y) a)((^z.z) b))) 6. ==[ alpha ]==> (a (((^x.x) a)((^y.y) b))) 7. ==[ beta ]==> (a (a ((^y.y) b))) 8. ==[ alpha ]==> (a (a ((^x.x) b))) 9. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 132240/13540980. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 132241/13541106. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 132242/13541124. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 132243/13541133. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 132244/13541205. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.b))) 5. ==[ beta ]==> ((a b)((a a)(^y.b))) 6. ==[ alpha ]==> ((a b)((a a)(^x.b))) REDUCED to normal form. ------ 132245/13541232. ------ 1. ==[ start ]==> (((a (a a)) a)((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a b)(^x.(a a)))) REDUCED to normal form. ------ 132246/13541313. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 132247/13541340. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 132248/13541376. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 132249/13541403. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(b (^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a)(b (^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.y))) REDUCED to normal form. ------ 132250/13541448. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(a a)) b)) 3. ==[ beta ]==> ((b b)(((a a)(a a)) b)) REDUCED to normal form. ------ 132251/13541484. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 132252/13541952. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 132253/13542006. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> (a (((a a) a)((^z.z)(a a)))) 6. ==[ alpha ]==> (a (((a a) a)((^x.x)(a a)))) 7. ==[ beta ]==> (a (((a a) a)(a a))) REDUCED to normal form. ------ 132254/13542087. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a) a)(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> (((a a) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 132255/13542114. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 132256/13542177. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 132257/13542204. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132258/13542231. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 132259/13542321. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a))((a a) a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))((a a) a))) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 132260/13542348. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.b)(a b))) 3. ==[ beta ]==> (((a (a a)) a)((^y.b)(a b))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b)(a b))) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 132261/13542402. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 132262/13542429. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(b a))) 3. ==[ beta ]==> ((a (a b))((b a)(b a))) REDUCED to normal form. ------ 132263/13542582. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 132264/13542816. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (a (^y.(^z.z))))) REDUCED to normal form. ------ 132265/13542834. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 132266/13543032. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.(a a))((a b)((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))((a b)((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 132267/13543059. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a b))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 132268/13543113. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (a a))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (a a))((a a)(^y.y)))) 7. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 8. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 132269/13543194. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> (b ((a a)((^x1.x1) b))) 4. ==[ alpha ]==> (b ((a a)((^x.x) b))) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 132270/13543230. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a a) a)(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b)(^y.y))) 5. ==[ beta ]==> (((a a) a)(b (^y.y))) 6. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 132271/13543257. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 132272/13543284. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((b a)(^z.a))) REDUCED to normal form. ------ 132273/13543338. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 132274/13543365. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(^z.a))) 5. ==[ beta ]==> ((^y.(y y))((a b)(^z.a))) 6. ==[ alpha ]==> ((^x.(x x))((a b)(^y.a))) 7. ==[ beta ]==> (((a b)(^y.a))((a b)(^y.a))) 8. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 132275/13543392. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)(^y.b))) REDUCED to normal form. ------ 132276/13543419. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(a a))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 132277/13543482. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(b a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(b a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(b a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 132278/13543509. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 132279/13543536. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)((^z.z) b))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)((^y.y) b))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y) b)) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x) b)) 7. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 132280/13543563. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 132281/13543590. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 132282/13543635. ------ 1. ==[ start ]==> (((^a.b) c)(((a a)(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b) c)(((a a)(^y.y)) d)) 3. ==[ beta ]==> (b (((a a)(^y.y)) d)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) d)) REDUCED to normal form. ------ 132283/13543644. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 132284/13543671. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 132285/13543698. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 132286/13543869. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a ((^z.z) b))) 3. ==[ beta ]==> (b (a ((^z.z) b))) 4. ==[ alpha ]==> (b (a ((^x.x) b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 132287/13543878. ------ 1. ==[ start ]==> (((a b) c)((^b.b) a)) 2. ==[ alpha ]==> (((a b) c)((^x.x) a)) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 132288/13543905. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a) b)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 132289/13543950. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 132290/13543977. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 132291/13544031. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 132292/13544112. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (b (a ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 132293/13544211. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 132294/13544265. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 132295/13544292. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 132296/13544319. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 11. ==[ beta ]==> b REDUCED to normal form. ------ 132297/13544373. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 132298/13544400. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(a (^x.x)))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 132299/13544427. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 132300/13544454. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(b a))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 132301/13544733. ------ 1. ==[ start ]==> (((^a.a)(b a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(c ((a a)(^y.y)))) 3. ==[ beta ]==> ((b a)(c ((a a)(^y.y)))) 4. ==[ alpha ]==> ((b a)(c ((a a)(^x.x)))) REDUCED to normal form. ------ 132302/13544760. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 132303/13544796. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 132304/13544814. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((b a)(a a))) 3. ==[ beta ]==> (((a b)(a b))((b a)(a a))) REDUCED to normal form. ------ 132305/13544895. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a b)(a (a a)))) 3. ==[ beta ]==> (b ((a b)(a (a a)))) REDUCED to normal form. ------ 132306/13545003. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 132307/13545021. ------ 1. ==[ start ]==> (((a a)(b a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 132308/13545075. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 132309/13545156. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 132310/13545183. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.b)(a (a a)))) 3. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 132311/13545237. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 132312/13545282. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132313/13545291. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 132314/13545597. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 132315/13545624. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a (b a))) 3. ==[ beta ]==> ((^y.y)(a (b a))) 4. ==[ alpha ]==> ((^x.x)(a (b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 132316/13545678. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a))(a (^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(a (^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(a (^y.y)))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a (^y.y)))) 10. ==[ alpha ]==> (((a a)(a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 132317/13545687. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(a a)) c)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 132318/13545759. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((^y.y)(^z.z))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 132319/13545867. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132320/13545939. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 132321/13545966. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 132322/13546020. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 132323/13546047. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 132324/13546074. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(a b))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(a b))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 132325/13546101. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 132326/13546128. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 132327/13546173. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132328/13546182. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 132329/13546209. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.a))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 132330/13546380. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (b (a ((a a)(^z.z)))) 4. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 132331/13546488. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(^x2.x2))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132332/13546542. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (b (((^y.y) a)((a a) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((a a) a))) 7. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 132333/13546569. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 5. ==[ beta ]==> ((a (^y.y))(a b)) 6. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 132334/13546659. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))((a b)(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 132335/13546686. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a) a)(^y.a))) REDUCED to normal form. ------ 132336/13546713. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.(z z))) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 132337/13546740. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 132338/13546821. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(^y1.(a a)))) REDUCED to normal form. ------ 132339/13546848. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((b (^x.x))((a a) a)) REDUCED to normal form. ------ 132340/13546884. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 132341/13546938. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 132342/13546965. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 132343/13546992. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 132344/13547019. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 132345/13547046. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.(a a))) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 132346/13547244. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(a b))) 3. ==[ beta ]==> ((^y.y)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 132347/13547523. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y)) c)) 5. ==[ beta ]==> ((b b)((^y.y) c)) 6. ==[ alpha ]==> ((b b)((^x.x) c)) 7. ==[ beta ]==> ((b b) c) REDUCED to normal form. ------ 132348/13547595. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> (c ((^y.y)(^z.z))) 6. ==[ alpha ]==> (c ((^x.x)(^y.y))) 7. ==[ beta ]==> (c (^y.y)) 8. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 132349/13547649. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a (a b))) 3. ==[ beta ]==> (((b a)(b a))(a (a b))) REDUCED to normal form. ------ 132350/13547712. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 132351/13547730. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (b ((a (a a))((^y.y) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 132352/13547847. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 132353/13547874. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 132354/13547901. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 132355/13547937. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 132356/13547964. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 132357/13547991. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)((a a) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a) a)) REDUCED to normal form. ------ 132358/13548018. ------ 1. ==[ start ]==> (((a (a a))(b a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 132359/13548045. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 132360/13548072. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.a)(^y.a))) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.a))) 7. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 132361/13548099. ------ 1. ==[ start ]==> (((a b)(a b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 132362/13548126. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 132363/13548288. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 132364/13548567. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(b (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132365/13548603. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z)) a)) 3. ==[ beta ]==> ((b c)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((b c)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 132366/13548630. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(x x)) b)) 3. ==[ beta ]==> ((((a a)(a a)) b)(b b)) REDUCED to normal form. ------ 132367/13548675. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 132368/13548702. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 132369/13548738. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(^z.z))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 132370/13548765. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 132371/13548846. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (a a)) a)) REDUCED to normal form. ------ 132372/13548873. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z) a) b)) 3. ==[ beta ]==> (((a a)(^y.b))(((^z.z) a) b)) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a) b)) 5. ==[ beta ]==> (((a a)(^x.b))(a b)) REDUCED to normal form. ------ 132373/13548945. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(a (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132374/13548954. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a a)) REDUCED to normal form. ------ 132375/13548981. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.a) b)) 3. ==[ beta ]==> ((b (^y.a))((^z.a) b)) 4. ==[ alpha ]==> ((b (^x.a))((^y.a) b)) 5. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 132376/13549071. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(b (^x.x))) a) REDUCED to normal form. ------ 132377/13549098. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 132378/13549125. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a b)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((a b)((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((a b)((^y.y) a)) 8. ==[ alpha ]==> ((a b)((^x.x) a)) 9. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 132379/13549152. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 132380/13549179. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 132381/13549206. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.a)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 132382/13549233. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(c (^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(c (^y.y))) 3. ==[ beta ]==> (((a b)(a a))(c (^y.y))) 4. ==[ alpha ]==> (((a b)(a a))(c (^x.x))) REDUCED to normal form. ------ 132383/13549260. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 132384/13549287. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a (^y.a))) REDUCED to normal form. ------ 132385/13549341. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a (^z.z))) REDUCED to normal form. ------ 132386/13549368. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 132387/13549395. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 132388/13549449. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 132389/13549539. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a a)) 3. ==[ beta ]==> (((^y.y)(^y.y))(a a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 132390/13558461. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^b.b)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.x1)) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132391/13558554. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b)) b) 2. ==[ alpha ]==> (((^x.(x x))(^y.y)) b) 3. ==[ beta ]==> (((^y.y)(^y.y)) b) 4. ==[ alpha ]==> (((^x.x)(^y.y)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 132392/13558578. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132393/13558671. ------ 1. ==[ start ]==> (((^a.a) b)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((^x.x) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 132394/13559163. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.(x1 x1)))(((a (^y.(^z.z)))(^x1.(x1 x1)))((a (^y.(^z.z)))(^x1.(x1 x1))))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(((a (^x1.(^y1.y1)))(^z1.(z1 z1)))((a (^x2.(^y2.y2)))(^z2.(z2 z2))))) REDUCED to normal form. ------ 132395/13559388. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132396/13559514. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) b) c)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132397/13560279. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 132398/13560552. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((a a)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((a a)(a a)))) IRREDUCIBLE: cycle. ------ 132399/13560846. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(((^z.a)(^x1.(^y1.(^z1.z1))))((^z.a)(^x1.(^y1.(^z1.z1)))))) 4. ==[ alpha ]==> (^x.(((^y.a)(^z.(^x1.(^y1.y1))))((^z1.a)(^x2.(^y2.(^z2.z2)))))) 5. ==[ beta ]==> (^x.(a ((^z1.a)(^x2.(^y2.(^z2.z2)))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.(^x1.(^y1.y1)))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 132400/13561236. ------ 1. ==[ start ]==> (((a b) b)(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a b) b)(^x.((^y.y) b))) 3. ==[ beta ]==> (((a b) b)(^x.b)) REDUCED to normal form. ------ 132401/13561902. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 132402/13561911. ------ 1. ==[ start ]==> (((a b) c)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a b) c)(^x.((^y.y) b))) 3. ==[ beta ]==> (((a b) c)(^x.b)) REDUCED to normal form. ------ 132403/13562829. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 132404/13563321. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((((^x1.x1) a)(^y1.(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 132405/13564239. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a b) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a b) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 132406/13564413. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 132407/13565682. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.y))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.y))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.x))) REDUCED to normal form. ------ 132408/13565871. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132409/13566492. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 132410/13566636. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b c)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b c)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b c)(^x.(^z.z))) 6. ==[ alpha ]==> ((b c)(^x.(^y.y))) REDUCED to normal form. ------ 132411/13566870. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 132412/13566978. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132413/13566987. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(x1 (x1 x1)))) REDUCED to normal form. ------ 132414/13567158. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.a))) 5. ==[ beta ]==> ((a b)(^y.(^z.a))) 6. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 132415/13567320. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^b.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.c)) REDUCED to normal form. ------ 132416/13567479. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.a) b)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.x1) b)) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.x1) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132417/13567482. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^b.b)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.z)) 3. ==[ beta ]==> ((a (^y.y))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 132418/13567572. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132419/13567602. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 132420/13567629. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 132421/13567665. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (b (^y.y)))) REDUCED to normal form. ------ 132422/13567692. ------ 1. ==[ start ]==> (((^a.a) b)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x) b)(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> (b (a ((^y.(^z.z)) a))) 4. ==[ alpha ]==> (b (a ((^x.(^y.y)) a))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 132423/13567719. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((b (^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)((b (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(a a))) 5. ==[ beta ]==> ((b (^y.y))(a a)) 6. ==[ alpha ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 132424/13567746. ------ 1. ==[ start ]==> (((a a) b)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 132425/13567773. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(b ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(b a)) REDUCED to normal form. ------ 132426/13567800. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(a (a a)))) REDUCED to normal form. ------ 132427/13567827. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(^z.z))) REDUCED to normal form. ------ 132428/13567881. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(a a))(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (((^y.y)(a a))(a b)) 6. ==[ alpha ]==> (((^x.x)(a a))(a b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 132429/13567962. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(b a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(b a))) 5. ==[ beta ]==> (((a (^x.x)) b)(b a)) REDUCED to normal form. ------ 132430/13567989. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)((a (a a))(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 132431/13568016. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.a))(a ((^z.z) b))) 4. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.y) b))) 5. ==[ beta ]==> (((a a)(^x.a))(a b)) REDUCED to normal form. ------ 132432/13568043. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))((a a)(a a)))) REDUCED to normal form. ------ 132433/13568070. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(b (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(b (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(b (^y.y)))) REDUCED to normal form. ------ 132434/13568106. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((b (^y.y))(^z.z))) 3. ==[ beta ]==> (((a a) a)((b (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a) a)((b (^x.x))(^y.y))) REDUCED to normal form. ------ 132435/13568133. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 132436/13568160. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) b)(^z.a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b)(^y.a))) 5. ==[ beta ]==> ((a (a a))(b (^y.a))) 6. ==[ alpha ]==> ((a (a a))(b (^x.a))) REDUCED to normal form. ------ 132437/13568187. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 132438/13568196. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a (a a)))((^y.(^z.(^x1.x1)))(a (a a)))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.(^z1.z1)))(a (a a)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a (a a)))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132439/13568277. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(a a))(a b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a b))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 7. ==[ beta ]==> ((^y.(a a))(a b)) 8. ==[ alpha ]==> ((^x.(a a))(a b)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 132440/13568304. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 132441/13568385. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z)))(a (^y.(^z.z))))) 6. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 132442/13568412. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 132443/13568484. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((b (^z.z)) a)) 3. ==[ beta ]==> ((a (a (^y.y)))((b (^z.z)) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((b (^y.y)) a)) REDUCED to normal form. ------ 132444/13568511. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(a a)) b)) REDUCED to normal form. ------ 132445/13568538. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) b) c)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b) c)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b) c)) 5. ==[ beta ]==> ((a (^x.x))(b c)) REDUCED to normal form. ------ 132446/13568547. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132447/13568574. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132448/13568682. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 7. ==[ beta ]==> ((^y.b)(^z.(a a))) 8. ==[ alpha ]==> ((^x.b)(^y.(a a))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 132449/13568763. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.(^y1.(^z1.z1)))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 132450/13568916. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y) c)) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) c) REDUCED to normal form. ------ 132451/13569096. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (b ((^y.y)((a a)(^z.z)))) 8. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 9. ==[ beta ]==> (b ((a a)(^y.y))) 10. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 132452/13569123. ------ 1. ==[ start ]==> ((((a a) a) a)((a (a a))(b a))) REDUCED to normal form. ------ 132453/13569177. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1)) b)) REDUCED to normal form. ------ 132454/13569204. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 132455/13569303. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 132456/13569321. ------ 1. ==[ start ]==> (((a a)((a a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((b a)(^x.(x x)))) REDUCED to normal form. ------ 132457/13569348. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 132458/13569402. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a b)(^y.b))) 3. ==[ beta ]==> (((a (a a)) a)((a b)(^y.b))) 4. ==[ alpha ]==> (((a (a a)) a)((a b)(^x.b))) REDUCED to normal form. ------ 132459/13569429. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 132460/13569492. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(b a))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(b a))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(b a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 132461/13569573. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)((a a)(a a)))) IRREDUCIBLE: cycle. ------ 132462/13569654. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 132463/13569762. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.b))) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 132464/13569870. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 132465/13569969. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.b) b)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x) b)) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 132466/13570041. ------ 1. ==[ start ]==> (((^a.b) b)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 132467/13570248. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (b (b (^x1.x1))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 132468/13570257. ------ 1. ==[ start ]==> (((a b) b)((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a b) b)((a a)((^x.x) b))) 3. ==[ beta ]==> (((a b) b)((a a) b)) REDUCED to normal form. ------ 132469/13570302. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 132470/13570329. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132471/13570464. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> (b ((^z.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 132472/13570563. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 132473/13570590. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a a)(^y.y))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(^y.y))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 132474/13570617. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z) b) a)) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z) b) a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) b) a)) 5. ==[ beta ]==> (((a (a a))(^x.x))(b a)) REDUCED to normal form. ------ 132475/13570644. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.(^z.z))) b)) 5. ==[ beta ]==> ((a (a a))((a (^y.(^z.z))) b)) 6. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 132476/13570671. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((b a) c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((b a) c)) 3. ==[ beta ]==> ((((a a) a) a)((b a) c)) REDUCED to normal form. ------ 132477/13570788. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 132478/13570923. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 132479/13570932. ------ 1. ==[ start ]==> (((a b) c)(a ((^a.a) b))) 2. ==[ alpha ]==> (((a b) c)(a ((^x.x) b))) 3. ==[ beta ]==> (((a b) c)(a b)) REDUCED to normal form. ------ 132480/13570959. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a a) b)((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 132481/13570986. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((b a)(a (^y.y)))) REDUCED to normal form. ------ 132482/13571040. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 132483/13571067. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.b))((a b)(^z.z))) 6. ==[ alpha ]==> ((a (^x.b))((a b)(^y.y))) REDUCED to normal form. ------ 132484/13571121. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132485/13571148. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a (a a))(a a))) REDUCED to normal form. ------ 132486/13571175. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 132487/13571202. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 132488/13571229. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 132489/13571265. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 132490/13571292. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 132491/13571319. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a b))(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 132492/13571346. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 132493/13571373. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 9. ==[ beta ]==> ((a b)(^y.(^z.z))) 10. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 132494/13571427. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (((a b) a)((^y.y)(^z.b))) 6. ==[ alpha ]==> (((a b) a)((^x.x)(^y.b))) 7. ==[ beta ]==> (((a b) a)(^y.b)) 8. ==[ alpha ]==> (((a b) a)(^x.b)) REDUCED to normal form. ------ 132495/13571454. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 132496/13571679. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 132497/13571787. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 132498/13571850. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 132499/13571877. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((b a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((b a)(a a))) REDUCED to normal form. ------ 132500/13571931. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 132501/13571958. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)(a (a a)))) REDUCED to normal form. ------ 132502/13571985. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))(((a a) a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 132503/13572012. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 132504/13572156. ------ 1. ==[ start ]==> (((a (a a))(a b))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((b a)(^x.x))) REDUCED to normal form. ------ 132505/13572183. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 132506/13572210. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(^z.a))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 132507/13572237. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a b)(^x.(x x)))) REDUCED to normal form. ------ 132508/13572264. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 132509/13572345. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(a a)))) REDUCED to normal form. ------ 132510/13572354. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132511/13572516. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 132512/13572624. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132513/13572660. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b ((a a)(^x1.x1)))) REDUCED to normal form. ------ 132514/13572741. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 132515/13572768. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((a b)((^z.z) a))) 6. ==[ alpha ]==> ((^x.b)((a b)((^y.y) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 132516/13572822. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 132517/13572849. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))((a a) a))) REDUCED to normal form. ------ 132518/13572876. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (a b))) REDUCED to normal form. ------ 132519/13572921. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132520/13572930. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)((a a)(^x1.x1)))) REDUCED to normal form. ------ 132521/13572966. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 132522/13572993. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 132523/13573020. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a b)(^z.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a b)(^z.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(^y.a))) REDUCED to normal form. ------ 132524/13573047. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 132525/13573074. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> ((a b)(^y.(^z.z))) 10. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 132526/13573128. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((a b)(^x.x))(a (^z.b))) 6. ==[ alpha ]==> (((a b)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 132527/13573155. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 132528/13573236. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a a) b)) REDUCED to normal form. ------ 132529/13573263. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a b) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))((a b) c)) 3. ==[ beta ]==> ((a b)((a b) c)) REDUCED to normal form. ------ 132530/13573272. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 132531/13573434. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 132532/13573551. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)(a (a a))) REDUCED to normal form. ------ 132533/13573578. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b a)((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b a)((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b a)((a (a a))(^y.y))) 6. ==[ alpha ]==> ((b a)((a (a a))(^x.x))) REDUCED to normal form. ------ 132534/13573605. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 132535/13573632. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(a b))) REDUCED to normal form. ------ 132536/13573758. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 132537/13573866. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132538/13573938. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a b) b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a b) b)) 3. ==[ beta ]==> (((a a) b)((a b) b)) REDUCED to normal form. ------ 132539/13574127. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a)) a)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(a a)) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a)) a)) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 132540/13574154. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.b) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) b) REDUCED to normal form. ------ 132541/13574298. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (^x1.b))) 3. ==[ beta ]==> ((^y.y)(b (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 132542/13574433. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 132543/13574541. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132544/13574622. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 132545/13574649. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 132546/13574658. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(c (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(c (^z.z))) REDUCED to normal form. ------ 132547/13574685. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b ((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b ((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b ((a a) a))) REDUCED to normal form. ------ 132548/13574703. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((b a)(b a))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)(^y.b))) 5. ==[ beta ]==> (((b a)(b a))(^y.b)) 6. ==[ alpha ]==> (((b a)(b a))(^x.b)) REDUCED to normal form. ------ 132549/13574766. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 132550/13574793. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.b))((a (a a)) a)) REDUCED to normal form. ------ 132551/13574847. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 132552/13574892. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(a (^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132553/13574991. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(a (^x.(x x)))) REDUCED to normal form. ------ 132554/13575018. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 132555/13575072. ------ 1. ==[ start ]==> (((a (a a))(b a))(((a a) a) a)) REDUCED to normal form. ------ 132556/13575099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z) b)) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y) b)) 9. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 132557/13575261. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 132558/13575288. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(z z)) c)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(z z)) c)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(y y)) c)) 5. ==[ beta ]==> ((b (a (^x.x)))(c c)) REDUCED to normal form. ------ 132559/13575432. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(x2 x2))(a (^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(x2 x2))(a (^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132560/13575513. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 132561/13575621. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132562/13575657. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b c)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b c)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b c)(a (^y.y))) 6. ==[ alpha ]==> ((b c)(a (^x.x))) REDUCED to normal form. ------ 132563/13575684. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (a a))(a a))) REDUCED to normal form. ------ 132564/13575729. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(c (^z.a))) 3. ==[ beta ]==> ((b (^y.y))(c (^z.a))) 4. ==[ alpha ]==> ((b (^x.x))(c (^y.a))) REDUCED to normal form. ------ 132565/13575756. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(b (^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 132566/13575810. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(y1 y1))(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a)(a a))) REDUCED to normal form. ------ 132567/13575891. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (b ((^z.z)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 132568/13575999. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132569/13576008. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (a (a a)))) REDUCED to normal form. ------ 132570/13576035. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((b (^y.a))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((b (^x.a))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((b (^x.a))(a (a a))) REDUCED to normal form. ------ 132571/13576062. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 132572/13576125. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 132573/13576152. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 132574/13576179. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a a)(^z.a))) 3. ==[ beta ]==> ((a ((^y.y) b))((a a)(^z.a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a a)(^y.a))) 5. ==[ beta ]==> ((a b)((a a)(^y.a))) 6. ==[ alpha ]==> ((a b)((a a)(^x.a))) REDUCED to normal form. ------ 132575/13576206. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(((^z.z) a) a)) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 132576/13576233. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (^z.z)) b)) 3. ==[ beta ]==> (((^y.y)(b a))((a (^z.z)) b)) 4. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y)) b)) 5. ==[ beta ]==> ((b a)((a (^y.y)) b)) 6. ==[ alpha ]==> ((b a)((a (^x.x)) b)) REDUCED to normal form. ------ 132577/13576287. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.a) a)) 3. ==[ beta ]==> (((a b)(a a))((^y.a) a)) 4. ==[ alpha ]==> (((a b)(a a))((^x.a) a)) 5. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 132578/13576314. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 132579/13576395. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 132580/13576422. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a (^z.z)) a)) 3. ==[ beta ]==> ((b ((^y.y) a))((a (^z.z)) a)) 4. ==[ alpha ]==> ((b ((^x.x) a))((a (^y.y)) a)) 5. ==[ beta ]==> ((b a)((a (^y.y)) a)) 6. ==[ alpha ]==> ((b a)((a (^x.x)) a)) REDUCED to normal form. ------ 132581/13576449. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a a) b)) REDUCED to normal form. ------ 132582/13576503. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.a) b)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.z) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 132583/13576593. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (^z.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 132584/13585617. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b)) c) 2. ==[ alpha ]==> (((^x.(x x))(^y.y)) c) 3. ==[ beta ]==> (((^y.y)(^y.y)) c) 4. ==[ alpha ]==> (((^x.x)(^y.y)) c) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 132585/13585695. ------ 1. ==[ start ]==> ((^a.b)(c ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.b)(c ((a a)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 132586/13585752. ------ 1. ==[ start ]==> (((a a)(a a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(a a))(^x.((^y.(^z.z)) x))) 3. ==[ eta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 132587/13585776. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b (^z.z))(a a))) 3. ==[ beta ]==> (((b (^z.z))(a a))(^y.y)) 4. ==[ alpha ]==> (((b (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 132588/13585965. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)((^z.z)(a a)))) 3. ==[ eta ]==> ((^y.y)((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 132589/13586460. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132590/13586913. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(b (^z.z)))) REDUCED to normal form. ------ 132591/13587018. ------ 1. ==[ start ]==> ((^a.((a a) a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((b a)(a (a a)))) 3. ==[ beta ]==> ((((b a)(a (a a)))((b a)(a (a a))))((b a)(a (a a)))) REDUCED to normal form. ------ 132592/13587351. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 132593/13587993. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((z z)(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((z z)(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((y y)(y y)))) REDUCED to normal form. ------ 132594/13588125. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(a a))((^x1.x1)(^y1.y1)))(((^z.z)(a a))((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(a a))((^z.z)(^x1.x1)))(((^y1.y1)(a a))((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> ((((^y.y)(a a))((^z.z)(^x1.x1)))(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 11. ==[ beta ]==> (((a a)(^x.x))((a a)((^z.z)(^x1.x1)))) 12. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(^z.z)))) 13. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 14. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 132595/13588983. ------ 1. ==[ start ]==> (((a b) c)(^b.(^b.b))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 132596/13589901. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 132597/13591953. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((b (^y.y))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((b (^x.x))(^y.(a a))) REDUCED to normal form. ------ 132598/13592178. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(y y)))) 7. ==[ beta ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 132599/13592310. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((((^y.y) a)((^z.z)(^x1.x1)))(((^y.y) a)((^z.z)(^x1.x1))))((((^y.y) a)((^z.z)(^x1.x1)))(((^y.y) a)((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> (((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1))))((((^x2.x2) a)((^y2.y2)(^z2.z2)))(((^x3.x3) a)((^y3.y3)(^z3.z3))))) 5. ==[ beta ]==> (((a ((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1))))((((^x2.x2) a)((^y2.y2)(^z2.z2)))(((^x3.x3) a)((^y3.y3)(^z3.z3))))) 6. ==[ alpha ]==> (((a ((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1))))((((^z1.z1) a)((^x2.x2)(^y2.y2)))(((^z2.z2) a)((^x3.x3)(^y3.y3))))) 7. ==[ beta ]==> (((a (^y.y))(((^z.z) a)((^x1.x1)(^y1.y1))))((((^z1.z1) a)((^x2.x2)(^y2.y2)))(((^z2.z2) a)((^x3.x3)(^y3.y3))))) 8. ==[ alpha ]==> (((a (^x.x))(((^y.y) a)((^z.z)(^x1.x1))))((((^y1.y1) a)((^z1.z1)(^x2.x2)))(((^y2.y2) a)((^z2.z2)(^x3.x3))))) 9. ==[ beta ]==> (((a (^x.x))(a ((^z.z)(^x1.x1))))((((^y1.y1) a)((^z1.z1)(^x2.x2)))(((^y2.y2) a)((^z2.z2)(^x3.x3))))) 10. ==[ alpha ]==> (((a (^x.x))(a ((^y.y)(^z.z))))((((^x1.x1) a)((^y1.y1)(^z1.z1)))(((^x2.x2) a)((^y2.y2)(^z2.z2))))) 11. ==[ beta ]==> (((a (^x.x))(a (^z.z)))((((^x1.x1) a)((^y1.y1)(^z1.z1)))(((^x2.x2) a)((^y2.y2)(^z2.z2))))) 12. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((((^z.z) a)((^x1.x1)(^y1.y1)))(((^z1.z1) a)((^x2.x2)(^y2.y2))))) 13. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a ((^x1.x1)(^y1.y1)))(((^z1.z1) a)((^x2.x2)(^y2.y2))))) 14. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a ((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(^x2.x2))))) 15. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^x1.x1))(((^y1.y1) a)((^z1.z1)(^x2.x2))))) 16. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1))))) 17. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a ((^y1.y1)(^z1.z1))))) 18. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a ((^x1.x1)(^y1.y1))))) 19. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^y1.y1)))) 20. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 132600/13592952. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.b))) REDUCED to normal form. ------ 132601/13593390. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 132602/13593564. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 132603/13593708. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 132604/13593843. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 132605/13593942. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 132606/13593951. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(a (a a)))) REDUCED to normal form. ------ 132607/13594059. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 132608/13594338. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a b)((^x.x)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.y)) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 132609/13594473. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.c)) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.c)) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.c)) 5. ==[ beta ]==> ((b a)(^y.c)) 6. ==[ alpha ]==> ((b a)(^x.c)) REDUCED to normal form. ------ 132610/13594551. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a a)(a a))) 3. ==[ eta ]==> ((^y.(^z.z))((a a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132611/13594644. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.a)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 132612/13594692. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.z))) 3. ==[ beta ]==> (a ((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (a ((^x.(x x))(^y.y))) 5. ==[ beta ]==> (a ((^y.y)(^y.y))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 132613/13594719. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 132614/13594728. ------ 1. ==[ start ]==> ((a b)(c ((a a)(a a)))) REDUCED to normal form. ------ 132615/13594782. ------ 1. ==[ start ]==> (((a a)(a a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(a a))(a ((^x.(^y.y)) a))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 132616/13594809. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((b (^y.y))(a a))) REDUCED to normal form. ------ 132617/13594944. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 132618/13594971. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(a b))) REDUCED to normal form. ------ 132619/13594998. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)((a b)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)((a b)((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 132620/13595259. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 132621/13595277. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.(x1 x1)))((a (^y.(^z.z)))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) REDUCED to normal form. ------ 132622/13595304. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 132623/13595340. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 132624/13595358. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.b))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 9. ==[ beta ]==> ((a a)(^y.b)) 10. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 132625/13595367. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(a b))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 132626/13595385. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)(^y.(a a)))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.(a a)))) REDUCED to normal form. ------ 132627/13595394. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 132628/13595421. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 132629/13595448. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 132630/13595466. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 132631/13595475. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 132632/13595493. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 132633/13595628. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b) c)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132634/13595718. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 132635/13595745. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.b))) 5. ==[ beta ]==> (a ((^y.(a a))(^z.b))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.b))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 132636/13595772. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 132637/13595853. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.(^y1.(^z1.z1)))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 132638/13595880. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 7. ==[ beta ]==> ((^y.a)(^z.z)) 8. ==[ alpha ]==> ((^x.a)(^y.y)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 132639/13595916. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b ((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(b ((a a)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b ((a a)(a a)))) REDUCED to normal form. ------ 132640/13595943. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (b (^y.y)))) REDUCED to normal form. ------ 132641/13595970. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a))(a a))) 5. ==[ beta ]==> ((a a)(((a a)(a a))(a a))) REDUCED to normal form. ------ 132642/13595997. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 132643/13596024. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))((^z.z) a))) 7. ==[ beta ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 132644/13596051. ------ 1. ==[ start ]==> ((a ((a a) a))((b a)(a (a a)))) REDUCED to normal form. ------ 132645/13596258. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (^x1.x1))) REDUCED to normal form. ------ 132646/13596285. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(a a)))) REDUCED to normal form. ------ 132647/13596366. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 132648/13596384. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 132649/13596555. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 132650/13596717. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 132651/13596735. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.(^x1.x1))) c)) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1))) c)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 132652/13596744. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 132653/13596825. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 132654/13596852. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 132655/13596879. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 132656/13596906. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 132657/13596969. ------ 1. ==[ start ]==> (((a a)(a b))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))(c (a (^x.(^y.y))))) REDUCED to normal form. ------ 132658/13596996. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b ((^y.y) b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(b b)) REDUCED to normal form. ------ 132659/13597023. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a ((a a)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a ((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(a ((a a)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((a a)(a a)))) REDUCED to normal form. ------ 132660/13597050. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) b)(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (a a))) REDUCED to normal form. ------ 132661/13597077. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> (a ((a (^y.(^z.z)))(a (^x1.x1)))) 8. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 132662/13597104. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((b a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((b a) a)) REDUCED to normal form. ------ 132663/13597131. ------ 1. ==[ start ]==> (((a b)(a a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 132664/13597158. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 8. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 132665/13597338. ------ 1. ==[ start ]==> (((a b) b)(b (^b.b))) 2. ==[ alpha ]==> (((a b) b)(b (^x.x))) REDUCED to normal form. ------ 132666/13597383. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b)(^z.z))) 5. ==[ beta ]==> ((a a)(((^y.y) b)(^z.z))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.y))) 7. ==[ beta ]==> ((a a)(b (^y.y))) 8. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 132667/13597392. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 132668/13597410. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 132669/13597419. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 132670/13597464. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.(y1 y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 9. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(x1 x1)))) 10. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(z z)))) 11. ==[ beta ]==> (((a a)(^y.y))(^z.(z z))) 12. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 132671/13597473. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 132672/13597500. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((^y.(a a))((^z.z)(^x1.x1)))((^y.(a a))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((^x.(a a))((^y.y)(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 9. ==[ beta ]==> ((a a)((^x1.(a a))((^y1.y1)(^z1.z1)))) 10. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(^z.z)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 132673/13597527. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 132674/13597545. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a) a)(^z.b))) 3. ==[ beta ]==> (b (((a a) a)(^z.b))) 4. ==[ alpha ]==> (b (((a a) a)(^x.b))) REDUCED to normal form. ------ 132675/13597554. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 132676/13597581. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 132677/13597770. ------ 1. ==[ start ]==> (((^a.b) c)((^d.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 132678/13598013. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 132679/13598310. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 132680/13598679. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((b a) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((b a) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((b a) b)) 5. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 132681/13598823. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 132682/13598931. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 132683/13598949. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 132684/13599156. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(b a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(b a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(b a))(a (a a))) REDUCED to normal form. ------ 132685/13599183. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 132686/13599210. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)(b a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)(b a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(b a))) 5. ==[ beta ]==> ((a (a a))((a a)(b a))) REDUCED to normal form. ------ 132687/13599417. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132688/13599435. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132689/13599516. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((b a) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((b a) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((b a) a)) 5. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 132690/13599714. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 132691/13600011. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 132692/13600308. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132693/13600353. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b) c)) 3. ==[ beta ]==> ((^y.y)((a b) c)) 4. ==[ alpha ]==> ((^x.x)((a b) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 132694/13600794. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))((^z.(a a))(a a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(a a))(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 132695/13600821. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 132696/13600839. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((a a) a)(^y.a))) 3. ==[ beta ]==> (b (((a a) a)(^y.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 132697/13600848. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 132698/13600875. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 132699/13600902. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.x1)) 10. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 132700/13600947. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a (^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132701/13600956. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 132702/13600983. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 132703/13601154. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c ((a a) a))) REDUCED to normal form. ------ 132704/13601181. ------ 1. ==[ start ]==> (((a b)((a a) a))(b (a b))) REDUCED to normal form. ------ 132705/13601208. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 132706/13601235. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a b)(a a))) REDUCED to normal form. ------ 132707/13601289. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1) a)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1) a)) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 132708/13601316. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((b (a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 132709/13601343. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a ((a a)(a a)))(a (^y.y))) 6. ==[ alpha ]==> ((a ((a a)(a a)))(a (^x.x))) REDUCED to normal form. ------ 132710/13601514. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 132711/13601622. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132712/13601658. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 132713/13601685. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 132714/13601739. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 132715/13601865. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (b ((^y.(^z.z)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 132716/13601928. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c (^x1.(^y1.y1)))) REDUCED to normal form. ------ 132717/13601982. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.b))) REDUCED to normal form. ------ 132718/13602009. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)(a a))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 132719/13602036. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 132720/13602288. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(b (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 132721/13602342. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(a a))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 132722/13602369. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 132723/13602396. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(a ((^y.y) a))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(a ((^x.x) a))) 5. ==[ beta ]==> ((((a a)(a a))(a a))(a a)) REDUCED to normal form. ------ 132724/13602423. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 132725/13602513. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (a a))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132726/13602594. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 132727/13602738. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((b c)(^y.(^z.z))) 6. ==[ alpha ]==> ((b c)(^x.(^y.y))) REDUCED to normal form. ------ 132728/13602810. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((b (^y.y))((^z.a) c)) 4. ==[ alpha ]==> ((b (^x.x))((^y.a) c)) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 132729/13602873. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 132730/13602891. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (a a))(^y1.y1))) REDUCED to normal form. ------ 132731/13602900. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 132732/13602972. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a a)(^z.(z z)))) 3. ==[ beta ]==> (b ((a a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 132733/13602981. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 132734/13603008. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(^z.z))) 5. ==[ beta ]==> (((a a)(^x.b))((^z.z)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 132735/13603089. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.(y1 y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 132736/13603260. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(b c)) 3. ==[ beta ]==> ((a ((^y.y) b))(b c)) 4. ==[ alpha ]==> ((a ((^x.x) b))(b c)) 5. ==[ beta ]==> ((a b)(b c)) REDUCED to normal form. ------ 132737/13603314. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(c (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(c (a a))) 3. ==[ beta ]==> (((^y.y)(b a))(c (a a))) 4. ==[ alpha ]==> (((^x.x)(b a))(c (a a))) 5. ==[ beta ]==> ((b a)(c (a a))) REDUCED to normal form. ------ 132738/13603341. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 132739/13603368. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a b)(a a))(a ((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a a))(a ((^x.x) a))) 5. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 132740/13603395. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (^y.y))(a a))) 3. ==[ beta ]==> (((a a)(a b))((a (^y.y))(a a))) 4. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(a a))) REDUCED to normal form. ------ 132741/13603422. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 132742/13603476. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(b b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(b b)) REDUCED to normal form. ------ 132743/13603503. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(a c)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(a c)) 3. ==[ beta ]==> ((b ((^y.y) a))(a c)) 4. ==[ alpha ]==> ((b ((^x.x) a))(a c)) 5. ==[ beta ]==> ((b a)(a c)) REDUCED to normal form. ------ 132744/13603530. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(b (a a))) REDUCED to normal form. ------ 132745/13603584. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a a)(a a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a a)(a a))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 132746/13603674. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 132747/13603700. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132748/13603701. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 132749/13609059. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132750/13612740. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132751/13612767. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^z.z))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 9. ==[ beta ]==> ((^y.(y y))(^z.z)) 10. ==[ alpha ]==> ((^x.(x x))(^y.y)) 11. ==[ beta ]==> ((^y.y)(^y.y)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132752/13612794. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 132753/13612830. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (b (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132754/13612992. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (^x.((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (^x.((b a)(^z.z))) 6. ==[ alpha ]==> (^x.((b a)(^y.y))) REDUCED to normal form. ------ 132755/13613235. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)(b (^z.z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 132756/13613334. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^y.y)((^z.z) a))((^y.y)((^z.z) a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)((^x1.x1) a))((^y1.y1)((^z1.z1) a)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)((^x1.x1) a))((^y1.y1)((^z1.z1) a)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)((^z.z) a))((^x1.x1)((^y1.y1) a)))) 7. ==[ beta ]==> (a (((^y.y)((^z.z) a))((^x1.x1)((^y1.y1) a)))) 8. ==[ alpha ]==> (a (((^x.x)((^y.y) a))((^z.z)((^x1.x1) a)))) 9. ==[ beta ]==> (a (((^y.y) a)((^z.z)((^x1.x1) a)))) 10. ==[ alpha ]==> (a (((^x.x) a)((^y.y)((^z.z) a)))) 11. ==[ beta ]==> (a (a ((^y.y)((^z.z) a)))) 12. ==[ alpha ]==> (a (a ((^x.x)((^y.y) a)))) 13. ==[ beta ]==> (a (a ((^y.y) a))) 14. ==[ alpha ]==> (a (a ((^x.x) a))) 15. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 132757/13613634. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 132758/13614630. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 132759/13615092. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 132760/13615767. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (a a))((^x.x)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.z)) 5. ==[ beta ]==> (((a (a a))(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 132761/13615899. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^z.(a a))(^x1.(^y1.y1)))((^z.(a a))(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(a a))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> (((a a)((^x1.(a a))(^y1.(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> (((a a)((^x.(a a))(^y.(^z.z))))(^x1.x1)) 7. ==[ beta ]==> (((a a)(a a))(^x1.x1)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 132762/13616415. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 132763/13616655. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)((a a)(^z.z)))) 3. ==[ eta ]==> (b ((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 132764/13617018. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(a b))(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 132765/13617204. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))(a b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 132766/13617306. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 132767/13617492. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((^x1.(x1 x1))(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.z))) 5. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 132768/13618095. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132769/13618098. ------ 1. ==[ start ]==> ((a (^b.b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 132770/13618410. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 132771/13618584. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 132772/13619052. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 132773/13619277. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 132774/13620222. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.((a a) a))) REDUCED to normal form. ------ 132775/13620489. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(c (^z.(z z)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 132776/13621050. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 132777/13621275. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 132778/13621356. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^z.a)) REDUCED to normal form. ------ 132779/13621437. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.a))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.a))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 132780/13621572. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(a (^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(a (^z.z)))) 6. ==[ alpha ]==> ((b a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 132781/13621650. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(b (^a.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(b (^x1.x1))) 3. ==[ eta ]==> ((^y.(^z.z))(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132782/13621743. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(z z))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(z z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 132783/13621782. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 132784/13621809. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^y.y))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 132785/13621836. ------ 1. ==[ start ]==> ((a b)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 132786/13621872. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (b (^z.z)))) REDUCED to normal form. ------ 132787/13621926. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((b (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((b (^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132788/13621953. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 132789/13621980. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(b ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 132790/13622007. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 132791/13622034. ------ 1. ==[ start ]==> ((a (^b.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.a))((b a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))((b a)(^y.y))) REDUCED to normal form. ------ 132792/13622115. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.a)((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.a)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 132793/13622142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 132794/13622196. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> (a ((a (a a))(a (^y.(^z.z))))) 6. ==[ alpha ]==> (a ((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 132795/13622223. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 132796/13622277. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)(b (^y.y)))) REDUCED to normal form. ------ 132797/13622367. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) b)(^z.a))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(^z.a))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.a))) 5. ==[ beta ]==> ((a a)(b (^y.a))) 6. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 132798/13622376. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y) a)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x) a)) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 132799/13622448. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 132800/13622475. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a))(^y.b))) 3. ==[ beta ]==> (((a (a a)) a)((a a)(^y.b))) 4. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.b))) REDUCED to normal form. ------ 132801/13622502. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(^y.(a a)))) REDUCED to normal form. ------ 132802/13622529. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 132803/13622583. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 132804/13622619. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)((^y.y) b))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 132805/13622646. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 132806/13622673. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(b (^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x)))(b (^z.z))) 6. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 132807/13622691. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)((b (^y.y)) a)) 3. ==[ beta ]==> ((b b)((b (^y.y)) a)) 4. ==[ alpha ]==> ((b b)((b (^x.x)) a)) REDUCED to normal form. ------ 132808/13623195. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 132809/13623249. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b)(a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b)(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b)(a b))) 5. ==[ beta ]==> (a ((a b)(a b))) REDUCED to normal form. ------ 132810/13623330. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))(b a))) 3. ==[ beta ]==> (((a a) a)((a (a a))(b a))) REDUCED to normal form. ------ 132811/13623357. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 132812/13623411. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a a)((a a)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a a)((a a)(a a)))) 7. ==[ beta ]==> ((a a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 132813/13623447. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a))(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a))(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132814/13623474. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 132815/13623510. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 132816/13623591. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a))((a a) a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))((a a) a))) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 132817/13623618. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)(a b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(a b))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(a b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(a b))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 132818/13623663. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 132819/13623672. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 132820/13623825. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) b) b)) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) b) b)) 3. ==[ beta ]==> ((((a a) a) b)(b b)) REDUCED to normal form. ------ 132821/13623852. ------ 1. ==[ start ]==> (((a b) a)((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a b) a)((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 132822/13624077. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 132823/13624104. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 132824/13624275. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 132825/13624302. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((a a) a))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 132826/13624356. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(a a)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2)(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 9. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 11. ==[ beta ]==> ((^y.y)(a a)) 12. ==[ alpha ]==> ((^x.x)(a a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 132827/13624437. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 132828/13624500. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 132829/13624527. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 132830/13624581. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 132831/13624608. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((((^y.y)(a a))(^z.(^x1.x1)))(((^y.y)(a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 9. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 10. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 11. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 12. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 132832/13624635. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 132833/13624662. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(^z.b))) REDUCED to normal form. ------ 132834/13624689. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(a a))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 132835/13624725. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 132836/13624752. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 132837/13624779. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 132838/13624806. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)((^z.z) b))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.z) b)) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) b)) 7. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 132839/13624833. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 132840/13624860. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 132841/13624878. ------ 1. ==[ start ]==> (((^a.b) c)((b a) c)) 2. ==[ alpha ]==> (((^x.b) c)((b a) c)) 3. ==[ beta ]==> (b ((b a) c)) REDUCED to normal form. ------ 132842/13624941. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 132843/13625112. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 132844/13625148. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y) a)) 3. ==[ beta ]==> (((a a) b)((^y.y) a)) 4. ==[ alpha ]==> (((a a) b)((^x.x) a)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 132845/13625175. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 132846/13625193. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(a (^y.y)))) REDUCED to normal form. ------ 132847/13625220. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 132848/13625229. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 132849/13625274. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a b)(^y.y))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((a b)(^x.x))) REDUCED to normal form. ------ 132850/13625355. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (b ((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 132851/13625454. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 132852/13625481. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 132853/13625562. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a (a a)))) 7. ==[ beta ]==> ((^y.y)((^z.(a a))(a (a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 9. ==[ beta ]==> ((^y.(a a))(a (a a))) 10. ==[ alpha ]==> ((^x.(a a))(a (a a))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 132854/13625589. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 132855/13625616. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a b) a)((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a b) a)((^x.a)((a a) a))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 132856/13625643. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 132857/13625670. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((((a a)(^x.x))(a a))((a a)(a a))) REDUCED to normal form. ------ 132858/13625697. ------ 1. ==[ start ]==> ((a (b a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 132859/13626057. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a b)(a b))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a b)(a b))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 132860/13626066. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 132861/13626120. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 132862/13626138. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (b (((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (b ((a a)((^y.y) a))) 6. ==[ alpha ]==> (b ((a a)((^x.x) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 132863/13626246. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(a b))) REDUCED to normal form. ------ 132864/13626345. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a b))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 132865/13626426. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 132866/13626453. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)(a (a a)))) 5. ==[ beta ]==> (((a a) a)((^y.b)(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(a (a a)))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 132867/13626525. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (a a))(^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132868/13626534. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(a b))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a b)(a b))) REDUCED to normal form. ------ 132869/13626867. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 132870/13626921. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a)(^z.z))(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a)(^y.y))(a a))) 7. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(a a))) 8. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 132871/13626930. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 132872/13626957. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(a a)) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a)) c)) 5. ==[ beta ]==> ((^y.b)((^z.(a a)) c)) 6. ==[ alpha ]==> ((^x.b)((^y.(a a)) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 132873/13627002. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 132874/13627110. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132875/13627137. ------ 1. ==[ start ]==> ((a (^b.b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 132876/13627182. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 132877/13627209. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 132878/13627236. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.b)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 132879/13627263. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((a b)((^y.a)(a (a a)))) 6. ==[ alpha ]==> ((a b)((^x.a)(a (a a)))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 132880/13627290. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 132881/13627317. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))((a a) a))) 5. ==[ beta ]==> (((a b)(^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 132882/13627344. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.a)(a b))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.a)(a b))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(a b))) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 132883/13627371. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 132884/13627416. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132885/13627452. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 132886/13627623. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (b (b ((^z.z)(a a)))) 4. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 132887/13627731. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((a a) a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132888/13627740. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.a) d)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a) d)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 132889/13627785. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (a a))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b ((a (a a))((^x.x)(^y.y)))) 7. ==[ beta ]==> (b ((a (a a))(^y.y))) 8. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 132890/13627812. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((a a) a)) 6. ==[ alpha ]==> (((^x.x) a)((a a) a)) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 132891/13627866. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 132892/13627902. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a))(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a))(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 132893/13627929. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 132894/13627956. ------ 1. ==[ start ]==> (((a b)(^c.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 132895/13627983. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(x1 x1))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 132896/13628010. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 132897/13628064. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1))(^z1.b))) REDUCED to normal form. ------ 132898/13628091. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((b (^y.y))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((b (^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 132899/13628127. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a) b)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.y))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 132900/13628154. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) b) REDUCED to normal form. ------ 132901/13628181. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (b a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 132902/13628208. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 132903/13628235. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 10. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 132904/13628262. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 132905/13628289. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 132906/13628316. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(a a))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 132907/13628487. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a a) a)) 6. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 132908/13628766. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) b) b)(((a a) a) b)) 3. ==[ beta ]==> ((b b)(((a a) a) b)) REDUCED to normal form. ------ 132909/13628892. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b ((a a) a))) 3. ==[ beta ]==> (((b a)(b a))(b ((a a) a))) REDUCED to normal form. ------ 132910/13628955. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^c.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 132911/13628973. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 132912/13628982. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 132913/13629081. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132914/13629117. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 132915/13629144. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 132916/13629180. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a a)((a a)(a a)))(a ((^y.y) a))) 6. ==[ alpha ]==> (((a a)((a a)(a a)))(a ((^x.x) a))) 7. ==[ beta ]==> (((a a)((a a)(a a)))(a a)) REDUCED to normal form. ------ 132917/13629207. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 132918/13629234. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 132919/13629261. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x)((a a) a))) 3. ==[ beta ]==> (((a (a a))(b a))((a a) a)) REDUCED to normal form. ------ 132920/13629315. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 132921/13629342. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 132922/13629369. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 132923/13629396. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 132924/13629531. ------ 1. ==[ start ]==> ((a (b (^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(c (^y.(y y)))) REDUCED to normal form. ------ 132925/13629873. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y)) a)) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 132926/13629918. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((b (^x.x))(a (a (^z.z)))) 6. ==[ alpha ]==> ((b (^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 132927/13629945. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 132928/13630008. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 132929/13630089. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 132930/13630116. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (a a)) a)) 3. ==[ beta ]==> (((a a)(^y.b))((a (a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.b))((a (a a)) a)) REDUCED to normal form. ------ 132931/13630188. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132932/13630224. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(z z)) a)) 3. ==[ beta ]==> ((b (^y.a))((^z.(z z)) a)) 4. ==[ alpha ]==> ((b (^x.a))((^y.(y y)) a)) 5. ==[ beta ]==> ((b (^x.a))(a a)) REDUCED to normal form. ------ 132933/13630251. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 132934/13630314. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 132935/13630341. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a))) a) REDUCED to normal form. ------ 132936/13630368. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 132937/13630395. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z) a)) 5. ==[ beta ]==> (((a (a a))(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 132938/13630422. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(^z.z))) 5. ==[ beta ]==> ((b a)((^y.a)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.a)(^y.y))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 132939/13630449. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 132940/13630476. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a b)(a a))(^y.a)) 6. ==[ alpha ]==> (((a b)(a a))(^x.a)) REDUCED to normal form. ------ 132941/13630503. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(c (^y.y))) 3. ==[ beta ]==> (((a a)(a b))(c (^y.y))) 4. ==[ alpha ]==> (((a a)(a b))(c (^x.x))) REDUCED to normal form. ------ 132942/13630530. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 132943/13630584. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 132944/13630611. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((b a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((b a)(a (^y.y))) 8. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 132945/13630638. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 132946/13630692. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(b (^a.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(b (^z.z))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 132947/13630782. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 132948/13639875. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132949/13639995. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> (((^x.(^y.y)) a)(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132950/13640460. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> ((((^y.y) b)(^z.a))((((^y.y) b)(^z.a))(((^y.y) b)(^z.a)))) 4. ==[ alpha ]==> ((((^x.x) b)(^y.a))((((^z.z) b)(^x1.a))(((^y1.y1) b)(^z1.a)))) 5. ==[ beta ]==> ((b (^y.a))((((^z.z) b)(^x1.a))(((^y1.y1) b)(^z1.a)))) 6. ==[ alpha ]==> ((b (^x.a))((((^y.y) b)(^z.a))(((^x1.x1) b)(^y1.a)))) 7. ==[ beta ]==> ((b (^x.a))((b (^z.a))(((^x1.x1) b)(^y1.a)))) 8. ==[ alpha ]==> ((b (^x.a))((b (^y.a))(((^z.z) b)(^x1.a)))) 9. ==[ beta ]==> ((b (^x.a))((b (^y.a))(b (^x1.a)))) 10. ==[ alpha ]==> ((b (^x.a))((b (^y.a))(b (^z.a)))) REDUCED to normal form. ------ 132951/13640685. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132952/13640811. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132953/13641507. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((a a)(a a)))) REDUCED to normal form. ------ 132954/13641576. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 132955/13641756. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(^y1.y1))) b) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1))) b) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1))) b) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) b) 7. ==[ beta ]==> ((^y.(^z.z)) b) 8. ==[ alpha ]==> ((^x.(^y.y)) b) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132956/13643208. ------ 1. ==[ start ]==> (((a b) c)(^d.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 132957/13643235. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a) b)(^y.((^z.z) b))) 4. ==[ alpha ]==> (((a a) b)(^x.((^y.y) b))) 5. ==[ beta ]==> (((a a) b)(^x.b)) REDUCED to normal form. ------ 132958/13643781. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ eta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 132959/13644144. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 132960/13644153. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 132961/13644618. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (a a))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x1.b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 132962/13644711. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(z a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(z a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(z a))) 5. ==[ beta ]==> ((a a)(^z.(z a))) 6. ==[ alpha ]==> ((a a)(^x.(x a))) REDUCED to normal form. ------ 132963/13645221. ------ 1. ==[ start ]==> ((^a.(^b.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132964/13645536. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 132965/13646817. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(a y1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(^x1.a)) a) 4. ==[ beta ]==> ((^y.(^z.z)) a) 5. ==[ alpha ]==> ((^x.(^y.y)) a) 6. ==[ beta ]==> (^y.y) 7. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132966/13647177. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.((a a) a))) REDUCED to normal form. ------ 132967/13647348. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.a))) REDUCED to normal form. ------ 132968/13647933. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(a (a a)))) 3. ==[ beta ]==> ((b c)(^y.(a (a a)))) 4. ==[ alpha ]==> ((b c)(^x.(a (a a)))) REDUCED to normal form. ------ 132969/13647960. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 132970/13648068. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 132971/13648086. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 132972/13648311. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(z (z z)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(z (z z)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(y (y y)))) REDUCED to normal form. ------ 132973/13648563. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^c.c)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.y)) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 132974/13648698. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 132975/13648776. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(^y1.y1)) a)) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132976/13648869. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132977/13648926. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 132978/13648953. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 132979/13648980. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 132980/13649016. ------ 1. ==[ start ]==> (((^a.a) b)(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(b (b (^y.y)))) 3. ==[ beta ]==> (b (b (b (^y.y)))) 4. ==[ alpha ]==> (b (b (b (^x.x)))) REDUCED to normal form. ------ 132981/13649043. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((^y.y)(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 132982/13649070. ------ 1. ==[ start ]==> (((a a) b)((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a a) b)((b (^x.x))(a a))) REDUCED to normal form. ------ 132983/13649097. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 132984/13649124. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 132985/13649151. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1)))(a (a a)))) REDUCED to normal form. ------ 132986/13649205. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 132987/13649286. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 132988/13649313. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(b a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(b a))) 5. ==[ beta ]==> ((a a)((^y.y)(b a))) 6. ==[ alpha ]==> ((a a)((^x.x)(b a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 132989/13649340. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 132990/13649367. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a ((^y1.y1) b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.x1) b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 132991/13649394. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 132992/13649457. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b (^z.z))(^x1.x1))) REDUCED to normal form. ------ 132993/13649484. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(((a a)(a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 132994/13649511. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) b)(^y.a))) 3. ==[ beta ]==> ((a (a (a a)))(b (^y.a))) 4. ==[ alpha ]==> ((a (a (a a)))(b (^x.a))) REDUCED to normal form. ------ 132995/13649520. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((^y.y)((^z.z) a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> (((^y.y) a)((^z.z)((^x1.x1) a))) 8. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z) a))) 9. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 10. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 11. ==[ beta ]==> (a ((^y.y) a)) 12. ==[ alpha ]==> (a ((^x.x) a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 132996/13649547. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.(^z1.z1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 132997/13649628. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(a b))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 132998/13649655. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 132999/13649709. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(b a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 133000/13649736. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (^x1.(^y1.y1)))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 133001/13649754. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (^y.y))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 133002/13649835. ------ 1. ==[ start ]==> (((a (a a))(a a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a a))((b (^x.x)) a)) REDUCED to normal form. ------ 133003/13649862. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a)) b)) REDUCED to normal form. ------ 133004/13649871. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133005/13649898. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 133006/13650006. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.b))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 7. ==[ beta ]==> ((^y.(a a))(^z.b)) 8. ==[ alpha ]==> ((^x.(a a))(^y.b)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133007/13650033. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 133008/13650267. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z) c)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z) c)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y) c)) 5. ==[ beta ]==> ((a a)((^y.y) c)) 6. ==[ alpha ]==> ((a a)((^x.x) c)) 7. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 133009/13650420. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (b (((a a) a)((^y.y)(a a)))) 6. ==[ alpha ]==> (b (((a a) a)((^x.x)(a a)))) 7. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 133010/13650447. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((((a a) a) a)((a a)(^y.y))) 6. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.x))) REDUCED to normal form. ------ 133011/13650501. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 133012/13650528. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a (^x.(x x)))((a (^y.y)) b)) REDUCED to normal form. ------ 133013/13650546. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (^z.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b (^z.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(b (^z.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.(a a)))) 7. ==[ beta ]==> ((a a)(b (^y.(a a)))) 8. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 133014/13650555. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 133015/13650627. ------ 1. ==[ start ]==> ((a (^a.b))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.b))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.y))) REDUCED to normal form. ------ 133016/13650645. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 133017/13650672. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(^z.(z z)))) REDUCED to normal form. ------ 133018/13650699. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 133019/13650753. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.b))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.b))) REDUCED to normal form. ------ 133020/13650780. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 133021/13650807. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 133022/13650816. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 133023/13650897. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1) b))) IRREDUCIBLE: cycle. ------ 133024/13650978. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 133025/13651005. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 133026/13651086. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 133027/13651167. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133028/13651320. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z) b)) 5. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 133029/13651365. ------ 1. ==[ start ]==> (((^a.b) b)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)((b a)((^y.y) a))) 3. ==[ beta ]==> (b ((b a)((^y.y) a))) 4. ==[ alpha ]==> (b ((b a)((^x.x) a))) 5. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 133030/13651572. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (c (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 133031/13651581. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 133032/13651608. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a a)((^y.y) b))) 3. ==[ beta ]==> (((a a) a)((a a)((^y.y) b))) 4. ==[ alpha ]==> (((a a) a)((a a)((^x.x) b))) 5. ==[ beta ]==> (((a a) a)((a a) b)) REDUCED to normal form. ------ 133033/13651653. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133034/13651788. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b)((a a) a))) 3. ==[ beta ]==> (b ((^z.b)((a a) a))) 4. ==[ alpha ]==> (b ((^x.b)((a a) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 133035/13651914. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 133036/13651941. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 133037/13651968. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z) b) a)) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) b) a)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) b) a)) 5. ==[ beta ]==> ((a (a a))(((^y.y) b) a)) 6. ==[ alpha ]==> ((a (a a))(((^x.x) b) a)) 7. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 133038/13651995. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 133039/13652022. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((b a) c)) REDUCED to normal form. ------ 133040/13652112. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 133041/13652247. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133042/13652256. ------ 1. ==[ start ]==> (((a b) c)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 133043/13652283. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a ((^y.y) b))) 3. ==[ beta ]==> (((a a) b)(a ((^y.y) b))) 4. ==[ alpha ]==> (((a a) b)(a ((^x.x) b))) 5. ==[ beta ]==> (((a a) b)(a b)) REDUCED to normal form. ------ 133044/13652310. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 133045/13652364. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 133046/13652391. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> ((a (^x.b))((a a)(a (a a)))) REDUCED to normal form. ------ 133047/13652445. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133048/13652472. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(a b))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(a b))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a b)) REDUCED to normal form. ------ 133049/13652499. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))((a (a a))(a a))) REDUCED to normal form. ------ 133050/13652526. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 133051/13652553. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(b a))) REDUCED to normal form. ------ 133052/13652616. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 133053/13652643. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 133054/13652670. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 133055/13652697. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 9. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 10. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 11. ==[ beta ]==> ((a a)(^y.(y y))) 12. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 133056/13652724. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 133057/13652751. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a b) a)(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((a b) a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 133058/13652778. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^x1.b))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.b))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(^z.b)) 8. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 133059/13652805. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 133060/13652832. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 133061/13652922. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(^z1.z1))) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 133062/13653003. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 133063/13653111. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((b a)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((b a)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 133064/13653138. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 133065/13653174. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b (b a))) 3. ==[ beta ]==> ((a (^y.(a a)))(b (b a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (b a))) REDUCED to normal form. ------ 133066/13653192. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a b)(a b))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 133067/13653201. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 133068/13653255. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 133069/13653282. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 133070/13653309. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a b)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((a b)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a b)(a (a a)))) REDUCED to normal form. ------ 133071/13653336. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 133072/13653507. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((b a)(^z.z))) 3. ==[ beta ]==> (((^y.y)((a a) a))((b a)(^z.z))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((b a)(^y.y))) 5. ==[ beta ]==> (((a a) a)((b a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((b a)(^x.x))) REDUCED to normal form. ------ 133073/13653534. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 133074/13653561. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a b)(a (a a)))((a a)(^y.a))) 4. ==[ alpha ]==> (((a b)(a (a a)))((a a)(^x.a))) REDUCED to normal form. ------ 133075/13653588. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a b)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)((a b)(^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 133076/13653615. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 133077/13653669. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(^z.b))) REDUCED to normal form. ------ 133078/13653678. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(a b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133079/13653759. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(b a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(b a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(b a))) 5. ==[ beta ]==> ((a a)((^z.z)(b a))) 6. ==[ alpha ]==> ((a a)((^x.x)(b a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 133080/13653840. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (b ((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 133081/13653948. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(y1 y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133082/13653975. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 133083/13654002. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133084/13654065. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 133085/13654092. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(a (^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 133086/13654146. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 133087/13654173. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 133088/13654200. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a))((a a) a))) REDUCED to normal form. ------ 133089/13654254. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 133090/13654272. ------ 1. ==[ start ]==> ((a (^b.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 133091/13654317. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 133092/13654344. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 133093/13654371. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a b)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a a))((a b)(^y.a))) 4. ==[ alpha ]==> (((a (a a))(a a))((a b)(^x.a))) REDUCED to normal form. ------ 133094/13654398. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a b))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(((a a) a)(^y.(y y)))) 6. ==[ alpha ]==> ((a b)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 133095/13654425. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 133096/13654452. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> (((a b)(^y.y))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 133097/13654479. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)(^y.b))) 5. ==[ beta ]==> (((a a)(a (a a)))(a (^y.b))) 6. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.b))) REDUCED to normal form. ------ 133098/13654506. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 133099/13654560. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 133100/13654587. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a b)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((a b)((a a) b)) REDUCED to normal form. ------ 133101/13654596. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133102/13654623. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.b)(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^z1.b)(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 133103/13654758. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133104/13654875. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(((a a) a) a)) REDUCED to normal form. ------ 133105/13654902. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> ((b a)((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((b a)((^x.x)(a (a a)))) 7. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 133106/13654929. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 133107/13654956. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a ((a a) a))) REDUCED to normal form. ------ 133108/13655001. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b (^z.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 133109/13655082. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 133110/13655190. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133111/13655262. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a)) a)) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(a a)) a)) 5. ==[ beta ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 133112/13655289. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a b) b)) REDUCED to normal form. ------ 133113/13655316. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((a a) a) c)) 3. ==[ beta ]==> ((a (b a))(((a a) a) c)) REDUCED to normal form. ------ 133114/13655478. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 133115/13655622. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(c (^x1.a))) 3. ==[ beta ]==> ((^y.y)(c (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 133116/13655757. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133117/13655865. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.y1)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133118/13655946. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 133119/13655973. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 7. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 133120/13656027. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 133121/13656090. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 133122/13656117. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a b)(^x.b))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 133123/13656171. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a (a a)))) REDUCED to normal form. ------ 133124/13656216. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(b (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133125/13656225. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a)((a a) a))) REDUCED to normal form. ------ 133126/13656315. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (a a))(^x.a))) REDUCED to normal form. ------ 133127/13656342. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x)) b)(a (^z.(z z)))) 6. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(y y)))) REDUCED to normal form. ------ 133128/13656369. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 133129/13656396. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((a a)(^x.a))) REDUCED to normal form. ------ 133130/13656423. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((a a) a) a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a) a)) 5. ==[ beta ]==> (((a a)(^y.y))(((a a) a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 133131/13656450. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.y) b)) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.x) b)) 7. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 133132/13656477. ------ 1. ==[ start ]==> (((a b)(a b))((a (a a)) c)) REDUCED to normal form. ------ 133133/13656612. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 133134/13656756. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133135/13656837. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133136/13656945. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133137/13656981. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(b (a (a a)))) 3. ==[ beta ]==> ((b c)(b (a (a a)))) REDUCED to normal form. ------ 133138/13657008. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(a (^y.y))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(a (^x.x))) REDUCED to normal form. ------ 133139/13657116. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 133140/13657134. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 133141/13657215. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133142/13657323. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133143/13657332. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(b a)) REDUCED to normal form. ------ 133144/13657359. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(a (a (a a)))) 3. ==[ beta ]==> ((b (^y.a))(a (a (a a)))) 4. ==[ alpha ]==> ((b (^x.a))(a (a (a a)))) REDUCED to normal form. ------ 133145/13657386. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 133146/13657476. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a (^y.y))) REDUCED to normal form. ------ 133147/13657503. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 133148/13657530. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a a)(^z.a))) REDUCED to normal form. ------ 133149/13657557. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(((^z.z) a) a)) 3. ==[ beta ]==> (((^y.y)(b a))(((^z.z) a) a)) 4. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a) a)) 5. ==[ beta ]==> ((b a)(((^y.y) a) a)) 6. ==[ alpha ]==> ((b a)(((^x.x) a) a)) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 133150/13657584. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 133151/13657611. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a a) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a a) c)) 3. ==[ beta ]==> (((a b)(a a))((a a) c)) REDUCED to normal form. ------ 133152/13657638. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.a) a)) 3. ==[ beta ]==> (((a a)(a b))((^y.a) a)) 4. ==[ alpha ]==> (((a a)(a b))((^x.a) a)) 5. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 133153/13657665. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 133154/13657719. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 133155/13657746. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 133156/13657773. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 133157/13657827. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 133158/13657917. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133159/13658100. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> ((^x.(x (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^z.(^x1.x1))(^y.y)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133160/13666875. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(x1 (^y1.y1)))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133161/13667154. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a ((^z.(^x1.x1)) a))(^y.y)) 4. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.z)) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 133162/13667157. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 133163/13667343. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(a a))(a b))) 3. ==[ eta ]==> ((^y.y)(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (((^y.y)(a a))(a b)) 6. ==[ alpha ]==> (((^x.x)(a a))(a b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 133164/13667838. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133165/13667931. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(y (^z.z)))) 3. ==[ beta ]==> ((b b)(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((b b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 133166/13668318. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(b (^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(b (^z.z)))) 6. ==[ alpha ]==> ((a a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 133167/13668396. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((((a (^y.(^z.z)))((^x1.x1) a))((a (^y.(^z.z)))((^x1.x1) a)))((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a (^x.(^y.y)))((^z.z) a))((a (^x1.(^y1.y1)))((^z1.z1) a)))((a (^x2.(^y2.y2)))((^z2.z2) a))) 5. ==[ beta ]==> ((((a (^x.(^y.y))) a)((a (^x1.(^y1.y1)))((^z1.z1) a)))((a (^x2.(^y2.y2)))((^z2.z2) a))) 6. ==[ alpha ]==> ((((a (^x.(^y.y))) a)((a (^z.(^x1.x1)))((^y1.y1) a)))((a (^z1.(^x2.x2)))((^y2.y2) a))) 7. ==[ beta ]==> ((((a (^x.(^y.y))) a)((a (^z.(^x1.x1))) a))((a (^z1.(^x2.x2)))((^y2.y2) a))) 8. ==[ alpha ]==> ((((a (^x.(^y.y))) a)((a (^z.(^x1.x1))) a))((a (^y1.(^z1.z1)))((^x2.x2) a))) 9. ==[ beta ]==> ((((a (^x.(^y.y))) a)((a (^z.(^x1.x1))) a))((a (^y1.(^z1.z1))) a)) REDUCED to normal form. ------ 133168/13668729. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 133169/13669398. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((x x)(x x)))) REDUCED to normal form. ------ 133170/13669503. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((((a a)(^z.z))(a (a a)))(((a a)(^z.z))(a (a a))))) 4. ==[ alpha ]==> ((^x.x)((((a a)(^y.y))(a (a a)))(((a a)(^z.z))(a (a a))))) 5. ==[ beta ]==> ((((a a)(^y.y))(a (a a)))(((a a)(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 133171/13669740. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 133172/13670388. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.z))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 133173/13671306. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 133174/13671585. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(b a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(b a))) REDUCED to normal form. ------ 133175/13671864. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.a))) 5. ==[ beta ]==> ((a a)(^z.(^x1.a))) 6. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 133176/13672656. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133177/13673142. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133178/13673583. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^y.(y y))) REDUCED to normal form. ------ 133179/13673688. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((((a (a a))(a (a a)))((a (a a))(a (a a))))(((a (a a))(a (a a)))((a (a a))(a (a a))))) REDUCED to normal form. ------ 133180/13673970. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133181/13674357. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 133182/13674690. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((z z) z))) REDUCED to normal form. ------ 133183/13674768. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133184/13675113. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 133185/13675248. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 133186/13675356. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(a (a a)))) REDUCED to normal form. ------ 133187/13675464. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 133188/13675554. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^y.a)) REDUCED to normal form. ------ 133189/13675743. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x)(a a))(a b))(^z.z)) 4. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.y)) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 133190/13675929. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(a (a (^x1.x1)))) 3. ==[ eta ]==> ((^y.(^z.z))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133191/13675932. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 133192/13676022. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^c.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.a)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 133193/13676097. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 133194/13676124. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 133195/13676151. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 133196/13676187. ------ 1. ==[ start ]==> (((a a)(a a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(b (b (^x.x)))) REDUCED to normal form. ------ 133197/13676214. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 133198/13676349. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((b a)(^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((b a)(^y.y))) REDUCED to normal form. ------ 133199/13676376. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 133200/13676403. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(a b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a b))) 5. ==[ beta ]==> ((a a)((a a)(a b))) REDUCED to normal form. ------ 133201/13676592. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(b (^y.y)))) 3. ==[ beta ]==> (((a a) a)((a a)(b (^y.y)))) 4. ==[ alpha ]==> (((a a) a)((a a)(b (^x.x)))) REDUCED to normal form. ------ 133202/13676682. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) b)(^z.a))) 5. ==[ beta ]==> ((((^y.y) b)(^z.a))(((^y.y) b)(^z.a))) 6. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z) b)(^x1.a))) 7. ==[ beta ]==> ((b (^y.a))(((^z.z) b)(^x1.a))) 8. ==[ alpha ]==> ((b (^x.a))(((^y.y) b)(^z.a))) 9. ==[ beta ]==> ((b (^x.a))(b (^z.a))) 10. ==[ alpha ]==> ((b (^x.a))(b (^y.a))) REDUCED to normal form. ------ 133203/13676709. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 133204/13676790. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.b))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.b))) REDUCED to normal form. ------ 133205/13676799. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(a b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 133206/13676817. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 133207/13676826. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 133208/13676880. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 133209/13676898. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 133210/13676988. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((b b)((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> ((b b)((^x.x)(b (^y.y)))) 5. ==[ beta ]==> ((b b)(b (^y.y))) 6. ==[ alpha ]==> ((b b)(b (^x.x))) REDUCED to normal form. ------ 133211/13677033. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133212/13677060. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) b) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 5. ==[ beta ]==> (((^y.y) b) c) 6. ==[ alpha ]==> (((^x.x) b) c) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 133213/13677177. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 133214/13677204. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 133215/13677231. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 133216/13677285. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133217/13677348. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b ((a a)(a a)))) REDUCED to normal form. ------ 133218/13677375. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (b (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) a))(a (b (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a (b (^y.y)))) 5. ==[ beta ]==> ((a a)(a (b (^y.y)))) 6. ==[ alpha ]==> ((a a)(a (b (^x.x)))) REDUCED to normal form. ------ 133219/13677402. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 133220/13677429. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> ((a a)(((^y.y) b)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(b (a (^y.y)))) 8. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 133221/13677456. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> ((a ((a a) a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 133222/13677717. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.(a a)))) REDUCED to normal form. ------ 133223/13677789. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 133224/13677960. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 133225/13677978. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 133226/13678059. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.x1))) IRREDUCIBLE: cycle. ------ 133227/13678122. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 133228/13678140. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) b) b)) 3. ==[ beta ]==> (b (((^z.z) b) b)) 4. ==[ alpha ]==> (b (((^x.x) b) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 133229/13678149. ------ 1. ==[ start ]==> (((a b) a)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 133230/13678167. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.(^z.z))) c)) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z))) c)) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 133231/13678176. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 133232/13678230. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 133233/13678257. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 133234/13678284. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((^y.a)((^z.b)(^x1.b))) 6. ==[ alpha ]==> ((^x.a)((^y.b)(^z.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 133235/13678338. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 133236/13678428. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b ((^x1.x1) b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b ((^z.z) b))) 5. ==[ beta ]==> ((a (^y.y))(b ((^z.z) b))) 6. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) b))) 7. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 133237/13678455. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(a ((a a)(a a)))) REDUCED to normal form. ------ 133238/13678482. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) b)(a a))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) b)(a a))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(a a))) 7. ==[ beta ]==> (a (((^y.y) b)(a a))) 8. ==[ alpha ]==> (a (((^x.x) b)(a a))) 9. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 133239/13678509. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 133240/13678536. ------ 1. ==[ start ]==> (((a b)(a a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))((b a)((^x.x) a))) 3. ==[ beta ]==> (((a b)(a a))((b a) a)) REDUCED to normal form. ------ 133241/13678563. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 133242/13678743. ------ 1. ==[ start ]==> (((a b) b)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)(c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 133243/13678770. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b (^y.y))) 3. ==[ beta ]==> (((a a) a)(b (^y.y))) 4. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 133244/13678797. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 133245/13678815. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.z))) 5. ==[ beta ]==> (((^y.y) b)(^z.z)) 6. ==[ alpha ]==> (((^x.x) b)(^y.y)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133246/13678824. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 133247/13678869. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((b a)(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((b a)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a)(^y1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a)(^y1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(^x1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((b a)(^x1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.a))) 9. ==[ beta ]==> ((^y.y)((b a)(^z.a))) 10. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 11. ==[ beta ]==> ((b a)(^y.a)) 12. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 133248/13678932. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 133249/13678950. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a b)(^z.a))) 3. ==[ beta ]==> (b ((a b)(^z.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 133250/13678959. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 133251/13679175. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 133252/13679418. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 133253/13679445. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 133254/13679490. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 133255/13679751. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 133256/13680084. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.(^x1.x1))) a)) 5. ==[ beta ]==> (b ((a (^z.(^x1.x1))) a)) 6. ==[ alpha ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 133257/13680228. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 133258/13680363. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 133259/13680435. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (b ((^y.(^z.z)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133260/13680561. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))(a b))) REDUCED to normal form. ------ 133261/13680588. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (a a))) REDUCED to normal form. ------ 133262/13680615. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 133263/13680642. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(b a))) REDUCED to normal form. ------ 133264/13680822. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133265/13680840. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (a a))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133266/13681002. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a)) c)) 3. ==[ beta ]==> (b (((^x1.x1)(a a)) c)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) c)) 5. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 133267/13681119. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 133268/13681146. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 133269/13681452. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 133270/13681713. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133271/13681758. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a)) b) 6. ==[ alpha ]==> (((^x.x)(a a)) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 133272/13681785. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a b) c)) 3. ==[ beta ]==> ((^y.y)((a b) c)) 4. ==[ alpha ]==> ((^x.x)((a b) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 133273/13682028. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133274/13682199. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133275/13682226. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 133276/13682244. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 133277/13682253. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 133278/13682280. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 133279/13682307. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 133280/13682361. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 133281/13682388. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 133282/13682586. ------ 1. ==[ start ]==> (((a b)((a a) a))(c ((a a) a))) REDUCED to normal form. ------ 133283/13682613. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(b (a b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(b (a b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (a b))) 5. ==[ beta ]==> (((a a)(^y.y))(b (a b))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (a b))) REDUCED to normal form. ------ 133284/13682640. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a (a a))) REDUCED to normal form. ------ 133285/13682694. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((a a) a)(a (^x1.x1)))) REDUCED to normal form. ------ 133286/13682721. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b (a a))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b (a a))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b (a a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((b (a a))((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((b (a a))((^y.y) a)) 8. ==[ alpha ]==> ((b (a a))((^x.x) a)) 9. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 133287/13682748. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 133288/13682919. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 133289/13683027. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a a)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133290/13683063. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.b)(^z.z))) 3. ==[ beta ]==> ((b b)((^y.b)(^z.z))) 4. ==[ alpha ]==> ((b b)((^x.b)(^y.y))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 133291/13683144. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 133292/13683171. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 133293/13683270. ------ 1. ==[ start ]==> (((^a.b)(a b))((^c.a) b)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a) b)) 3. ==[ beta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 133294/13683387. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b (^x1.a))) REDUCED to normal form. ------ 133295/13683414. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(a (^x1.b))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 133296/13683747. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a ((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a ((a a) a))) REDUCED to normal form. ------ 133297/13683774. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((b (a (^x.x)))((^z.z)(a a))) 6. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(a a))) 7. ==[ beta ]==> ((b (a (^x.x)))(a a)) REDUCED to normal form. ------ 133298/13683801. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 133299/13683828. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a (b (^x.x)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a (b (^x.x)))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (b (^x.x)))(a a)) REDUCED to normal form. ------ 133300/13683918. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2)(^y2.y2))(^z2.z2))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2)(^y2.y2))(^z2.z2))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133301/13683999. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 133302/13684143. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b c)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b c)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 133303/13684170. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 133304/13684215. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z)) b)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y)) b)) 5. ==[ beta ]==> ((b (^x.x))(b b)) REDUCED to normal form. ------ 133305/13684242. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.a) c)) 3. ==[ beta ]==> ((^y.y)((^z.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 133306/13684278. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 133307/13684305. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 133308/13684377. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 133309/13684386. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 133310/13684413. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.b))(a (a a))) REDUCED to normal form. ------ 133311/13684494. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 133312/13684521. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((b (^x.a))(^z.(z z))) 6. ==[ alpha ]==> ((b (^x.a))(^y.(y y))) REDUCED to normal form. ------ 133313/13684611. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))((a a) a)) REDUCED to normal form. ------ 133314/13684665. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(c b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(c b)) 3. ==[ beta ]==> ((a ((^y.y) b))(c b)) 4. ==[ alpha ]==> ((a ((^x.x) b))(c b)) 5. ==[ beta ]==> ((a b)(c b)) REDUCED to normal form. ------ 133315/13684692. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(b c)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(b c)) REDUCED to normal form. ------ 133316/13684773. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(b (a (^y.y)))) 3. ==[ beta ]==> (((a b)(a a))(b (a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a a))(b (a (^x.x)))) REDUCED to normal form. ------ 133317/13684800. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(a ((^y.y) a))) 3. ==[ beta ]==> (((a a)(a b))(a ((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a b))(a ((^x.x) a))) 5. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 133318/13684827. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (^y.y))(a a))) REDUCED to normal form. ------ 133319/13684908. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(b b)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(b b)) 3. ==[ beta ]==> ((b ((^y.y) a))(b b)) 4. ==[ alpha ]==> ((b ((^x.x) a))(b b)) 5. ==[ beta ]==> ((b a)(b b)) REDUCED to normal form. ------ 133320/13684989. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(a (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 133321/13685079. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 5. ==[ beta ]==> ((^y.y)((a a) a)) 6. ==[ alpha ]==> ((^x.x)((a a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 133322/13694046. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133323/13694226. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.(^z1.z1))))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3))))) 5. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3))))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133324/13694253. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 133325/13694346. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.(^z1.z1)) x1))) 3. ==[ eta ]==> (((^x.x)(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133326/13694451. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 133327/13694694. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 133328/13695111. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 133329/13695120. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 133330/13696089. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.a)((^z.z)(a a))) b) 4. ==[ alpha ]==> (((^x.a)((^y.y)(a a))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 133331/13696578. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.(a a)))) REDUCED to normal form. ------ 133332/13697253. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.z)) 5. ==[ beta ]==> (((^y.y)(a (a a)))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.y)) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 133333/13697901. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 133334/13698114. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))((^z.z)(a a)))) 3. ==[ eta ]==> (b ((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (b (((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (b ((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 133335/13698663. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))((a a) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 133336/13698792. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 133337/13698951. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^x1.(^y1.y1))((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133338/13699341. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(b z))) 3. ==[ eta ]==> (((^x.(x x))((^y.y)(a a))) b) 4. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a))) b) 5. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a))) b) 6. ==[ beta ]==> (((a a)((^y.y)(a a))) b) 7. ==[ alpha ]==> (((a a)((^x.x)(a a))) b) 8. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 133339/13699554. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133340/13699836. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133341/13699845. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 133342/13699869. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 133343/13700547. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) b)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) b)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 133344/13700763. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 133345/13701708. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 133346/13701870. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.a))) REDUCED to normal form. ------ 133347/13702536. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 133348/13702644. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^c.d)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.d)) 3. ==[ beta ]==> ((b (^y.a))(^z.d)) 4. ==[ alpha ]==> ((b (^x.a))(^y.d)) REDUCED to normal form. ------ 133349/13702761. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 133350/13702842. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.((^z.z) a))) 5. ==[ beta ]==> ((b a)(^y.((^z.z) a))) 6. ==[ alpha ]==> ((b a)(^x.((^y.y) a))) 7. ==[ beta ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 133351/13702923. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.a))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.a))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 133352/13703004. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^x1.z))) REDUCED to normal form. ------ 133353/13703058. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 133354/13703109. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133355/13703112. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 133356/13703202. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 133357/13703295. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 133358/13703322. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((a b)((^y.y)(^y.y))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 133359/13703412. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133360/13703439. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((b (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(a a))) 5. ==[ beta ]==> ((b (^y.y))(a a)) 6. ==[ alpha ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 133361/13703466. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 133362/13703493. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 133363/13703520. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 133364/13703601. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 133365/13703628. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 133366/13703682. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(b a))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(b a))) 7. ==[ beta ]==> (a ((^y.y)(b a))) 8. ==[ alpha ]==> (a ((^x.x)(b a))) 9. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 133367/13703709. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (a a))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 133368/13703763. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 133369/13703853. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(((a a)(a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 133370/13703934. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 133371/13703988. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.b))) REDUCED to normal form. ------ 133372/13704015. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)(^z.(a a)))) REDUCED to normal form. ------ 133373/13704105. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 133374/13704132. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 133375/13704159. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 133376/13704186. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(b (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))(b (^y.y))) 4. ==[ alpha ]==> (((a (a a))(a a))(b (^x.x))) REDUCED to normal form. ------ 133377/13704510. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 133378/13704681. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (a a)))) 5. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 133379/13704735. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> (a (((^z.z)(a a))((a a) a))) 6. ==[ alpha ]==> (a (((^x.x)(a a))((a a) a))) 7. ==[ beta ]==> (a ((a a)((a a) a))) REDUCED to normal form. ------ 133380/13704816. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 133381/13704843. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (a a))(b a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(b a))) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 133382/13704897. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))((^z.z) b))) 7. ==[ beta ]==> ((a a)((a (^y.y))((^z.z) b))) 8. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y) b))) 9. ==[ beta ]==> ((a a)((a (^x.x)) b)) REDUCED to normal form. ------ 133383/13704960. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 133384/13704996. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a))(a (^y.y))) 4. ==[ alpha ]==> (((a a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 133385/13705023. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 133386/13705104. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((a a) a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 133387/13705131. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b)(a b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)(a b))) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 133388/13705149. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 133389/13705158. ------ 1. ==[ start ]==> ((a (a b))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 133390/13705311. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(a a)) a)) REDUCED to normal form. ------ 133391/13705338. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) b) b)) 2. ==[ alpha ]==> (((a b) a)(((^x.x) b) b)) 3. ==[ beta ]==> (((a b) a)(b b)) REDUCED to normal form. ------ 133392/13705365. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.(^z.z))) c)) REDUCED to normal form. ------ 133393/13705590. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 133394/13705617. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 133395/13705716. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) c)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) c)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 133396/13705761. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))(((a a)(^y.y))(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133397/13705788. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 133398/13705842. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(a b))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(a b))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(a b))) 7. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 133399/13705923. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> (b (((^x1.x1) a)(b a))) 4. ==[ alpha ]==> (b (((^x.x) a)(b a))) 5. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 133400/13705977. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)((^z.z) b))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)((^y.y) b))) 5. ==[ beta ]==> ((a a)((a a)((^y.y) b))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x) b))) 7. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 133401/13706013. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (^z.z))) REDUCED to normal form. ------ 133402/13706067. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a)(^z.a))) REDUCED to normal form. ------ 133403/13706094. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((((a a)(^y.y))(^z.(z z)))(((a a)(^y.y))(^z.(z z)))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 133404/13706121. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 133405/13706148. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 133406/13706175. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a) a)(^z.b))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.b))) REDUCED to normal form. ------ 133407/13706211. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 133408/13706238. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 133409/13706265. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)(b a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)(b a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)(b a))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 133410/13706292. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 133411/13706319. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)((^z.z) b))) 5. ==[ beta ]==> ((a (a a))((^y.y)((^z.z) b))) 6. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y) b))) 7. ==[ beta ]==> ((a (a a))((^y.y) b)) 8. ==[ alpha ]==> ((a (a a))((^x.x) b)) 9. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 133412/13706346. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 133413/13706364. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (b ((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 133414/13706373. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 133415/13706598. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c (b a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (b a))) 3. ==[ beta ]==> (b (c (b a))) REDUCED to normal form. ------ 133416/13706661. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 133417/13706679. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 133418/13706706. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 133419/13706742. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) d)) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 133420/13706760. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(a (a a)))) REDUCED to normal form. ------ 133421/13706841. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (b ((^y.y)(a b))) 6. ==[ alpha ]==> (b ((^x.x)(a b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 133422/13706940. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 133423/13706967. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a (^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 133424/13706994. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 133425/13707075. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 133426/13707102. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 133427/13707156. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 133428/13707183. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (b a))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (b a))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (b a))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> ((a (b a))((a a)(a a))) REDUCED to normal form. ------ 133429/13707543. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b (b a))) 3. ==[ beta ]==> (((a b)(a b))(b (b a))) REDUCED to normal form. ------ 133430/13707624. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 133431/13707633. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 133432/13707732. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 133433/13707858. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 133434/13707912. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 133435/13707939. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 133436/13707966. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 133437/13708020. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 133438/13708353. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(c ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y)(a a)))) 5. ==[ beta ]==> (c ((^y.y)(a a))) 6. ==[ alpha ]==> (c ((^x.x)(a a))) 7. ==[ beta ]==> (c (a a)) REDUCED to normal form. ------ 133439/13708407. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a (b a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a (b a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a (b a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a (b a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (b a))) 7. ==[ beta ]==> (((a a)(a a))(a (b a))) REDUCED to normal form. ------ 133440/13708443. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 133441/13708488. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (b ((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a b)((^x.x) a))) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 133442/13708596. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133443/13708623. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 133444/13708641. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 133445/13708722. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 133446/13708749. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((a b)((^y.b)((^z.z) a))) 6. ==[ alpha ]==> ((a b)((^x.b)((^y.y) a))) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 133447/13708803. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 133448/13708830. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))((a a) a))) 5. ==[ beta ]==> (((a a)(a (a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 133449/13708857. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(a b))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 133450/13708902. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133451/13708911. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)(^z.z))) REDUCED to normal form. ------ 133452/13708938. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 133453/13709109. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 133454/13709217. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a b)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133455/13709226. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.b) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 133456/13709253. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a) d)) 3. ==[ beta ]==> ((b a)((^y.a) d)) 4. ==[ alpha ]==> ((b a)((^x.a) d)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 133457/13709271. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(a (a a)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (a a)))) 7. ==[ beta ]==> (b ((^y.y)(a (a a)))) 8. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 9. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 133458/13709298. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 133459/13709352. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 133460/13709415. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 133461/13709442. ------ 1. ==[ start ]==> (((a b)(^c.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 133462/13709469. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 133463/13709496. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(z z))) REDUCED to normal form. ------ 133464/13709577. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 133465/13709613. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) b)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) b)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 133466/13709640. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a a)) REDUCED to normal form. ------ 133467/13709667. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 133468/13709721. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 133469/13709748. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 133470/13709775. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 133471/13709802. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 133472/13709829. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.(a a))) REDUCED to normal form. ------ 133473/13709973. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 7. ==[ beta ]==> (a ((^y.y)(^z.z))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 133474/13710252. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a b) a)) 2. ==[ alpha ]==> ((((^x.x) b) b)((a b) a)) 3. ==[ beta ]==> ((b b)((a b) a)) REDUCED to normal form. ------ 133475/13710279. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((a a) a) b)) REDUCED to normal form. ------ 133476/13710378. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((b a)(b a))(c (^y.y))) 6. ==[ alpha ]==> (((b a)(b a))(c (^x.x))) REDUCED to normal form. ------ 133477/13710441. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.b) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) b) REDUCED to normal form. ------ 133478/13710459. ------ 1. ==[ start ]==> (((^a.b)(a b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a b))(((a a) a)(a a))) 3. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 133479/13710468. ------ 1. ==[ start ]==> (((a b)(^a.b))((^c.a) b)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a) b)) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 133480/13710567. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133481/13710630. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 133482/13710666. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 133483/13710693. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((a (^x.x)) b)(a ((^z.z) a))) 8. ==[ alpha ]==> (((a (^x.x)) b)(a ((^y.y) a))) 9. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 133484/13710720. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 133485/13710747. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 133486/13710774. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a) a))) 7. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 133487/13710828. ------ 1. ==[ start ]==> (((a b)(a b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 133488/13710855. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a a)((a a) a))((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(^y.a))) 7. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 133489/13710882. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 133490/13711188. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(c d)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 133491/13711332. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (^a.a)) d)) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (^y.y)) d)) 3. ==[ beta ]==> ((b c)((a (^y.y)) d)) 4. ==[ alpha ]==> ((b c)((a (^x.x)) d)) REDUCED to normal form. ------ 133492/13711404. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (a a))(a a))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))(a a))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 133493/13711431. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 133494/13711485. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a a)(a (a a)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a)(a (a a)))) REDUCED to normal form. ------ 133495/13711566. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(c c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 133496/13711575. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 133497/13711602. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.b))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.(y y)))) REDUCED to normal form. ------ 133498/13711737. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 133499/13711800. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 133500/13711827. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a (^y.(y y)))) REDUCED to normal form. ------ 133501/13711854. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.a)(a a))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.a)(a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(a a))) 5. ==[ beta ]==> ((a b)((^y.a)(a a))) 6. ==[ alpha ]==> ((a b)((^x.a)(a a))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 133502/13711881. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 133503/13711908. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((b a)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((b a)((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((b a)((^y.y) a)) 8. ==[ alpha ]==> ((b a)((^x.x) a)) 9. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 133504/13711935. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x))) a) REDUCED to normal form. ------ 133505/13711962. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 133506/13711989. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a)(a b))(^y.a)) 6. ==[ alpha ]==> (((a a)(a b))(^x.a)) REDUCED to normal form. ------ 133507/13712070. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a (^z.a))) REDUCED to normal form. ------ 133508/13712097. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(a a))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(a a))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 133509/13712124. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 133510/13712178. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 133511/13712268. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(a b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(a b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 133512/13721496. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133513/13721562. ------ 1. ==[ start ]==> (((a a) b)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.(^z.z)) x))) 3. ==[ eta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 133514/13722000. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(^y.(^z.z)))((((a a)(a a))(^y.(^z.z)))(((a a)(a a))(^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((((a a)(a a))(^z.(^x1.x1)))(((a a)(a a))(^y1.(^z1.z1))))) REDUCED to normal form. ------ 133515/13722225. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133516/13722351. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((b (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133517/13722783. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.b) c)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y) c)) 3. ==[ beta ]==> ((((^y.y) c)((^y.y) c))((^y.y) c)) 4. ==[ alpha ]==> ((((^x.x) c)((^y.y) c))((^z.z) c)) 5. ==[ beta ]==> ((c ((^y.y) c))((^z.z) c)) 6. ==[ alpha ]==> ((c ((^x.x) c))((^y.y) c)) 7. ==[ beta ]==> ((c c)((^y.y) c)) 8. ==[ alpha ]==> ((c c)((^x.x) c)) 9. ==[ beta ]==> ((c c) c) REDUCED to normal form. ------ 133518/13723116. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 133519/13723296. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.(a a))) b) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a))) b) REDUCED to normal form. ------ 133520/13723683. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.(^z1.z1)))((^z.(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (^x.((^z.z)((^z1.(^x2.x2))(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133521/13724127. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 133522/13724145. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 133523/13724802. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((^z.z) b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^y.b)) REDUCED to normal form. ------ 133524/13725321. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (a a))(^y.(a a)))) 3. ==[ eta ]==> (b ((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 133525/13725414. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^z.(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 133526/13726557. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(b y))) 3. ==[ eta ]==> (((a (a a))(^x.(a a))) b) REDUCED to normal form. ------ 133527/13726761. ------ 1. ==[ start ]==> ((^a.(^b.b))(c (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133528/13727076. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 133529/13727529. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.((^z.z)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133530/13727754. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 133531/13728582. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(y b))) REDUCED to normal form. ------ 133532/13728744. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 133533/13729155. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(z z)) c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133534/13729878. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 133535/13730049. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.a))) 5. ==[ beta ]==> ((b a)(^y.(^z.a))) 6. ==[ alpha ]==> ((b a)(^x.(^y.a))) REDUCED to normal form. ------ 133536/13730130. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^c.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.y)) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 133537/13730211. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^b.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.c)) REDUCED to normal form. ------ 133538/13730316. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a a) b)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a a) b)) 3. ==[ eta ]==> ((^y.(^z.z))((a a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133539/13730409. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 133540/13730520. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133541/13730547. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 133542/13730574. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 133543/13730583. ------ 1. ==[ start ]==> (((^a.a) b)(c ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(c ((a a)(a a)))) 3. ==[ beta ]==> (b (c ((a a)(a a)))) REDUCED to normal form. ------ 133544/13730610. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b (b (^z.z)))) 3. ==[ beta ]==> ((^y.y)(b (b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b (b (^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 133545/13730637. ------ 1. ==[ start ]==> (((a a) b)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a) b)(a ((^x.(^y.y)) a))) 3. ==[ beta ]==> (((a a) b)(a (^y.y))) 4. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 133546/13730664. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((b (^y.y))(a a))) REDUCED to normal form. ------ 133547/13730691. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(a a))(a (^z.z)))) REDUCED to normal form. ------ 133548/13730718. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 133549/13730772. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 133550/13730853. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a b)(a a))) REDUCED to normal form. ------ 133551/13730880. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a a)(((a a) a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((a a)(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 133552/13730907. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(b a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(b a))) 5. ==[ beta ]==> (((a a)(^x.a))(b a)) REDUCED to normal form. ------ 133553/13730934. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 133554/13730961. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.x))(a ((^z.z) b))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) b))) 7. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 133555/13731051. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((b (^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a a))((b (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a (a a))((b (^x.x))(^y.y))) REDUCED to normal form. ------ 133556/13731078. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 133557/13731114. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 133558/13731222. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(a a))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133559/13731303. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 133560/13731321. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 133561/13731348. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 133562/13731429. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b (^z.z)) a)) 3. ==[ beta ]==> ((a (^y.y))((b (^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.x))((b (^y.y)) a)) REDUCED to normal form. ------ 133563/13731519. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133564/13731600. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133565/13731861. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.b) c)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x) c)) 3. ==[ beta ]==> ((a ((a a) a)) c) REDUCED to normal form. ------ 133566/13731987. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b)(a b))) 3. ==[ beta ]==> (((^y.y) b)((a b)(a b))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 133567/13732014. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(((a a) a)(a a))) REDUCED to normal form. ------ 133568/13732068. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(b a))) REDUCED to normal form. ------ 133569/13732095. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 133570/13732122. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a (^y.y)) b)) REDUCED to normal form. ------ 133571/13732149. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)((a a)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133572/13732194. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 133573/13732212. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 133574/13732239. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1)))(^y1.a))) REDUCED to normal form. ------ 133575/13732266. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((b a)(^y.(y y)))) 3. ==[ beta ]==> ((a (a (a a)))((b a)(^y.(y y)))) 4. ==[ alpha ]==> ((a (a (a a)))((b a)(^x.(x x)))) REDUCED to normal form. ------ 133576/13732293. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 133577/13732347. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a b)(^x.b))) REDUCED to normal form. ------ 133578/13732374. ------ 1. ==[ start ]==> ((a (a b))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 133579/13732383. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 133580/13732464. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(a (^x1.(^y1.y1))))) IRREDUCIBLE: cycle. ------ 133581/13732545. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 133582/13732572. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 133583/13732599. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133584/13732734. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 133585/13732761. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 133586/13732914. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y) b)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 133587/13732932. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 133588/13732941. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.(^z.z))) c)) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 133589/13733148. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)(b a))) 3. ==[ beta ]==> (((a b) b)(a (b a))) REDUCED to normal form. ------ 133590/13733175. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 133591/13733193. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (^z.z))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.z))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.y))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 133592/13733202. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a) b)) REDUCED to normal form. ------ 133593/13733220. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 133594/13733274. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 13. ==[ beta ]==> (^y.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133595/13733355. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 133596/13733427. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(a a))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 133597/13733454. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 133598/13733508. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 133599/13733535. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)(^y.y))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 133600/13733562. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) b) a)) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) b) a)) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) b) a)) 5. ==[ beta ]==> ((((a a) a) a)(b a)) REDUCED to normal form. ------ 133601/13733589. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 133602/13733616. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((b a) c)) 3. ==[ beta ]==> (((a a)(a a))((b a) c)) REDUCED to normal form. ------ 133603/13733679. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133604/13733823. ------ 1. ==[ start ]==> (((a b) c)(c (b a))) REDUCED to normal form. ------ 133605/13733850. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) b)(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a) b)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 133606/13733877. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a ((^a.a) b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((^y.y) b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a b)) REDUCED to normal form. ------ 133607/13733931. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 133608/13733958. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.b))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.b))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 133609/13734012. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133610/13734039. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 133611/13734066. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(a b))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(a b))) 5. ==[ beta ]==> (((a b)(^x.a))(a b)) REDUCED to normal form. ------ 133612/13734093. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 133613/13734120. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 133614/13734210. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a (a b))((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((a (a b))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 133615/13734237. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 133616/13734264. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.a))) 7. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.a))) 8. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 9. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 133617/13734291. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((a a)(^x.(x x)))) REDUCED to normal form. ------ 133618/13734318. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 133619/13734372. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^z.b))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.b)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.b)) REDUCED to normal form. ------ 133620/13734399. ------ 1. ==[ start ]==> ((a (b a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 133621/13734489. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (b ((^z.z)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.(^z.z))))) 7. ==[ beta ]==> (b (a (^y.(^z.z)))) 8. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 133622/13734570. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133623/13734678. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 133624/13734705. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133625/13734741. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.(a a)))(c ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 133626/13734768. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b (b a))) REDUCED to normal form. ------ 133627/13734822. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((b a)(a a))) REDUCED to normal form. ------ 133628/13734849. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 133629/13734876. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.a))((a a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.a))((a a)((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.a))((a a) a)) REDUCED to normal form. ------ 133630/13734903. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b)(a (a a)))) REDUCED to normal form. ------ 133631/13735101. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((b a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((b a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 133632/13735128. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 133633/13735155. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.a))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.a))) REDUCED to normal form. ------ 133634/13735182. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 133635/13735245. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133636/13735326. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 133637/13735407. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133638/13735515. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133639/13735542. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.b)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.b))) 7. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 133640/13735569. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 133641/13735632. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (b a))) REDUCED to normal form. ------ 133642/13735659. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> ((^y.b)(((a a)(^z.z))(a a))) 6. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 133643/13735713. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 133644/13735740. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 133645/13735767. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 133646/13735821. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (a b))) REDUCED to normal form. ------ 133647/13735839. ------ 1. ==[ start ]==> ((a (^b.b))(c (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(c (^y.(a a)))) REDUCED to normal form. ------ 133648/13735911. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 133649/13735938. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a a))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 133650/13735965. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a b))((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a b)(^y.a))) 5. ==[ beta ]==> ((a b)((a b)(^y.a))) 6. ==[ alpha ]==> ((a b)((a b)(^x.a))) REDUCED to normal form. ------ 133651/13735992. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 133652/13736019. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 133653/13736073. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.b))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.b))) REDUCED to normal form. ------ 133654/13736154. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))(((a a)(^y.y)) a)) 3. ==[ beta ]==> ((a b)(((a a)(^y.y)) a)) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 133655/13736163. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133656/13736190. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(a a))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(a a))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133657/13736325. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.b))) 3. ==[ beta ]==> (b ((^z.a)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 133658/13736442. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a b)(a (^z.z)))) REDUCED to normal form. ------ 133659/13736469. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((b a)(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> ((b a)(((a a) a)((^x.x) a))) 5. ==[ beta ]==> ((b a)(((a a) a) a)) REDUCED to normal form. ------ 133660/13736496. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 133661/13736523. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (a a))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (a a))(^y1.y1))) REDUCED to normal form. ------ 133662/13736604. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(a a))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.(a a))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133663/13736649. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(a a))(a a))) 3. ==[ beta ]==> (b ((^y.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 133664/13736757. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133665/13736829. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a)(^y.(a a)))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 133666/13736856. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 133667/13736883. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a b) b)) 3. ==[ beta ]==> ((a (b a))((a b) b)) REDUCED to normal form. ------ 133668/13737099. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) b) REDUCED to normal form. ------ 133669/13737126. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a) c)) 3. ==[ beta ]==> ((b (a a))((^y.a) c)) 4. ==[ alpha ]==> ((b (a a))((^x.a) c)) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 133670/13737324. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 133671/13737432. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133672/13737540. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133673/13737594. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 133674/13737657. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (a b))) REDUCED to normal form. ------ 133675/13737684. ------ 1. ==[ start ]==> (((a b)(^a.b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))(((a a) a)(a a))) REDUCED to normal form. ------ 133676/13737738. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a)) a)) REDUCED to normal form. ------ 133677/13737792. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 133678/13737819. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a a)((a a) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a a)((a a) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 133679/13737882. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)((a a)(a a)))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.y))) REDUCED to normal form. ------ 133680/13737909. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (a a))(^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(^y.a))) REDUCED to normal form. ------ 133681/13737936. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(z z)))) REDUCED to normal form. ------ 133682/13737963. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 133683/13738017. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((a a) a) a)) 3. ==[ beta ]==> ((((a a) a)(a a))(((a a) a) a)) REDUCED to normal form. ------ 133684/13738044. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> (((a b)(a b))((^y.y) b)) 4. ==[ alpha ]==> (((a b)(a b))((^x.x) b)) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 133685/13738179. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a) a)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a) a)) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 133686/13738206. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 133687/13738233. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(y y)) c)) 3. ==[ beta ]==> ((a (b (^x.x)))(c c)) REDUCED to normal form. ------ 133688/13738404. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 133689/13738512. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133690/13738548. ------ 1. ==[ start ]==> ((((^a.a) b) c)(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(c ((^y.y) a))) 3. ==[ beta ]==> ((b c)(c ((^y.y) a))) 4. ==[ alpha ]==> ((b c)(c ((^x.x) a))) 5. ==[ beta ]==> ((b c)(c a)) REDUCED to normal form. ------ 133691/13738575. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(b (a (a a)))) REDUCED to normal form. ------ 133692/13738683. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 133693/13738701. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b (^y1.(y1 y1)))) REDUCED to normal form. ------ 133694/13738710. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a a)(a (a a)))) REDUCED to normal form. ------ 133695/13738782. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 133696/13738791. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(c c)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(c c)) REDUCED to normal form. ------ 133697/13738890. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133698/13738926. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(b ((^z.z) a))) 3. ==[ beta ]==> ((b (^y.a))(b ((^z.z) a))) 4. ==[ alpha ]==> ((b (^x.a))(b ((^y.y) a))) 5. ==[ beta ]==> ((b (^x.a))(b a)) REDUCED to normal form. ------ 133699/13738953. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 133700/13739016. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 133701/13739070. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) b))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(^z.z))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.y))) 7. ==[ beta ]==> ((a b)(a (^y.y))) 8. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 133702/13739097. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 133703/13739124. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(b a))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(b a))((a a)(^y.a))) 5. ==[ beta ]==> ((b a)((a a)(^y.a))) 6. ==[ alpha ]==> ((b a)((a a)(^x.a))) REDUCED to normal form. ------ 133704/13739151. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(((^y.y) a) a)) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 133705/13739178. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (^y.y)) b)) 3. ==[ beta ]==> (((a b)(a a))((a (^y.y)) b)) 4. ==[ alpha ]==> (((a b)(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 133706/13739205. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a a) c)) 3. ==[ beta ]==> (((a a)(a b))((a a) c)) REDUCED to normal form. ------ 133707/13739232. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a)) a) REDUCED to normal form. ------ 133708/13739313. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b ((^y.y) a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((b a)((a (^y.y))(^z.z))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 133709/13739340. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 133710/13739394. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a a) b)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a a) b)) 3. ==[ beta ]==> ((a (^y.y))((a a) b)) 4. ==[ alpha ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 133711/13739484. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133712/13748775. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (b (^z.z)))) 3. ==[ beta ]==> ((b (b (^z.z)))(^y.y)) 4. ==[ alpha ]==> ((b (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 133713/13748964. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(^z.z))((a a) a))) 3. ==[ eta ]==> ((^y.y)(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 133714/13749966. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(b (^z.z)))) REDUCED to normal form. ------ 133715/13750017. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((((^y.y) b)(a (^z.z)))(((^y.y) b)(a (^z.z))))(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> (((((^x.x) b)(a (^y.y)))(((^z.z) b)(a (^x1.x1))))(((^y1.y1) b)(a (^z1.z1)))) 5. ==[ beta ]==> (((b (a (^y.y)))(((^z.z) b)(a (^x1.x1))))(((^y1.y1) b)(a (^z1.z1)))) 6. ==[ alpha ]==> (((b (a (^x.x)))(((^y.y) b)(a (^z.z))))(((^x1.x1) b)(a (^y1.y1)))) 7. ==[ beta ]==> (((b (a (^x.x)))(b (a (^z.z))))(((^x1.x1) b)(a (^y1.y1)))) 8. ==[ alpha ]==> (((b (a (^x.x)))(b (a (^y.y))))(((^z.z) b)(a (^x1.x1)))) 9. ==[ beta ]==> (((b (a (^x.x)))(b (a (^y.y))))(b (a (^x1.x1)))) 10. ==[ alpha ]==> (((b (a (^x.x)))(b (a (^y.y))))(b (a (^z.z)))) REDUCED to normal form. ------ 133716/13750350. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 133717/13750686. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 133718/13751046. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((z z)(z z)))) 5. ==[ beta ]==> (((^y.y) a)(^z.((z z)(z z)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.((y y)(y y)))) 7. ==[ beta ]==> (a (^y.((y y)(y y)))) 8. ==[ alpha ]==> (a (^x.((x x)(x x)))) REDUCED to normal form. ------ 133719/13751124. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((b a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(((b a)((^z.z) a))((b a)((^z.z) a)))) 4. ==[ alpha ]==> ((^x.x)(((b a)((^y.y) a))((b a)((^z.z) a)))) 5. ==[ beta ]==> (((b a)((^y.y) a))((b a)((^z.z) a))) 6. ==[ alpha ]==> (((b a)((^x.x) a))((b a)((^y.y) a))) 7. ==[ beta ]==> (((b a) a)((b a)((^y.y) a))) 8. ==[ alpha ]==> (((b a) a)((b a)((^x.x) a))) 9. ==[ beta ]==> (((b a) a)((b a) a)) REDUCED to normal form. ------ 133720/13751388. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 133721/13752036. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 133722/13752648. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (b (^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 133723/13754043. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 133724/13754790. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 133725/13755309. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((((^y.y)(^z.z))((^x1.x1) a))(((^y.y)(^z.z))((^x1.x1) a)))((((^y.y)(^z.z))((^x1.x1) a))(((^y.y)(^z.z))((^x1.x1) a)))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a)))((((^x2.x2)(^y2.y2))((^z2.z2) a))(((^x3.x3)(^y3.y3))((^z3.z3) a)))) 5. ==[ beta ]==> ((((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a)))((((^x2.x2)(^y2.y2))((^z2.z2) a))(((^x3.x3)(^y3.y3))((^z3.z3) a)))) 6. ==[ alpha ]==> ((((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a)))((((^z1.z1)(^x2.x2))((^y2.y2) a))(((^z2.z2)(^x3.x3))((^y3.y3) a)))) 7. ==[ beta ]==> ((((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1) a)))((((^z1.z1)(^x2.x2))((^y2.y2) a))(((^z2.z2)(^x3.x3))((^y3.y3) a)))) 8. ==[ alpha ]==> ((((^x.x) a)(((^y.y)(^z.z))((^x1.x1) a)))((((^y1.y1)(^z1.z1))((^x2.x2) a))(((^y2.y2)(^z2.z2))((^x3.x3) a)))) 9. ==[ beta ]==> ((a (((^y.y)(^z.z))((^x1.x1) a)))((((^y1.y1)(^z1.z1))((^x2.x2) a))(((^y2.y2)(^z2.z2))((^x3.x3) a)))) 10. ==[ alpha ]==> ((a (((^x.x)(^y.y))((^z.z) a)))((((^x1.x1)(^y1.y1))((^z1.z1) a))(((^x2.x2)(^y2.y2))((^z2.z2) a)))) 11. ==[ beta ]==> ((a ((^y.y)((^z.z) a)))((((^x1.x1)(^y1.y1))((^z1.z1) a))(((^x2.x2)(^y2.y2))((^z2.z2) a)))) 12. ==[ alpha ]==> ((a ((^x.x)((^y.y) a)))((((^z.z)(^x1.x1))((^y1.y1) a))(((^z1.z1)(^x2.x2))((^y2.y2) a)))) 13. ==[ beta ]==> ((a ((^y.y) a))((((^z.z)(^x1.x1))((^y1.y1) a))(((^z1.z1)(^x2.x2))((^y2.y2) a)))) 14. ==[ alpha ]==> ((a ((^x.x) a))((((^y.y)(^z.z))((^x1.x1) a))(((^y1.y1)(^z1.z1))((^x2.x2) a)))) 15. ==[ beta ]==> ((a a)((((^y.y)(^z.z))((^x1.x1) a))(((^y1.y1)(^z1.z1))((^x2.x2) a)))) 16. ==[ alpha ]==> ((a a)((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a)))) 17. ==[ beta ]==> ((a a)(((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))((^z1.z1) a)))) 18. ==[ alpha ]==> ((a a)(((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1) a)))) 19. ==[ beta ]==> ((a a)(((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1) a)))) 20. ==[ alpha ]==> ((a a)(((^x.x) a)(((^y.y)(^z.z))((^x1.x1) a)))) 21. ==[ beta ]==> ((a a)(a (((^y.y)(^z.z))((^x1.x1) a)))) 22. ==[ alpha ]==> ((a a)(a (((^x.x)(^y.y))((^z.z) a)))) 23. ==[ beta ]==> ((a a)(a ((^y.y)((^z.z) a)))) 24. ==[ alpha ]==> ((a a)(a ((^x.x)((^y.y) a)))) 25. ==[ beta ]==> ((a a)(a ((^y.y) a))) 26. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 27. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 133726/13755627. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(a y))) 3. ==[ eta ]==> ((((^x.x) b) b) a) 4. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 133727/13755816. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 133728/13756005. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 133729/13756338. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.((z z) z))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.((y y) y))) REDUCED to normal form. ------ 133730/13756389. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133731/13757112. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 133732/13757391. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 133733/13757550. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(b (a a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(b (a a))) 3. ==[ eta ]==> ((^y.(^z.z))(b (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133734/13757643. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133735/13757772. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 133736/13757799. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 133737/13757826. ------ 1. ==[ start ]==> (((^a.a) b)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 133738/13757862. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (b (^y.y)))) REDUCED to normal form. ------ 133739/13757997. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 133740/13758024. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((b a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((b a)(^y.y))) REDUCED to normal form. ------ 133741/13758051. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))((a a) a))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 133742/13758240. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))((a a)(a a)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 133743/13758267. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(b (^z.z)))) REDUCED to normal form. ------ 133744/13758330. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a)(a a))(^y.(^z.z)))(((a a)(a a))(^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(((a a)(a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 133745/13758357. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((^y.y) b)(^z.a)) 6. ==[ alpha ]==> (((^x.x) b)(^y.a)) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 133746/13758393. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 133747/13758411. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(^y.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 133748/13758465. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 133749/13758474. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 133750/13758501. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 133751/13758636. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 133752/13758681. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((b (^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((b (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133753/13758708. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 133754/13758771. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 133755/13758825. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 133756/13758852. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 133757/13758879. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 133758/13759023. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(b ((a a)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b ((a a)(a a)))) 5. ==[ beta ]==> ((a a)(b ((a a)(a a)))) REDUCED to normal form. ------ 133759/13759050. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (b (^y.y)))) REDUCED to normal form. ------ 133760/13759077. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(a a))(a a))) 5. ==[ beta ]==> ((a a)(((a a)(a a))(a a))) REDUCED to normal form. ------ 133761/13759104. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a) a))(b (a (^y.y)))) 4. ==[ alpha ]==> ((a ((a a) a))(b (a (^x.x)))) REDUCED to normal form. ------ 133762/13759365. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (^y.y))) REDUCED to normal form. ------ 133763/13759392. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133764/13759437. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 133765/13759608. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.b) a)((^y.b)(a b))) 3. ==[ beta ]==> (b ((^y.b)(a b))) 4. ==[ alpha ]==> (b ((^x.b)(a b))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 133766/13759626. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.b)(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 133767/13759707. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) IRREDUCIBLE: cycle. ------ 133768/13759770. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)((a a)(a a)))) 3. ==[ beta ]==> ((((a a) a) b)((a a)(a a))) REDUCED to normal form. ------ 133769/13759788. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a)(a a)) a)) 3. ==[ beta ]==> (b (((a a)(a a)) a)) REDUCED to normal form. ------ 133770/13759797. ------ 1. ==[ start ]==> (((a b) a)((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b) a)((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 133771/13759815. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) b) b)) 3. ==[ beta ]==> ((a b)(((^y.y) b) b)) 4. ==[ alpha ]==> ((a b)(((^x.x) b) b)) 5. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 133772/13759824. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 133773/13759932. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 133774/13759959. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 133775/13759986. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 133776/13760103. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(b ((^x.x) b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b b)) REDUCED to normal form. ------ 133777/13760130. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(a ((a a)(a a)))) 5. ==[ beta ]==> (((^y.y) a)(a ((a a)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(a ((a a)(a a)))) 7. ==[ beta ]==> (a (a ((a a)(a a)))) REDUCED to normal form. ------ 133778/13760157. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(b (a a))) REDUCED to normal form. ------ 133779/13760184. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 133780/13760211. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((b a)((^y.y) a))) 3. ==[ beta ]==> ((a (a a))((b a)((^y.y) a))) 4. ==[ alpha ]==> ((a (a a))((b a)((^x.x) a))) 5. ==[ beta ]==> ((a (a a))((b a) a)) REDUCED to normal form. ------ 133781/13760445. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 133782/13760472. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.(a a)))) REDUCED to normal form. ------ 133783/13760517. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 133784/13760526. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 133785/13760580. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 133786/13760598. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 133787/13760607. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 133788/13760634. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 133789/13760823. ------ 1. ==[ start ]==> (((^a.b) c)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)(^z.z))) 3. ==[ beta ]==> (b ((^y.y)(^z.z))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133790/13761066. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(^d.a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 133791/13761093. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 133792/13761120. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 133793/13761138. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 133794/13761165. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133795/13761399. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))(b a))) REDUCED to normal form. ------ 133796/13761426. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 133797/13761732. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b ((a a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 133798/13761813. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a)(^z.z)) c)) 3. ==[ beta ]==> (b (((a a)(^z.z)) c)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) c)) REDUCED to normal form. ------ 133799/13761876. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 133800/13761984. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 133801/13762209. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)((a a) a))) 5. ==[ beta ]==> (((a a)(b a))((a a) a)) REDUCED to normal form. ------ 133802/13762236. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 133803/13762263. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))(a ((^y.y)(a a)))) 8. ==[ alpha ]==> ((a (a a))(a ((^x.x)(a a)))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 133804/13762290. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 133805/13762317. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)(b a))) 5. ==[ beta ]==> (((a a) a)((a a)(b a))) REDUCED to normal form. ------ 133806/13762569. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 133807/13762650. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> (b (((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) b)) REDUCED to normal form. ------ 133808/13762767. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 133809/13762794. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.b)(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.b)(^y1.b))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 133810/13762947. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> (b ((^x1.(a a)) c)) 4. ==[ alpha ]==> (b ((^x.(a a)) c)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 133811/13763100. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))(a a))) REDUCED to normal form. ------ 133812/13763127. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 133813/13763361. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133814/13763406. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(^y.y)) a) 6. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 133815/13763433. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a)) b) 6. ==[ alpha ]==> (((^x.x)(a a)) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 133816/13763676. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133817/13763730. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.a) d)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a) d)) 3. ==[ beta ]==> (((^y.y) b)((^z.a) d)) 4. ==[ alpha ]==> (((^x.x) b)((^y.a) d)) 5. ==[ beta ]==> (b ((^y.a) d)) 6. ==[ alpha ]==> (b ((^x.a) d)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 133818/13763847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(b (^z.(a a)))) 6. ==[ alpha ]==> ((^x.(a a))(b (^y.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133819/13763874. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 133820/13763892. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 133821/13763901. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 133822/13763928. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 133823/13764000. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133824/13764009. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^z1.z1)(^x2.x2))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1)((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1)(^x2.x2))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 9. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 10. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 133825/13764036. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)((a a) a))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)((a a) a))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 133826/13764288. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(b (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(b (a b))) REDUCED to normal form. ------ 133827/13764342. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a b)(a a))) REDUCED to normal form. ------ 133828/13764369. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> ((b (a a))(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> ((b (a a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 133829/13764396. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a ((a a)(a a)))((^y.y) a)) 6. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x) a)) 7. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 133830/13764567. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 133831/13764675. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133832/13764711. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.y)(a b))) 3. ==[ beta ]==> ((b b)((^y.y)(a b))) 4. ==[ alpha ]==> ((b b)((^x.x)(a b))) 5. ==[ beta ]==> ((b b)(a b)) REDUCED to normal form. ------ 133833/13764738. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.b)(^y.y))) 3. ==[ beta ]==> ((((a a)(a a)) a) b) REDUCED to normal form. ------ 133834/13764756. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((a a) a) b)) 3. ==[ beta ]==> (((a a)(a a))(((a a) a) b)) REDUCED to normal form. ------ 133835/13764783. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> (((^y.y)(^z.z)) c) 6. ==[ alpha ]==> (((^x.x)(^y.y)) c) 7. ==[ beta ]==> ((^y.y) c) 8. ==[ alpha ]==> ((^x.x) c) 9. ==[ beta ]==> c REDUCED to normal form. ------ 133836/13764792. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 133837/13764819. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.(y1 y1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(y1 y1)))) IRREDUCIBLE: cycle. ------ 133838/13764900. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.b)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 133839/13764918. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.b) a)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.b) a)) 3. ==[ beta ]==> (b ((^y.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 133840/13765035. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c (^x1.(^y1.y1)))) REDUCED to normal form. ------ 133841/13765062. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 133842/13765089. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (^y.b))) REDUCED to normal form. ------ 133843/13765395. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(b (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.z))) REDUCED to normal form. ------ 133844/13765422. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a ((a a) a))) 3. ==[ beta ]==> ((b (a (^y.y)))(a ((a a) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 133845/13765449. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)(a a))) 5. ==[ beta ]==> ((((a a)(a a))(a a))(a a)) REDUCED to normal form. ------ 133846/13765476. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 133847/13765647. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 133848/13765755. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133849/13765791. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a)(^z.a))) 3. ==[ beta ]==> ((b c)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b c)((^x.a)(^y.a))) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 133850/13765818. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 133851/13765863. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 133852/13765890. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(z z)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(z z)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 133853/13765926. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(c (^z.a))) 3. ==[ beta ]==> ((a (^y.y))(c (^z.a))) 4. ==[ alpha ]==> ((a (^x.x))(c (^y.a))) REDUCED to normal form. ------ 133854/13765953. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b (^x1.(x1 x1)))) REDUCED to normal form. ------ 133855/13766025. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 133856/13766034. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 133857/13766061. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 133858/13766133. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133859/13766142. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 133860/13766169. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 133861/13766196. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 133862/13766259. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 133863/13766286. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))((a a) a)) REDUCED to normal form. ------ 133864/13766367. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(b c)) 3. ==[ beta ]==> (((^y.y)(b a))(b c)) 4. ==[ alpha ]==> (((^x.x)(b a))(b c)) 5. ==[ beta ]==> ((b a)(b c)) REDUCED to normal form. ------ 133865/13766421. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(c (a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(c (a a))) 3. ==[ beta ]==> (((a b)(a a))(c (a a))) REDUCED to normal form. ------ 133866/13766448. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(b (a (^y.y)))) 3. ==[ beta ]==> (((a a)(a b))(b (a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a b))(b (a (^x.x)))) REDUCED to normal form. ------ 133867/13766475. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a ((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 133868/13766529. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 133869/13766556. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(c a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(c a)) 3. ==[ beta ]==> ((b ((^y.y) a))(c a)) 4. ==[ alpha ]==> ((b ((^x.x) a))(c a)) 5. ==[ beta ]==> ((b a)(c a)) REDUCED to normal form. ------ 133870/13766583. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(b b)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(b b)) REDUCED to normal form. ------ 133871/13766637. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(b (a a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(b (a a))) 3. ==[ beta ]==> ((a (^y.y))(b (a a))) 4. ==[ alpha ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 133872/13766727. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 133873/13766807. ------ 1. ==[ start ]==> (^a.((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 133874/13766808. ------ 1. ==[ start ]==> (a ((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 133875/13767756. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133876/13772481. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 133877/13775895. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a))) a) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z))) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 133878/13775901. ------ 1. ==[ start ]==> ((^a.a)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 133879/13775955. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 133880/13776075. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.(^z1.z1)) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.z))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 133881/13776153. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> (^x.(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (^x.(b ((^z.z) a))) 6. ==[ alpha ]==> (^x.(b ((^y.y) a))) 7. ==[ beta ]==> (^x.(b a)) REDUCED to normal form. ------ 133882/13776396. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 133883/13776846. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133884/13776849. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 133885/13777791. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)(a b))) 3. ==[ beta ]==> (((^y.b)(a b)) b) 4. ==[ alpha ]==> (((^x.b)(a b)) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 133886/13777947. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 133887/13778307. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(a a)))) 7. ==[ beta ]==> (a (^y.(^z.(a a)))) 8. ==[ alpha ]==> (a (^x.(^y.(a a)))) REDUCED to normal form. ------ 133888/13778640. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 133889/13778982. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a) a)((^x.x) a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.y)) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 133890/13779315. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z) b))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 133891/13779630. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 133892/13779816. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(a b))) 3. ==[ eta ]==> (b ((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133893/13780365. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 133894/13780521. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 133895/13781256. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133896/13781571. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 133897/13781574. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 133898/13782276. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(a a))) REDUCED to normal form. ------ 133899/13782888. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.b))) 3. ==[ beta ]==> ((b b)(^y.(^z.b))) 4. ==[ alpha ]==> ((b b)(^x.(^y.b))) REDUCED to normal form. ------ 133900/13783095. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.(a b))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(y b))) 3. ==[ beta ]==> (b (^y.(y b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 133901/13783437. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.((a a) a))) REDUCED to normal form. ------ 133902/13783599. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 133903/13784040. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 133904/13784490. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 133905/13784571. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 133906/13784652. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(^z.a))) REDUCED to normal form. ------ 133907/13784733. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.z))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.y))) 5. ==[ beta ]==> ((b a)(^y.(^z.y))) 6. ==[ alpha ]==> ((b a)(^x.(^y.x))) REDUCED to normal form. ------ 133908/13784811. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133909/13784985. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (b (^x1.x1)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 133910/13784997. ------ 1. ==[ start ]==> ((a a)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 133911/13785051. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 133912/13785105. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 133913/13785141. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (b (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133914/13785168. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a ((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 133915/13785195. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b (^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.y))((b (^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((b (^y.y))(a a))) REDUCED to normal form. ------ 133916/13785222. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 133917/13785249. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.a))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.a))(b ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.a))(b a)) REDUCED to normal form. ------ 133918/13785330. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.a)(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 133919/13785357. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(a b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (((^y.y)(a a))(a b)) 6. ==[ alpha ]==> (((^x.x)(a a))(a b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 133920/13785411. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> (a (((a a) a)((a a)(^y.y)))) 6. ==[ alpha ]==> (a (((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 133921/13785438. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 133922/13785492. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(x x)))(a ((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.y) b))) 5. ==[ beta ]==> ((a (^x.(x x)))(a b)) REDUCED to normal form. ------ 133923/13785582. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((b (^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)((b (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a a)((b (^x.x))(^y.y))) REDUCED to normal form. ------ 133924/13785663. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z)))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 133925/13785690. ------ 1. ==[ start ]==> (((a (a a)) a)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 133926/13785744. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.b))) REDUCED to normal form. ------ 133927/13785771. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(a a)))) REDUCED to normal form. ------ 133928/13785834. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 133929/13785861. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (^x.x)) a)((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 133930/13785888. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 133931/13785906. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((b b)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 133932/13785915. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 133933/13785942. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(b (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 133934/13786239. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 133935/13786266. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 133936/13786410. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 133937/13786464. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a (((a a)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (((a a)(^x.x))(^z.z))) 8. ==[ alpha ]==> (a (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 133938/13786545. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) a)(((a a) a)(a a))) REDUCED to normal form. ------ 133939/13786572. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((a a)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 133940/13786626. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(a (^y.(^z.z))))) 9. ==[ beta ]==> ((a a)(a (a (^y.(^z.z))))) 10. ==[ alpha ]==> ((a a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 133941/13786752. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 133942/13786779. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 133943/13786860. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 133944/13786878. ------ 1. ==[ start ]==> (((^a.b) a)((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)((a b)(^y.b))) 3. ==[ beta ]==> (b ((a b)(^y.b))) 4. ==[ alpha ]==> (b ((a b)(^x.b))) REDUCED to normal form. ------ 133945/13786887. ------ 1. ==[ start ]==> ((a (a b))((^a.b)(a b))) 2. ==[ alpha ]==> ((a (a b))((^x.b)(a b))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 133946/13787040. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 133947/13787067. ------ 1. ==[ start ]==> (((a b) a)(((a a)(a a)) a)) REDUCED to normal form. ------ 133948/13787094. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) b) b)) 3. ==[ beta ]==> (((a a)(^x.b))(b b)) REDUCED to normal form. ------ 133949/13787292. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 133950/13787346. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 133951/13787373. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 133952/13787445. ------ 1. ==[ start ]==> (((^a.b) b)((^b.b) b)) 2. ==[ alpha ]==> (((^x.b) b)((^y.y) b)) 3. ==[ beta ]==> (b ((^y.y) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 133953/13787490. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((b a)((^z.z) a))) 3. ==[ beta ]==> ((^y.(a a))((b a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.(a a))((b a)((^y.y) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 133954/13787517. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 133955/13787571. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a b)((a a) a))) 6. ==[ alpha ]==> ((^x.x)((a b)((a a) a))) 7. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 133956/13787652. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 133957/13787706. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 133958/13787733. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a a)((^z.z) b))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z) b))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) b))) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 133959/13787796. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 133960/13787823. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((b a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((b a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)(^z.a))) 5. ==[ beta ]==> ((^y.(y y))((b a)(^z.a))) 6. ==[ alpha ]==> ((^x.(x x))((b a)(^y.a))) 7. ==[ beta ]==> (((b a)(^y.a))((b a)(^y.a))) 8. ==[ alpha ]==> (((b a)(^x.a))((b a)(^y.a))) REDUCED to normal form. ------ 133961/13787850. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 133962/13787877. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 133963/13787904. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a b)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 133964/13787967. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 133965/13787994. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> ((a ((a a) a))(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 133966/13788021. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.a)(b a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(b a))) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 133967/13788048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 133968/13788075. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)((^z.z) b))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)((^y.y) b))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y) b)) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x) b)) 7. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 133969/13788093. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) b) a)) 3. ==[ beta ]==> (b (((^y.y) b) a)) 4. ==[ alpha ]==> (b (((^x.x) b) a)) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 133970/13788102. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 133971/13788129. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 133972/13788408. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((^z.z) b))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) b))) 5. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 133973/13788435. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 133974/13788444. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 133975/13788489. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 133976/13788570. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a) a)((a a) a))) 3. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 133977/13788696. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 133978/13788723. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a (^y.y))) 3. ==[ beta ]==> ((a (a b))(a (^y.y))) 4. ==[ alpha ]==> ((a (a b))(a (^x.x))) REDUCED to normal form. ------ 133979/13788750. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 133980/13788831. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a b) a)((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 133981/13788858. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 133982/13788912. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 133983/13789272. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c ((a a)(^y.y)))) 3. ==[ beta ]==> (((a b)(a b))(c ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a b)(a b))(c ((a a)(^x.x)))) REDUCED to normal form. ------ 133984/13789335. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 133985/13789353. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((b a)(a a))) 3. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 133986/13789389. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 133987/13789461. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 133988/13789560. ------ 1. ==[ start ]==> (((a (a a))(a b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 133989/13789614. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 133990/13789695. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 133991/13789740. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133992/13790136. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b ((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b ((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b ((a a)(^y.y)))) 7. ==[ beta ]==> (((a a)(a a))(b ((a a)(^y.y)))) 8. ==[ alpha ]==> (((a a)(a a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 133993/13790217. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (b ((a a)(a (^y.y)))) 6. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 133994/13790226. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 133995/13790325. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 133996/13790352. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a (^x.x))(a (a b))) REDUCED to normal form. ------ 133997/13790397. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 133998/13790478. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a b)((^y.(a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 133999/13790505. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 134000/13790532. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(a (a a)))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 134001/13790559. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 134002/13790586. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 134003/13790631. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134004/13790640. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 134005/13790667. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((a b)((a a)(^y.y))) 6. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 134006/13790838. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d ((a a) a))) 3. ==[ beta ]==> (b (d ((a a) a))) REDUCED to normal form. ------ 134007/13790946. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1)(a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134008/13790955. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(a a)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 134009/13790982. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.b) c)) 3. ==[ beta ]==> ((b a)((^y.b) c)) 4. ==[ alpha ]==> ((b a)((^x.b) c)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 134010/13791000. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (b (((a a) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((a a) a)((^x.x) a))) 7. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 134011/13791009. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.a) d)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a) d)) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 134012/13791027. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 134013/13791081. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 134014/13791171. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a b)(^x.a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 134015/13791198. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 134016/13791225. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 134017/13791279. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 134018/13791306. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((b (^x.x))(a (^z.a))) 6. ==[ alpha ]==> ((b (^x.x))(a (^y.a))) REDUCED to normal form. ------ 134019/13791342. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 134020/13791369. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a a)) REDUCED to normal form. ------ 134021/13791396. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a (b a))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a (b a))((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 134022/13791423. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) b) REDUCED to normal form. ------ 134023/13791477. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 134024/13791504. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 134025/13791531. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 134026/13791558. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 134027/13791702. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 134028/13791981. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a)(^y.b))) 3. ==[ beta ]==> ((b b)((a a)(^y.b))) 4. ==[ alpha ]==> ((b b)((a a)(^x.b))) REDUCED to normal form. ------ 134029/13792008. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a b) a)) REDUCED to normal form. ------ 134030/13792062. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) c)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) c) REDUCED to normal form. ------ 134031/13792188. ------ 1. ==[ start ]==> (((^a.b)(a b))(a (a b))) 2. ==[ alpha ]==> (((^x.b)(a b))(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 134032/13792197. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.b) a)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.b) a)) 3. ==[ beta ]==> (((a b)(^x.b)) b) REDUCED to normal form. ------ 134033/13792251. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 134034/13792296. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.y1) a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134035/13792422. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 134036/13792449. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(((^x1.x1) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))(a ((^x1.x1) a))) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a ((^z.z) a))) 9. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 134037/13792476. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 134038/13792503. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 134039/13792530. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.y)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)((a a) a))) 5. ==[ beta ]==> ((((a a) a)(a a))((a a) a)) REDUCED to normal form. ------ 134040/13792557. ------ 1. ==[ start ]==> (((a b)(a b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 134041/13792584. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 134042/13792611. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.a)(^x1.a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.a))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 134043/13792665. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 134044/13792692. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.a)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.a)) REDUCED to normal form. ------ 134045/13792836. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a a)((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134046/13793061. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y) a) c)) 3. ==[ beta ]==> ((b c)(((^y.y) a) c)) 4. ==[ alpha ]==> ((b c)(((^x.x) a) c)) 5. ==[ beta ]==> ((b c)(a c)) REDUCED to normal form. ------ 134047/13793133. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((b (^x.x))(a (^y.y))) REDUCED to normal form. ------ 134048/13793160. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 134049/13793196. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.a) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.a) c)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 134050/13793214. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.y1)) a)) REDUCED to normal form. ------ 134051/13793304. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 134052/13793331. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.b))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 134053/13793412. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a b)) REDUCED to normal form. ------ 134054/13793439. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (^z.z)) c)) 3. ==[ beta ]==> ((b (^y.a))((a (^z.z)) c)) 4. ==[ alpha ]==> ((b (^x.a))((a (^y.y)) c)) REDUCED to normal form. ------ 134055/13793529. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 134056/13793556. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(b (^y.a))) REDUCED to normal form. ------ 134057/13793583. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(a (^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y) b))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.(y y)))) 5. ==[ beta ]==> ((a b)(a (^y.(y y)))) 6. ==[ alpha ]==> ((a b)(a (^x.(x x)))) REDUCED to normal form. ------ 134058/13793610. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.a)(a a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 134059/13793637. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 134060/13793664. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))((^z.z) a)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y) a)) 5. ==[ beta ]==> ((((a a) a)((a a)(^x.x))) a) REDUCED to normal form. ------ 134061/13793691. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(a a))((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.y))) 5. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 134062/13793718. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 134063/13793745. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.a)) REDUCED to normal form. ------ 134064/13793799. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 134065/13793826. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(a (^z.a))) 3. ==[ beta ]==> ((b ((^y.y) a))(a (^z.a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(a (^y.a))) 5. ==[ beta ]==> ((b a)(a (^y.a))) 6. ==[ alpha ]==> ((b a)(a (^x.a))) REDUCED to normal form. ------ 134066/13793853. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 134067/13793907. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 134068/13793997. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(b a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b a)) 3. ==[ beta ]==> (((^y.y)(^y.y))(b a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 134069/13794078. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 134070/13799760. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 134071/13803174. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a))) b) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z))) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 134072/13803198. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134073/13803279. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134074/13803372. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 134075/13803783. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((b (^y.y))(^z.z))) 3. ==[ beta ]==> (((b (^y.y))(^z.z))(((b (^y.y))(^z.z))((b (^y.y))(^z.z)))) 4. ==[ alpha ]==> (((b (^x.x))(^y.y))(((b (^z.z))(^x1.x1))((b (^y1.y1))(^z1.z1)))) REDUCED to normal form. ------ 134076/13804008. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134077/13804146. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134078/13805079. ------ 1. ==[ start ]==> ((^a.(a b))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))((a b)(^y.b))) 3. ==[ beta ]==> (((a b)(^y.b)) b) 4. ==[ alpha ]==> (((a b)(^x.b)) b) REDUCED to normal form. ------ 134079/13805253. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((a a)(a a)))) 3. ==[ beta ]==> (b (^z.((a a)(a a)))) 4. ==[ alpha ]==> (b (^x.((a a)(a a)))) REDUCED to normal form. ------ 134080/13805466. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(((^z.a)(^x1.(a a)))((^z.a)(^x1.(a a))))) 4. ==[ alpha ]==> (^x.(((^y.a)(^z.(a a)))((^x1.a)(^y1.(a a))))) 5. ==[ beta ]==> (^x.(a ((^x1.a)(^y1.(a a))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.(a a))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 134081/13805937. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^z.b)) REDUCED to normal form. ------ 134082/13806348. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((b a) c)) 3. ==[ beta ]==> ((((b a) c)((b a) c))(^y.y)) 4. ==[ alpha ]==> ((((b a) c)((b a) c))(^x.x)) REDUCED to normal form. ------ 134083/13806603. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 134084/13807104. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z))(^x1.b))) 3. ==[ eta ]==> (b (((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (b ((^y.y)(^z.b))) 6. ==[ alpha ]==> (b ((^x.x)(^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 134085/13807530. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 134086/13807941. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x1.(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 134087/13808367. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(b x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.b)) b) 4. ==[ beta ]==> (((^y.y)(^z.b)) b) 5. ==[ alpha ]==> (((^x.x)(^y.b)) b) 6. ==[ beta ]==> ((^y.b) b) 7. ==[ alpha ]==> ((^x.b) b) 8. ==[ beta ]==> b REDUCED to normal form. ------ 134088/13808859. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 134089/13808862. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 134090/13808871. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 134091/13809339. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 134092/13809357. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 134093/13810383. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 134094/13810392. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.(a b))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(y b))) REDUCED to normal form. ------ 134095/13810938. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134096/13811328. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 134097/13812021. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.c)) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.c)) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.c)) 5. ==[ beta ]==> ((b a)(^y.c)) 6. ==[ alpha ]==> ((b a)(^x.c)) REDUCED to normal form. ------ 134098/13812099. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a (^x1.x1)) a)) 3. ==[ eta ]==> ((^y.(^z.z))((a (^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134099/13812192. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 134100/13812273. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 134101/13812303. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 134102/13812357. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 134103/13812384. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 134104/13812447. ------ 1. ==[ start ]==> (((a a) b)(b (b (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(b (b (^x.x)))) REDUCED to normal form. ------ 134105/13812474. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 134106/13812501. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b (^z.z))(a a))) REDUCED to normal form. ------ 134107/13812528. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(a a))(a (^z.z)))) REDUCED to normal form. ------ 134108/13812582. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 134109/13812663. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(a b))) REDUCED to normal form. ------ 134110/13812690. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)((a b)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)((a b)((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 134111/13812717. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 134112/13812744. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(b a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 134113/13812771. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 134114/13812888. ------ 1. ==[ start ]==> ((a (a (a a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a (a a)))((b (^x.x))(^y.y))) REDUCED to normal form. ------ 134115/13812924. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 134116/13812978. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134117/13813086. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 134118/13813113. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 134119/13813158. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 134120/13813185. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 134121/13813248. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(b (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134122/13813329. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 134123/13813464. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 134124/13813797. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (b (((^y.y)(a a))((a a) a))) 6. ==[ alpha ]==> (b (((^x.x)(a a))((a a) a))) 7. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 134125/13813824. ------ 1. ==[ start ]==> ((((a a) a) a)((a b)(a b))) REDUCED to normal form. ------ 134126/13813878. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 134127/13813905. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (a a))(b a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a))(b a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(b a))) REDUCED to normal form. ------ 134128/13813932. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 134129/13813959. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134130/13813986. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)((a a)(a a)))) REDUCED to normal form. ------ 134131/13814022. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 134132/13814049. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 134133/13814076. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 134134/13814103. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((b a)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a)) a)((b a)(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a)) a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 134135/13814130. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 134136/13814184. ------ 1. ==[ start ]==> ((a (a b))((a b)(^a.b))) 2. ==[ alpha ]==> ((a (a b))((a b)(^x.b))) REDUCED to normal form. ------ 134137/13814193. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(a b))) 3. ==[ beta ]==> ((^y.b)((^z.b)(a b))) 4. ==[ alpha ]==> ((^x.b)((^y.b)(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 134138/13814274. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(b a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(b a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(b a))) IRREDUCIBLE: cycle. ------ 134139/13814355. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (b ((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 134140/13814382. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 134141/13814409. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134142/13814544. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.b)(^z.b))) 3. ==[ beta ]==> (b ((^y.b)(^z.b))) 4. ==[ alpha ]==> (b ((^x.b)(^y.b))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 134143/13814571. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 134144/13814742. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) b)(a a))) 3. ==[ beta ]==> (b (((^y.y) b)(a a))) 4. ==[ alpha ]==> (b (((^x.x) b)(a a))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 134145/13814751. ------ 1. ==[ start ]==> (((a b)(a a))((^b.b) b)) 2. ==[ alpha ]==> (((a b)(a a))((^x.x) b)) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 134146/13814958. ------ 1. ==[ start ]==> (((a b) b)((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 134147/13814985. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(b a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(b a))) 5. ==[ beta ]==> (((a a) a)(a (b a))) REDUCED to normal form. ------ 134148/13815012. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 134149/13815030. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(b (^z.z))) 3. ==[ beta ]==> ((^y.y)(b (^z.z))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134150/13815039. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a) b)) REDUCED to normal form. ------ 134151/13815084. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 9. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 11. ==[ beta ]==> ((^y.y)(a a)) 12. ==[ alpha ]==> ((^x.x)(a a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 134152/13815165. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134153/13815237. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)(^y.b))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.b))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.b))) REDUCED to normal form. ------ 134154/13815264. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a b))(^z.(a a))) 6. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(a a))) REDUCED to normal form. ------ 134155/13815345. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 134156/13815372. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a a)(^y.y))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.x))) REDUCED to normal form. ------ 134157/13815399. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) b) a)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(b a)) REDUCED to normal form. ------ 134158/13815426. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 134159/13815453. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((b a) c)) REDUCED to normal form. ------ 134160/13815489. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134161/13815624. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134162/13815633. ------ 1. ==[ start ]==> (((a b) c)(d ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(d ((a a)(^x.x)))) REDUCED to normal form. ------ 134163/13815660. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c (b a))) 3. ==[ beta ]==> (((a a) b)(c (b a))) REDUCED to normal form. ------ 134164/13815687. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 134165/13815705. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 134166/13815741. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 134167/13815768. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.b))((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))((b a)(a (^y.y)))) REDUCED to normal form. ------ 134168/13815822. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134169/13815849. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a b)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b)(^y.y))) REDUCED to normal form. ------ 134170/13815876. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 134171/13815903. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(a b))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a b))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 134172/13815930. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a (a a))(a a))) REDUCED to normal form. ------ 134173/13816047. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 134174/13816074. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((b a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 9. ==[ beta ]==> ((b a)(^y.(^z.z))) 10. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 134175/13816101. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 134176/13816128. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a b) a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> (((a b) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 134177/13816155. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 134178/13816209. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(^y.b))) 5. ==[ beta ]==> ((a (b a))(^y.b)) 6. ==[ alpha ]==> ((a (b a))(^x.b)) REDUCED to normal form. ------ 134179/13816299. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(b a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134180/13816488. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 134181/13816515. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134182/13816569. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 134183/13816578. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 134184/13816632. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 134185/13816659. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((b a)(a a))) REDUCED to normal form. ------ 134186/13816686. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 134187/13816713. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 134188/13816938. ------ 1. ==[ start ]==> (((a b)(a (a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((b a)(^x.x))) REDUCED to normal form. ------ 134189/13816965. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 134190/13816992. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 134191/13817046. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 134192/13817136. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a a)((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 134193/13817352. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 134194/13817379. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((^y.(y y))(^z.b)) 6. ==[ alpha ]==> ((^x.(x x))(^y.b)) 7. ==[ beta ]==> ((^y.b)(^y.b)) 8. ==[ alpha ]==> ((^x.b)(^y.b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 134195/13817442. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 134196/13817469. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (b a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (b a))) 5. ==[ beta ]==> ((^y.b)(a (b a))) 6. ==[ alpha ]==> ((^x.b)(a (b a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 134197/13817523. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 134198/13817550. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a b) a)) REDUCED to normal form. ------ 134199/13817577. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 134200/13817631. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (a a))((a a) a))) REDUCED to normal form. ------ 134201/13817748. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 134202/13817775. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 134203/13817802. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a b)(^x.a))) REDUCED to normal form. ------ 134204/13817829. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^y.y))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 134205/13817856. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 8. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 134206/13817937. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 134207/13817964. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 134208/13817973. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 134209/13818135. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 134210/13818252. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a a)(a a))) REDUCED to normal form. ------ 134211/13818279. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a b)(a (^y.y)))) 3. ==[ beta ]==> ((b a)((a b)(a (^y.y)))) 4. ==[ alpha ]==> ((b a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 134212/13818306. ------ 1. ==[ start ]==> (((a a)(^b.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 134213/13818333. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (a a))) REDUCED to normal form. ------ 134214/13818414. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(a b))) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z))(a b))) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(a b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 134215/13818441. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a a)(a a))) REDUCED to normal form. ------ 134216/13818459. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 134217/13818567. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134218/13818639. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 134219/13818666. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(^x1.(a a)))) REDUCED to normal form. ------ 134220/13818693. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a (b a))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((a (b a))((a a) a)) REDUCED to normal form. ------ 134221/13818720. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a b) b)) REDUCED to normal form. ------ 134222/13818909. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a a)) REDUCED to normal form. ------ 134223/13818936. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.b) b)) 3. ==[ beta ]==> ((b (a a))((^y.b) b)) 4. ==[ alpha ]==> ((b (a a))((^x.b) b)) 5. ==[ beta ]==> ((b (a a)) b) REDUCED to normal form. ------ 134224/13819134. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(a a))) 3. ==[ beta ]==> (b ((^z.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 134225/13819242. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134226/13819323. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.y))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 134227/13819350. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 134228/13819404. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((b a)(b a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((b a)(b a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((b a)(b a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 134229/13819467. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b ((a a) a))) REDUCED to normal form. ------ 134230/13819485. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.y)(^z.b))) 3. ==[ beta ]==> (b ((^y.y)(^z.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 134231/13819494. ------ 1. ==[ start ]==> (((a b)(^a.b))(a (a b))) 2. ==[ alpha ]==> (((a b)(^x.b))(a (a b))) REDUCED to normal form. ------ 134232/13819548. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 134233/13819602. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a (a (a a)))) REDUCED to normal form. ------ 134234/13819629. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((a (^z.z))(^y1.y1))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 134235/13819656. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 134236/13819692. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((a a) a)(^x.x))) REDUCED to normal form. ------ 134237/13819719. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 134238/13819746. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(^z.a))) REDUCED to normal form. ------ 134239/13819773. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(b a))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(b a))(a (^x.(x x)))) REDUCED to normal form. ------ 134240/13819800. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 134241/13819854. ------ 1. ==[ start ]==> (((a b)(a b))(((a a) a) a)) REDUCED to normal form. ------ 134242/13819881. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (((a a)((a a) a))((^y.y) b)) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.x) b)) 7. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 134243/13820043. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 134244/13820133. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b (^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134245/13820214. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (b ((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 134246/13820322. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134247/13820358. ------ 1. ==[ start ]==> ((((^a.a) b) c)(d (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(d (a (^y.y)))) 3. ==[ beta ]==> ((b c)(d (a (^y.y)))) 4. ==[ alpha ]==> ((b c)(d (a (^x.x)))) REDUCED to normal form. ------ 134248/13820385. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(c ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(c ((^x.x) a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(c a)) REDUCED to normal form. ------ 134249/13820430. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 134250/13820493. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(a (a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 134251/13820520. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((a (^x1.x1)) a)) REDUCED to normal form. ------ 134252/13820592. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(z z))(a a))) 3. ==[ beta ]==> (b ((^z.(z z))(a a))) 4. ==[ alpha ]==> (b ((^x.(x x))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 134253/13820628. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(c c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(c c)) 3. ==[ beta ]==> (((a a)(^y.b))(c c)) 4. ==[ alpha ]==> (((a a)(^x.b))(c c)) REDUCED to normal form. ------ 134254/13820700. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134255/13820736. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(c (a (^z.z)))) 3. ==[ beta ]==> ((b (^y.a))(c (a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.a))(c (a (^y.y)))) REDUCED to normal form. ------ 134256/13820763. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 134257/13820826. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.a) b)) 3. ==[ beta ]==> (((a a)(b (^x.x))) a) REDUCED to normal form. ------ 134258/13820907. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 134259/13820934. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 134260/13820961. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 134261/13820988. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(((^y.y) a) a)) 3. ==[ beta ]==> (((a b)(a a))(((^y.y) a) a)) 4. ==[ alpha ]==> (((a b)(a a))(((^x.x) a) a)) 5. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 134262/13821015. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (^y.y)) b)) 3. ==[ beta ]==> (((a a)(a b))((a (^y.y)) b)) 4. ==[ alpha ]==> (((a a)(a b))((a (^x.x)) b)) REDUCED to normal form. ------ 134263/13821096. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 134264/13821123. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.z) c)) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.z) c)) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.y) c)) 5. ==[ beta ]==> ((b a)((^y.y) c)) 6. ==[ alpha ]==> ((b a)((^x.x) c)) 7. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 134265/13821150. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 134266/13821204. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a (^z.z)) a)) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 134267/13821294. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 134268/13821375. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (b (a (^x1.x1))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 134269/13830480. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a))) c) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z))) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 134270/13830756. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a)) c)) 3. ==[ beta ]==> (^y.((^z.(a a)) c)) 4. ==[ alpha ]==> (^x.((^y.(a a)) c)) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 134271/13830828. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a)((^z.z)(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 134272/13831323. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134273/13831461. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134274/13831857. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(b (^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(b (^z.z)))) 6. ==[ alpha ]==> ((a a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 134275/13831881. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((((a a)(a a))(a a))(((a a)(a a))(a a)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 134276/13832568. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 134277/13832577. ------ 1. ==[ start ]==> (((a b) a)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 134278/13832937. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.((y y)(y y)))) REDUCED to normal form. ------ 134279/13832988. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a (^z.(^x1.x1)))(a (^y1.y1)))((a (^z.(^x1.x1)))(a (^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.(^z.z)))(a (^x1.x1)))((a (^y1.(^z1.z1)))(a (^x2.x2))))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(a (^x1.x1)))((a (^y1.(^z1.z1)))(a (^x2.x2)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) REDUCED to normal form. ------ 134280/13833603. ------ 1. ==[ start ]==> (((^a.b) c)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.b) c)(^z.z)) 4. ==[ alpha ]==> (((^x.b) c)(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134281/13834233. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a b))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a b))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 134282/13834845. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 134283/13836186. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 134284/13836681. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 134285/13837122. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 134286/13837173. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (((((a a) a)(a (^y.y)))(((a a) a)(a (^y.y))))((((a a) a)(a (^y.y)))(((a a) a)(a (^y.y))))) 4. ==[ alpha ]==> (((((a a) a)(a (^x.x)))(((a a) a)(a (^y.y))))((((a a) a)(a (^z.z)))(((a a) a)(a (^x1.x1))))) REDUCED to normal form. ------ 134287/13837518. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(a x))) 3. ==[ eta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 134288/13837707. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 134289/13838229. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.((x x) x))) REDUCED to normal form. ------ 134290/13838253. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134291/13839093. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a b)(^y.((^z.z) a))) 6. ==[ alpha ]==> ((a b)(^x.((^y.y) a))) 7. ==[ beta ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 134292/13839336. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(a (^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(a (^z.z)))) 6. ==[ alpha ]==> ((b a)(^x.(a (^y.y)))) REDUCED to normal form. ------ 134293/13839507. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.z)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134294/13839588. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (b (^x1.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 134295/13839636. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 134296/13839690. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 134297/13839717. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.z))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 5. ==[ beta ]==> (b ((^y.y)(^y.y))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134298/13839744. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 134299/13839870. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a)) c)) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 134300/13839888. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b ((^y.y) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(b a)) REDUCED to normal form. ------ 134301/13839915. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 134302/13839942. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)((b a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)((b a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)((b a)(^y.y))) 6. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 134303/13840131. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)((^z.z) b))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y) b))) 5. ==[ beta ]==> (((a a) a)(a ((^y.y) b))) 6. ==[ alpha ]==> (((a a) a)(a ((^x.x) b))) 7. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 134304/13840158. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((a a)(a a)))) REDUCED to normal form. ------ 134305/13840185. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a a)(b (^y.y)))) 3. ==[ beta ]==> ((a (a a))((a a)(b (^y.y)))) 4. ==[ alpha ]==> ((a (a a))((a a)(b (^x.x)))) REDUCED to normal form. ------ 134306/13840221. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))((b (^y.y))(^z.z))) 5. ==[ beta ]==> (((b (^y.y))(^z.z))((b (^y.y))(^z.z))) 6. ==[ alpha ]==> (((b (^x.x))(^y.y))((b (^z.z))(^x1.x1))) REDUCED to normal form. ------ 134307/13840248. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 134308/13840284. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 134309/13840302. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 134310/13840311. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 134311/13840329. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 134312/13840365. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 134313/13840392. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 134314/13840410. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a b)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(a a)))) REDUCED to normal form. ------ 134315/13840419. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 134316/13840437. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 134317/13840527. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((b b)((^y.a)((^z.z) b))) 4. ==[ alpha ]==> ((b b)((^x.a)((^y.y) b))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 134318/13840599. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((b (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 5. ==[ beta ]==> ((b (^y.y)) a) 6. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 134319/13840653. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) b) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) b) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) c)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) b) c)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 7. ==[ beta ]==> (((^y.y) b) c) 8. ==[ alpha ]==> (((^x.x) b) c) 9. ==[ beta ]==> (b c) REDUCED to normal form. ------ 134320/13840662. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.a)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.a)) REDUCED to normal form. ------ 134321/13840689. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 134322/13840770. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 134323/13840797. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 134324/13840941. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b ((a a)(a a)))) REDUCED to normal form. ------ 134325/13840968. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(a (b (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a a))(a (b (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(a (b (^y.y)))) 5. ==[ beta ]==> ((a a)(a (b (^y.y)))) 6. ==[ alpha ]==> ((a a)(a (b (^x.x)))) REDUCED to normal form. ------ 134326/13840995. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 134327/13841031. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1) c)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 134328/13841310. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 134329/13841499. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a))((a a) a))) 3. ==[ beta ]==> (b ((^y.(a a))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((a a) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 134330/13841517. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(^z.b))) 3. ==[ beta ]==> ((^y.b)((a b)(^z.b))) 4. ==[ alpha ]==> ((^x.b)((a b)(^y.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 134331/13841661. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 134332/13841679. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)(^z.(a a)))) 3. ==[ beta ]==> (b ((a a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 134333/13841688. ------ 1. ==[ start ]==> (((a b) a)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.x)((a a)(a a)))) 3. ==[ beta ]==> (((a b) a)((a a)(a a))) REDUCED to normal form. ------ 134334/13841706. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a)(a a)) a)) 3. ==[ beta ]==> ((a b)(((a a)(a a)) a)) REDUCED to normal form. ------ 134335/13841715. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 134336/13841733. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) b) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z) b) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 5. ==[ beta ]==> (((^y.y) b) b) 6. ==[ alpha ]==> (((^x.x) b) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 134337/13841769. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 134338/13841823. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 134339/13841850. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 134340/13841877. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 134341/13842021. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b ((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b ((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b ((^z.z) b))) 5. ==[ beta ]==> (((^y.y) a)(b ((^z.z) b))) 6. ==[ alpha ]==> (((^x.x) a)(b ((^y.y) b))) 7. ==[ beta ]==> (a (b ((^y.y) b))) 8. ==[ alpha ]==> (a (b ((^x.x) b))) 9. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 134342/13842048. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a ((a a)(a a)))) REDUCED to normal form. ------ 134343/13842075. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) b)(a a))) 3. ==[ beta ]==> (((a b)(a a))(b (a a))) REDUCED to normal form. ------ 134344/13842102. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 134345/13842111. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.(^x1.x1))) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 134346/13842336. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 134347/13842363. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (^z.z))) REDUCED to normal form. ------ 134348/13842408. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) b)(^z1.z1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) b)(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) b)(^y1.y1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b)(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.z))) 11. ==[ beta ]==> (((^y.y) b)(^z.z)) 12. ==[ alpha ]==> (((^x.x) b)(^y.y)) 13. ==[ beta ]==> (b (^y.y)) 14. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134349/13842417. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 134350/13842444. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 7. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a (^y1.y1)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 8. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 9. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134351/13842489. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 134352/13842498. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 134353/13842525. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 134354/13842714. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)((^z.z) b))) 3. ==[ beta ]==> (b ((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 134355/13842957. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b) c)(^y.y)) 6. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 134356/13843011. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 134357/13843056. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 134358/13843290. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 134359/13843317. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.z))(b a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(b a))) REDUCED to normal form. ------ 134360/13843344. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a b))((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a b))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 134361/13843704. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((b a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((b a) b)) 3. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 134362/13843767. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a a)) REDUCED to normal form. ------ 134363/13843875. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 134364/13843902. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 134365/13843956. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 134366/13843974. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 134367/13844100. ------ 1. ==[ start ]==> (((a a)(b a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)(b a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a a)(b a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 134368/13844127. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a) a)) REDUCED to normal form. ------ 134369/13844154. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (a a))(a b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a))(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))((a (a a))(a b))) REDUCED to normal form. ------ 134370/13844181. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a b))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a b))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a))(a b))(a (a a))) REDUCED to normal form. ------ 134371/13844208. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 134372/13844235. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a)(b a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a)(b a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(b a))) REDUCED to normal form. ------ 134373/13844361. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134374/13844379. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134375/13844460. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> ((a a)(((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(a a)))) 7. ==[ beta ]==> ((a a)(a (^y.(a a)))) 8. ==[ alpha ]==> ((a a)(a (^x.(a a)))) REDUCED to normal form. ------ 134376/13844541. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((b a) a)) 3. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 134377/13844685. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 134378/13844766. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 134379/13844838. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134380/13844991. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a (a b))) REDUCED to normal form. ------ 134381/13845018. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a (^y.y))(a a))) REDUCED to normal form. ------ 134382/13845045. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 134383/13845252. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134384/13845297. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 134385/13845324. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((a a)(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(^y.y)) a) 6. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 134386/13845621. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.b) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.b) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.b) c)) 5. ==[ beta ]==> (b ((^y.b) c)) 6. ==[ alpha ]==> (b ((^x.b) c)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 134387/13845738. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c (^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.b))) 5. ==[ beta ]==> ((^y.(a a))(c (^z.b))) 6. ==[ alpha ]==> ((^x.(a a))(c (^y.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 134388/13845765. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b (^y.(a a)))) REDUCED to normal form. ------ 134389/13845792. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 134390/13845819. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 134391/13845846. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 134392/13845891. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134393/13845900. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 134394/13845927. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((b (^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((b (^x.x))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((b (^x.x))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.z))) 11. ==[ beta ]==> ((b (^x.x))(^z.z)) 12. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 134395/13846233. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (a a))) REDUCED to normal form. ------ 134396/13846260. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a b)(a a))) 3. ==[ beta ]==> ((b (a a))((a b)(a a))) REDUCED to normal form. ------ 134397/13846287. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 134398/13846458. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a b)(^z.z))) 3. ==[ beta ]==> (b ((a b)(^z.z))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 134399/13846566. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134400/13846602. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 134401/13846629. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)(a b))) 3. ==[ beta ]==> ((((a a)(a a)) a)(a b)) REDUCED to normal form. ------ 134402/13846647. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a b) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a b) a)) 3. ==[ beta ]==> (((a a)(a a))((a b) a)) REDUCED to normal form. ------ 134403/13846674. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 134404/13846683. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 134405/13846710. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 134406/13846791. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 134407/13846818. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.b)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.b)) REDUCED to normal form. ------ 134408/13846953. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 134409/13846980. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b (^y.a))) REDUCED to normal form. ------ 134410/13847313. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (a (^x.x)))(b (^z.z))) 6. ==[ alpha ]==> ((b (a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 134411/13847340. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(a ((a a) a))) REDUCED to normal form. ------ 134412/13847367. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((a (b (^x.x)))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> ((a (b (^x.x)))(a a)) REDUCED to normal form. ------ 134413/13847538. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 134414/13847646. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1)(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134415/13847682. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((b c)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((b c)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b c)(^y.y)) 8. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 134416/13847709. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 134417/13847781. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134418/13847835. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.a) c)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.a) c)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.a) c)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 134419/13847916. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (a a))(^z.z))) 3. ==[ beta ]==> (b ((a (a a))(^z.z))) 4. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 134420/13847925. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 134421/13847952. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 134422/13848024. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134423/13848033. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))((^y1.y1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 134424/13848060. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 134425/13848087. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 134426/13848150. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a (a a))) REDUCED to normal form. ------ 134427/13848177. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 134428/13848204. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a ((^y.y) b))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a b)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a b)((a a)((^x.x) a))) 7. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 134429/13848258. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(c b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(c b)) 3. ==[ beta ]==> (((^y.y)(b a))(c b)) 4. ==[ alpha ]==> (((^x.x)(b a))(c b)) 5. ==[ beta ]==> ((b a)(c b)) REDUCED to normal form. ------ 134430/13848285. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(b c)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(b c)) REDUCED to normal form. ------ 134431/13848339. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(c (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(c (a a))) 3. ==[ beta ]==> (((a a)(a b))(c (a a))) REDUCED to normal form. ------ 134432/13848366. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(b (a (^y.y)))) REDUCED to normal form. ------ 134433/13848420. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (^z.z))(a a))) REDUCED to normal form. ------ 134434/13848447. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((b ((^y.y) a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((b a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 134435/13848618. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) b)) 5. ==[ beta ]==> ((^y.y)((^z.z) b)) 6. ==[ alpha ]==> ((^x.x)((^y.y) b)) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 134436/13848699. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (b ((^x1.x1) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 134437/13848725. ------ 1. ==[ start ]==> (^a.((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (^x.((^y.(x x))(^z.(x x)))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 134438/13848726. ------ 1. ==[ start ]==> (a ((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (a ((^x.(a a))(^y.(a a)))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 134439/13850439. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((a a)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 134440/13857639. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(a (^y1.y1)))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134441/13857813. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a))) d) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z))) d) 3. ==[ beta ]==> (b d) REDUCED to normal form. ------ 134442/13857846. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 134443/13857873. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^z.(^x1.x1)))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (b ((^x1.b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 134444/13857900. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(^d.a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 134445/13857981. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^z.a)(^x1.(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(^y.(a a)))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 134446/13858047. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> (((^x.x)(a (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 134447/13858098. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> (^y.(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (^x.(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 134448/13858341. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 134449/13858791. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134450/13859556. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)((a a)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 134451/13859559. ------ 1. ==[ start ]==> ((a (^a.b))(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((a a)(a a)))) REDUCED to normal form. ------ 134452/13859736. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.(a a))((a a) a)) b) 4. ==[ alpha ]==> (((^x.(a a))((a a) a)) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 134453/13859919. ------ 1. ==[ start ]==> (((a b) a)(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 134454/13860279. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 134455/13860945. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 134456/13860954. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 134457/13861005. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.(^y2.y2)))(^z2.(^x3.x3))))(^y3.y3)) 5. ==[ beta ]==> (((^y.(^z.z))((^z1.(^x2.(^y2.y2)))(^z2.(^x3.x3))))(^y3.y3)) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2))))(^y2.y2)) 7. ==[ beta ]==> ((^y.y)(^y2.y2)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134458/13861287. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 134459/13861602. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 134460/13861761. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)((a a) a))) 3. ==[ eta ]==> (b ((^y.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 134461/13862205. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 134462/13862310. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a b)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 134463/13862493. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 134464/13862598. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (((^x1.b)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.z))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 134465/13863201. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134466/13863516. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 134467/13863798. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.((z1 z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.((z1 z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134468/13864014. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (b (^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 134469/13864248. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a (b a))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (b a))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((a (b a))(^x.(a a))) REDUCED to normal form. ------ 134470/13864464. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 134471/13865247. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.b))) REDUCED to normal form. ------ 134472/13865409. ------ 1. ==[ start ]==> (((a b)(a b))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.((a a) a))) REDUCED to normal form. ------ 134473/13865571. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(^y.a))) REDUCED to normal form. ------ 134474/13866012. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134475/13866462. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 134476/13866543. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a b)(a a))(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y) a))) 5. ==[ beta ]==> (((a b)(a a))(^x.a)) REDUCED to normal form. ------ 134477/13866705. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 134478/13866756. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.x1)(a (^y1.y1)))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134479/13866759. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 134480/13866849. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 134481/13866930. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> (b (^x1.(x1 x1))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 134482/13866969. ------ 1. ==[ start ]==> ((a a)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 134483/13866996. ------ 1. ==[ start ]==> ((a (a a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 134484/13867023. ------ 1. ==[ start ]==> ((a b)((^c.a)(^d.a))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 134485/13867077. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 134486/13867104. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 134487/13867140. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (b (^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 134488/13867167. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (^y.y))(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 134489/13867194. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((b (^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)((b (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(a a))) 5. ==[ beta ]==> ((b (^y.y))(a a)) 6. ==[ alpha ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 134490/13867221. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 134491/13867302. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 134492/13867329. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 134493/13867383. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> (a ((a b)((^y.y)(a a)))) 6. ==[ alpha ]==> (a ((a b)((^x.x)(a a)))) 7. ==[ beta ]==> (a ((a b)(a a))) REDUCED to normal form. ------ 134494/13867410. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 134495/13867464. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 134496/13867635. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) b)(^z.a))) 3. ==[ beta ]==> ((a b)(((^y.y) b)(^z.a))) 4. ==[ alpha ]==> ((a b)(((^x.x) b)(^y.a))) 5. ==[ beta ]==> ((a b)(b (^y.a))) 6. ==[ alpha ]==> ((a b)(b (^x.a))) REDUCED to normal form. ------ 134497/13867662. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 134498/13867689. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 134499/13867716. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 134500/13867743. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 134501/13867770. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(^y.(a a)))) REDUCED to normal form. ------ 134502/13867833. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(b a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 134503/13867860. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a (^x.x)))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 134504/13867878. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((b b)(a (^y.y))) 6. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 134505/13867887. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 134506/13867914. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 134507/13868013. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) b) c)) 3. ==[ beta ]==> (((a (a a)) b)(b c)) REDUCED to normal form. ------ 134508/13868238. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 134509/13868265. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 134510/13868382. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 134511/13868436. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((b a)(a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((b a)(a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((b a)(a (a a)))) 5. ==[ beta ]==> (a ((b a)(a (a a)))) REDUCED to normal form. ------ 134512/13868517. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a b)(a b))) 3. ==[ beta ]==> (((a a) a)((a b)(a b))) REDUCED to normal form. ------ 134513/13868544. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 134514/13868598. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (a a))(b a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (a a))(b a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(b a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(b a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(b a))) 7. ==[ beta ]==> ((a a)((a (a a))(b a))) REDUCED to normal form. ------ 134515/13868679. ------ 1. ==[ start ]==> ((a (^a.b))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((a a)((a a)(a a)))) REDUCED to normal form. ------ 134516/13868751. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a (a (a a)))(a (^y.y))) 6. ==[ alpha ]==> ((a (a (a a)))(a (^x.x))) REDUCED to normal form. ------ 134517/13868778. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 134518/13868850. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (b ((a a)(^y.a))) 6. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 134519/13868859. ------ 1. ==[ start ]==> ((a (a b))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (a b))((^x.(a a))((a a) a))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 134520/13869012. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 134521/13869039. ------ 1. ==[ start ]==> (((a b) a)((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a b) a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 134522/13869066. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(a a)) a)) REDUCED to normal form. ------ 134523/13869120. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.(^y1.y1))) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1))) c)) REDUCED to normal form. ------ 134524/13869264. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 134525/13869291. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 134526/13869345. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 134527/13869372. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.x1))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 134528/13869417. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.b) b)((^y.(a a)) a)) 3. ==[ beta ]==> (b ((^y.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 134529/13869462. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 134530/13869489. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((b a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((b a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y) a))) 5. ==[ beta ]==> ((b a)((^y.y) a)) 6. ==[ alpha ]==> ((b a)((^x.x) a)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 134531/13869543. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 134532/13869624. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 134533/13869678. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(b a))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(b a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(b a))) 7. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 134534/13869705. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 134535/13869768. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 134536/13869795. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.(^y1.y1)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) REDUCED to normal form. ------ 134537/13869822. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((b a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((b a)(^y.a))) REDUCED to normal form. ------ 134538/13869849. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 134539/13869876. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 134540/13869912. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)((a a) a))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 134541/13869939. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 134542/13869966. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 134543/13869993. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(((a a)(^z.z))((a a)(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 134544/13870020. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)(b a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)(b a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(b a))) 5. ==[ beta ]==> ((a (a a))((^y.a)(b a))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(b a))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 134545/13870047. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 134546/13870065. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.b) c)((a a)(^y.y))) 3. ==[ beta ]==> (b ((a a)(^y.y))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 134547/13870074. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z) b)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y) b)) 5. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 134548/13870101. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 134549/13870128. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 134550/13870380. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^y.y))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 134551/13870407. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(a ((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 134552/13870416. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 134553/13870443. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 134554/13870461. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((b a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((b a)(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 134555/13870497. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) d)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1)) d)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) d)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) d)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) d)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134556/13870542. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a b)(^y.y))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 134557/13870695. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a b))(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a b))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 134558/13870722. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(a (^b.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(a (^x.x))) REDUCED to normal form. ------ 134559/13870749. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 10. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134560/13870803. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 134561/13870830. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 134562/13870857. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 134563/13870884. ------ 1. ==[ start ]==> ((a (b a))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.a)((a a) a))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 134564/13871325. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> (b (a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 134565/13871334. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 134566/13871433. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b)(a (a a)))) REDUCED to normal form. ------ 134567/13871613. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 134568/13871712. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134569/13871721. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 134570/13872189. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> (b (((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 134571/13872198. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 134572/13872225. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(a a)) c)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a)) c)) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 134573/13872297. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134574/13872324. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))((a a) a))) REDUCED to normal form. ------ 134575/13872369. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c (^y.(a a)))) REDUCED to normal form. ------ 134576/13872396. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 134577/13872450. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(a a))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(a a))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 134578/13872477. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 134579/13872504. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.b)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 134580/13872558. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 134581/13872603. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134582/13872612. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 134583/13872639. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 134584/13872918. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a ((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134585/13872927. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 134586/13872954. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(a a)) b)) 3. ==[ beta ]==> ((b a)((^y.(a a)) b)) 4. ==[ alpha ]==> ((b a)((^x.(a a)) b)) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 134587/13872972. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y) b)((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(a (^y.y)))) 5. ==[ beta ]==> (b ((a b)(a (^y.y)))) 6. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 134588/13872981. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.b) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b) c)) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 134589/13872999. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((a a) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 134590/13873053. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (a a))(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 134591/13873134. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (b ((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 134592/13873170. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 134593/13873197. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 134594/13873251. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1)(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(^z1.(z1 z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.(z1 z1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(y1 y1))) REDUCED to normal form. ------ 134595/13873278. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 134596/13873314. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a) b)((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a a) b)((^x.a)((a a) a))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 134597/13873341. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 134598/13873368. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (b a))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (b a))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (b a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (b a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 134599/13873395. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 134600/13873422. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 134601/13873449. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 134602/13873476. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 134603/13873503. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 134604/13873530. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 134605/13873584. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 134606/13873674. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 134607/13873953. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((b b)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 134608/13873980. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a a)(^x.b))) REDUCED to normal form. ------ 134609/13874034. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a) b)) REDUCED to normal form. ------ 134610/13874160. ------ 1. ==[ start ]==> (((^a.b)(a b))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))(b ((a a) a))) 3. ==[ beta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 134611/13874223. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 134612/13874268. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a (a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134613/13874367. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(a (^x.b))) REDUCED to normal form. ------ 134614/13874394. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^c.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(a a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(a a))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 134615/13874421. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 134616/13874448. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(b a))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(b a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(b a))(a ((^y.y) a))) 6. ==[ alpha ]==> (((a (a a))(b a))(a ((^x.x) a))) 7. ==[ beta ]==> (((a (a a))(b a))(a a)) REDUCED to normal form. ------ 134617/13874475. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 134618/13874502. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 134619/13874529. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.x)((a a) a))) 3. ==[ beta ]==> (((a b)(a b))((a a) a)) REDUCED to normal form. ------ 134620/13874583. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 134621/13874637. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 134622/13874664. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 134623/13874808. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (^x2.x2))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x2.x2))(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134624/13875033. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (a a)) b)) 3. ==[ beta ]==> ((b c)((a (a a)) b)) REDUCED to normal form. ------ 134625/13875060. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a) a) c)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x) a) c)) 3. ==[ beta ]==> ((((a a)(a a)) b)(a c)) REDUCED to normal form. ------ 134626/13875105. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(b (a (a a)))) 3. ==[ beta ]==> ((b (^y.y))(b (a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))(b (a (a a)))) REDUCED to normal form. ------ 134627/13875132. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 134628/13875168. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z)) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z)) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) b)) 5. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 134629/13875186. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1) a)(a (^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (a (^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (a (^y1.y1)))) REDUCED to normal form. ------ 134630/13875195. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.a) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 134631/13875276. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (a a))(^y.y))) REDUCED to normal form. ------ 134632/13875303. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.b))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 134633/13875384. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (a a)) a)) REDUCED to normal form. ------ 134634/13875411. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z) a) b)) 3. ==[ beta ]==> ((b (^y.a))(((^z.z) a) b)) 4. ==[ alpha ]==> ((b (^x.a))(((^y.y) a) b)) 5. ==[ beta ]==> ((b (^x.a))(a b)) REDUCED to normal form. ------ 134635/13875555. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(b (^z.a))) 3. ==[ beta ]==> ((a ((^y.y) b))(b (^z.a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(b (^y.a))) 5. ==[ beta ]==> ((a b)(b (^y.a))) 6. ==[ alpha ]==> ((a b)(b (^x.a))) REDUCED to normal form. ------ 134636/13875582. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a (^z.(z z)))) REDUCED to normal form. ------ 134637/13875609. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(a a))) 5. ==[ beta ]==> ((b a)((^y.a)(a a))) 6. ==[ alpha ]==> ((b a)((^x.a)(a a))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 134638/13875636. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 134639/13875663. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a b)(a a))((^y.y) a)) 6. ==[ alpha ]==> (((a b)(a a))((^x.x) a)) 7. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 134640/13875690. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(a b))((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.y))) 5. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 134641/13875717. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 134642/13875798. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 134643/13875825. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 134644/13875879. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 134645/13875969. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a a))) 5. ==[ beta ]==> ((^y.y)((a a)(a a))) 6. ==[ alpha ]==> ((^x.x)((a a)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 134646/13876050. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 134647/13885224. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134648/13885305. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134649/13885425. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 134650/13886034. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134651/13886199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 134652/13886925. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (^z.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 134653/13887105. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.a)) b) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.a)) b) 5. ==[ beta ]==> (((a a)(^y.a)) b) 6. ==[ alpha ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 134654/13887306. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.((a a)(a a)))) 3. ==[ beta ]==> ((a b)(^y.((a a)(a a)))) 4. ==[ alpha ]==> ((a b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 134655/13887492. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (^y.(((^z.b)(^x1.b))((^z.b)(^x1.b)))) 4. ==[ alpha ]==> (^x.(((^y.b)(^z.b))((^x1.b)(^y1.b)))) 5. ==[ beta ]==> (^x.(b ((^x1.b)(^y1.b)))) 6. ==[ alpha ]==> (^x.(b ((^y.b)(^z.b)))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 134656/13887666. ------ 1. ==[ start ]==> (((^a.b) b)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((y y)(y y)))) 3. ==[ beta ]==> (b (^y.((y y)(y y)))) 4. ==[ alpha ]==> (b (^x.((x x)(x x)))) REDUCED to normal form. ------ 134657/13887699. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.b) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)((^z.z) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) b))) 5. ==[ beta ]==> (((^y.y) b)((^z.z) b)) 6. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 7. ==[ beta ]==> (b ((^y.y) b)) 8. ==[ alpha ]==> (b ((^x.x) b)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 134658/13888323. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(^b.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 134659/13888374. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((((a (^z.(^x1.x1))) b)((a (^z.(^x1.x1))) b))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.(^y.y))) b)((a (^z.(^x1.x1))) b))(^y1.y1)) REDUCED to normal form. ------ 134660/13888656. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134661/13888665. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^z.b)) REDUCED to normal form. ------ 134662/13889130. ------ 1. ==[ start ]==> ((^a.(b a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.(b x))(((a a) a)(^y.a))) 3. ==[ eta ]==> (b (((a a) a)(^y.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 134663/13889574. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 134664/13889583. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 134665/13889967. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x1.(x1 x1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 134666/13890141. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(x1 a))) 3. ==[ beta ]==> (b (^x1.(x1 a))) 4. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 134667/13890885. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 134668/13890924. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.((a a)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^z1.((a a)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 134669/13891167. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134670/13891176. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 134671/13891392. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 134672/13891617. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 134673/13891884. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.b) b)) 3. ==[ beta ]==> ((((^y.b) b)((^y.b) b))(((^y.b) b)((^y.b) b))) 4. ==[ alpha ]==> ((((^x.b) b)((^y.b) b))(((^z.b) b)((^x1.b) b))) 5. ==[ beta ]==> ((b ((^y.b) b))(((^z.b) b)((^x1.b) b))) 6. ==[ alpha ]==> ((b ((^x.b) b))(((^y.b) b)((^z.b) b))) 7. ==[ beta ]==> ((b b)(((^y.b) b)((^z.b) b))) 8. ==[ alpha ]==> ((b b)(((^x.b) b)((^y.b) b))) 9. ==[ beta ]==> ((b b)(b ((^y.b) b))) 10. ==[ alpha ]==> ((b b)(b ((^x.b) b))) 11. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 134674/13892058. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (b (^z.(^x1.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 134675/13892247. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(a y))) 3. ==[ eta ]==> (((^x.x)((a a)(a a))) a) 4. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 134676/13892778. ------ 1. ==[ start ]==> (((a b)(a b))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 134677/13892964. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^c.a) a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a) a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134678/13893246. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134679/13893381. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 134680/13893516. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 134681/13893624. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134682/13893912. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.a))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.a))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 134683/13894074. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.c)) REDUCED to normal form. ------ 134684/13894125. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a a)(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134685/13894299. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 134686/13894356. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 134687/13894383. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 134688/13894437. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 134689/13894491. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134690/13894500. ------ 1. ==[ start ]==> (((a a) b)(c ((a a)(a a)))) REDUCED to normal form. ------ 134691/13894527. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (b (^y.y)))) REDUCED to normal form. ------ 134692/13894554. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 134693/13894581. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b (^z.z))(a a))) REDUCED to normal form. ------ 134694/13894635. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 134695/13894716. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 134696/13894743. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(a a))(a b))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(a b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a b))) 5. ==[ beta ]==> ((a a)((a a)(a b))) REDUCED to normal form. ------ 134697/13894770. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))((a b)(a a))) REDUCED to normal form. ------ 134698/13894797. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)((a a)(^x1.x1)))) REDUCED to normal form. ------ 134699/13894824. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(b a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(b a))) 7. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 134700/13894932. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a a)(b (^y.y)))) 3. ==[ beta ]==> ((a a)((a a)(b (^y.y)))) 4. ==[ alpha ]==> ((a a)((a a)(b (^x.x)))) REDUCED to normal form. ------ 134701/13895031. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 134702/13895058. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 134703/13895139. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(a a))(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a b))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 134704/13895166. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 134705/13895238. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 134706/13895265. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a a))(a (^y.y))) 4. ==[ alpha ]==> (((a (a a))(a a))(a (^x.x))) REDUCED to normal form. ------ 134707/13895301. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134708/13895328. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b (^z.z)))) 5. ==[ beta ]==> ((^y.y)(b (^z.z))) 6. ==[ alpha ]==> ((^x.x)(b (^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134709/13895436. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134710/13895517. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 134711/13895850. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (((a a)(^y.y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y)(^z.z)))) 7. ==[ beta ]==> (b (((a a)(^x.x))(^z.z))) 8. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 134712/13895877. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)((a a)((a a) a))) REDUCED to normal form. ------ 134713/13895931. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(a a))) REDUCED to normal form. ------ 134714/13895958. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 134715/13895985. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))(b a))) REDUCED to normal form. ------ 134716/13896012. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134717/13896039. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 134718/13896057. ------ 1. ==[ start ]==> ((a (^a.b))(b (^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(b (^y.(a a)))) REDUCED to normal form. ------ 134719/13896102. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(a a))(^z.z))) REDUCED to normal form. ------ 134720/13896129. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 134721/13896156. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 134722/13896183. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))((b a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(^y.(y y)))) REDUCED to normal form. ------ 134723/13896210. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 134724/13896237. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> ((a (a b))((a a)(^y.a))) 4. ==[ alpha ]==> ((a (a b))((a a)(^x.a))) REDUCED to normal form. ------ 134725/13896246. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 134726/13896327. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) IRREDUCIBLE: cycle. ------ 134727/13896408. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134728/13896435. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a b)((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.x)((a a)(a a)))) 5. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 134729/13896516. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 134730/13896597. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 134731/13896624. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(^z.b))) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 134732/13896795. ------ 1. ==[ start ]==> (((^a.b) b)(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(a ((a a)(a a)))) 3. ==[ beta ]==> (b (a ((a a)(a a)))) REDUCED to normal form. ------ 134733/13896804. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a)) a)) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 134734/13896831. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.b) b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y) b)) 3. ==[ beta ]==> ((a (a a))((^y.y) b)) 4. ==[ alpha ]==> ((a (a a))((^x.x) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 134735/13897011. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b) b)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b) b)((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a b) b)((^y.y)(a a))) 6. ==[ alpha ]==> (((a b) b)((^x.x)(a a))) 7. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 134736/13897038. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) a)((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) a)((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 134737/13897065. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (b a))) REDUCED to normal form. ------ 134738/13897083. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(c (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (c (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (c (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 134739/13897092. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 134740/13897290. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)(^y.a))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.a))) REDUCED to normal form. ------ 134741/13897317. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)(^y.b))) REDUCED to normal form. ------ 134742/13897344. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((a ((a a) a))(^y.(a a))) 8. ==[ alpha ]==> ((a ((a a) a))(^x.(a a))) REDUCED to normal form. ------ 134743/13897425. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 134744/13897452. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 134745/13897479. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y) b) a)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) b) a)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) b) a)) 5. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 134746/13897506. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 134747/13897677. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134748/13897758. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 134749/13897785. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134750/13897794. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a ((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a b)) REDUCED to normal form. ------ 134751/13897821. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 134752/13897875. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134753/13897902. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a)(a (a a)))) REDUCED to normal form. ------ 134754/13897929. ------ 1. ==[ start ]==> (((a b)(^b.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))((a b)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.y))) REDUCED to normal form. ------ 134755/13897956. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 134756/13897983. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(a b))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 134757/13898127. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 7. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.y1))) 8. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 9. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 134758/13898154. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 134759/13898181. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) a)(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 134760/13898208. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 134761/13898235. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 134762/13898262. ------ 1. ==[ start ]==> ((a (b a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((a (b a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 134763/13898352. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (b ((^z.a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.a)((a a)(^y.y)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 134764/13898433. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 134765/13898541. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 134766/13898622. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (((a b)(a b))((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (((a b)(a b))((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 134767/13898685. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (b a))) REDUCED to normal form. ------ 134768/13898703. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 134769/13898712. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 134770/13898739. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((b a)(a a))) 3. ==[ beta ]==> (((a a)(^y.a))((b a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))((b a)(a a))) REDUCED to normal form. ------ 134771/13898766. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 134772/13899018. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((b a)(^z.z))) 3. ==[ beta ]==> (((a a)((^y.y) a))((b a)(^z.z))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((b a)(^y.y))) 5. ==[ beta ]==> (((a a) a)((b a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((b a)(^x.x))) REDUCED to normal form. ------ 134773/13899045. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 134774/13899099. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a b)(^z.(z z)))) REDUCED to normal form. ------ 134775/13899108. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134776/13899189. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(a b))) 5. ==[ beta ]==> ((a a)((^z.(z z))(a b))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a b))) 7. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 134777/13899270. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> (b ((^x1.x1)(b a))) 4. ==[ alpha ]==> (b ((^x.x)(b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 134778/13899378. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.b)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134779/13899432. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134780/13899486. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.(a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(a a)))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 134781/13899495. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(c (a a))) REDUCED to normal form. ------ 134782/13899522. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b ((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.b)(b ((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.b)(b ((a a)(^y.y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 134783/13899576. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 134784/13899603. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 134785/13899630. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a b)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a b) a)) REDUCED to normal form. ------ 134786/13899684. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 134787/13899828. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a b))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a b))(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> ((a b)(((a a)(^y.y))(^z.z))) 6. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 134788/13899855. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 134789/13899882. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b)(^z.a))) 3. ==[ beta ]==> (((a b)(^y.y))((a b)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 134790/13899909. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 134791/13899936. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 134792/13899990. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a (^x1.b))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a (^z.b))) REDUCED to normal form. ------ 134793/13900017. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 134794/13900026. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134795/13900053. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)((a a)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)((a a)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 134796/13900188. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134797/13900305. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a ((a a)(^z.z)))) REDUCED to normal form. ------ 134798/13900332. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((b a)(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> ((b a)(((^x.x)(a a))(a a))) 5. ==[ beta ]==> ((b a)((a a)(a a))) REDUCED to normal form. ------ 134799/13900359. ------ 1. ==[ start ]==> (((a a)(^b.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 134800/13900386. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a a) a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a a) a) a)) REDUCED to normal form. ------ 134801/13900467. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 134802/13900494. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))(a b))) REDUCED to normal form. ------ 134803/13900512. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b (^y.(a a)))) 3. ==[ beta ]==> (b (b (^y.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 134804/13900521. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 134805/13900692. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> (((a a) b)(a (^y.a))) 6. ==[ alpha ]==> (((a a) b)(a (^x.a))) REDUCED to normal form. ------ 134806/13900719. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(^y1.b))) REDUCED to normal form. ------ 134807/13900746. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a a)(^y.(a a)))) 3. ==[ beta ]==> ((a (b a))((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((a (b a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 134808/13900773. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 134809/13900800. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a b) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a b) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b) b)) 5. ==[ beta ]==> (((^y.y)(a a))((a b) b)) 6. ==[ alpha ]==> (((^x.x)(a a))((a b) b)) 7. ==[ beta ]==> ((a a)((a b) b)) REDUCED to normal form. ------ 134810/13900827. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((a a) a) c)) REDUCED to normal form. ------ 134811/13900989. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(a a)) a)) 3. ==[ beta ]==> ((b (a a))((^y.(a a)) a)) 4. ==[ alpha ]==> ((b (a a))((^x.(a a)) a)) 5. ==[ beta ]==> ((b (a a))(a a)) REDUCED to normal form. ------ 134812/13901016. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.b) b)) 3. ==[ beta ]==> ((a ((a a)(a a))) b) REDUCED to normal form. ------ 134813/13901187. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.(a a)))) 3. ==[ beta ]==> (b (a (^z.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 134814/13901295. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(y1 y1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134815/13901376. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.y)(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a b))) 5. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 134816/13901403. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 134817/13901457. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 134818/13901520. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(c (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c (^y.y))) REDUCED to normal form. ------ 134819/13901538. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134820/13901547. ------ 1. ==[ start ]==> (((a b)(^a.b))(b ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))(b ((a a) a))) REDUCED to normal form. ------ 134821/13901601. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a)(a a))) REDUCED to normal form. ------ 134822/13901655. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((a (a a)) a)) REDUCED to normal form. ------ 134823/13901682. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 134824/13901709. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 134825/13901772. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b)(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)(^y.y))) REDUCED to normal form. ------ 134826/13901799. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 134827/13901826. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (a a))(^x.a))) REDUCED to normal form. ------ 134828/13901853. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.(z z)))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 134829/13901880. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 134830/13901907. ------ 1. ==[ start ]==> (((a b)(a b))((a a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a b))((a a)(^x.a))) REDUCED to normal form. ------ 134831/13901934. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((a a) a) a)) 3. ==[ beta ]==> (((a a)((a a) a))(((a a) a) a)) REDUCED to normal form. ------ 134832/13901961. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1) b)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z) b)) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 134833/13902096. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^c.a) a)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a) a)) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 134834/13902267. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134835/13902375. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134836/13902483. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 134837/13902510. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134838/13902546. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(a a))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 134839/13902573. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a (a (^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (a (^x1.x1)))) REDUCED to normal form. ------ 134840/13902645. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 134841/13902753. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134842/13902879. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a a)) REDUCED to normal form. ------ 134843/13902906. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.a) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a))) a) REDUCED to normal form. ------ 134844/13902933. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a b)((^y.(^z.z)) c)) 6. ==[ alpha ]==> ((a b)((^x.(^y.y)) c)) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 134845/13902987. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(b a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((b a)(((^y.y) a)(^z.z))) 6. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.y))) 7. ==[ beta ]==> ((b a)(a (^y.y))) 8. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 134846/13903014. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 134847/13903041. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a a)(^y.a))) 3. ==[ beta ]==> (((a b)(a a))((a a)(^y.a))) 4. ==[ alpha ]==> (((a b)(a a))((a a)(^x.a))) REDUCED to normal form. ------ 134848/13903068. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(((^y.y) a) a)) 3. ==[ beta ]==> (((a a)(a b))(((^y.y) a) a)) 4. ==[ alpha ]==> (((a a)(a b))(((^x.x) a) a)) 5. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 134849/13903095. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (^y.y)) b)) REDUCED to normal form. ------ 134850/13903149. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a))) a) REDUCED to normal form. ------ 134851/13903176. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((b a)((^y.(^z.z)) b)) 6. ==[ alpha ]==> ((b a)((^x.(^y.y)) b)) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 134852/13903257. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 134853/13903347. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.z))) 5. ==[ beta ]==> ((^y.y)(b (^z.z))) 6. ==[ alpha ]==> ((^x.x)(b (^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134854/13903428. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134855/13904853. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(b (^z.z)))) 3. ==[ beta ]==> (((^y.(b (^z.z)))(^y.(b (^z.z))))(^y.(b (^z.z)))) 4. ==[ alpha ]==> (((^x.(b (^y.y)))(^z.(b (^x1.x1))))(^y1.(b (^z1.z1)))) 5. ==[ beta ]==> ((b (^y.y))(^y1.(b (^z1.z1)))) 6. ==[ alpha ]==> ((b (^x.x))(^y.(b (^z.z)))) REDUCED to normal form. ------ 134856/13911225. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134857/13912935. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ eta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 134858/13913205. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)(b (^y.y)))) 3. ==[ beta ]==> (((a a)(b (^y.y)))(((a a)(b (^y.y)))((a a)(b (^y.y))))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(((a a)(b (^y.y)))((a a)(b (^z.z))))) REDUCED to normal form. ------ 134859/13913430. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134860/13913988. ------ 1. ==[ start ]==> ((^a.((a a) a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(a (b (^y.y)))) 3. ==[ beta ]==> (((a (b (^y.y)))(a (b (^y.y))))(a (b (^y.y)))) 4. ==[ alpha ]==> (((a (b (^x.x)))(a (b (^y.y))))(a (b (^z.z)))) REDUCED to normal form. ------ 134861/13913991. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(b (^y.y)))) REDUCED to normal form. ------ 134862/13914702. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 134863/13914711. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((a a)(a a)))) REDUCED to normal form. ------ 134864/13915062. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 134865/13915071. ------ 1. ==[ start ]==> (((a b)(a a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((x x)(x x)))) REDUCED to normal form. ------ 134866/13915095. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((^y.y)((((^z.z) b)(a a))(((^z.z) b)(a a)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) b)(a a))(((^z.z) b)(a a)))) 5. ==[ beta ]==> ((((^y.y) b)(a a))(((^z.z) b)(a a))) 6. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y) b)(a a))) 7. ==[ beta ]==> ((b (a a))(((^y.y) b)(a a))) 8. ==[ alpha ]==> ((b (a a))(((^x.x) b)(a a))) 9. ==[ beta ]==> ((b (a a))(b (a a))) REDUCED to normal form. ------ 134867/13915413. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 134868/13916061. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 134869/13916979. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 134870/13917258. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(b a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(b a))) REDUCED to normal form. ------ 134871/13917537. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (b (^x1.(^y1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 134872/13918572. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 134873/13918788. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 134874/13918815. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 134875/13919256. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((b (a a))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((b (a a))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((b (a a))(^x.(x x))) REDUCED to normal form. ------ 134876/13919280. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a b)(a a))) 3. ==[ beta ]==> ((((a b)(a a))((a b)(a a)))(((a b)(a a))((a b)(a a)))) REDUCED to normal form. ------ 134877/13920360. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a ((a a) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134878/13920363. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.((y y) y))) REDUCED to normal form. ------ 134879/13920921. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 134880/13921029. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(a (a a)))) REDUCED to normal form. ------ 134881/13921146. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(y (y y)))) REDUCED to normal form. ------ 134882/13921416. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 134883/13921521. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(b b)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(b b)) 3. ==[ eta ]==> ((^y.(^z.z))(b b)) 4. ==[ alpha ]==> ((^x.(^y.y))(b b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134884/13921695. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (b (^x1.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 134885/13921770. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> (a ((^y.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (a ((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 134886/13921797. ------ 1. ==[ start ]==> (((a a) a)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 134887/13921851. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134888/13921878. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134889/13921905. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 134890/13922022. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 134891/13922049. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(b a)) REDUCED to normal form. ------ 134892/13922076. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 134893/13922265. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) a)((a (a a))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a) a)((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 134894/13922292. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a b)) REDUCED to normal form. ------ 134895/13922319. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))((a a)(a a)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 134896/13922346. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a a)(b (^x.x)))) REDUCED to normal form. ------ 134897/13922382. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((b (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 134898/13922418. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 134899/13922436. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(^x1.a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 7. ==[ beta ]==> (((^y.y) b)(^z.a)) 8. ==[ alpha ]==> (((^x.x) b)(^y.a)) 9. ==[ beta ]==> (b (^y.a)) 10. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 134900/13922445. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y) a)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x) a)) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 134901/13922463. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 134902/13922472. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 134903/13922490. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 134904/13922544. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.b))) 5. ==[ beta ]==> (((a a)(a a))((a a)(^y.b))) 6. ==[ alpha ]==> (((a a)(a a))((a a)(^x.b))) REDUCED to normal form. ------ 134905/13922553. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 134906/13922571. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(a a)))) REDUCED to normal form. ------ 134907/13922661. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((b b)((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((b b)((a (^y.(^z.z)))(a (^y.(^z.z))))) 6. ==[ alpha ]==> ((b b)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 134908/13922706. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134909/13922787. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(a a)) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(a a)) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a)) b)) 5. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 7. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 134910/13922796. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 134911/13922823. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.a))) 5. ==[ beta ]==> (a ((^y.y)(^z.a))) 6. ==[ alpha ]==> (a ((^x.x)(^y.a))) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 134912/13922850. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 134913/13922904. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 134914/13922931. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 134915/13922958. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 7. ==[ beta ]==> ((^y.b)(^z.(a a))) 8. ==[ alpha ]==> ((^x.b)(^y.(a a))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 134916/13923102. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(b ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(b ((a a)(a a)))) 5. ==[ beta ]==> ((a a)(b ((a a)(a a)))) REDUCED to normal form. ------ 134917/13923129. ------ 1. ==[ start ]==> ((a ((a a) a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(a (b (^x.x)))) REDUCED to normal form. ------ 134918/13923165. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 134919/13923480. ------ 1. ==[ start ]==> (((a a)((a a) a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 134920/13923633. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134921/13923651. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 134922/13923795. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 134923/13923813. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 134924/13923822. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 134925/13923840. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)(^y.(a a)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 134926/13923849. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)(a a))) REDUCED to normal form. ------ 134927/13923867. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 134928/13923903. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 134929/13923930. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 134930/13924011. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 134931/13924182. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b ((^y.y) b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(b b)) REDUCED to normal form. ------ 134932/13924200. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 134933/13924209. ------ 1. ==[ start ]==> (((a b)(a a))(a ((a a)(a a)))) REDUCED to normal form. ------ 134934/13924236. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) b)(a a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b)(a a))) 5. ==[ beta ]==> ((a (a a))(b (a a))) REDUCED to normal form. ------ 134935/13924245. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z) b)) 3. ==[ beta ]==> ((^y.(a a))((^z.z) b)) 4. ==[ alpha ]==> ((^x.(a a))((^y.y) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 134936/13924272. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.(^z1.z1))) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) c)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) c) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) c) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134937/13924497. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 134938/13924551. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 134939/13924578. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(a a))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 134940/13924605. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 134941/13924623. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((b a)(^z.a))) 3. ==[ beta ]==> (b ((b a)(^z.a))) 4. ==[ alpha ]==> (b ((b a)(^x.a))) REDUCED to normal form. ------ 134942/13924848. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 134943/13924947. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((b a) c)) 3. ==[ beta ]==> ((^y.y)((b a) c)) 4. ==[ alpha ]==> ((^x.x)((b a) c)) 5. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 134944/13925091. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 134945/13925118. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) b)(^y.y)) 8. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 134946/13925199. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 134947/13925244. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 134948/13925424. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 134949/13925451. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 134950/13925478. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.y))(b a))) 3. ==[ beta ]==> ((a (a b))((a (^y.y))(b a))) 4. ==[ alpha ]==> ((a (a b))((a (^x.x))(b a))) REDUCED to normal form. ------ 134951/13925505. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 134952/13925757. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> (b (a (^y.(^z.z)))) 8. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 134953/13925838. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 134954/13925901. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 134955/13926009. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 134956/13926036. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 134957/13926117. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 134958/13926234. ------ 1. ==[ start ]==> (((a a)(b a))((a b)(a (a a)))) REDUCED to normal form. ------ 134959/13926261. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 134960/13926288. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((a a) a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((a a) a))) 7. ==[ beta ]==> ((a (a a))((^y.y)((a a) a))) 8. ==[ alpha ]==> ((a (a a))((^x.x)((a a) a))) 9. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 134961/13926315. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a))(a b))) REDUCED to normal form. ------ 134962/13926342. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)(a ((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a) a)(a ((^x.x)(a a)))) 9. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 134963/13926369. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 134964/13926396. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)(b a))) REDUCED to normal form. ------ 134965/13926495. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134966/13926513. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 134967/13926594. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a))(^z.b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))(^z.b))) 5. ==[ beta ]==> ((a a)((a (a a))(^z.b))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.b))) REDUCED to normal form. ------ 134968/13926792. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 134969/13926900. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 134970/13926927. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 134971/13927125. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (a a))((a a) a))) REDUCED to normal form. ------ 134972/13927152. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a (a b))) REDUCED to normal form. ------ 134973/13927179. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 134974/13927206. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 134975/13927386. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134976/13927431. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 134977/13927710. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.x1))) REDUCED to normal form. ------ 134978/13927755. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(a a)) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a)) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a)) b)) 5. ==[ beta ]==> (b ((^y.(a a)) b)) 6. ==[ alpha ]==> (b ((^x.(a a)) b)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 134979/13927782. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.b) c)) 3. ==[ beta ]==> ((^y.y)((^y1.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 134980/13927899. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c (^y.b))) REDUCED to normal form. ------ 134981/13927926. ------ 1. ==[ start ]==> (((a b)(^c.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.(a a)))) REDUCED to normal form. ------ 134982/13927953. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 134983/13927980. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 134984/13928025. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((a a) a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134985/13928061. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 134986/13928367. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (a b))) REDUCED to normal form. ------ 134987/13928394. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((b (a a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((b (a a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((b (a a))(a (a a))) REDUCED to normal form. ------ 134988/13928421. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a b)(a a))) REDUCED to normal form. ------ 134989/13928457. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)((^x1.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 134990/13928700. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 134991/13928736. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 134992/13928763. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 134993/13928781. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a a)(^y.b))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.b))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.b))) REDUCED to normal form. ------ 134994/13928808. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 134995/13928817. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 134996/13928862. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((b a)(b a))(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (((b a)(b a))((^y.y) c)) 6. ==[ alpha ]==> (((b a)(b a))((^x.x) c)) 7. ==[ beta ]==> (((b a)(b a)) c) REDUCED to normal form. ------ 134997/13928925. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 134998/13928952. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 134999/13929051. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135000/13929150. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a)((a a) a))) REDUCED to normal form. ------ 135001/13929447. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(c (a (a a)))) 3. ==[ beta ]==> ((b (a (^y.y)))(c (a (a a)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(c (a (a a)))) REDUCED to normal form. ------ 135002/13929474. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(b (^y.y))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(b (^x.x))) REDUCED to normal form. ------ 135003/13929501. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 135004/13929672. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135005/13929780. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135006/13929816. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b c)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b c)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 135007/13929843. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) b)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 6. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 135008/13929969. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(y1 y1)) b)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b b)) REDUCED to normal form. ------ 135009/13930059. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 135010/13930086. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(a a))) 5. ==[ beta ]==> (((a a)(^x.b))((a a)(a a))) REDUCED to normal form. ------ 135011/13930158. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135012/13930167. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (a a))) REDUCED to normal form. ------ 135013/13930194. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((b (^y.a))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((b (^x.a))((^z.z)(^z.z))) 6. ==[ alpha ]==> ((b (^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> ((b (^x.a))(^z.z)) 8. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 135014/13930221. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 135015/13930284. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 135016/13930311. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a (a a))) REDUCED to normal form. ------ 135017/13930338. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a b)((a (^y.y))(a (^z.z)))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 135018/13930365. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))((a a) a)) REDUCED to normal form. ------ 135019/13930446. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(b c)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(b c)) 3. ==[ beta ]==> (((a b)(a a))(b c)) REDUCED to normal form. ------ 135020/13930554. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(a a)) REDUCED to normal form. ------ 135021/13930581. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a (^z.z))(a a))) 3. ==[ beta ]==> ((b ((^y.y) a))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a (^y.y))(a a))) 5. ==[ beta ]==> ((b a)((a (^y.y))(a a))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(a a))) REDUCED to normal form. ------ 135022/13930608. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 135023/13930662. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(b b)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(b b)) 3. ==[ beta ]==> ((a (^y.y))(b b)) 4. ==[ alpha ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 135024/13930752. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135025/13930833. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 135026/13938639. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135027/13940061. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^z.(a a)))((^y.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> ((a a)((^z.(a a))(^x1.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 135028/13940088. ------ 1. ==[ start ]==> ((^a.b)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 135029/13940169. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^z.(z z))(^x1.x1))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.z)) 5. ==[ beta ]==> (((^y.y)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135030/13940262. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> (((^x.(^y.y))(a a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 135031/13940286. ------ 1. ==[ start ]==> ((^a.(^b.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((b (^z.z))(a a))) 3. ==[ beta ]==> (^y.((b (^z.z))(a a))) 4. ==[ alpha ]==> (^x.((b (^y.y))(a a))) REDUCED to normal form. ------ 135032/13940529. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 135033/13940979. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135034/13941744. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 135035/13941924. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 135036/13942134. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 135037/13942494. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 135038/13943169. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x)(a a))(a a))(^z.z)) 4. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.y)) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 135039/13943193. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))((^z.z)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135040/13943817. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 135041/13943949. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 135042/13944498. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(a a))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 135043/13944708. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 135044/13944786. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((^x1.(a a))((^y1.y1) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(a a))((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 135045/13945257. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.b)((^y.y)(^z.z))) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 135046/13945389. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135047/13945704. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(a b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 135048/13946463. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^y.(a a))) REDUCED to normal form. ------ 135049/13946679. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 135050/13946877. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a b))) 3. ==[ beta ]==> (b (^z.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 135051/13947462. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.b))) REDUCED to normal form. ------ 135052/13947624. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.((a a) a))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.((a a) a))) REDUCED to normal form. ------ 135053/13947783. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135054/13947786. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 135055/13948335. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 135056/13948569. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 135057/13948677. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 135058/13948758. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(a b))(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y) a))) 5. ==[ beta ]==> (((a a)(a b))(^x.a)) REDUCED to normal form. ------ 135059/13948839. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^x1.a))) REDUCED to normal form. ------ 135060/13948944. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(^y1.y1))(a a))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135061/13949037. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 7. ==[ beta ]==> (^y.(y (^z.z))) 8. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 135062/13949118. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (b (^x1.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 135063/13949211. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(a a)))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 135064/13949238. ------ 1. ==[ start ]==> ((a b)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 135065/13949292. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 135066/13949319. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 135067/13949382. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (b (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(b (b (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(b (b (^y.y)))) REDUCED to normal form. ------ 135068/13949409. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((^y.y)(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 135069/13949436. ------ 1. ==[ start ]==> ((a (^b.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.a))((b (^y.y))(a a))) REDUCED to normal form. ------ 135070/13949472. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135071/13949517. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 135072/13949544. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((b a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 135073/13949598. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (a (((^y.y)(a a))(a b))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(a b))) 7. ==[ beta ]==> (a ((a a)(a b))) REDUCED to normal form. ------ 135074/13949625. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 135075/13949679. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(b a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(b a))) 5. ==[ beta ]==> ((a (^x.(x x)))(b a)) REDUCED to normal form. ------ 135076/13949787. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(b (^z.z)))) 3. ==[ beta ]==> ((^y.(y y))((a a)(b (^z.z)))) 4. ==[ alpha ]==> ((^x.(x x))((a a)(b (^y.y)))) 5. ==[ beta ]==> (((a a)(b (^y.y)))((a a)(b (^y.y)))) 6. ==[ alpha ]==> (((a a)(b (^x.x)))((a a)(b (^y.y)))) REDUCED to normal form. ------ 135077/13949850. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(((a a)(a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 135078/13949877. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) b)(^y.a))) 3. ==[ beta ]==> (((a (a a)) a)(b (^y.a))) 4. ==[ alpha ]==> (((a (a a)) a)(b (^x.a))) REDUCED to normal form. ------ 135079/13949904. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 135080/13949931. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 135081/13949985. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a a)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 135082/13950021. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 135083/13950075. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 135084/13950093. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((b b)((a (a a))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b b)((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 135085/13950102. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a))(a a))((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a (a a))(a a))((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 135086/13950129. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 135087/13950228. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(a a)) b)) REDUCED to normal form. ------ 135088/13950255. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) b) c)) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) b) c)) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) b) c)) 5. ==[ beta ]==> (a (((^y.y) b) c)) 6. ==[ alpha ]==> (a (((^x.x) b) c)) 7. ==[ beta ]==> (a (b c)) REDUCED to normal form. ------ 135089/13950480. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 135090/13950507. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 135091/13950597. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 135092/13950651. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> (a ((a (^z.(^x1.x1)))((^y1.y1) a))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))((^z.z) a))) 7. ==[ beta ]==> (a ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 135093/13950732. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a)((a a) a))) REDUCED to normal form. ------ 135094/13950759. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a b)(a b))) 3. ==[ beta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 135095/13950813. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((a a)(^z.z)))) 9. ==[ beta ]==> ((a a)((^y.y)((a a)(^z.z)))) 10. ==[ alpha ]==> ((a a)((^x.x)((a a)(^y.y)))) 11. ==[ beta ]==> ((a a)((a a)(^y.y))) 12. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 135096/13950894. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a (^x.b))((a (^y.y)) b)) REDUCED to normal form. ------ 135097/13950912. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(b (^x.(a a)))) REDUCED to normal form. ------ 135098/13950993. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a)) a)(a (^y.y))) 6. ==[ alpha ]==> (((a (a a)) a)(a (^x.x))) REDUCED to normal form. ------ 135099/13951020. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 135100/13951065. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 135101/13951074. ------ 1. ==[ start ]==> ((a (a b))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 135102/13951227. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a) b)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a) b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 135103/13951254. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 135104/13951281. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.(a a)))) REDUCED to normal form. ------ 135105/13951335. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) b) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 135106/13951479. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.b)(^y.b))) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 135107/13951533. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 135108/13951587. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (a ((^y.a)(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> (a ((^x.a)(^y.(^z.(^x1.x1))))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135109/13951614. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 135110/13951641. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(a a))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(a a))) REDUCED to normal form. ------ 135111/13951677. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) b)(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135112/13951704. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 135113/13951758. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (a a)))) 7. ==[ beta ]==> (((a a)(^y.y))(a (a a))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 135114/13951839. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)(a b))) 3. ==[ beta ]==> (b (((a a) a)(a b))) REDUCED to normal form. ------ 135115/13951893. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (a a))((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a (a a))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 135116/13951920. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(b a))) 5. ==[ beta ]==> (((^y.y) a)(b a)) 6. ==[ alpha ]==> (((^x.x) a)(b a)) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 135117/13951974. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)((^x1.x1) b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)((^y1.y1) b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)((^y1.y1) b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)((^x1.x1) b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)((^x1.x1) b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.z) b))) 9. ==[ beta ]==> ((^y.y)((a a)((^z.z) b))) 10. ==[ alpha ]==> ((^x.x)((a a)((^y.y) b))) 11. ==[ beta ]==> ((a a)((^y.y) b)) 12. ==[ alpha ]==> ((a a)((^x.x) b)) 13. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 135118/13952010. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) b)(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) b)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) b)(^z.z))) 7. ==[ beta ]==> ((((^y.y) b)(^z.z))(((^y.y) b)(^z.z))) 8. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z) b)(^x1.x1))) 9. ==[ beta ]==> ((b (^y.y))(((^z.z) b)(^x1.x1))) 10. ==[ alpha ]==> ((b (^x.x))(((^y.y) b)(^z.z))) 11. ==[ beta ]==> ((b (^x.x))(b (^z.z))) 12. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 135119/13952037. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 135120/13952064. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((b a)(^z.a))) REDUCED to normal form. ------ 135121/13952091. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 135122/13952127. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 135123/13952154. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 135124/13952208. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 135125/13952235. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))((a a)(^y.y)))) 7. ==[ beta ]==> ((a (a a))(((a a)(^y.y))((a a)(^y.y)))) 8. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 135126/13952262. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)(b a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)(b a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)(b a))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 135127/13952280. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 135128/13952289. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 135129/13952316. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y) b))) 5. ==[ beta ]==> (((a a)(a a))((^y.y) b)) 6. ==[ alpha ]==> (((a a)(a a))((^x.x) b)) 7. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 135130/13952343. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 135131/13952622. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 135132/13952658. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z) a)) 3. ==[ beta ]==> ((a (^y.b))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.b))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 135133/13952676. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 135134/13952757. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 135135/13952910. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (^d.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c (^y.a))) 3. ==[ beta ]==> ((a (a b))(c (^y.a))) 4. ==[ alpha ]==> ((a (a b))(c (^x.a))) REDUCED to normal form. ------ 135136/13952937. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 135137/13952964. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 7. ==[ beta ]==> ((^y.y)(a (^z.z))) 8. ==[ alpha ]==> ((^x.x)(a (^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 135138/13952991. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 135139/13953072. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 135140/13953099. ------ 1. ==[ start ]==> ((a (b a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 135141/13953333. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a)(^y.y)) c)) REDUCED to normal form. ------ 135142/13953540. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b (b a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b (b a))) 3. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 135143/13953576. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 135144/13953648. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 135145/13953855. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 135146/13953927. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135147/13953936. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 135148/13954404. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 135149/13954467. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(a a)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 135150/13954512. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135151/13954539. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 135152/13954638. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 135153/13954719. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 135154/13954746. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 135155/13954818. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (a a))(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135156/13954827. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 135157/13954854. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(a b))) 3. ==[ beta ]==> ((a b)((^y.a)(a b))) 4. ==[ alpha ]==> ((a b)((^x.a)(a b))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 135158/13955133. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b ((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135159/13955169. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z)) a)) 3. ==[ beta ]==> ((b a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((b a)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 135160/13955187. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (b (((^y.y)(a a))(a a))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(a a))) 7. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 135161/13955196. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 135162/13955214. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 135163/13955223. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.b) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 135164/13955268. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)(a (a a)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(a (a a)))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (a a))) REDUCED to normal form. ------ 135165/13955349. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (^y.y))(a b))) 3. ==[ beta ]==> (b ((a (^y.y))(a b))) 4. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 135166/13955412. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(^z.z))) REDUCED to normal form. ------ 135167/13955466. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((a a) a)(^y1.a))) REDUCED to normal form. ------ 135168/13955493. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> ((b (^x.x))(^z.(z z))) 8. ==[ alpha ]==> ((b (^x.x))(^y.(y y))) REDUCED to normal form. ------ 135169/13955529. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a) b)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a) b)((^y.y)(^z.z))) 10. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 11. ==[ beta ]==> (((a a) b)(^y.y)) 12. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 135170/13955556. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 135171/13955583. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 135172/13955610. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 135173/13955637. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.z))) 7. ==[ beta ]==> ((a a)((^y.(a a))(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.y))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 135174/13955664. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b)) b) REDUCED to normal form. ------ 135175/13955691. ------ 1. ==[ start ]==> (((a b)((a a) a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 135176/13955718. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 135177/13955745. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 135178/13955799. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 135179/13955826. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((b (a a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((b (a a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((b (a a))(^y.(a a))) 6. ==[ alpha ]==> ((b (a a))(^x.(a a))) REDUCED to normal form. ------ 135180/13955889. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 135181/13956024. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(a b))) 3. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 135182/13956168. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 135183/13956249. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b) a)) REDUCED to normal form. ------ 135184/13956276. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((a a) a) b)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((a a) a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a) b)) REDUCED to normal form. ------ 135185/13956375. ------ 1. ==[ start ]==> (((^a.b)(a b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (b (c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 135186/13956438. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 135187/13956483. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135188/13956492. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 135189/13956582. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(b (^x.a))) REDUCED to normal form. ------ 135190/13956609. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a (^z.b))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.b))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.b))) REDUCED to normal form. ------ 135191/13956663. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 135192/13956690. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x))(((^z.z) a)((^z.z) a))) 8. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z) a))) 9. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z) a))) 10. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 11. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 135193/13956717. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 135194/13956744. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 135195/13956771. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)((a a) a))) 5. ==[ beta ]==> (((a a)((a a) a))((a a) a)) REDUCED to normal form. ------ 135196/13956852. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a)(^x1.a))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.a))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 135197/13956879. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 135198/13956906. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 135199/13956933. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.a)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.a)) REDUCED to normal form. ------ 135200/13957023. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1) a)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2) a)((^y2.y2) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2) a)((^y2.y2) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135201/13957248. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((b c)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((b c)(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((b c)((^y.y) a)) 6. ==[ alpha ]==> ((b c)((^x.x) a)) 7. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 135202/13957275. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (a a)) b)) REDUCED to normal form. ------ 135203/13957320. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(c ((^z.z) a))) 3. ==[ beta ]==> ((b (^y.y))(c ((^z.z) a))) 4. ==[ alpha ]==> ((b (^x.x))(c ((^y.y) a))) 5. ==[ beta ]==> ((b (^x.x))(c a)) REDUCED to normal form. ------ 135204/13957347. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 135205/13957383. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 135206/13957401. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (a a))(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (a a))(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (a a))(a a))) REDUCED to normal form. ------ 135207/13957410. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(b b)) REDUCED to normal form. ------ 135208/13957482. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 135209/13957518. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^y.b))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(^y.y))) REDUCED to normal form. ------ 135210/13957599. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 135211/13957626. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (a a)) a)) 3. ==[ beta ]==> ((b (^y.a))((a (a a)) a)) 4. ==[ alpha ]==> ((b (^x.a))((a (a a)) a)) REDUCED to normal form. ------ 135212/13957653. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 135213/13957716. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 135214/13957770. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(c (^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(c (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 135215/13957797. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(b (^z.a))) REDUCED to normal form. ------ 135216/13957824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(a (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(b a))(a (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(b a))(a (^y.(y y)))) 5. ==[ beta ]==> ((b a)(a (^y.(y y)))) 6. ==[ alpha ]==> ((b a)(a (^x.(x x)))) REDUCED to normal form. ------ 135217/13957851. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x))) a) REDUCED to normal form. ------ 135218/13957878. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 135219/13957905. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a b))((^y.y) a)) 6. ==[ alpha ]==> (((a a)(a b))((^x.x) a)) 7. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 135220/13957932. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a)) a) REDUCED to normal form. ------ 135221/13957986. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.a)) REDUCED to normal form. ------ 135222/13958013. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(c (^z.z))) 3. ==[ beta ]==> ((b ((^y.y) a))(c (^z.z))) 4. ==[ alpha ]==> ((b ((^x.x) a))(c (^y.y))) 5. ==[ beta ]==> ((b a)(c (^y.y))) 6. ==[ alpha ]==> ((b a)(c (^x.x))) REDUCED to normal form. ------ 135223/13958040. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 135224/13958094. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 135225/13958184. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (a (^z.z)))) 6. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 135226/13958265. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 135227/13967721. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 135228/13968303. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 135229/13968429. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135230/13969194. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (^z.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 135231/13969374. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 135232/13969602. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 5. ==[ beta ]==> (^y.((a a)(a a))) 6. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 135233/13969761. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.(a a))(^x1.a))((^z.(a a))(^x1.a)))) 4. ==[ alpha ]==> (^x.(((^y.(a a))(^z.a))((^x1.(a a))(^y1.a)))) 5. ==[ beta ]==> (^x.((a a)((^x1.(a a))(^y1.a)))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a))(^z.a)))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 135234/13970286. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 135235/13970643. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) b) a)) 3. ==[ beta ]==> (((((^z.z) b) a)(((^z.z) b) a))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) b) a)(((^y.y) b) a))(^z.z)) 5. ==[ beta ]==> (((b a)(((^y.y) b) a))(^z.z)) 6. ==[ alpha ]==> (((b a)(((^x.x) b) a))(^y.y)) 7. ==[ beta ]==> (((b a)(b a))(^y.y)) 8. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 135236/13970961. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.b))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z) b))) 5. ==[ beta ]==> ((a (^x.b))(^y.b)) REDUCED to normal form. ------ 135237/13971399. ------ 1. ==[ start ]==> ((^a.(b a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a b)(^y.(^z.z)))) 3. ==[ eta ]==> (b ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 135238/13971573. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 135239/13971879. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 135240/13972236. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((((^x1.x1)(a a))(^y1.a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 135241/13972716. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(b z))) 3. ==[ eta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 135242/13973154. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 135243/13973472. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((b a)(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((b a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 135244/13973688. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 135245/13974153. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(a a)) a)) 3. ==[ beta ]==> ((((^y.(a a)) a)((^y.(a a)) a))(((^y.(a a)) a)((^y.(a a)) a))) 4. ==[ alpha ]==> ((((^x.(a a)) a)((^y.(a a)) a))(((^z.(a a)) a)((^x1.(a a)) a))) 5. ==[ beta ]==> (((a a)((^y.(a a)) a))(((^z.(a a)) a)((^x1.(a a)) a))) 6. ==[ alpha ]==> (((a a)((^x.(a a)) a))(((^y.(a a)) a)((^z.(a a)) a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.(a a)) a)((^z.(a a)) a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.(a a)) a)((^y.(a a)) a))) 9. ==[ beta ]==> (((a a)(a a))((a a)((^y.(a a)) a))) 10. ==[ alpha ]==> (((a a)(a a))((a a)((^x.(a a)) a))) 11. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 135246/13974543. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(^y.y))((^z.z) b)) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 135247/13974741. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 b))) REDUCED to normal form. ------ 135248/13975407. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 135249/13975686. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 135250/13975794. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(a (a a)))) REDUCED to normal form. ------ 135251/13976019. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^c.d)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.d)) REDUCED to normal form. ------ 135252/13976208. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.a))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.a))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 135253/13976394. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a (^x1.x1))(^y1.y1))) 3. ==[ eta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135254/13976487. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 135255/13976568. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (b (^x1.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 135256/13976679. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135257/13976706. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 135258/13976787. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135259/13976814. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 135260/13976850. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (b (^z.z)))) REDUCED to normal form. ------ 135261/13976877. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 135262/13976931. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 135263/13977012. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)((b a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)((b a)(^y.y))) REDUCED to normal form. ------ 135264/13977039. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))((a a) a))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 135265/13977066. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(a b))) REDUCED to normal form. ------ 135266/13977093. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a b)(a a))) REDUCED to normal form. ------ 135267/13977120. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 135268/13977228. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((a a)((a (^y.y))((a a)(a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 135269/13977354. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 135270/13977381. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.(^z1.z1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 135271/13977462. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 135272/13977480. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a b)(^x.(a a)))) REDUCED to normal form. ------ 135273/13977561. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 135274/13977588. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 135275/13977597. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135276/13977624. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135277/13977732. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 135278/13977759. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 135279/13978146. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((b a)(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)((b a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)((b a)(a (a a)))) 5. ==[ beta ]==> (b ((b a)(a (a a)))) REDUCED to normal form. ------ 135280/13978173. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 135281/13978227. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(a b))) REDUCED to normal form. ------ 135282/13978254. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(((a a) a)(a a))) REDUCED to normal form. ------ 135283/13978281. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.a))((a a)(^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 135284/13978308. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135285/13978335. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 135286/13978353. ------ 1. ==[ start ]==> ((a (^a.b))(c (^b.b))) 2. ==[ alpha ]==> ((a (^x.b))(c (^y.y))) REDUCED to normal form. ------ 135287/13978425. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> ((a (a (a a)))(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 135288/13978452. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a)) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 135289/13978479. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 135290/13978506. ------ 1. ==[ start ]==> ((((a a) a)(a a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((b a)(^x.(x x)))) REDUCED to normal form. ------ 135291/13978533. ------ 1. ==[ start ]==> ((a (a b))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 135292/13978542. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 135293/13978704. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 135294/13978731. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 135295/13978758. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)(a a))) 6. ==[ alpha ]==> ((^x.x)((a a)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 135296/13978812. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 135297/13978893. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135298/13978920. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 135299/13979091. ------ 1. ==[ start ]==> (((^a.b) b)(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) b)(b ((^y.y) b))) 3. ==[ beta ]==> (b (b ((^y.y) b))) 4. ==[ alpha ]==> (b (b ((^x.x) b))) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 135300/13979307. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)(a b))) REDUCED to normal form. ------ 135301/13979334. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 9. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 135302/13979361. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 135303/13979388. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (b a))) REDUCED to normal form. ------ 135304/13979433. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b (^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.y1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.y1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.z))) 9. ==[ beta ]==> ((^y.y)(b (^z.z))) 10. ==[ alpha ]==> ((^x.x)(b (^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135305/13979442. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 135306/13979514. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 135307/13979586. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 135308/13979613. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b)(^y.a))) REDUCED to normal form. ------ 135309/13979640. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((a a) a)(^y.b))) 3. ==[ beta ]==> ((a ((a a) a))(((a a) a)(^y.b))) 4. ==[ alpha ]==> ((a ((a a) a))(((a a) a)(^x.b))) REDUCED to normal form. ------ 135310/13979667. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> (((a (a a))(^x.x))(^z.(a a))) 8. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(a a))) REDUCED to normal form. ------ 135311/13979748. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 135312/13979775. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a a)(^y.y))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 135313/13979802. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) b) a)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(b a)) REDUCED to normal form. ------ 135314/13979838. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 135315/13979973. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.b))) 3. ==[ beta ]==> (b ((^z.a)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 135316/13980081. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135317/13980090. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 135318/13980117. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a ((^z.z) b))) 3. ==[ beta ]==> ((a (^y.b))(a ((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.b))(a ((^y.y) b))) 5. ==[ beta ]==> ((a (^x.b))(a b)) REDUCED to normal form. ------ 135319/13980171. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((b a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((b a)(a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135320/13980198. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 135321/13980225. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.a))((a a)(a (a a)))) REDUCED to normal form. ------ 135322/13980252. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a b)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 135323/13980279. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a)((a a) a))) REDUCED to normal form. ------ 135324/13980450. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 135325/13980477. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 135326/13980504. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 135327/13980531. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 135328/13980558. ------ 1. ==[ start ]==> ((a (b a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 135329/13980648. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (b ((^z.(z z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(a a)))) 7. ==[ beta ]==> (b (((^y.y)(a a))((^y.y)(a a)))) 8. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(a a)))) 9. ==[ beta ]==> (b ((a a)((^y.y)(a a)))) 10. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 11. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 135330/13980729. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 135331/13980837. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((b a)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((b a)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 135332/13980864. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 135333/13980918. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 135334/13980981. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c ((a a)(^z.z)))) REDUCED to normal form. ------ 135335/13981008. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (b a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (b a))) REDUCED to normal form. ------ 135336/13981035. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^y.a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 135337/13981062. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((b a)(a a))) REDUCED to normal form. ------ 135338/13981341. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 135339/13981395. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a)(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.a))) REDUCED to normal form. ------ 135340/13981404. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(a a))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(a a))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 135341/13981485. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 135342/13981566. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135343/13981674. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(a a))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135344/13981701. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 135345/13981728. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 135346/13981782. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(^z.b))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.b))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.b))) 9. ==[ beta ]==> (((a a)(a a))((^y.b)(^y.b))) 10. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.b))) 11. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 135347/13981818. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)(c ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.b)(c ((^y.y)(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 135348/13981872. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 135349/13981899. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 135350/13981926. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(a (^z.z)))) REDUCED to normal form. ------ 135351/13981980. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 135352/13982151. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 135353/13982178. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 135354/13982205. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a b)(^y.a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a b)(^y.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a b)(^x.a))) REDUCED to normal form. ------ 135355/13982232. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 135356/13982313. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> ((a b)(a (^y.b))) 6. ==[ alpha ]==> ((a b)(a (^x.b))) REDUCED to normal form. ------ 135357/13982322. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 135358/13982349. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))((^y2.y2)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))((^y2.y2)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135359/13982484. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 135360/13982592. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(^y2.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135361/13982601. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(b (a a))) REDUCED to normal form. ------ 135362/13982628. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a ((a a)(^y.y)))) 3. ==[ beta ]==> ((b a)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((b a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 135363/13982655. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 135364/13982682. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a b)(a (^y1.y1)))) REDUCED to normal form. ------ 135365/13982763. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((a (a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))((a (a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135366/13982790. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a ((a a) a))) REDUCED to normal form. ------ 135367/13982808. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c (^a.b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c (^y.b))) 3. ==[ beta ]==> (b (c (^y.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 135368/13982817. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(a b))) REDUCED to normal form. ------ 135369/13982844. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 135370/13982916. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.b)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135371/13982988. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 135372/13983042. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((a (b a))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 135373/13983069. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 135374/13983096. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a)) a)) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a)) a)) 7. ==[ beta ]==> ((a a)(((^y.y)(a a)) a)) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a)) a)) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 135375/13983123. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a b) b)) REDUCED to normal form. ------ 135376/13983150. ------ 1. ==[ start ]==> (((a b)((a a) a))(((a a) a) c)) REDUCED to normal form. ------ 135377/13983312. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(a a)) a)) 3. ==[ beta ]==> ((a ((a a)(a a)))(a a)) REDUCED to normal form. ------ 135378/13983483. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.b))) 3. ==[ beta ]==> (b (b (^z.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 135379/13983591. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135380/13983672. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 135381/13983699. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.x1)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 135382/13983753. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 135383/13983834. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 135384/13983843. ------ 1. ==[ start ]==> (((a b)(^a.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.b))(c (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.b))(c (^y.y))) REDUCED to normal form. ------ 135385/13983897. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a b))) REDUCED to normal form. ------ 135386/13983951. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a (^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.x1))) REDUCED to normal form. ------ 135387/13983978. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 135388/13984005. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 135389/13984095. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)(^z.z))) REDUCED to normal form. ------ 135390/13984122. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(b a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(b a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.y))) REDUCED to normal form. ------ 135391/13984149. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 135392/13984176. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a)(a a))(a (^y.(y y)))) 6. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 135393/13984203. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 135394/13984257. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((a a) a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((a a) a) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a) a)) REDUCED to normal form. ------ 135395/13984563. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 135396/13984671. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135397/13984779. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 135398/13984806. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135399/13984842. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 135400/13984869. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (a a))(a a))) REDUCED to normal form. ------ 135401/13984941. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(b (^z.(z z)))) 3. ==[ beta ]==> (b (b (^z.(z z)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 135402/13984950. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 135403/13985049. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135404/13985202. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a a)) REDUCED to normal form. ------ 135405/13985229. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.a) b)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.a) b)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.a) b)) 5. ==[ beta ]==> ((a b)((^y.a) b)) 6. ==[ alpha ]==> ((a b)((^x.a) b)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 135406/13985310. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 135407/13985337. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 135408/13985364. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a a)(^y.a))) 3. ==[ beta ]==> (((a a)(a b))((a a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a b))((a a)(^x.a))) REDUCED to normal form. ------ 135409/13985391. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(((^y.y) a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 135410/13985472. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.a) a)) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.a) a)) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.a) a)) 5. ==[ beta ]==> ((b a)((^y.a) a)) 6. ==[ alpha ]==> ((b a)((^x.a) a)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 135411/13985499. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 135412/13985553. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 135413/13985643. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 135414/13985724. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (b ((^x1.x1)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 135415/13988283. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((^y.y)((^z.((z z)(z z)))(^z.((z z)(z z))))) 4. ==[ alpha ]==> ((^x.x)((^y.((y y)(y y)))(^z.((z z)(z z))))) 5. ==[ beta ]==> ((^y.((y y)(y y)))(^z.((z z)(z z)))) 6. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.((y y)(y y)))) 7. ==[ beta ]==> (((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y))))) 8. ==[ alpha ]==> (((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1))))) 9. ==[ beta ]==> ((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1))))) 10. ==[ alpha ]==> ((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1))))) 11. ==[ beta ]==> (((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1))))) 12. ==[ alpha ]==> (((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2))))) 13. ==[ beta ]==> ((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2))))) 14. ==[ alpha ]==> ((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3))))) 15. ==[ beta ]==> (((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3))))) 16. ==[ alpha ]==> (((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3))))) 17. ==[ beta ]==> ((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3))))) 18. ==[ alpha ]==> ((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4))))) 19. ==[ beta ]==> (((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4))))) 20. ==[ alpha ]==> (((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5))))) 21. ==[ beta ]==> ((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5))))) 22. ==[ alpha ]==> ((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5))))) 23. ==[ beta ]==> (((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5))))) 24. ==[ alpha ]==> (((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6))))) 25. ==[ beta ]==> ((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6))))) 26. ==[ alpha ]==> ((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7))))) 27. ==[ beta ]==> (((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7))))) 28. ==[ alpha ]==> (((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7))))) 29. ==[ beta ]==> ((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7))))) 30. ==[ alpha ]==> ((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8))))) 31. ==[ beta ]==> (((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8))))) 32. ==[ alpha ]==> (((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9))))) 33. ==[ beta ]==> ((((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9))))) 34. ==[ alpha ]==> ((((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))((^y9.((y9 y9)(y9 y9)))(^z9.((z9 z9)(z9 z9))))) 35. ==[ beta ]==> (((((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))((^y9.((y9 y9)(y9 y9)))(^z9.((z9 z9)(z9 z9))))) UNREDUCED: maximal number of reductions reached. ------ 135416/13992468. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((^y.((^z.z)(y y)))(^y.((^z.z)(y y))))((^y.((^z.z)(y y)))(^y.((^z.z)(y y))))) 4. ==[ alpha ]==> (((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z))))((^y1.((^z1.z1)(y1 y1)))(^x2.((^y2.y2)(x2 x2))))) 5. ==[ beta ]==> (((^y.y)((^z.((^x1.x1)(z z)))(^z.((^x1.x1)(z z)))))((^y1.((^z1.z1)(y1 y1)))(^x2.((^y2.y2)(x2 x2))))) 6. ==[ alpha ]==> (((^x.x)((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1)))))((^z1.((^x2.x2)(z1 z1)))(^y2.((^z2.z2)(y2 y2))))) 7. ==[ beta ]==> (((^y.((^z.z)(y y)))(^x1.((^y1.y1)(x1 x1))))((^z1.((^x2.x2)(z1 z1)))(^y2.((^z2.z2)(y2 y2))))) 8. ==[ alpha ]==> (((^x.((^y.y)(x x)))(^z.((^x1.x1)(z z))))((^y1.((^z1.z1)(y1 y1)))(^x2.((^y2.y2)(x2 x2))))) IRREDUCIBLE: cycle. ------ 135417/13995285. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) b)((^x1.x1) a))) 3. ==[ eta ]==> ((^y.y)(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 135418/13995555. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> (((a (^y.y))((a a)(a a)))(((a (^y.y))((a a)(a a)))((a (^y.y))((a a)(a a))))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(((a (^y.y))((a a)(a a)))((a (^z.z))((a a)(a a))))) REDUCED to normal form. ------ 135419/13995780. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 135420/13996338. ------ 1. ==[ start ]==> ((^a.((a a) a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(b ((a a)(a a)))) 3. ==[ beta ]==> (((b ((a a)(a a)))(b ((a a)(a a))))(b ((a a)(a a)))) REDUCED to normal form. ------ 135421/13997445. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a ((a a)(a a)))(a ((a a)(a a))))) 4. ==[ alpha ]==> ((^x.x)((a ((a a)(a a)))(a ((a a)(a a))))) 5. ==[ beta ]==> ((a ((a a)(a a)))(a ((a a)(a a)))) REDUCED to normal form. ------ 135422/13997448. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((y y)(y y)))) 3. ==[ beta ]==> ((a (a a))(^y.((y y)(y y)))) 4. ==[ alpha ]==> ((a (a a))(^x.((x x)(x x)))) REDUCED to normal form. ------ 135423/13998438. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 135424/13999050. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 135425/13999356. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 135426/14000445. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.((a a)(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.((a a)(^z.z)))) 6. ==[ alpha ]==> ((a b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 135427/14000949. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 135428/14001630. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a ((^y.y)(a a)))(a ((^y.y)(a a))))((a ((^y.y)(a a)))(a ((^y.y)(a a))))) 4. ==[ alpha ]==> (((a ((^x.x)(a a)))(a ((^y.y)(a a))))((a ((^z.z)(a a)))(a ((^x1.x1)(a a))))) 5. ==[ beta ]==> (((a (a a))(a ((^y.y)(a a))))((a ((^z.z)(a a)))(a ((^x1.x1)(a a))))) 6. ==[ alpha ]==> (((a (a a))(a ((^x.x)(a a))))((a ((^y.y)(a a)))(a ((^z.z)(a a))))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((a ((^y.y)(a a)))(a ((^z.z)(a a))))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))((a ((^x.x)(a a)))(a ((^y.y)(a a))))) 9. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a ((^y.y)(a a))))) 10. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))(a ((^x.x)(a a))))) 11. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 135429/14001633. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^x.(x x))) REDUCED to normal form. ------ 135430/14002020. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 135431/14002029. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a z))) 3. ==[ eta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 135432/14002218. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.x1))) REDUCED to normal form. ------ 135433/14002389. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.((a a) a))) REDUCED to normal form. ------ 135434/14002710. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135435/14003028. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b c)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b c)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b c)(^x.(^z.z))) 6. ==[ alpha ]==> ((b c)(^x.(^y.y))) REDUCED to normal form. ------ 135436/14003163. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 135437/14003298. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 135438/14003406. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(a (a a)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(a (a a)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 135439/14003523. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(y (y y)))) REDUCED to normal form. ------ 135440/14003604. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.((^z.z) a))) 5. ==[ beta ]==> ((b a)(^y.((^z.z) a))) 6. ==[ alpha ]==> ((b a)(^x.((^y.y) a))) 7. ==[ beta ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 135441/14003793. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) b)((^y.y) a))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.z)) 5. ==[ beta ]==> ((b ((^y.y) a))(^z.z)) 6. ==[ alpha ]==> ((b ((^x.x) a))(^y.y)) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 135442/14003964. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^c.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 135443/14004045. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 135444/14004174. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(a a)))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 135445/14004201. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 135446/14004228. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a)(^d.a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 135447/14004255. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135448/14004282. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 135449/14004309. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 135450/14004399. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b (^y.y))(a a))) REDUCED to normal form. ------ 135451/14004426. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 135452/14004453. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> ((a a)(((^y.y) b)((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)((^y.y) a))) 5. ==[ beta ]==> ((a a)(b ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(b ((^x.x) a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 135453/14004642. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(b a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(b a))) 5. ==[ beta ]==> (((a a) a)((^y.y)(b a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(b a))) 7. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 135454/14004669. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 135455/14004696. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z) b))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y) b))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y) b))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x) b))) 7. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 135456/14004723. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 135457/14004813. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 135458/14004840. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) b)(^z.a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b)(^y.a))) 5. ==[ beta ]==> ((a (a a))(b (^y.a))) 6. ==[ alpha ]==> ((a (a a))(b (^x.a))) REDUCED to normal form. ------ 135459/14004849. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 135460/14004867. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 135461/14004876. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 135462/14004948. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 135463/14005038. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 135464/14005083. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135465/14005164. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b (^x1.x1)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b (^y1.y1)) a)) 5. ==[ beta ]==> ((^y.y)((b (^y1.y1)) a)) 6. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 7. ==[ beta ]==> ((b (^y.y)) a) 8. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 135466/14005218. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) b) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b) c)) 5. ==[ beta ]==> ((^y.y)(((^z.z) b) c)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 7. ==[ beta ]==> (((^y.y) b) c) 8. ==[ alpha ]==> (((^x.x) b) c) 9. ==[ beta ]==> (b c) REDUCED to normal form. ------ 135467/14005227. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 135468/14005254. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 135469/14005335. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.b))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 7. ==[ beta ]==> ((^y.(a a))(^z.b)) 8. ==[ alpha ]==> ((^x.(a a))(^y.b)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135470/14005506. ------ 1. ==[ start ]==> ((a ((a a) a))(b ((a a)(a a)))) REDUCED to normal form. ------ 135471/14005596. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z) c)) 5. ==[ beta ]==> (a ((^z.z) c)) 6. ==[ alpha ]==> (a ((^x.x) c)) 7. ==[ beta ]==> (a c) REDUCED to normal form. ------ 135472/14005857. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^x.x)) b)) REDUCED to normal form. ------ 135473/14005884. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((a a)(a a)))) REDUCED to normal form. ------ 135474/14006028. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 135475/14006109. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(^z.(a a)))) IRREDUCIBLE: cycle. ------ 135476/14006172. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))(b a))) 3. ==[ beta ]==> ((((a a) a) b)((b a)(b a))) REDUCED to normal form. ------ 135477/14006190. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 135478/14006199. ------ 1. ==[ start ]==> (((a b) a)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 135479/14006217. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 135480/14006226. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 135481/14006280. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 135482/14006298. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) b) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) b) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) b) b)) 5. ==[ beta ]==> (((a (a a))(a (a a)))(b b)) REDUCED to normal form. ------ 135483/14006307. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 135484/14006334. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))(^z1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))(^y1.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 135485/14006388. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 135486/14006577. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135487/14006586. ------ 1. ==[ start ]==> (((a b)(a a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a a))(b ((^x.x) b))) 3. ==[ beta ]==> (((a b)(a a))(b b)) REDUCED to normal form. ------ 135488/14006613. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))(a ((a a)(a a)))) REDUCED to normal form. ------ 135489/14006622. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a)) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135490/14006649. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1) b)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 135491/14006928. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 135492/14006982. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 135493/14007000. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 135494/14007009. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 135495/14007225. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(b a))) 3. ==[ beta ]==> (b ((^y.a)(b a))) 4. ==[ alpha ]==> (b ((^x.a)(b a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 135496/14007324. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 5. ==[ beta ]==> ((a (^y.(^z.z))) b) 6. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 135497/14007468. ------ 1. ==[ start ]==> (((a b) c)((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.b))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 135498/14007495. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 135499/14007576. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 135500/14007603. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 135501/14007621. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x) a)) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 135502/14007702. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135503/14007801. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)(a b))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(a b))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 135504/14007828. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))(a a))) REDUCED to normal form. ------ 135505/14007855. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a b))(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a b))(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a (a b))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 135506/14007882. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.x))(b a))) REDUCED to normal form. ------ 135507/14007909. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.y)((a a)(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 9. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 10. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 135508/14008134. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(^z.(a a)))) 5. ==[ beta ]==> (b ((a (a a))(^z.(a a)))) 6. ==[ alpha ]==> (b ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 135509/14008215. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 135510/14008386. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 135511/14008413. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 135512/14008467. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 135513/14008521. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 135514/14008611. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(b a))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)(b a))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a a)(b a))((a a) a)) REDUCED to normal form. ------ 135515/14008638. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 135516/14008665. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(((a a) a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(((a a) a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a (a a))(((a a) a)(^y.y))) 8. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 135517/14008692. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x)((a a) a))) 5. ==[ beta ]==> (((a (a a))(a b))((a a) a)) REDUCED to normal form. ------ 135518/14008719. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))(a b))) 5. ==[ beta ]==> (((a a) a)((a (a a))(a b))) REDUCED to normal form. ------ 135519/14008746. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(a (a a))) REDUCED to normal form. ------ 135520/14008773. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 135521/14008800. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a)(b a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)(b a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(b a))) 5. ==[ beta ]==> (((a a) a)((a a)(b a))) REDUCED to normal form. ------ 135522/14008890. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(a a))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 135523/14008971. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a a)(((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 9. ==[ beta ]==> ((a a)(^y.a)) 10. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 135524/14009052. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 135525/14009169. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 135526/14009196. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 135527/14009277. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (a a))(^x.(a a))) b) REDUCED to normal form. ------ 135528/14009304. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 135529/14009502. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 8. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 135530/14009529. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (a a))((a a) a))) REDUCED to normal form. ------ 135531/14009556. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (a b))) REDUCED to normal form. ------ 135532/14009583. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 135533/14009610. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a b)((a a)((a a)(^y.y)))) 6. ==[ alpha ]==> ((a b)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 135534/14009763. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135535/14009808. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((^y.y) a)(^z.b)) 6. ==[ alpha ]==> (((^x.x) a)(^y.b)) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 135536/14009835. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 135537/14009970. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((a a) a) d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a) d)) 3. ==[ beta ]==> (b (((a a) a) d)) REDUCED to normal form. ------ 135538/14010087. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 135539/14010114. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 135540/14010132. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) a)) 5. ==[ beta ]==> (b ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135541/14010159. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^y1.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135542/14010303. ------ 1. ==[ start ]==> (((a b)(^c.a))(c (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.b))) REDUCED to normal form. ------ 135543/14010330. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 135544/14010402. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135545/14010411. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.b)(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 135546/14010438. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 135547/14010771. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(b (a b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(b (a b))) 3. ==[ beta ]==> ((b (a a))(b (a b))) REDUCED to normal form. ------ 135548/14010798. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(a ((^x.x)(a a)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(a (a a))) REDUCED to normal form. ------ 135549/14010834. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b) b)) 3. ==[ beta ]==> ((^y.y)((^x1.b) b)) 4. ==[ alpha ]==> ((^x.x)((^y.b) b)) 5. ==[ beta ]==> ((^y.b) b) 6. ==[ alpha ]==> ((^x.b) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 135550/14011077. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135551/14011113. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((b b)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((b b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 135552/14011140. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 135553/14011185. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 135554/14011194. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 135555/14011221. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.b)(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b)(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 135556/14011239. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((a a) a) b)) 3. ==[ beta ]==> (((b a)(b a))(((a a) a) b)) REDUCED to normal form. ------ 135557/14011302. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 135558/14011329. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 135559/14011383. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 135560/14011527. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 135561/14011554. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)((a a) a))) REDUCED to normal form. ------ 135562/14011878. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b (^x.x)))(b (^z.z))) 4. ==[ alpha ]==> ((a (b (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 135563/14012157. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135564/14012193. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b c)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b c)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b c)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b c)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b c)(^y.y)) 8. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 135565/14012220. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 135566/14012265. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z) a) c)) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a) c)) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a) c)) 5. ==[ beta ]==> ((b (^x.x))(a c)) REDUCED to normal form. ------ 135567/14012328. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 135568/14012346. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 135569/14012436. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(b (^y.(y y)))) REDUCED to normal form. ------ 135570/14012463. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 135571/14012535. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135572/14012544. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 135573/14012571. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((b (^y.a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((b (^x.a))(a (a a))) REDUCED to normal form. ------ 135574/14012598. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 135575/14012661. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(b a)) REDUCED to normal form. ------ 135576/14012688. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a (a (a a)))) REDUCED to normal form. ------ 135577/14012715. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((a ((^y.y) b))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(a a))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(a a))) 7. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 135578/14012742. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 135579/14012769. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(b a))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(b a))((a a)((^y.y) a))) 5. ==[ beta ]==> ((b a)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((b a)((a a)((^x.x) a))) 7. ==[ beta ]==> ((b a)((a a) a)) REDUCED to normal form. ------ 135580/14012823. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(c b)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(c b)) 3. ==[ beta ]==> (((a b)(a a))(c b)) REDUCED to normal form. ------ 135581/14012850. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(b c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(b c)) 3. ==[ beta ]==> (((a a)(a b))(b c)) REDUCED to normal form. ------ 135582/14012931. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(b (a (^z.z)))) REDUCED to normal form. ------ 135583/14012958. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(a ((^z.z) a))) 3. ==[ beta ]==> ((b ((^y.y) a))(a ((^z.z) a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(a ((^y.y) a))) 5. ==[ beta ]==> ((b a)(a ((^y.y) a))) 6. ==[ alpha ]==> ((b a)(a ((^x.x) a))) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 135584/14012985. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 135585/14013129. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a) b)) 5. ==[ beta ]==> ((^y.y)((a a) b)) 6. ==[ alpha ]==> ((^x.x)((a a) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 135586/14013210. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (b ((a a)(^x1.x1))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 135587/14013546. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> ((^x.(^y.x))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 135588/14015778. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(a a)))(^z.(^x1.(a a))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(a a)))(^x1.(^y1.(a a))))) 5. ==[ beta ]==> ((^y.(^z.(a a)))(^x1.(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.(a a)))(^z.(^x1.(a a)))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 135589/14016453. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.((x x)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.z)) 5. ==[ beta ]==> (((^z.z)(^z.z))(^y.y)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135590/14019963. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((^y.(^z.(a a)))(^y.(^z.(a a))))((^y.(^z.(a a)))(^y.(^z.(a a))))) 4. ==[ alpha ]==> (((^x.(^y.(a a)))(^z.(^x1.(a a))))((^y1.(^z1.(a a)))(^x2.(^y2.(a a))))) 5. ==[ beta ]==> ((^y.(a a))((^y1.(^z1.(a a)))(^x2.(^y2.(a a))))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.(a a)))(^x1.(^y1.(a a))))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135591/14022204. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(^y1.x1))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135592/14022519. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 135593/14022600. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.z1)) 5. ==[ beta ]==> ((^y.y)(^z1.z1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135594/14022717. ------ 1. ==[ start ]==> ((^a.(^b.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (^y.(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> (^x.(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> (^x.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 135595/14022720. ------ 1. ==[ start ]==> ((a (^b.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 135596/14022960. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 135597/14023098. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 135598/14023410. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135599/14023881. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(b (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(b (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 135600/14024175. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 135601/14024952. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 135602/14024961. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((^y.(a a))(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((y y)(y y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135603/14025624. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((((^z.z)((^x1.x1) b))((^z.z)((^x1.x1) b)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)((^y.y) b))((^z.z)((^x1.x1) b)))(^y1.y1)) 5. ==[ beta ]==> ((((^y.y) b)((^z.z)((^x1.x1) b)))(^y1.y1)) 6. ==[ alpha ]==> ((((^x.x) b)((^y.y)((^z.z) b)))(^x1.x1)) 7. ==[ beta ]==> ((b ((^y.y)((^z.z) b)))(^x1.x1)) 8. ==[ alpha ]==> ((b ((^x.x)((^y.y) b)))(^z.z)) 9. ==[ beta ]==> ((b ((^y.y) b))(^z.z)) 10. ==[ alpha ]==> ((b ((^x.x) b))(^y.y)) 11. ==[ beta ]==> ((b b)(^y.y)) 12. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 135604/14025627. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 135605/14025960. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.((^z.z) b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((^y.y) b))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^x.b)) REDUCED to normal form. ------ 135606/14026275. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 135607/14026380. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(a a))(a (a a)))) 3. ==[ eta ]==> (b ((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 135608/14026929. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 135609/14027166. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 135610/14027820. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135611/14028135. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 135612/14028471. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (b (^y.((y y)(^z.z)))) 6. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 135613/14028921. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)(^y.((^z.z)(a a)))) 8. ==[ alpha ]==> ((a a)(^x.((^y.y)(a a)))) 9. ==[ beta ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 135614/14029134. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.(a a)))((^y.y)(^z.(a a))))(((^y.y)(^z.(a a)))((^y.y)(^z.(a a))))) 4. ==[ alpha ]==> ((((^x.x)(^y.(a a)))((^z.z)(^x1.(a a))))(((^y1.y1)(^z1.(a a)))((^x2.x2)(^y2.(a a))))) 5. ==[ beta ]==> (((^y.(a a))((^z.z)(^x1.(a a))))(((^y1.y1)(^z1.(a a)))((^x2.x2)(^y2.(a a))))) 6. ==[ alpha ]==> (((^x.(a a))((^y.y)(^z.(a a))))(((^x1.x1)(^y1.(a a)))((^z1.z1)(^x2.(a a))))) 7. ==[ beta ]==> ((a a)(((^x1.x1)(^y1.(a a)))((^z1.z1)(^x2.(a a))))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.(a a)))((^z.z)(^x1.(a a))))) 9. ==[ beta ]==> ((a a)((^y.(a a))((^z.z)(^x1.(a a))))) 10. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(^z.(a a))))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 135615/14029137. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.(a a)))) REDUCED to normal form. ------ 135616/14029533. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.b))) REDUCED to normal form. ------ 135617/14029920. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.(^y1.b))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.(^y1.b))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.b))) REDUCED to normal form. ------ 135618/14030082. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((a a) a))) REDUCED to normal form. ------ 135619/14030214. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135620/14030388. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 135621/14030532. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 135622/14030685. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^x2.x2))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 135623/14030910. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 135624/14031027. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 135625/14031135. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 135626/14031216. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^y.a)) REDUCED to normal form. ------ 135627/14031297. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.a))) 5. ==[ beta ]==> ((b a)(^y.(^z.a))) 6. ==[ alpha ]==> ((b a)(^x.(^y.a))) REDUCED to normal form. ------ 135628/14031375. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(a (^b.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(a (^x1.a))) 3. ==[ eta ]==> ((^y.(^z.z))(a (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135629/14031378. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 135630/14031549. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^d.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.a)) 3. ==[ beta ]==> (b (^x1.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 135631/14031696. ------ 1. ==[ start ]==> ((a b)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(a a)))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 135632/14031777. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 135633/14031867. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b (b (^z.z)))) 3. ==[ beta ]==> ((^y.y)(b (b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b (b (^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 135634/14031894. ------ 1. ==[ start ]==> ((a (^b.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.a))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a (^x.a))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.y))) REDUCED to normal form. ------ 135635/14031975. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.a)(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 135636/14032002. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 135637/14032056. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> (a (((a a)(^y.y))((a a) a))) 6. ==[ alpha ]==> (a (((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 135638/14032083. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (((^y.y)(a a))(a b)) 6. ==[ alpha ]==> (((^x.x)(a a))(a b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 135639/14032137. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 135640/14032245. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> (((a (^y.y))((a a)(a a)))((a (^y.y))((a a)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 135641/14032272. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 135642/14032308. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((b (^y.y))(^z.z))) 3. ==[ beta ]==> ((a b)((b (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a b)((b (^x.x))(^y.y))) REDUCED to normal form. ------ 135643/14032335. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 135644/14032362. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.a))) REDUCED to normal form. ------ 135645/14032389. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) REDUCED to normal form. ------ 135646/14032416. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 135647/14032479. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(a b))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 135648/14032506. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 135649/14032560. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 135650/14032587. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.x))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 135651/14032686. ------ 1. ==[ start ]==> (((a (a a)) b)((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a)) b)((b (^x.x)) a)) REDUCED to normal form. ------ 135652/14032713. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(a a)) b)) 3. ==[ beta ]==> (((^y.y) a)(((a a)(a a)) b)) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(a a)) b)) 5. ==[ beta ]==> (a (((a a)(a a)) b)) REDUCED to normal form. ------ 135653/14032740. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b c)) REDUCED to normal form. ------ 135654/14032884. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 135655/14032965. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 135656/14032992. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 135657/14033055. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a (b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 135658/14033109. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) b)(a (^x1.x1)))) 5. ==[ beta ]==> (a (((^z.z) b)(a (^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x) b)(a (^y.y)))) 7. ==[ beta ]==> (a (b (a (^y.y)))) 8. ==[ alpha ]==> (a (b (a (^x.x)))) REDUCED to normal form. ------ 135659/14033190. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 135660/14033217. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 135661/14033271. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)(((a a) a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(a a)))) 9. ==[ beta ]==> ((a a)(((a a) a)(a a))) REDUCED to normal form. ------ 135662/14033352. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.b))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.b))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 135663/14033397. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(a a)))) REDUCED to normal form. ------ 135664/14033478. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 135665/14033505. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 135666/14033523. ------ 1. ==[ start ]==> (((^a.b) a)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((b a)(^y.(y y)))) 3. ==[ beta ]==> (b ((b a)(^y.(y y)))) 4. ==[ alpha ]==> (b ((b a)(^x.(x x)))) REDUCED to normal form. ------ 135667/14033712. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) a)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 135668/14033739. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 135669/14033793. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(a a)) a)) REDUCED to normal form. ------ 135670/14033820. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) b) b)) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(b b)) REDUCED to normal form. ------ 135671/14033847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1))) c)) 5. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1))) c)) 6. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z))) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 135672/14033937. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 135673/14033964. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 135674/14034018. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 135675/14034072. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 135676/14034099. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 135677/14034135. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((^y.(a a))(a ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(a ((a a)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135678/14034162. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a a))) 5. ==[ beta ]==> (((^y.y) b)(a a)) 6. ==[ alpha ]==> (((^x.x) b)(a a)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 135679/14034216. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((b a)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)((b a)((^y.y) a))) 7. ==[ beta ]==> ((b a)((^y.y) a)) 8. ==[ alpha ]==> ((b a)((^x.x) a)) 9. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 135680/14034297. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)((a a) a))) 3. ==[ beta ]==> (b ((a b)((a a) a))) REDUCED to normal form. ------ 135681/14034351. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(a a)))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 135682/14034378. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 135683/14034432. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.(^y1.y1))))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.(^x1.x1))))) 11. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 12. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 135684/14034495. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(b (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 135685/14034522. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 135686/14034549. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((b a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.a))) REDUCED to normal form. ------ 135687/14034612. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 135688/14034639. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.b)((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.b)((a a) a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b)((a a) a))) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 135689/14034693. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 135690/14034720. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> ((((a a) a) a)(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 135691/14034738. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)(^d.a))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 135692/14034747. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(b a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 135693/14034774. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 135694/14034801. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z) b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y) b)) 5. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 135695/14035134. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(a ((^y.y) b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a ((^y.y) b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a ((^x.x) b))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a b)) REDUCED to normal form. ------ 135696/14035170. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135697/14035215. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b (((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 135698/14035224. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 135699/14035422. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.y)(b (^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 9. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 135700/14035449. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a (^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 135701/14035476. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 135702/14035557. ------ 1. ==[ start ]==> ((a (b a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 135703/14035791. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((b a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((b a) b)) REDUCED to normal form. ------ 135704/14035998. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c ((a a)(^y.y)))) 3. ==[ beta ]==> (b (c ((a a)(^y.y)))) 4. ==[ alpha ]==> (b (c ((a a)(^x.x)))) REDUCED to normal form. ------ 135705/14036061. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 135706/14036106. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a)(^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 135707/14036286. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(c (^x.(^y.y)))) REDUCED to normal form. ------ 135708/14036340. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 135709/14036385. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135710/14036862. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (b ((a a)(^x.x)))) REDUCED to normal form. ------ 135711/14036925. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 135712/14036970. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135713/14036997. ------ 1. ==[ start ]==> ((a (^b.b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 135714/14037123. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 135715/14037177. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 135716/14037204. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 135717/14037231. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 135718/14037276. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135719/14037285. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 135720/14037312. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((a b)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((a b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 135721/14037645. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y) b)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (b (a ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 135722/14037654. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 135723/14037672. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))(a a)) 6. ==[ alpha ]==> (((^x.x)(a a))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 135724/14037681. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 135725/14037726. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 135726/14037807. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (b (((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a) a))) 5. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 135727/14037924. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a b)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 135728/14037951. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((b (^y.y))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((b (^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 135729/14037987. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 135730/14038014. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(((^y1.y1)(^z1.z1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1)(^z1.z1))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(^y1.y1))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 10. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 135731/14038041. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a (b a))((^y.a)((a a) a))) 4. ==[ alpha ]==> ((a (b a))((^x.a)((a a) a))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 135732/14038068. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 135733/14038095. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(a a)))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 135734/14038122. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a b))(a a)) REDUCED to normal form. ------ 135735/14038149. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a)) b) REDUCED to normal form. ------ 135736/14038203. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 135737/14038257. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 135738/14038284. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 135739/14038311. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.(a a))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(a a))) REDUCED to normal form. ------ 135740/14038347. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 135741/14038482. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (b ((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 135742/14038626. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((b b)((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> ((b b)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 135743/14038653. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a)) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 135744/14038707. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.b))) REDUCED to normal form. ------ 135745/14038734. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a b) a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a b) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b) a)) REDUCED to normal form. ------ 135746/14038941. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135747/14038950. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^c.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 135748/14038977. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 135749/14039067. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b (^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.a))) REDUCED to normal form. ------ 135750/14039094. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(a (^x1.b))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(a (^x1.b))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.b))) REDUCED to normal form. ------ 135751/14039121. ------ 1. ==[ start ]==> (((a (a a))(b a))((^c.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a)(a a))) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 135752/14039148. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 135753/14039175. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(a a))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((((a a) a)(a a))(a ((^y.y) a))) 8. ==[ alpha ]==> ((((a a) a)(a a))(a ((^x.x) a))) 9. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 135754/14039202. ------ 1. ==[ start ]==> (((a b)(a b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 135755/14039229. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 135756/14039256. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 135757/14039310. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 135758/14039337. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((b (a (^x.x)))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)(^z.a))) 7. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 135759/14039364. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 135760/14039391. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 135761/14039481. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (a a))(a (^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a (^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135762/14039562. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 135763/14039706. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b c)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b c)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 135764/14039733. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> ((((a a)(a a)) b)((^y.y) a)) 4. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x) a)) 5. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 135765/14039859. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a ((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^z1.z1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^y1.y1))) REDUCED to normal form. ------ 135766/14039868. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 135767/14039940. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 135768/14040057. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 135769/14040084. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((b (^y.a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((b (^x.a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 135770/14040111. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 135771/14040174. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 135772/14040201. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(y y))) REDUCED to normal form. ------ 135773/14040282. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(b (^z.a))) 3. ==[ beta ]==> (((^y.y)(b a))(b (^z.a))) 4. ==[ alpha ]==> (((^x.x)(b a))(b (^y.a))) 5. ==[ beta ]==> ((b a)(b (^y.a))) 6. ==[ alpha ]==> ((b a)(b (^x.a))) REDUCED to normal form. ------ 135774/14040309. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 135775/14040336. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.a)(a a))) 3. ==[ beta ]==> (((a b)(a a))((^y.a)(a a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.a)(a a))) 5. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 135776/14040363. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 135777/14040390. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))((^z.z) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y) a)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a) a)) a) REDUCED to normal form. ------ 135778/14040444. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 135779/14040471. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.a))) 7. ==[ beta ]==> ((b a)(^y.a)) 8. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 135780/14040552. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(a (^b.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(a (^z.a))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 135781/14040642. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (a a))) 5. ==[ beta ]==> ((^y.y)(b (a a))) 6. ==[ alpha ]==> ((^x.x)(b (a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 135782/14040723. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 135783/14049726. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^b.c)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.c)) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135784/14050086. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 135785/14050815. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 135786/14050941. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (a a))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135787/14051034. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(^y1.(y1 (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 7. ==[ beta ]==> (^y.(y (^z.z))) 8. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 135788/14051886. ------ 1. ==[ start ]==> ((^a.(a b))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((b a)(^y.(y y)))) 3. ==[ beta ]==> (((b a)(^y.(y y))) b) 4. ==[ alpha ]==> (((b a)(^x.(x x))) b) REDUCED to normal form. ------ 135789/14052273. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.(^z1.z1)))((^z.(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (^x.((^z.z)((^z1.(^x2.x2))(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 135790/14052492. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135791/14053155. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> ((((a a)(^z.z))((a a)(^z.z)))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 135792/14053491. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 135793/14053911. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(a a))(^z.(z z)))) 3. ==[ eta ]==> (b (((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (b ((a a)(^y.(y y)))) 6. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 135794/14054418. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) REDUCED to normal form. ------ 135795/14054748. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x1.x1))(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 135796/14055255. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.(y y))) b) 4. ==[ beta ]==> (((a a)(^y.(y y))) b) 5. ==[ alpha ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 135797/14055666. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (a a))(^z.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 135798/14056002. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 135799/14056011. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 135800/14058063. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.e)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.e)) 3. ==[ beta ]==> ((b c)(^y.e)) 4. ==[ alpha ]==> ((b c)(^x.e)) REDUCED to normal form. ------ 135801/14058216. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 135802/14058225. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 135803/14058333. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(a (a a)))) REDUCED to normal form. ------ 135804/14058828. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^c.c)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.z)) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.z)) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.y)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 135805/14058909. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^b.c)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.c)) 3. ==[ beta ]==> ((a (^y.y))(^z.c)) 4. ==[ alpha ]==> ((a (^x.x))(^y.c)) REDUCED to normal form. ------ 135806/14059080. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 135807/14059245. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 135808/14059272. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 135809/14059326. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135810/14059353. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135811/14059380. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 135812/14059416. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (b (^z.z)))) REDUCED to normal form. ------ 135813/14059470. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((b (^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)((b (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(a a))) 5. ==[ beta ]==> ((b (^y.y))(a a)) 6. ==[ alpha ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 135814/14059551. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 135815/14059578. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)((b a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)((b a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)((b a)(^y.y))) 6. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 135816/14059605. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 135817/14059632. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a b))) REDUCED to normal form. ------ 135818/14059659. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((a b)(a a))) REDUCED to normal form. ------ 135819/14059767. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) b))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) b))) 5. ==[ beta ]==> ((a a)(a ((^y.y) b))) 6. ==[ alpha ]==> ((a a)(a ((^x.x) b))) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 135820/14059920. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 135821/14060001. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 135822/14060019. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(^y.b))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(^y.b))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)(^x.b))) REDUCED to normal form. ------ 135823/14060046. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.(a a)))) REDUCED to normal form. ------ 135824/14060127. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 135825/14060136. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135826/14060163. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 135827/14060217. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(b (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(b (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(b (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(b (^z.z)))) 7. ==[ beta ]==> ((^y.y)(b (^z.z))) 8. ==[ alpha ]==> ((^x.x)(b (^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135828/14060298. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 135829/14060685. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (b ((a (^y.(^z.z)))((^x1.x1) a))) 6. ==[ alpha ]==> (b ((a (^x.(^y.y)))((^z.z) a))) 7. ==[ beta ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 135830/14060712. ------ 1. ==[ start ]==> ((((a a) a) a)((b a)(a (a a)))) REDUCED to normal form. ------ 135831/14060766. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)((a a) a))) REDUCED to normal form. ------ 135832/14060793. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)(a b))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)(a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)(a b))) REDUCED to normal form. ------ 135833/14060820. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(((a a) a)(a a))) REDUCED to normal form. ------ 135834/14060847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((a a)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135835/14060874. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (a a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(b a))) REDUCED to normal form. ------ 135836/14060991. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> (((a (a a)) a)(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 135837/14061018. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(b (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 135838/14061045. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 135839/14061072. ------ 1. ==[ start ]==> ((a (a b))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((b a)(^x.(x x)))) REDUCED to normal form. ------ 135840/14061162. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)(a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(a b))) IRREDUCIBLE: cycle. ------ 135841/14061243. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))(b a))) 3. ==[ beta ]==> (b ((^z.(z z))(b a))) 4. ==[ alpha ]==> (b ((^x.(x x))(b a))) 5. ==[ beta ]==> (b ((b a)(b a))) REDUCED to normal form. ------ 135842/14061270. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 135843/14061297. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135844/14061459. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 135845/14061630. ------ 1. ==[ start ]==> (((^a.b) b)(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)(c (a (^y.(^z.z))))) 3. ==[ beta ]==> (b (c (a (^y.(^z.z))))) 4. ==[ alpha ]==> (b (c (a (^x.(^y.y))))) REDUCED to normal form. ------ 135846/14061675. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135847/14061846. ------ 1. ==[ start ]==> (((a b) b)((a b)((a a) a))) REDUCED to normal form. ------ 135848/14061873. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a) a)(a b))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(a b))) REDUCED to normal form. ------ 135849/14061900. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 135850/14061927. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))((a a)(^z.z)))) REDUCED to normal form. ------ 135851/14061981. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 135852/14062008. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)((^z.z) b))) 5. ==[ beta ]==> ((^y.(y y))((a a)((^z.z) b))) 6. ==[ alpha ]==> ((^x.(x x))((a a)((^y.y) b))) 7. ==[ beta ]==> (((a a)((^y.y) b))((a a)((^y.y) b))) 8. ==[ alpha ]==> (((a a)((^x.x) b))((a a)((^y.y) b))) 9. ==[ beta ]==> (((a a) b)((a a)((^y.y) b))) 10. ==[ alpha ]==> (((a a) b)((a a)((^x.x) b))) 11. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 135853/14062053. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (b ((^z.z)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 135854/14062125. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 135855/14062152. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 135856/14062179. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a b)(^y.a))) 3. ==[ beta ]==> ((a ((a a) a))((a b)(^y.a))) 4. ==[ alpha ]==> ((a ((a a) a))((a b)(^x.a))) REDUCED to normal form. ------ 135857/14062206. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a) a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)(^y.b))) REDUCED to normal form. ------ 135858/14062233. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^z.(a a)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(a a)))) 9. ==[ beta ]==> ((a (a a))(^y.(a a))) 10. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 135859/14062314. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 135860/14062341. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 135861/14062377. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135862/14062512. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (b ((^z.b)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 135863/14062629. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (b a))) REDUCED to normal form. ------ 135864/14062656. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.b))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.b))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 135865/14062674. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 135866/14062710. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135867/14062737. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 135868/14062764. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 135869/14062791. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 135870/14062818. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a b)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b)(^z.z))) REDUCED to normal form. ------ 135871/14063016. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a b) a)((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (((a b) a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 135872/14063043. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 135873/14063070. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 135874/14063097. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> ((a (b a))((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((a (b a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 135875/14063187. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135876/14063268. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(b a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135877/14063376. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 135878/14063403. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135879/14063457. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 135880/14063538. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 135881/14063547. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 135882/14063574. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b (b a))) 3. ==[ beta ]==> (((a a)(^y.a))(b (b a))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (b a))) REDUCED to normal form. ------ 135883/14063601. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 135884/14063664. ------ 1. ==[ start ]==> (((a a)(b a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 135885/14063934. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 135886/14064024. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 135887/14064105. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 135888/14064240. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 135889/14064267. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(^z.(z z))) 6. ==[ alpha ]==> ((^x.b)(^y.(y y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 135890/14064321. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.a))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 135891/14064402. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135892/14064411. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 135893/14064438. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a (b a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a (b a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (b a))) REDUCED to normal form. ------ 135894/14064465. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 135895/14064519. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a b) a)) REDUCED to normal form. ------ 135896/14064717. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^y.y))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 135897/14064744. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a (a a)))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 135898/14064771. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a b)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a b)(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(^y.a))) REDUCED to normal form. ------ 135899/14064825. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.x1))) REDUCED to normal form. ------ 135900/14064852. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (a a))(^y.a))) 3. ==[ beta ]==> ((a b)((a (a a))(^y.a))) 4. ==[ alpha ]==> ((a b)((a (a a))(^x.a))) REDUCED to normal form. ------ 135901/14064861. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a a) a)) 6. ==[ alpha ]==> ((^x.(x x))((a a) a)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 135902/14064888. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^z1.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 135903/14065023. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (b ((^z.b)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 135904/14065131. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a)(^x2.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)(^x2.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135905/14065140. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c (a b))) REDUCED to normal form. ------ 135906/14065167. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((b a)(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((b a)(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((b a)(b (a a))) REDUCED to normal form. ------ 135907/14065185. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 135908/14065194. ------ 1. ==[ start ]==> (((a a)(^b.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 135909/14065221. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(a a))) REDUCED to normal form. ------ 135910/14065302. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(a (a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 135911/14065329. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((a (a a))(^y.y))) REDUCED to normal form. ------ 135912/14065356. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.a))(a ((a a) a))) REDUCED to normal form. ------ 135913/14065383. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 135914/14065410. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(a a))) REDUCED to normal form. ------ 135915/14065455. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135916/14065527. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) b)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (((a a) b)(^y.(y y))) 8. ==[ alpha ]==> (((a a) b)(^x.(x x))) REDUCED to normal form. ------ 135917/14065554. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 135918/14065581. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (b a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((a (b a))(a (^y.a))) 6. ==[ alpha ]==> ((a (b a))(a (^x.a))) REDUCED to normal form. ------ 135919/14065608. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 135920/14065635. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((a a)(^z.(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.(a a)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(a a)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 135921/14065662. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(a b))((a a) a)) REDUCED to normal form. ------ 135922/14065689. ------ 1. ==[ start ]==> (((a b)((a a) a))((a b) b)) REDUCED to normal form. ------ 135923/14066022. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 135924/14066130. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135925/14066211. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 135926/14066238. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135927/14066292. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.b)(^z.z))) 3. ==[ beta ]==> (((b a)(b a))((^y.b)(^z.z))) 4. ==[ alpha ]==> (((b a)(b a))((^x.b)(^y.y))) 5. ==[ beta ]==> (((b a)(b a)) b) REDUCED to normal form. ------ 135928/14066373. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 135929/14066436. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b ((a a) a))) REDUCED to normal form. ------ 135930/14066490. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((a a) a)(a a))) REDUCED to normal form. ------ 135931/14066517. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> ((b (^x.(^y.y)))(a (^x1.x1))) 8. ==[ alpha ]==> ((b (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 135932/14066544. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 135933/14066661. ------ 1. ==[ start ]==> (((a (a a))(b a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 135934/14066688. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 135935/14066715. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (a a))(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (a a))(^y.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (a a))(^x.a))) REDUCED to normal form. ------ 135936/14066742. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.(x x)))) REDUCED to normal form. ------ 135937/14066769. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 135938/14066850. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1) b)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z) b)) 7. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 135939/14066877. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (a a)) c)) 3. ==[ beta ]==> ((b (a (^y.y)))((a (a a)) c)) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (a a)) c)) REDUCED to normal form. ------ 135940/14067102. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 135941/14067210. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135942/14067318. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((b (^x.x))(^z.z)) 8. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 135943/14067345. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 135944/14067381. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(b (a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b (a (a a)))) REDUCED to normal form. ------ 135945/14067399. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.(^x2.x2))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 135946/14067408. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 135947/14067480. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(c (^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 135948/14067489. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 135949/14067516. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.b))((a a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(a (a a)))) REDUCED to normal form. ------ 135950/14067588. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135951/14067714. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (^y.y)) c)) REDUCED to normal form. ------ 135952/14067768. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(z z)) a)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(z z)) a)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y)) a)) 5. ==[ beta ]==> ((a b)((^y.(y y)) a)) 6. ==[ alpha ]==> ((a b)((^x.(x x)) a)) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 135953/14067795. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.a) b)) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 135954/14067822. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((b a)((^y.(^z.z)) c)) 6. ==[ alpha ]==> ((b a)((^x.(^y.y)) c)) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 135955/14067876. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a b)(a a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a b)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a b)(a a))(a (^x.x))) REDUCED to normal form. ------ 135956/14067903. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 135957/14067930. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a a)(^y.a))) REDUCED to normal form. ------ 135958/14067984. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (^z.z)) b)) REDUCED to normal form. ------ 135959/14068011. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a a) c)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a a) c)) 3. ==[ beta ]==> ((b ((^y.y) a))((a a) c)) 4. ==[ alpha ]==> ((b ((^x.x) a))((a a) c)) 5. ==[ beta ]==> ((b a)((a a) c)) REDUCED to normal form. ------ 135960/14068038. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.a) a)) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x))) a) REDUCED to normal form. ------ 135961/14068182. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135962/14068263. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 135963/14077827. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 135964/14077878. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(a a))(a (^z.z)))) 3. ==[ eta ]==> ((^y.y)(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 135965/14078148. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> ((((^y.y) a)((^z.z) b))((((^y.y) a)((^z.z) b))(((^y.y) a)((^z.z) b)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((((^z.z) a)((^x1.x1) b))(((^y1.y1) a)((^z1.z1) b)))) 5. ==[ beta ]==> ((a ((^y.y) b))((((^z.z) a)((^x1.x1) b))(((^y1.y1) a)((^z1.z1) b)))) 6. ==[ alpha ]==> ((a ((^x.x) b))((((^y.y) a)((^z.z) b))(((^x1.x1) a)((^y1.y1) b)))) 7. ==[ beta ]==> ((a b)((((^y.y) a)((^z.z) b))(((^x1.x1) a)((^y1.y1) b)))) 8. ==[ alpha ]==> ((a b)((((^x.x) a)((^y.y) b))(((^z.z) a)((^x1.x1) b)))) 9. ==[ beta ]==> ((a b)((a ((^y.y) b))(((^z.z) a)((^x1.x1) b)))) 10. ==[ alpha ]==> ((a b)((a ((^x.x) b))(((^y.y) a)((^z.z) b)))) 11. ==[ beta ]==> ((a b)((a b)(((^y.y) a)((^z.z) b)))) 12. ==[ alpha ]==> ((a b)((a b)(((^x.x) a)((^y.y) b)))) 13. ==[ beta ]==> ((a b)((a b)(a ((^y.y) b)))) 14. ==[ alpha ]==> ((a b)((a b)(a ((^x.x) b)))) 15. ==[ beta ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 135966/14078373. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 135967/14078601. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 135968/14079708. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 135969/14080038. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b ((^z.z) b))) 3. ==[ beta ]==> ((^y.y)((b ((^z.z) b))(b ((^z.z) b)))) 4. ==[ alpha ]==> ((^x.x)((b ((^y.y) b))(b ((^z.z) b)))) 5. ==[ beta ]==> ((b ((^y.y) b))(b ((^z.z) b))) 6. ==[ alpha ]==> ((b ((^x.x) b))(b ((^y.y) b))) 7. ==[ beta ]==> ((b b)(b ((^y.y) b))) 8. ==[ alpha ]==> ((b b)(b ((^x.x) b))) 9. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 135970/14080410. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 135971/14081976. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) REDUCED to normal form. ------ 135972/14083569. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 135973/14084223. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b (a b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b (a b))) 3. ==[ beta ]==> (((b (a b))(b (a b)))((b (a b))(b (a b)))) REDUCED to normal form. ------ 135974/14084649. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(a y1))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(^z.(^x1.x1)))) a) 4. ==[ beta ]==> ((a (^y.(^z.(^x1.x1)))) a) 5. ==[ alpha ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 135975/14085303. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(c (a (a a)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135976/14085648. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 135977/14085783. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 135978/14086026. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 135979/14086143. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(z (z z)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(z (z z)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(y (y y)))) 5. ==[ beta ]==> ((a b)(^y.(y (y y)))) 6. ==[ alpha ]==> ((a b)(^x.(x (x x)))) REDUCED to normal form. ------ 135980/14086413. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 135981/14086464. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a a)(a (^x1.x1)))) 3. ==[ eta ]==> ((^y.(^z.z))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 135982/14086638. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (b (^x1.x1)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 135983/14086821. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 135984/14086848. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 135985/14086902. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 135986/14086929. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 135987/14086956. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 135988/14087019. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 135989/14087046. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b (^y.y))(a a))) REDUCED to normal form. ------ 135990/14087073. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a a)(((a a)(a a))(a (^y.y)))) 4. ==[ alpha ]==> ((a a)(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 135991/14087082. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.a)((^z.(a a)) c)) 4. ==[ alpha ]==> ((^x.a)((^y.(a a)) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 135992/14087262. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 135993/14087289. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(b a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b a)) REDUCED to normal form. ------ 135994/14087316. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a a))((a (a a))(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a a))((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 135995/14087343. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)((^y.y) b))) 3. ==[ beta ]==> ((a (a (a a)))(a ((^y.y) b))) 4. ==[ alpha ]==> ((a (a (a a)))(a ((^x.x) b))) 5. ==[ beta ]==> ((a (a (a a)))(a b)) REDUCED to normal form. ------ 135996/14087433. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((b (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 7. ==[ beta ]==> ((b (^y.y))(^z.z)) 8. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 135997/14087460. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))(((a a)(a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 135998/14087487. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((^y.y) b)(^z.a)) 6. ==[ alpha ]==> (((^x.x) b)(^y.a)) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 135999/14087496. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 136000/14087523. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 136001/14087541. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 136002/14087568. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 136003/14087658. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((b b)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((b b)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 136004/14087703. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136005/14087730. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 136006/14087793. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(b (^y.y)))) 3. ==[ beta ]==> (((a (a a)) b)(b (^y.y))) 4. ==[ alpha ]==> (((a (a a)) b)(b (^x.x))) REDUCED to normal form. ------ 136007/14087838. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a)) b)) 5. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 7. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 136008/14087847. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 136009/14087865. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) b) c)) 3. ==[ beta ]==> ((^y.y)(((^z.z) b) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 5. ==[ beta ]==> (((^y.y) b) c) 6. ==[ alpha ]==> (((^x.x) b) c) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 136010/14087874. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.a)) REDUCED to normal form. ------ 136011/14087901. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 136012/14088216. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a)) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a)) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a)) b)) 5. ==[ beta ]==> (a ((^z.(a a)) b)) 6. ==[ alpha ]==> (a ((^x.(a a)) b)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 136013/14088477. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)((a a) a))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)((a a) a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 136014/14088504. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.z)) b)) REDUCED to normal form. ------ 136015/14088531. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 136016/14088630. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 136017/14088648. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((b a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.b)((b a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.b)((b a)(^y.(y y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 136018/14088729. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(^z.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b)(^z.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(^z.b))) IRREDUCIBLE: cycle. ------ 136019/14088792. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 136020/14088819. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))(b a))) 3. ==[ beta ]==> (((a b) a)((b a)(b a))) REDUCED to normal form. ------ 136021/14088837. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 136022/14088846. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 136023/14088864. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 136024/14088900. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 136025/14088918. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a)(a a)) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(a a)) a)) REDUCED to normal form. ------ 136026/14088954. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 136027/14088981. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 136028/14089197. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 136029/14089206. ------ 1. ==[ start ]==> (((a b)(a a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))(c (a (^x.(^y.y))))) REDUCED to normal form. ------ 136030/14089233. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b ((^y.y) b))) 3. ==[ beta ]==> ((a (a a))(b ((^y.y) b))) 4. ==[ alpha ]==> ((a (a a))(b ((^x.x) b))) 5. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 136031/14089269. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 136032/14089323. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) c)) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2))) c)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) c)) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1))) c) 8. ==[ alpha ]==> ((^x.(^y.(^z.z))) c) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136033/14089548. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 136034/14089575. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.z))) 5. ==[ beta ]==> ((^y.(y y))(b (^z.z))) 6. ==[ alpha ]==> ((^x.(x x))(b (^y.y))) 7. ==[ beta ]==> ((b (^y.y))(b (^y.y))) 8. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 136035/14089602. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a (^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 136036/14089620. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (b (((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.y))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 136037/14089629. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 136038/14089656. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 136039/14089845. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (b (((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 136040/14089944. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) b) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) a)) 5. ==[ beta ]==> (((^y.y) b) a) 6. ==[ alpha ]==> (((^x.x) b) a) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 136041/14090088. ------ 1. ==[ start ]==> (((a b) c)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a b) c)((^x.b)(^y.a))) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 136042/14090115. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.b))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.b))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 136043/14090142. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 136044/14090223. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 136045/14090421. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 136046/14090448. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(a b))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a b))) 7. ==[ beta ]==> (((a (^x.x))(a a))(a b)) REDUCED to normal form. ------ 136047/14090475. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a b))((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a b))((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a b))((a (a a))(a a))) REDUCED to normal form. ------ 136048/14090502. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 136049/14090529. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(b a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(b a))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))(b a))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 9. ==[ beta ]==> ((a (^y.y))(b a)) 10. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 136050/14090556. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 136051/14090754. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.b))) 7. ==[ beta ]==> (b ((^y.y)(^z.b))) 8. ==[ alpha ]==> (b ((^x.x)(^y.b))) 9. ==[ beta ]==> (b (^y.b)) 10. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 136052/14090898. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 136053/14090943. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a)(^y.y)) c)) 3. ==[ beta ]==> ((b a)(((a a)(^y.y)) c)) 4. ==[ alpha ]==> ((b a)(((a a)(^x.x)) c)) REDUCED to normal form. ------ 136054/14091006. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 136055/14091033. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 136056/14091087. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 136057/14091114. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 136058/14091168. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 136059/14091231. ------ 1. ==[ start ]==> (((a a)(b a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 136060/14091258. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a) a)) REDUCED to normal form. ------ 136061/14091285. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a b)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a b)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)(a (a a)))) 5. ==[ beta ]==> ((a (a a))((a b)(a (a a)))) REDUCED to normal form. ------ 136062/14091312. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a b))(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a b))(((a a) a)(^x.x))) REDUCED to normal form. ------ 136063/14091339. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((a a) a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((a a) a))) 7. ==[ beta ]==> (((a a) a)((^y.y)((a a) a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)((a a) a))) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 136064/14091366. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (a a))(a b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (a a))(a b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(a b))) REDUCED to normal form. ------ 136065/14091393. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b)(a (a a)))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a b)(a (a a)))(a (a a))) REDUCED to normal form. ------ 136066/14091420. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 136067/14091447. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(b a))) REDUCED to normal form. ------ 136068/14091510. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136069/14091591. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 136070/14091672. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (b (a (^y.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 136071/14091780. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((a a)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136072/14091816. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 136073/14091897. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 136074/14091924. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 136075/14091978. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 136076/14092077. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(a a)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136077/14092122. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 136078/14092149. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(b a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 8. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 136079/14092176. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))((a a) a))) REDUCED to normal form. ------ 136080/14092203. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y) a)(a b))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)(a b))) 5. ==[ beta ]==> (((a (a a))(a a))(a (a b))) REDUCED to normal form. ------ 136081/14092230. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a b)((a (^y.y))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a b)((a (^x.x))((^y.y)(a a)))) 7. ==[ beta ]==> ((a b)((a (^x.x))(a a))) REDUCED to normal form. ------ 136082/14092257. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 136083/14092383. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136084/14092428. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 136085/14092455. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1) a)(^x2.b))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) a)(^x2.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((^y.y) a)(^z.b)) 6. ==[ alpha ]==> (((^x.x) a)(^y.b)) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 136086/14092590. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a b) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 136087/14092707. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 136088/14092734. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 136089/14092761. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 136090/14092833. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.b) c)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.b) c)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.b) c)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 136091/14092923. ------ 1. ==[ start ]==> (((a b)(^c.a))(d (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(d (^y.a))) REDUCED to normal form. ------ 136092/14092950. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c (^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c (^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.b))) REDUCED to normal form. ------ 136093/14092977. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b (^z.(a a)))) REDUCED to normal form. ------ 136094/14093022. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1)(a a))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136095/14093031. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 136096/14093058. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 136097/14093391. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c ((a a) a))) 3. ==[ beta ]==> ((b (a a))(c ((a a) a))) REDUCED to normal form. ------ 136098/14093418. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b (a b))) REDUCED to normal form. ------ 136099/14093454. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 136100/14093697. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136101/14093733. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 136102/14093760. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a)) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 136103/14093778. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 136104/14093805. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 136105/14093814. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 136106/14093841. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.y1)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.y1)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a b))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a b)) REDUCED to normal form. ------ 136107/14093859. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a b) a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a b) a)) 3. ==[ beta ]==> (((b a)(b a))((a b) a)) REDUCED to normal form. ------ 136108/14093922. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 136109/14093949. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.b))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 136110/14094003. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 136111/14094048. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136112/14094147. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a (a (a a)))) REDUCED to normal form. ------ 136113/14094174. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.z))) REDUCED to normal form. ------ 136114/14094201. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a a)((a a) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a a)((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)((a a) a))) REDUCED to normal form. ------ 136115/14094498. ------ 1. ==[ start ]==> ((a (b (^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(c (a (a a)))) REDUCED to normal form. ------ 136116/14094588. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136117/14094777. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136118/14094813. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((b c)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b c)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 136119/14094840. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) b)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 6. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 136120/14094885. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (a a)) b)) 3. ==[ beta ]==> ((b (^y.y))((a (a a)) b)) 4. ==[ alpha ]==> ((b (^x.x))((a (a a)) b)) REDUCED to normal form. ------ 136121/14094948. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 136122/14094975. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 136123/14095047. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.a) c)) 3. ==[ beta ]==> (b ((^z.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 136124/14095056. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(c (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(c (^y.a))) REDUCED to normal form. ------ 136125/14095083. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(b (^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.b))(b (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.b))(b (^y.(y y)))) REDUCED to normal form. ------ 136126/14095155. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136127/14095164. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 136128/14095191. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 136129/14095218. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 136130/14095281. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(c (a (^y.y)))) REDUCED to normal form. ------ 136131/14095308. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(b a)) REDUCED to normal form. ------ 136132/14095335. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(a (a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) b))(a (a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(a (a (a a)))) 5. ==[ beta ]==> ((a b)(a (a (a a)))) REDUCED to normal form. ------ 136133/14095362. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 136134/14095389. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b a)((a (^y.y))(a (^z.z)))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 136135/14095416. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 136136/14095470. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(c b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(c b)) 3. ==[ beta ]==> (((a a)(a b))(c b)) REDUCED to normal form. ------ 136137/14095497. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(b c)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(b c)) REDUCED to normal form. ------ 136138/14095578. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(b (a (^z.z)))) 3. ==[ beta ]==> ((b ((^y.y) a))(b (a (^z.z)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(b (a (^y.y)))) 5. ==[ beta ]==> ((b a)(b (a (^y.y)))) 6. ==[ alpha ]==> ((b a)(b (a (^x.x)))) REDUCED to normal form. ------ 136139/14095605. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a ((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 136140/14095659. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 136141/14095749. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z)) a)) 5. ==[ beta ]==> ((^y.y)((a (^z.z)) a)) 6. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 7. ==[ beta ]==> ((a (^y.y)) a) 8. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 136142/14095830. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (b ((^x1.x1) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 136143/14095937. ------ 1. ==[ start ]==> (^a.((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 136144/14095938. ------ 1. ==[ start ]==> (a ((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 136145/14105133. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a))) a) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1))) a) 3. ==[ beta ]==> ((^y.(^z.z)) a) 4. ==[ alpha ]==> ((^x.(^y.y)) a) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136146/14105139. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136147/14105193. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 136148/14105391. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (b (^z.z)))) 3. ==[ beta ]==> (^y.(b (b (^z.z)))) 4. ==[ alpha ]==> (^x.(b (b (^y.y)))) REDUCED to normal form. ------ 136149/14105634. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 136150/14106084. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136151/14106186. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 136152/14106516. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((^y.a)(^z.z))((^y.a)(^z.z)))((^y.a)(^z.z))) 4. ==[ alpha ]==> ((((^x.a)(^y.y))((^z.a)(^x1.x1)))((^y1.a)(^z1.z1))) 5. ==[ beta ]==> ((a ((^z.a)(^x1.x1)))((^y1.a)(^z1.z1))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.y)))((^z.a)(^x1.x1))) 7. ==[ beta ]==> ((a a)((^z.a)(^x1.x1))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 136153/14106849. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a))(b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 136154/14107029. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))((^y1.y1) a)) b) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a)) b) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136155/14107293. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 136156/14107623. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.y1))((^z.(^x1.x1))(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2)))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136157/14107662. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(y y)))) 5. ==[ beta ]==> (^y.((y y)(y y))) 6. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 136158/14108298. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(a (^y1.(^z1.z1))))((^z.(^x1.x1))(a (^y1.(^z1.z1)))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.(^y2.y2)))))(^z2.z2)) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))(a (^x2.(^y2.y2)))))(^z2.z2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1)))))(^z1.z1)) 7. ==[ beta ]==> (((^y.(^z.z))(a (^x1.(^y1.y1))))(^z1.z1)) 8. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.y1)) 9. ==[ beta ]==> ((^y.y)(^y1.y1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136159/14108976. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 136160/14109054. ------ 1. ==[ start ]==> ((^a.(b a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ eta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136161/14109603. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((b a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((b a)(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 136162/14110494. ------ 1. ==[ start ]==> ((^a.(^b.b))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136163/14110809. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 136164/14111172. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.((y1 y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((y1 y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 136165/14111622. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^x.(a a))) REDUCED to normal form. ------ 136166/14111808. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.b))((^y.(^z.z))(^x1.b)))(((^y.(^z.z))(^x1.b))((^y.(^z.z))(^x1.b)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b)))(((^x2.(^y2.y2))(^z2.b))((^x3.(^y3.y3))(^z3.b)))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.b)))(((^x2.(^y2.y2))(^z2.b))((^x3.(^y3.y3))(^z3.b)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.b)))(((^y1.(^z1.z1))(^x2.b))((^y2.(^z2.z2))(^x3.b)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.b))(((^y1.(^z1.z1))(^x2.b))((^y2.(^z2.z2))(^x3.b)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.(^y1.y1))(^z1.b))((^x2.(^y2.y2))(^z2.b)))) 9. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.b))((^x2.(^y2.y2))(^z2.b)))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.b))((^y1.(^z1.z1))(^x2.b)))) 11. ==[ beta ]==> (((^y.(^z.z))(^x1.b))((^y1.(^z1.z1))(^x2.b))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b))) 13. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 15. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 16. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136167/14111847. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (^y.((^z.z)(y y))) 6. ==[ alpha ]==> (^x.((^y.y)(x x))) 7. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 136168/14112441. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(y1 b))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136169/14112621. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.b))) REDUCED to normal form. ------ 136170/14112888. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136171/14113233. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 136172/14113728. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 136173/14113836. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 136174/14113998. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 136175/14114049. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(b (^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136176/14114142. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^a.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.c)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.c)) 5. ==[ beta ]==> ((^y.y)(^z.c)) 6. ==[ alpha ]==> ((^x.x)(^y.c)) 7. ==[ beta ]==> (^y.c) 8. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 136177/14114223. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (b (^x1.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 136178/14114331. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.z1)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.z1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136179/14114343. ------ 1. ==[ start ]==> ((a a)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 136180/14114397. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 136181/14114451. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 136182/14114595. ------ 1. ==[ start ]==> ((a (^b.a))(b (b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(b (b (^y.y)))) REDUCED to normal form. ------ 136183/14114676. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((^y.a)(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((^x.a)(((a a)(a a))(a (^y.y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 136184/14114703. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 136185/14114757. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((b a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (a ((b a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (a ((b a)(^y.y))) 8. ==[ alpha ]==> (a ((b a)(^x.x))) REDUCED to normal form. ------ 136186/14114784. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 136187/14114838. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a b)(a a))) REDUCED to normal form. ------ 136188/14114946. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> ((((^y.y) a)((^z.z) b))(((^y.y) a)((^z.z) b))) 6. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(((^z.z) a)((^x1.x1) b))) 7. ==[ beta ]==> ((a ((^y.y) b))(((^z.z) a)((^x1.x1) b))) 8. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)((^z.z) b))) 9. ==[ beta ]==> ((a b)(((^y.y) a)((^z.z) b))) 10. ==[ alpha ]==> ((a b)(((^x.x) a)((^y.y) b))) 11. ==[ beta ]==> ((a b)(a ((^y.y) b))) 12. ==[ alpha ]==> ((a b)(a ((^x.x) b))) 13. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 136189/14114973. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 136190/14115036. ------ 1. ==[ start ]==> (((a (a a)) a)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) a)((b (^x.x))(^y.y))) REDUCED to normal form. ------ 136191/14115063. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 136192/14115090. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.a))) REDUCED to normal form. ------ 136193/14115117. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) REDUCED to normal form. ------ 136194/14115144. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 136195/14115207. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))(a b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(a b))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 136196/14115234. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 136197/14115252. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b b)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 136198/14115288. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 136199/14115414. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b (^z.z)) a)) 3. ==[ beta ]==> (((^y.y) a)((b (^z.z)) a)) 4. ==[ alpha ]==> (((^x.x) a)((b (^y.y)) a)) 5. ==[ beta ]==> (a ((b (^y.y)) a)) 6. ==[ alpha ]==> (a ((b (^x.x)) a)) REDUCED to normal form. ------ 136200/14115441. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(a a)) b)) REDUCED to normal form. ------ 136201/14115468. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) b) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b c)) REDUCED to normal form. ------ 136202/14115585. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 136203/14115612. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 136204/14115693. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 136205/14115720. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.y))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 136206/14115756. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 136207/14115810. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(a a))(a a))) 5. ==[ beta ]==> (a (((a a)(a a))(a a))) REDUCED to normal form. ------ 136208/14115846. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.z) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.y) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 136209/14115891. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((b a)(a (a a)))) 3. ==[ beta ]==> (((a a) a)((b a)(a (a a)))) REDUCED to normal form. ------ 136210/14115918. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 136211/14115972. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b)(a b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b)(a b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(a b))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)(a b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b)(a b))) 7. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 136212/14116053. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))(b a))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))(b a))) REDUCED to normal form. ------ 136213/14116125. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(b (^y.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(b (^y.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(b (^x.(a a)))) REDUCED to normal form. ------ 136214/14116206. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.x))) REDUCED to normal form. ------ 136215/14116224. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 136216/14116233. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 136217/14116386. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 136218/14116440. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.b))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 136219/14116494. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 136220/14116521. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a)(a a)) a)) REDUCED to normal form. ------ 136221/14116548. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) b) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b) b)) 5. ==[ beta ]==> ((^y.a)(((^z.z) b) b)) 6. ==[ alpha ]==> ((^x.a)(((^y.y) b) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 136222/14116638. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 136223/14116665. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 136224/14116692. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b)(^y1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.b))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 136225/14116746. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 136226/14116800. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 136227/14116827. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 136228/14116836. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b ((^z.z) b))) 3. ==[ beta ]==> ((^y.(a a))(b ((^z.z) b))) 4. ==[ alpha ]==> ((^x.(a a))(b ((^y.y) b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 136229/14116863. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(a ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(a a)))) 5. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 136230/14116917. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(a (^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(a (^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 136231/14116998. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 136232/14117052. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(a b))) 5. ==[ beta ]==> ((a a)(((a a) a)(a b))) REDUCED to normal form. ------ 136233/14117079. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 9. ==[ beta ]==> ((^y.y)(a a)) 10. ==[ alpha ]==> ((^x.x)(a a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 136234/14117133. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(b a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(b a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(b a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(b a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(b a))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)(b a))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)(b a))) 11. ==[ beta ]==> (((^y.y) a)(b a)) 12. ==[ alpha ]==> (((^x.x) a)(b a)) 13. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 136235/14117223. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 136236/14117250. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 136237/14117313. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 136238/14117340. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 136239/14117367. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.b)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.b)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)((a a) a))) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 136240/14117421. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 136241/14117439. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 136242/14117448. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 136243/14117475. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)(b a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(b a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(b a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 136244/14117502. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 136245/14117835. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 136246/14117871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136247/14117898. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 136248/14117916. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((b a)(a (^z.z)))) 3. ==[ beta ]==> (b ((b a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((b a)(a (^x.x)))) REDUCED to normal form. ------ 136249/14118150. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 136250/14118177. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (^b.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (^y.y))) 3. ==[ beta ]==> (((a b) a)(a (^y.y))) 4. ==[ alpha ]==> (((a b) a)(a (^x.x))) REDUCED to normal form. ------ 136251/14118204. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 136252/14118258. ------ 1. ==[ start ]==> ((a (b a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 136253/14118492. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 136254/14118807. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((b a)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((b a)(a a))) REDUCED to normal form. ------ 136255/14119086. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((b a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136256/14119383. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a)(^z.z)) b)) REDUCED to normal form. ------ 136257/14119563. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c ((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (c ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (c ((^x.x)(a a)))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 136258/14119671. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136259/14119680. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(a a)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 136260/14119698. ------ 1. ==[ start ]==> ((a (^b.b))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.x))((a b) a)) REDUCED to normal form. ------ 136261/14119824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c (^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(c (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(c (^y.(a a)))) 5. ==[ beta ]==> ((a b)(c (^y.(a a)))) 6. ==[ alpha ]==> ((a b)(c (^x.(a a)))) REDUCED to normal form. ------ 136262/14119851. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 136263/14119932. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 136264/14119977. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136265/14120013. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 136266/14120346. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b (b ((^y.y)(a a)))) 6. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 7. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 136267/14120373. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a ((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 136268/14120427. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 136269/14120463. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a) d)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a) d)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a) d)) 5. ==[ beta ]==> ((^y.(a a))((^z.a) d)) 6. ==[ alpha ]==> ((^x.(a a))((^y.a) d)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 136270/14120508. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a (a a))(^y.y))) 6. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 136271/14120625. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(^y1.y1))) REDUCED to normal form. ------ 136272/14120652. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 136273/14120688. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a) b)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a a) b)((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 136274/14120715. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 136275/14120742. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (b a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (b a))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a (b a))((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a (b a))((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a (b a))((^x.x)(^y.y))) 11. ==[ beta ]==> ((a (b a))(^y.y)) 12. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 136276/14120769. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) a) REDUCED to normal form. ------ 136277/14120796. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a b))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(a b))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(a b))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 136278/14120823. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(a a))) 5. ==[ beta ]==> ((((a a) a)(a b))(a a)) REDUCED to normal form. ------ 136279/14120850. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a b)((a a) a))(a a)) REDUCED to normal form. ------ 136280/14120877. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 136281/14120958. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 136282/14120985. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((b (a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b (a a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 136283/14121012. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 136284/14121048. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 136285/14121183. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 136286/14121327. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((b b)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((b b)((^x.x)(^y.a))) 7. ==[ beta ]==> ((b b)(^y.a)) 8. ==[ alpha ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 136287/14121354. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 136288/14121408. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 136289/14121435. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a a)(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a a)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.b))) REDUCED to normal form. ------ 136290/14121516. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z) c)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y) c)) 5. ==[ beta ]==> ((((a a) a)(^x.(a a))) c) REDUCED to normal form. ------ 136291/14121642. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(a (a b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136292/14121651. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.b) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) b) REDUCED to normal form. ------ 136293/14121678. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a) b)) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 136294/14121705. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 136295/14121768. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.(^z.z)))) REDUCED to normal form. ------ 136296/14121795. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b (^x1.a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b (^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.a))) REDUCED to normal form. ------ 136297/14121822. ------ 1. ==[ start ]==> (((a (a a))(b a))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))(b a))(a (^x.b))) REDUCED to normal form. ------ 136298/14121876. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 136299/14121903. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a b)(a b))(a ((^y.y) a))) 6. ==[ alpha ]==> (((a b)(a b))(a ((^x.x) a))) 7. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 136300/14121930. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(a (a a)))) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 136301/14121957. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 136302/14122038. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 136303/14122065. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((^y.a)(^y.a))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 136304/14122092. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 136305/14122182. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2)(^y2.y2))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2)(^y2.y2))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136306/14122263. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 136307/14122407. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((b c)((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((b c)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 136308/14122434. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 136309/14122560. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(b (a (a a)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(b (a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b (a (a a)))) REDUCED to normal form. ------ 136310/14122641. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (b (((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (b (a (a (^y.y)))) 6. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 136311/14122650. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.a) c)) 3. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 136312/14122758. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 136313/14122785. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((b (^y.a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b (^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 136314/14122812. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 136315/14122875. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b (^x.x))) a) REDUCED to normal form. ------ 136316/14122902. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 136317/14122929. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((a b)(^y.(y y))) 8. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 136318/14122983. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(c (^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(c (^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)(c (^x.(^y.y)))) REDUCED to normal form. ------ 136319/14123010. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(b (^y.a))) REDUCED to normal form. ------ 136320/14123037. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(a (^y.(y y)))) 3. ==[ beta ]==> (((a b)(a a))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 136321/14123064. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(a b))((^y.a)(a a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.a)(a a))) 5. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 136322/14123091. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 136323/14123145. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a))) a) REDUCED to normal form. ------ 136324/14123172. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 136325/14123199. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.a)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 136326/14123253. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 136327/14123343. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(a c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a c)) 3. ==[ beta ]==> (((^y.y)(^y.y))(a c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a c)) 5. ==[ beta ]==> ((^y.y)(a c)) 6. ==[ alpha ]==> ((^x.x)(a c)) 7. ==[ beta ]==> (a c) REDUCED to normal form. ------ 136328/14123424. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(a a))) 3. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 136329/14123532. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a a)) 3. ==[ beta ]==> ((^y.(^z.z))(a a)) 4. ==[ alpha ]==> ((^x.(^y.y))(a a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136330/14132736. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a))) b) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1))) b) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136331/14132760. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136332/14132841. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136333/14133042. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> (((^x.(^y.y)) b)(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136334/14133420. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(b (^z.z)))) 3. ==[ beta ]==> ((a b)(^y.(b (^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.(b (^y.y)))) REDUCED to normal form. ------ 136335/14134641. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.a)) b) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a)) b) REDUCED to normal form. ------ 136336/14134923. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.((a a)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((a a)(a a)))) REDUCED to normal form. ------ 136337/14135274. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 136338/14135607. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^y.b)) REDUCED to normal form. ------ 136339/14135625. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (b (^z.(^x1.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 136340/14135910. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a (^z.z))(^x1.(^y1.(^z1.z1))))((a (^z.z))(^x1.(^y1.(^z1.z1)))))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.(^y2.y2)))))(^z2.z2)) REDUCED to normal form. ------ 136341/14135949. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(a a)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136342/14136282. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.y1) b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136343/14136666. ------ 1. ==[ start ]==> ((^a.(b a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))(((a a)(^y.y))(^z.a))) 3. ==[ eta ]==> (b (((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 136344/14137503. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((b a)(^x1.x1))) 3. ==[ beta ]==> (((b a)(^x1.x1))(^y.(^z.z))) 4. ==[ alpha ]==> (((b a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 136345/14138037. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(b z))) 3. ==[ eta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 136346/14138421. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 136347/14138784. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 136348/14138793. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.((y1 y1)(^z1.z1)))) REDUCED to normal form. ------ 136349/14139234. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.(a a)))) REDUCED to normal form. ------ 136350/14139459. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 136351/14139864. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(a y))) 3. ==[ eta ]==> (((^x.(x x))(b a)) a) 4. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 136352/14140053. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(^z1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136353/14140062. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(x1 b))) REDUCED to normal form. ------ 136354/14141340. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^c.d)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.d)) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.d)) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.d)) 5. ==[ beta ]==> ((a b)(^y.d)) 6. ==[ alpha ]==> ((a b)(^x.d)) REDUCED to normal form. ------ 136355/14141661. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(^y1.y1)) b)) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136356/14141754. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 7. ==[ beta ]==> (^y.(a (^z.z))) 8. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 136357/14141835. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^d.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 136358/14141943. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136359/14141973. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 136360/14142054. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 136361/14142135. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136362/14142162. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 136363/14142189. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 136364/14142252. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((^y.y)(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 136365/14142333. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(b ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) b)(b a)) REDUCED to normal form. ------ 136366/14142360. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 136367/14142387. ------ 1. ==[ start ]==> (((a a)(^b.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))((b a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))((b a)(^y.y))) REDUCED to normal form. ------ 136368/14142414. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))((a a) a))) REDUCED to normal form. ------ 136369/14142441. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a b))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a b))) REDUCED to normal form. ------ 136370/14142549. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)((a (a a))(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 136371/14142594. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(a a)))) 5. ==[ beta ]==> (c (^y.(a a))) 6. ==[ alpha ]==> (c (^x.(a a))) REDUCED to normal form. ------ 136372/14142630. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)(b (^y.y)))) 3. ==[ beta ]==> ((a b)((a a)(b (^y.y)))) 4. ==[ alpha ]==> ((a b)((a a)(b (^x.x)))) REDUCED to normal form. ------ 136373/14142756. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 136374/14142828. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.b))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.b))) REDUCED to normal form. ------ 136375/14142855. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a b)(^z.(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.(a a)))) REDUCED to normal form. ------ 136376/14142918. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136377/14142945. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 136378/14142999. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136379/14143134. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 136380/14143377. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136381/14143467. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (b (((^y.y) b)(a (^z.z)))) 6. ==[ alpha ]==> (b (((^x.x) b)(a (^y.y)))) 7. ==[ beta ]==> (b (b (a (^y.y)))) 8. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 136382/14143494. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 136383/14143548. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 136384/14143575. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)((a a) a))) REDUCED to normal form. ------ 136385/14143602. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b)(a b))) REDUCED to normal form. ------ 136386/14143629. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136387/14143656. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 136388/14143800. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(a a))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(a a))(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 136389/14143827. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 136390/14143854. ------ 1. ==[ start ]==> ((a (a b))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (a b))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 136391/14143863. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 136392/14143944. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))((a a) a))) IRREDUCIBLE: cycle. ------ 136393/14144025. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136394/14144052. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(b a))) 3. ==[ beta ]==> ((a b)((^y.(y y))(b a))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(b a))) 5. ==[ beta ]==> ((a b)((b a)(b a))) REDUCED to normal form. ------ 136395/14144079. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 136396/14144133. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((a a)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 136397/14144214. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 136398/14144457. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 136399/14144484. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 136400/14144628. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) b)((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) b)((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b) b)((a a)(^y.y))) 6. ==[ alpha ]==> (((a b) b)((a a)(^x.x))) REDUCED to normal form. ------ 136401/14144655. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a b)((a a) a))) 3. ==[ beta ]==> (((a a) a)((a b)((a a) a))) REDUCED to normal form. ------ 136402/14144682. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)(a b))) REDUCED to normal form. ------ 136403/14144709. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(a a))) 7. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 136404/14144763. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 136405/14144790. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (((a (^y.y))(a (^z.(^x1.x1))))((a (^y.y))(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 136406/14144817. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)((^y.y) b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a) b)) REDUCED to normal form. ------ 136407/14144835. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> (b (a (^z.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 136408/14144907. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((b a)(^y.a))) 3. ==[ beta ]==> (((a a)(a a))((b a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))((b a)(^x.a))) REDUCED to normal form. ------ 136409/14144934. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 136410/14144961. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 136411/14144988. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a b)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a b)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 136412/14145015. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((a a) a)(^z.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)(^y.b))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(^y.b))) 6. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.b))) REDUCED to normal form. ------ 136413/14145042. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((((a a) a) a)(^y.(a a))) 8. ==[ alpha ]==> ((((a a) a) a)(^x.(a a))) REDUCED to normal form. ------ 136414/14145069. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 136415/14145123. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 136416/14145159. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) b))) 5. ==[ beta ]==> ((^y.y)((^z.z) b)) 6. ==[ alpha ]==> ((^x.x)((^y.y) b)) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 136417/14145294. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 136418/14145375. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 136419/14145438. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (b a))) 3. ==[ beta ]==> ((a (^y.b))(c (b a))) 4. ==[ alpha ]==> ((a (^x.b))(c (b a))) REDUCED to normal form. ------ 136420/14145456. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 136421/14145492. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a ((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a ((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((^x1.x1) b))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136422/14145519. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 136423/14145546. ------ 1. ==[ start ]==> (((a b)(^b.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((b a)(a (^y.y)))) REDUCED to normal form. ------ 136424/14145573. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 136425/14145600. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)(a (a a)))) REDUCED to normal form. ------ 136426/14145825. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 136427/14145852. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 136428/14145879. ------ 1. ==[ start ]==> ((a (b a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (b a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 136429/14145969. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)((a a) a))) 5. ==[ beta ]==> (b ((^z.a)((a a) a))) 6. ==[ alpha ]==> (b ((^x.a)((a a) a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 136430/14146050. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 136431/14146239. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 136432/14146320. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (b ((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 136433/14146356. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c ((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.a))(c ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 136434/14146383. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (b a))) REDUCED to normal form. ------ 136435/14146716. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((b a)(^z.z))) REDUCED to normal form. ------ 136436/14146806. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.b)(a (a a)))) 5. ==[ beta ]==> ((a a)((^z.b)(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.b)(a (a a)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 136437/14146887. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 136438/14147049. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 136439/14147184. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 136440/14147193. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 136441/14147220. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 136442/14147247. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (b a))) REDUCED to normal form. ------ 136443/14147301. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(a (^x1.x1)))) REDUCED to normal form. ------ 136444/14147526. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 136445/14147553. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 136446/14147607. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 136447/14147634. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 136448/14147643. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136449/14147670. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(z1 z1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z1.(z1 z1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a a) a)) 6. ==[ alpha ]==> ((^x.(x x))((a a) a)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 136450/14147805. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 136451/14147949. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c (a b))) 2. ==[ alpha ]==> ((((^x.x) b) a)(c (a b))) 3. ==[ beta ]==> ((b a)(c (a b))) REDUCED to normal form. ------ 136452/14147967. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136453/14147976. ------ 1. ==[ start ]==> (((a a)(^b.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(b (a a))) REDUCED to normal form. ------ 136454/14148003. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a ((a a)(^y1.y1)))) REDUCED to normal form. ------ 136455/14148084. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))(((a a) a)((^z.z) a))) 6. ==[ alpha ]==> ((^x.(a a))(((a a) a)((^y.y) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 136456/14148111. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(a (a a))) REDUCED to normal form. ------ 136457/14148138. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(^y.y))) REDUCED to normal form. ------ 136458/14148165. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 136459/14148192. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 136460/14148309. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 136461/14148336. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.(y1 y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 136462/14148363. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 136463/14148417. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.b))) 7. ==[ beta ]==> ((a a)((a (^y.y))(^z.b))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 136464/14148444. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a a)(^x.(a a)))) REDUCED to normal form. ------ 136465/14148471. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x)(a a)) a)) 3. ==[ beta ]==> (((a b)((a a) a))((a a) a)) REDUCED to normal form. ------ 136466/14148498. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a b) b)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a b) b)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b) b)) 5. ==[ beta ]==> (((a a)(^y.y))((a b) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((a b) b)) REDUCED to normal form. ------ 136467/14148669. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 136468/14148912. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.b)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136469/14148993. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 136470/14149020. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 136471/14149074. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y)(a b))) 3. ==[ beta ]==> (((b a)(b a))((^y.y)(a b))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)(a b))) 5. ==[ beta ]==> (((b a)(b a))(a b)) REDUCED to normal form. ------ 136472/14149155. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136473/14149218. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(c (^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c (^x1.x1))) REDUCED to normal form. ------ 136474/14149263. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136475/14149272. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (a b))) REDUCED to normal form. ------ 136476/14149299. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((a a) a)(a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 136477/14149326. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((((a a)(a a))(^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 136478/14149470. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a)(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 136479/14149497. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 136480/14149524. ------ 1. ==[ start ]==> (((a b)(a b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a b))((a (a a))(^x.a))) REDUCED to normal form. ------ 136481/14149551. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a)((a a) a))(a (^y.(y y)))) 6. ==[ alpha ]==> (((a a)((a a) a))(a (^x.(x x)))) REDUCED to normal form. ------ 136482/14149578. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 136483/14149632. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((a a) a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((a a) a) a)) REDUCED to normal form. ------ 136484/14149659. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((b (a (^x.x)))((^z.z) b)) 6. ==[ alpha ]==> ((b (a (^x.x)))((^y.y) b)) 7. ==[ beta ]==> ((b (a (^x.x))) b) REDUCED to normal form. ------ 136485/14149884. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(c (^z.(z z)))) 3. ==[ beta ]==> (b (c (^z.(z z)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 136486/14149992. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(y1 y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136487/14150028. ------ 1. ==[ start ]==> ((((^a.a) b) c)(c d)) 2. ==[ alpha ]==> ((((^x.x) b) c)(c d)) 3. ==[ beta ]==> ((b c)(c d)) REDUCED to normal form. ------ 136488/14150100. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 136489/14150127. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136490/14150163. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(c ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))(c ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))(c ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))(c a)) REDUCED to normal form. ------ 136491/14150181. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(x2 x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 136492/14150190. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b (a (a a)))) REDUCED to normal form. ------ 136493/14150271. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 136494/14150298. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.b))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.b))((a (^y.y)) a)) REDUCED to normal form. ------ 136495/14150370. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136496/14150406. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(c c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(c c)) 3. ==[ beta ]==> ((b (^y.a))(c c)) 4. ==[ alpha ]==> ((b (^x.a))(c c)) REDUCED to normal form. ------ 136497/14150496. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a b)) REDUCED to normal form. ------ 136498/14150577. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 136499/14150604. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.a) b)) 3. ==[ beta ]==> (((^y.y)(b a))((^z.a) b)) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.a) b)) 5. ==[ beta ]==> ((b a)((^y.a) b)) 6. ==[ alpha ]==> ((b a)((^x.a) b)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 136500/14150685. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(a b))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a a)(a b))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a b))(a (^x.x))) REDUCED to normal form. ------ 136501/14150712. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 136502/14150766. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(((^z.z) a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(a a)) REDUCED to normal form. ------ 136503/14150793. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a (^z.z)) b)) 3. ==[ beta ]==> ((b ((^y.y) a))((a (^z.z)) b)) 4. ==[ alpha ]==> ((b ((^x.x) a))((a (^y.y)) b)) 5. ==[ beta ]==> ((b a)((a (^y.y)) b)) 6. ==[ alpha ]==> ((b a)((a (^x.x)) b)) REDUCED to normal form. ------ 136504/14150874. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 136505/14150964. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((^y.y)(a (^z.z))) 8. ==[ alpha ]==> ((^x.x)(a (^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 136506/14151045. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (b (b (^x1.x1))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 136507/14151153. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136508/14160366. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a))) c) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1))) c) 3. ==[ beta ]==> ((^y.(^z.z)) c) 4. ==[ alpha ]==> ((^x.(^y.y)) c) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136509/14160690. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 136510/14160714. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b (^z.z))(a a))) 3. ==[ eta ]==> ((^y.y)((b (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(a a))) 5. ==[ beta ]==> ((b (^y.y))(a a)) 6. ==[ alpha ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 136511/14160984. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a))(a (^y.(^z.z))))(((a (a a))(a (^y.(^z.z))))((a (a a))(a (^y.(^z.z)))))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(((a (a a))(a (^z.(^x1.x1))))((a (a a))(a (^y1.(^z1.z1)))))) REDUCED to normal form. ------ 136512/14161209. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136513/14161464. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y (^z.z)))) 5. ==[ beta ]==> (a (^y.(y (^z.z)))) 6. ==[ alpha ]==> (a (^x.(x (^y.y)))) REDUCED to normal form. ------ 136514/14162571. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.((a a)(a a)))) REDUCED to normal form. ------ 136515/14163273. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 136516/14163588. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136517/14163921. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136518/14164227. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) a)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b) a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 136519/14164542. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 136520/14164854. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.(^x2.x2))) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 136521/14165136. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136522/14165745. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136523/14165928. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 136524/14166432. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 136525/14167503. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.b))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.b))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.b))) REDUCED to normal form. ------ 136526/14167701. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.x1))) REDUCED to normal form. ------ 136527/14167872. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.((a a) a))) REDUCED to normal form. ------ 136528/14169006. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(z (z z)))) REDUCED to normal form. ------ 136529/14169087. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a b)(a a))(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y) a))) 5. ==[ beta ]==> (((a b)(a a))(^x.a)) REDUCED to normal form. ------ 136530/14169300. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a (^x1.x1))(a a))) 3. ==[ eta ]==> ((^y.(^z.z))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136531/14169393. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 136532/14169582. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136533/14169630. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 136534/14169711. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 136535/14169738. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 136536/14169765. ------ 1. ==[ start ]==> (((a a) b)((^c.a)(^d.a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 136537/14169792. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 136538/14169819. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 136539/14169846. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 136540/14169882. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (b (^y.y)))) REDUCED to normal form. ------ 136541/14169909. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 136542/14169936. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((b (^y.y))(a a))) 3. ==[ beta ]==> ((a a)((b (^y.y))(a a))) 4. ==[ alpha ]==> ((a a)((b (^x.x))(a a))) REDUCED to normal form. ------ 136543/14170125. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)((a b)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)((a b)((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) a)((a b)(a a))) REDUCED to normal form. ------ 136544/14170152. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)((a a)(^z.z)))) REDUCED to normal form. ------ 136545/14170179. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(b a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(b a))) 5. ==[ beta ]==> ((a (a a))((^y.y)(b a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(b a))) 7. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 136546/14170206. ------ 1. ==[ start ]==> ((a (a (a a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 136547/14170323. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((b (^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a a))((b (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a (a a))((b (^x.x))(^y.y))) REDUCED to normal form. ------ 136548/14170350. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 136549/14170359. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 136550/14170386. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 136551/14170404. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z)))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 136552/14170413. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 136553/14170431. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 136554/14170521. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> ((b b)((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((b b)((^x.b)((^y.y)(a a)))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 136555/14170593. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (a a))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 136556/14170656. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 136557/14170683. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(b (^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(b (^z.z)))) 6. ==[ alpha ]==> (a ((^x.x)(b (^y.y)))) 7. ==[ beta ]==> (a (b (^y.y))) 8. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 136558/14170701. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b (^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((b (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b (^z.z)) a)) 5. ==[ beta ]==> ((^y.y)((b (^z.z)) a)) 6. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 7. ==[ beta ]==> ((b (^y.y)) a) 8. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 136559/14170728. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 136560/14170764. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.a))(^z.a)) 6. ==[ alpha ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 136561/14170791. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 136562/14171340. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (a a))(b a))) REDUCED to normal form. ------ 136563/14171367. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 136564/14171394. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> ((a (a (a a)))((a (^x.x)) b)) REDUCED to normal form. ------ 136565/14171421. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 136566/14171493. ------ 1. ==[ start ]==> (((^a.b) a)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 136567/14171511. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((^y.b)((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 136568/14171655. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 136569/14171673. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 136570/14171682. ------ 1. ==[ start ]==> (((a b) a)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 136571/14171709. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a a)(^x.b))((b a)(b a))) REDUCED to normal form. ------ 136572/14171727. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 136573/14171763. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 136574/14171790. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 136575/14171817. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 136576/14171844. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 136577/14171862. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.(^z.z))) c)) 3. ==[ beta ]==> (b ((a (^y.(^z.z))) c)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 136578/14171871. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 136579/14172186. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1) b)) 5. ==[ beta ]==> ((^y.y)((^y1.y1) b)) 6. ==[ alpha ]==> ((^x.x)((^y.y) b)) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 136580/14172465. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 136581/14172492. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 136582/14172519. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 136583/14172708. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136584/14172807. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 136585/14172951. ------ 1. ==[ start ]==> (((a b) c)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 136586/14172978. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.b)(^y.a))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 136587/14173059. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 136588/14173140. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136589/14173185. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 136590/14173284. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a b)(^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 136591/14173311. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 136592/14173338. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((a (a b))((^y.y)(a b))) 6. ==[ alpha ]==> ((a (a b))((^x.x)(a b))) 7. ==[ beta ]==> ((a (a b))(a b)) REDUCED to normal form. ------ 136593/14173365. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a (a a))(a a))) REDUCED to normal form. ------ 136594/14173392. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 9. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 10. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 11. ==[ beta ]==> (a ((a a)(^y.y))) 12. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 136595/14173419. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.x))(b a))) REDUCED to normal form. ------ 136596/14173446. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a b) a)((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a b) a)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 136597/14173617. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a)(^z.a))) 5. ==[ beta ]==> (b (((a a) a)(^z.a))) 6. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 136598/14173698. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 136599/14173761. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 136600/14173806. ------ 1. ==[ start ]==> (((^a.a)(b a))((b a) b)) 2. ==[ alpha ]==> (((^x.x)(b a))((b a) b)) 3. ==[ beta ]==> ((b a)((b a) b)) REDUCED to normal form. ------ 136601/14173869. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 136602/14173896. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 136603/14173950. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 136604/14173977. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 136605/14174004. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 136606/14174076. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 136607/14174094. ------ 1. ==[ start ]==> (((a a)(b a))((b a)(a a))) REDUCED to normal form. ------ 136608/14174121. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 136609/14174148. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((^y.y) a))) 7. ==[ beta ]==> ((a (a a))((a a)((^y.y) a))) 8. ==[ alpha ]==> ((a (a a))((a a)((^x.x) a))) 9. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 136610/14174175. ------ 1. ==[ start ]==> (((a (a a))(a b))((a b)(a (a a)))) REDUCED to normal form. ------ 136611/14174202. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(((a a) a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(((a a) a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) a)(((a a) a)(^y.y))) 8. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 136612/14174229. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((a a) a))) 7. ==[ beta ]==> ((((a a) a)(^x.x))((a a) a)) REDUCED to normal form. ------ 136613/14174256. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a))(a b))) REDUCED to normal form. ------ 136614/14174283. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)(a ((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a) a)(a ((^x.x)(a a)))) 9. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 136615/14174310. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 136616/14174355. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136617/14174373. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((b a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((b a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(^x1.x1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136618/14174454. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a b)(^z.(z z)))) 5. ==[ beta ]==> ((a a)((a b)(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 136619/14174535. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))(^x1.b))) 3. ==[ beta ]==> (b ((a (a a))(^x1.b))) 4. ==[ alpha ]==> (b ((a (a a))(^x.b))) REDUCED to normal form. ------ 136620/14174643. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((b a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((b a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((b a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136621/14174670. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 136622/14174697. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z)(a a)) c)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) c)) 5. ==[ beta ]==> (((^y.y)(a a)) c) 6. ==[ alpha ]==> (((^x.x)(a a)) c) 7. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 136623/14174760. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 136624/14174787. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 136625/14174841. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 136626/14174967. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) c)) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 136627/14174985. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a b) a)) REDUCED to normal form. ------ 136628/14175012. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 136629/14175039. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 10. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 136630/14175066. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 136631/14175093. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(a b))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(a b))) 7. ==[ beta ]==> ((a b)(a (a b))) REDUCED to normal form. ------ 136632/14175120. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^x.x))(a a))) REDUCED to normal form. ------ 136633/14175147. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(^y.y))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 136634/14175246. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136635/14175291. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136636/14175453. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (b (((^z.z)(a a)) b)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 136637/14175570. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 136638/14175597. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(^z.b))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.b))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.b))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 136639/14175624. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 136640/14175696. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(a a)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(a a)) b)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 136641/14175921. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(a a))(a a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(a a))(a a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(a a))(a a))) 5. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 136642/14176560. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a b)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136643/14176596. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((b b)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((b b)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 136644/14176623. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 136645/14176641. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 136646/14176668. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 136647/14176677. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 136648/14176704. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 136649/14176722. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a)(^y.b))) 3. ==[ beta ]==> (((b a)(b a))((a a)(^y.b))) 4. ==[ alpha ]==> (((b a)(b a))((a a)(^x.b))) REDUCED to normal form. ------ 136650/14176785. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 136651/14176803. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 136652/14176812. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 136653/14176866. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 136654/14176920. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.b)) REDUCED to normal form. ------ 136655/14177010. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (a a))((^x.x) a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((a (a a)) a)) REDUCED to normal form. ------ 136656/14177037. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) b)(a (a (a a)))) REDUCED to normal form. ------ 136657/14177064. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^y1.y1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 136658/14177091. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a)((a a) a))) REDUCED to normal form. ------ 136659/14177640. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136660/14177676. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((b c)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((b c)((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 136661/14177703. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 136662/14177748. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((b (^x.x))((^z.z) a)) 6. ==[ alpha ]==> ((b (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 136663/14177775. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (a a)) b)) 3. ==[ beta ]==> ((^y.y)((a (a a)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 136664/14177811. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 136665/14177838. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 136666/14177910. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(z z)) b)) 3. ==[ beta ]==> (b ((^z.(z z)) b)) 4. ==[ alpha ]==> (b ((^x.(x x)) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 136667/14177946. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(c (^z.a))) 3. ==[ beta ]==> (((a a)(^y.b))(c (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.b))(c (^y.a))) REDUCED to normal form. ------ 136668/14178018. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136669/14178027. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a)(a a))) REDUCED to normal form. ------ 136670/14178054. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 136671/14178081. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 136672/14178198. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(b ((^z.z) a))) 3. ==[ beta ]==> ((a ((^y.y) b))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(b ((^y.y) a))) 5. ==[ beta ]==> ((a b)(b ((^y.y) a))) 6. ==[ alpha ]==> ((a b)(b ((^x.x) a))) 7. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 136673/14178225. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a (a (a a)))) REDUCED to normal form. ------ 136674/14178252. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((^y.y)(b a))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((b a)(((^y.y) a)(a a))) 6. ==[ alpha ]==> ((b a)(((^x.x) a)(a a))) 7. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 136675/14178279. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 136676/14178306. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a a))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a a))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a b)(a a))((a a) a)) REDUCED to normal form. ------ 136677/14178441. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(c (a a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(c (a a))) 3. ==[ beta ]==> ((b ((^y.y) a))(c (a a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(c (a a))) 5. ==[ beta ]==> ((b a)(c (a a))) REDUCED to normal form. ------ 136678/14178468. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 136679/14178522. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a (^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 136680/14178612. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 136681/14178693. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136682/14178801. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136683/14178827. ------ 1. ==[ start ]==> (^a.((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (^x.((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (^x.(^z.(z z))) 4. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 136684/14178828. ------ 1. ==[ start ]==> (a ((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (a (^y.(y y))) 4. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 136685/14183295. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(y1 (^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 136686/14183583. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^x1.(^y1.(^z1.(^x2.x2))))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 136687/14188056. ------ 1. ==[ start ]==> ((^a.a)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(^z.(z z))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 136688/14188083. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.(^y2.y2)))(^z2.(^x3.x3)))) 5. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.(^y2.y2)))(^z2.(^x3.x3)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136689/14188191. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^z.b)(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (b (^x1.x1)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136690/14188308. ------ 1. ==[ start ]==> ((^a.(^b.a))(c ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(c ((a a)(a a)))) 3. ==[ beta ]==> (^y.(c ((a a)(a a)))) 4. ==[ alpha ]==> (^x.(c ((a a)(a a)))) REDUCED to normal form. ------ 136691/14188551. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 136692/14189433. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.(y y))(^z.(^x1.(^y1.y1))))((^y.(y y))(^z.(^x1.(^y1.y1)))))((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.(^y2.y2)))))((^z2.(z2 z2))(^x3.(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.(^y2.y2)))))((^z2.(z2 z2))(^x3.(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(x2 x2))(^y2.(^z2.(^x3.x3)))))((^y3.(y3 y3))(^z3.(^x4.(^y4.y4))))) 7. ==[ beta ]==> (((^y.(^z.z))((^x2.(x2 x2))(^y2.(^z2.(^x3.x3)))))((^y3.(y3 y3))(^z3.(^x4.(^y4.y4))))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1)))))((^x2.(x2 x2))(^y2.(^z2.(^x3.x3))))) 9. ==[ beta ]==> ((^y.y)((^x2.(x2 x2))(^y2.(^z2.(^x3.x3))))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 11. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 12. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 13. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 14. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 15. ==[ beta ]==> (^y.(^z.z)) 16. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136693/14189526. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(b (^x1.x1)))) 5. ==[ beta ]==> (a (^z.(b (^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(b (^y.y)))) REDUCED to normal form. ------ 136694/14189766. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 136695/14189946. ------ 1. ==[ start ]==> ((^a.(a b))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z))) b) 4. ==[ alpha ]==> (((^x.x)(a (^y.y))) b) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 136696/14190540. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(((^z.a)(^x1.(^y1.(^z1.z1))))((^z.a)(^x1.(^y1.(^z1.z1)))))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)(^z.(^x1.(^y1.y1))))((^z1.a)(^x2.(^y2.(^z2.z2)))))) 5. ==[ beta ]==> (((^y.a)(^z.(^x1.(^y1.y1))))((^z1.a)(^x2.(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (((^x.a)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> (a ((^y1.a)(^z1.(^x2.(^y2.y2))))) 8. ==[ alpha ]==> (a ((^x.a)(^y.(^z.(^x1.x1))))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 136697/14190930. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (b (^z.((^x1.x1) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 136698/14191215. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> ((((^z.a)(b a))((^z.a)(b a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)(b a))((^y.a)(b a)))(^z.z)) 5. ==[ beta ]==> ((a ((^y.a)(b a)))(^z.z)) 6. ==[ alpha ]==> ((a ((^x.a)(b a)))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 136699/14191920. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 136700/14192208. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 136701/14192520. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 136702/14192523. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 (^y1.(^z1.z1))))) REDUCED to normal form. ------ 136703/14192808. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x1.(^y1.(^z1.z1))))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 136704/14192811. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 136705/14193411. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136706/14193726. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 136707/14194566. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 136708/14194725. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((^y.a)(^z.a))((^y.a)(^z.a)))(((^y.a)(^z.a))((^y.a)(^z.a)))) 4. ==[ alpha ]==> ((((^x.a)(^y.a))((^z.a)(^x1.a)))(((^y1.a)(^z1.a))((^x2.a)(^y2.a)))) 5. ==[ beta ]==> ((a ((^z.a)(^x1.a)))(((^y1.a)(^z1.a))((^x2.a)(^y2.a)))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.a)))(((^z.a)(^x1.a))((^y1.a)(^z1.a)))) 7. ==[ beta ]==> ((a a)(((^z.a)(^x1.a))((^y1.a)(^z1.a)))) 8. ==[ alpha ]==> ((a a)(((^x.a)(^y.a))((^z.a)(^x1.a)))) 9. ==[ beta ]==> ((a a)(a ((^z.a)(^x1.a)))) 10. ==[ alpha ]==> ((a a)(a ((^x.a)(^y.a)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 136709/14195565. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.b))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.b))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 136710/14195727. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.((a a) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((a a) a))) REDUCED to normal form. ------ 136711/14195805. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136712/14195898. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.((y1 y1) y1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.((y1 y1) y1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.((x2 x2) x2))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.((x2 x2) x2))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z) z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136713/14196672. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 136714/14196780. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 136715/14196861. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^z.a)) REDUCED to normal form. ------ 136716/14197140. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (b (^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 136717/14197248. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(z1 z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(z1 z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136718/14197287. ------ 1. ==[ start ]==> ((a a)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((a a)(^y.(y y))) 4. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 136719/14197314. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 136720/14197395. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 136721/14197422. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 136722/14197539. ------ 1. ==[ start ]==> ((a (^b.a))(c ((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(c ((a a)(a a)))) REDUCED to normal form. ------ 136723/14197620. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b (^z.z))(a a))) 3. ==[ beta ]==> ((^y.a)((b (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.a)((b (^y.y))(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 136724/14197647. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 136725/14197656. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 136726/14197701. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> (a ((a (^y.(^z.z)))(a (a a)))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 136727/14197728. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((b a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 136728/14197782. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)(a b))) REDUCED to normal form. ------ 136729/14197890. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a (a a))(a (^y.(^z.z))))((a (a a))(a (^y.(^z.z))))) 6. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (a a))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 136730/14197917. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 136731/14197971. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(b (^z.z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(b (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(b (^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(b (^z.z)))) 6. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 7. ==[ beta ]==> ((a a)(b (^y.y))) 8. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 136732/14198007. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 136733/14198034. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 136734/14198061. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) b)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 136735/14198088. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 136736/14198178. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(a a))(a b))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(a a))(a b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(a b))) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 136737/14198196. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b)(^y.(a a)))) 3. ==[ beta ]==> ((b b)((a b)(^y.(a a)))) 4. ==[ alpha ]==> ((b b)((a b)(^x.(a a)))) REDUCED to normal form. ------ 136738/14198205. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 136739/14198331. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 136740/14198385. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b (^z.z)) a)) REDUCED to normal form. ------ 136741/14198412. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(a a)) b)) REDUCED to normal form. ------ 136742/14198439. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) b) c)) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) b) c)) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) b) c)) 5. ==[ beta ]==> ((a (^x.a))(b c)) REDUCED to normal form. ------ 136743/14198556. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 136744/14198583. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.(a a)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 136745/14198664. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 136746/14198700. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c ((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(c ((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y) b))) 5. ==[ beta ]==> (c ((^y.y) b)) 6. ==[ alpha ]==> (c ((^x.x) b)) 7. ==[ beta ]==> (c b) REDUCED to normal form. ------ 136747/14198754. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (b (^z.z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (b (^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (b (^z.z)))) 5. ==[ beta ]==> (a (a (b (^z.z)))) 6. ==[ alpha ]==> (a (a (b (^x.x)))) REDUCED to normal form. ------ 136748/14198790. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a)) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a)) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a)) b)) 5. ==[ beta ]==> (b ((^y.(a a)) b)) 6. ==[ alpha ]==> (b ((^x.(a a)) b)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 136749/14198817. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.b) c)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x) c)) 3. ==[ beta ]==> ((((a a) a) a) c) REDUCED to normal form. ------ 136750/14198835. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 136751/14198862. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((b a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (a a)))) 5. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 136752/14198916. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))((a a) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))((a a) a))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))((a a) a))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))((a a) a))) 9. ==[ beta ]==> ((a a)((a a)((a a) a))) REDUCED to normal form. ------ 136753/14198997. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.b))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 136754/14199096. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b (^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(b (^y.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(b (^x.(a a)))) REDUCED to normal form. ------ 136755/14199168. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> (b (b (^y.(^z.z)))) 6. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 136756/14199177. ------ 1. ==[ start ]==> ((a (a b))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> ((a (a b))(a (^y.y))) 4. ==[ alpha ]==> ((a (a b))(a (^x.x))) REDUCED to normal form. ------ 136757/14199330. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 136758/14199357. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 136759/14199438. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 136760/14199492. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(a a)) a)) 5. ==[ beta ]==> ((^y.a)(((a a)(a a)) a)) 6. ==[ alpha ]==> ((^x.a)(((a a)(a a)) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 136761/14199519. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) b) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 136762/14199546. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.(^z.z))) c)) REDUCED to normal form. ------ 136763/14199636. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 136764/14199663. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.b))) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 136765/14199717. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 136766/14199771. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 136767/14199780. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.(a a))(c (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.(a a))(c (a (^y.(^z.z))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 136768/14199807. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b ((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 136769/14199861. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(a a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(a a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a a))) 7. ==[ beta ]==> (((^y.y) b)(a a)) 8. ==[ alpha ]==> (((^x.x) b)(a a)) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 136770/14199942. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b (((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 136771/14199996. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)((a a) a))) 5. ==[ beta ]==> ((a a)((a b)((a a) a))) REDUCED to normal form. ------ 136772/14200023. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a b))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 136773/14200077. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (a a))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (a a))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))((a a)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))((a a)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))((a a)(^x1.x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((a a)(^z.z)))) 9. ==[ beta ]==> ((^y.y)((a (a a))((a a)(^z.z)))) 10. ==[ alpha ]==> ((^x.x)((a (a a))((a a)(^y.y)))) 11. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 12. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 136774/14200158. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (b ((a a)((^z.z) b))) 4. ==[ alpha ]==> (b ((a a)((^x.x) b))) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 136775/14200194. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(b (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 136776/14200230. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 136777/14200311. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 136778/14200338. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)((a a) a))) 5. ==[ beta ]==> ((a (a a))((^y.b)((a a) a))) 6. ==[ alpha ]==> ((a (a a))((^x.b)((a a) a))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 136779/14200383. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 136780/14200392. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 136781/14200419. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 136782/14200446. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(b a))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 136783/14200842. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 136784/14200860. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 136785/14200869. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a b)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 136786/14201121. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) a)(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b) a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 136787/14201148. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a (^z.z))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 136788/14201175. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 136789/14201436. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 136790/14201751. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 136791/14202039. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 136792/14202327. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((b a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((b a) a)) REDUCED to normal form. ------ 136793/14202354. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a)(^x1.x1)) b)) REDUCED to normal form. ------ 136794/14202615. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136795/14202642. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 136796/14202822. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 136797/14202921. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a b)(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136798/14202930. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 136799/14202957. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.a)(a (a a)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 136800/14203290. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c (a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c (a b))) 3. ==[ beta ]==> (((^y.y) b)(c (a b))) 4. ==[ alpha ]==> (((^x.x) b)(c (a b))) 5. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 136801/14203317. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 136802/14203371. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 136803/14203407. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.b) c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b) c)) 5. ==[ beta ]==> ((^y.(a a))((^z.b) c)) 6. ==[ alpha ]==> ((^x.(a a))((^y.b) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 136804/14203434. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.a) d)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a) d)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 136805/14203452. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (b ((^y.y)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 136806/14203560. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136807/14203596. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> ((b (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((b (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 136808/14203632. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) b)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 136809/14203686. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 136810/14203713. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.z)) 10. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 136811/14203740. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.a)((a a) a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((a a) a))) 7. ==[ beta ]==> ((a a)((^y.a)((a a) a))) 8. ==[ alpha ]==> ((a a)((^x.a)((a a) a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 136812/14203767. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 136813/14203794. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(a a))) 5. ==[ beta ]==> (((a b)((a a) a))(a a)) REDUCED to normal form. ------ 136814/14203821. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 136815/14203848. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) b) REDUCED to normal form. ------ 136816/14203902. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 136817/14203929. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((b (a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b (a a))(^y.y)) 8. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 136818/14203956. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 136819/14203992. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (a b))) 3. ==[ beta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 136820/14204127. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(a (a a)))) 3. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 136821/14204271. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b b)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 136822/14204298. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a)(a a)) a)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)(^y.a))) 5. ==[ beta ]==> ((((a a)(a a)) a)(^y.a)) 6. ==[ alpha ]==> ((((a a)(a a)) a)(^x.a)) REDUCED to normal form. ------ 136823/14204352. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 136824/14204460. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((a a) a) b)) REDUCED to normal form. ------ 136825/14204487. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.b))((^z.z) c)) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.y) c)) 5. ==[ beta ]==> (((a b)(^x.b)) c) REDUCED to normal form. ------ 136826/14204586. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(b ((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136827/14204622. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.b) a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.b) a)) 5. ==[ beta ]==> ((b (^x.(^y.y))) b) REDUCED to normal form. ------ 136828/14204766. ------ 1. ==[ start ]==> (((a (a a))(b a))(b (^c.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(b (^x.a))) REDUCED to normal form. ------ 136829/14204793. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(a (^x1.b))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (^z.b))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.b))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 136830/14204847. ------ 1. ==[ start ]==> (((a b)(a b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 136831/14204874. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((a a)((a a) a))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (((a a)((a a) a))(a ((^y.y) a))) 8. ==[ alpha ]==> (((a a)((a a) a))(a ((^x.x) a))) 9. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 136832/14204901. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 136833/14204955. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)((a a) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a) a)) REDUCED to normal form. ------ 136834/14204982. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)(^z.z))) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 136835/14205009. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 136836/14205036. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (b (^x.x)))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((a (b (^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 136837/14205126. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a ((a a) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(a ((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136838/14205207. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (b (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 136839/14205351. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((b c)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((b c)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((b c)(a (^y.a))) 6. ==[ alpha ]==> ((b c)(a (^x.a))) REDUCED to normal form. ------ 136840/14205378. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 136841/14205486. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a) c)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a) c)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) c)) 5. ==[ beta ]==> ((a (^x.x))(a c)) REDUCED to normal form. ------ 136842/14205585. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 136843/14205594. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a b)(^x.(a a)))(b b)) REDUCED to normal form. ------ 136844/14205621. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.a) c)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.a) c)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a) c)) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 136845/14205702. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 136846/14205729. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.a))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b (^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 136847/14205756. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 136848/14205819. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(b (^x.x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 136849/14205846. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a))) a) REDUCED to normal form. ------ 136850/14205873. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 136851/14205900. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(z z))) REDUCED to normal form. ------ 136852/14205981. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(b (^y.a))) 3. ==[ beta ]==> (((a b)(a a))(b (^y.a))) 4. ==[ alpha ]==> (((a b)(a a))(b (^x.a))) REDUCED to normal form. ------ 136853/14206008. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(a (^y.(y y)))) 3. ==[ beta ]==> (((a a)(a b))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a b))(a (^x.(x x)))) REDUCED to normal form. ------ 136854/14206035. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a)) a) REDUCED to normal form. ------ 136855/14206089. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a))) a) REDUCED to normal form. ------ 136856/14206116. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.a)(^z.z))) 5. ==[ beta ]==> ((b a)((^y.a)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.a)(^y.y))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 136857/14206143. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 136858/14206287. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(b b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b b)) 5. ==[ beta ]==> ((^y.y)(b b)) 6. ==[ alpha ]==> ((^x.x)(b b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 136859/14206368. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> (b (a (a (^x1.x1)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 136860/14206476. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136861/14210979. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 136862/14215758. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136863/14216001. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 136864/14216568. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136865/14216841. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 7. ==[ beta ]==> (^y.(y (^z.z))) 8. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 136866/14217639. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) b)(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z))) b) 5. ==[ beta ]==> ((b (^y.(^z.z))) b) 6. ==[ alpha ]==> ((b (^x.(^y.y))) b) REDUCED to normal form. ------ 136867/14218026. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (^y.(((^z.(^x1.(^y1.y1)))(^z1.a))((^z.(^x1.(^y1.y1)))(^z1.a)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.(^x1.x1)))(^y1.a))((^z1.(^x2.(^y2.y2)))(^z2.a)))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))((^z1.(^x2.(^y2.y2)))(^z2.a)))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.a)))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136868/14218632. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 136869/14219307. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 136870/14219664. ------ 1. ==[ start ]==> ((^a.(b a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((b a)(^y.(^z.z)))) 3. ==[ eta ]==> (b ((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 136871/14220213. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 136872/14220216. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(^z1.(^x2.x2))))) REDUCED to normal form. ------ 136873/14220513. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136874/14220783. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(y1 a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136875/14221419. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 136876/14222259. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 136877/14222700. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(^z1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136878/14223087. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(x1 b))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(x1 b))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(z b))) REDUCED to normal form. ------ 136879/14223498. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (a a)) c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136880/14223591. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(^y2.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(^y2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136881/14223888. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 136882/14224158. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136883/14224659. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^b.a) a)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.a) a)) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136884/14224833. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 136885/14224941. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136886/14224998. ------ 1. ==[ start ]==> ((a (^a.a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 136887/14225025. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136888/14225133. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136889/14225187. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 136890/14225214. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136891/14225241. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 136892/14225277. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b (b (^z.z)))) 3. ==[ beta ]==> ((^y.y)(b (b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b (b (^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 136893/14225358. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 136894/14225385. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> ((a a)(((^y.y) b)((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)((^y.y) a))) 5. ==[ beta ]==> ((a a)(b ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(b ((^x.x) a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 136895/14225412. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 136896/14225439. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((b a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(^x1.x1))) REDUCED to normal form. ------ 136897/14225466. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 136898/14225574. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(b a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(b a))) 5. ==[ beta ]==> ((a a)((^y.y)(b a))) 6. ==[ alpha ]==> ((a a)((^x.x)(b a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 136899/14225655. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((a b)((a (^y.y))((a a)(a a)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 136900/14225682. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a a)(b (^x.x)))) REDUCED to normal form. ------ 136901/14225781. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 6. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 136902/14225808. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 136903/14225826. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 136904/14225880. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a)(^z.b))) 6. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 136905/14225907. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((a b)(^x.(a a)))) REDUCED to normal form. ------ 136906/14225943. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136907/14225970. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136908/14226024. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1) b))) 5. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1) b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 7. ==[ beta ]==> ((^y.a)((^z.z) b)) 8. ==[ alpha ]==> ((^x.a)((^y.y) b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 136909/14226078. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(b (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(b (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(b (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(b (^z.z)))) 7. ==[ beta ]==> ((^y.y)(b (^z.z))) 8. ==[ alpha ]==> ((^x.x)(b (^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136910/14226159. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.a)) REDUCED to normal form. ------ 136911/14226402. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 136912/14226492. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a)(a a))(a a))) 3. ==[ beta ]==> (((^y.y) b)(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(a a))(a a))) 5. ==[ beta ]==> (b (((a a)(a a))(a a))) REDUCED to normal form. ------ 136913/14226519. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) a)(b (a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a) a)(b (a (^x.x)))) REDUCED to normal form. ------ 136914/14226573. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(a (a a)))) REDUCED to normal form. ------ 136915/14226600. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(((a a)(^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 136916/14226627. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a)((a a) a))) REDUCED to normal form. ------ 136917/14226654. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136918/14226681. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 136919/14226852. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 136920/14226879. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 136921/14226888. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 136922/14227050. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 136923/14227077. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 136924/14227104. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(z z))(b a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(b a))) 5. ==[ beta ]==> ((^y.(y y))(b a)) 6. ==[ alpha ]==> ((^x.(x x))(b a)) 7. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 136925/14227158. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 136926/14227239. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 136927/14227266. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 136928/14227482. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 136929/14227509. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136930/14227653. ------ 1. ==[ start ]==> (((a b) b)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b) b)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 136931/14227680. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 136932/14227707. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b)((a a) a))) REDUCED to normal form. ------ 136933/14227734. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)(a b))) REDUCED to normal form. ------ 136934/14227788. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))((a a)(^z.z)))) REDUCED to normal form. ------ 136935/14227815. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(b a))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(b a))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(b a))) 7. ==[ beta ]==> ((((^y.y) a)(b a))(((^y.y) a)(b a))) 8. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a)(b a))) 9. ==[ beta ]==> ((a (b a))(((^y.y) a)(b a))) 10. ==[ alpha ]==> ((a (b a))(((^x.x) a)(b a))) 11. ==[ beta ]==> ((a (b a))(a (b a))) REDUCED to normal form. ------ 136936/14227842. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 136937/14227860. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b (^z.z))) 3. ==[ beta ]==> (b (b (^z.z))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 136938/14227869. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 136939/14227932. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 136940/14227959. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((b a)(^y.a))) REDUCED to normal form. ------ 136941/14227986. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a) a))(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 136942/14228013. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 136943/14228040. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)(^y.a))) 5. ==[ beta ]==> ((a (a a))((a b)(^y.a))) 6. ==[ alpha ]==> ((a (a a))((a b)(^x.a))) REDUCED to normal form. ------ 136944/14228067. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a) a)(^y.b))) 3. ==[ beta ]==> ((((a a) a) a)(((a a) a)(^y.b))) 4. ==[ alpha ]==> ((((a a) a) a)(((a a) a)(^x.b))) REDUCED to normal form. ------ 136945/14228094. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(a a))) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 136946/14228184. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136947/14228319. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136948/14228427. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136949/14228517. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(b (a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.(^x1.x1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136950/14228544. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a ((^y.y) b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a b)) REDUCED to normal form. ------ 136951/14228571. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 136952/14228598. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 136953/14228625. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 136954/14228877. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 136955/14228904. ------ 1. ==[ start ]==> ((a (b a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 136956/14228994. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.b)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 136957/14229075. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (b (((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (b ((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 136958/14229183. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((b a)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((b a)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 136959/14229264. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 136960/14229345. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136961/14229453. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 136962/14229471. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (((a a)(b a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 136963/14229732. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136964/14229750. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 136965/14229831. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 136966/14229912. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136967/14230020. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136968/14230074. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136969/14230128. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.(z z)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(y y)))) 9. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 136970/14230209. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 5. ==[ beta ]==> (b ((^y.b)(^y.b))) 6. ==[ alpha ]==> (b ((^x.b)(^y.b))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 136971/14230272. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 136972/14230326. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a)(^x1.x1))(a a))) REDUCED to normal form. ------ 136973/14230362. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(a a)) c)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 136974/14230578. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 136975/14230632. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a b)(^z.a))) REDUCED to normal form. ------ 136976/14230659. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((a b)(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> ((a b)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 136977/14230668. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 136978/14230695. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136979/14230830. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 136980/14230938. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136981/14230992. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.b))) 5. ==[ beta ]==> (b ((^y.a)(^z.b))) 6. ==[ alpha ]==> (b ((^x.a)(^y.b))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 136982/14231001. ------ 1. ==[ start ]==> (((a a)(^b.b))(c (a b))) 2. ==[ alpha ]==> (((a a)(^x.x))(c (a b))) REDUCED to normal form. ------ 136983/14231019. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136984/14231028. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b ((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (a a))) REDUCED to normal form. ------ 136985/14231109. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))((a b)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.(a a))((a b)(a (^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 136986/14231136. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(((a a) a) a)) REDUCED to normal form. ------ 136987/14231163. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a b)(^x.a))(a (a a))) REDUCED to normal form. ------ 136988/14231190. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (a a))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 136989/14231217. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a ((a a) a))) REDUCED to normal form. ------ 136990/14231262. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(b (^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 136991/14231271. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(a a))) REDUCED to normal form. ------ 136992/14231334. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 136993/14231361. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((a a) a)(^x1.a))) REDUCED to normal form. ------ 136994/14231388. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (b a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (b a))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((a (b a))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((a (b a))(^y.(y y))) 8. ==[ alpha ]==> ((a (b a))(^x.(x x))) REDUCED to normal form. ------ 136995/14231415. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 136996/14231469. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 136997/14231496. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 136998/14231523. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a)) a)) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a)) a)) 7. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 136999/14231550. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a b) b)) REDUCED to normal form. ------ 137000/14231694. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137001/14231937. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(a (^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137002/14232018. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 137003/14232045. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a a))) 6. ==[ alpha ]==> ((^x.(x x))(a (a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 137004/14232099. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 137005/14232180. ------ 1. ==[ start ]==> (((^a.b)(a b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 137006/14232297. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b ((a a) a))) REDUCED to normal form. ------ 137007/14232324. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(a (a b))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(a (a b))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 137008/14232351. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 137009/14232387. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 137010/14232522. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((a a) a)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 137011/14232549. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 137012/14232576. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (a a))(^y.a))) 3. ==[ beta ]==> (((a a)((a a) a))((a (a a))(^y.a))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (a a))(^x.a))) REDUCED to normal form. ------ 137013/14232603. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.(x1 x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(z z)))) REDUCED to normal form. ------ 137014/14232684. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((a a) a) a)) 3. ==[ beta ]==> ((b (a (^y.y)))(((a a) a) a)) 4. ==[ alpha ]==> ((b (a (^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 137015/14232711. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> ((((a a)(a a))(a a))((^y.y) b)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x) b)) 5. ==[ beta ]==> ((((a a)(a a))(a a)) b) REDUCED to normal form. ------ 137016/14232738. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (a a)) c)) REDUCED to normal form. ------ 137017/14233017. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137018/14233053. ------ 1. ==[ start ]==> ((((^a.a) b) c)(d c)) 2. ==[ alpha ]==> ((((^x.x) b) c)(d c)) 3. ==[ beta ]==> ((b c)(d c)) REDUCED to normal form. ------ 137019/14233080. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(c d)) REDUCED to normal form. ------ 137020/14233125. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((b (^x.x))(^z.z)) 8. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 137021/14233152. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137022/14233206. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.a)(^z1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 137023/14233296. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (a a))(a a))) REDUCED to normal form. ------ 137024/14233323. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.b))(a (a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.b))(a (a (^y.y)))) REDUCED to normal form. ------ 137025/14233395. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137026/14233521. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 137027/14233548. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a b)) REDUCED to normal form. ------ 137028/14233575. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (^z.z)) c)) 3. ==[ beta ]==> ((a ((^y.y) b))((a (^z.z)) c)) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y)) c)) 5. ==[ beta ]==> ((a b)((a (^y.y)) c)) 6. ==[ alpha ]==> ((a b)((a (^x.x)) c)) REDUCED to normal form. ------ 137029/14233629. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y)) a)) 5. ==[ beta ]==> ((b a)((^y.(y y)) a)) 6. ==[ alpha ]==> ((b a)((^x.(x x)) a)) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 137030/14233656. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.a) b)) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x))) a) REDUCED to normal form. ------ 137031/14233683. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 137032/14233737. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a (^y.y))) REDUCED to normal form. ------ 137033/14233791. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a a)(^z.a))) REDUCED to normal form. ------ 137034/14233818. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(((^z.z) a) a)) 3. ==[ beta ]==> ((b ((^y.y) a))(((^z.z) a) a)) 4. ==[ alpha ]==> ((b ((^x.x) a))(((^y.y) a) a)) 5. ==[ beta ]==> ((b a)(((^y.y) a) a)) 6. ==[ alpha ]==> ((b a)(((^x.x) a) a)) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 137035/14233845. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 137036/14233899. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^b.a) a)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.a) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.a) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.a) a)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 137037/14233989. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))(a a)) 8. ==[ alpha ]==> ((^x.(^y.y))(a a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137038/14234070. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 137039/14234178. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137040/14234550. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> ((^y.y)(^z.((^x1.(^y1.y1)) z))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.(^x1.x1)) y))) 5. ==[ eta ]==> ((^x.x)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137041/14243136. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.((^y1.y1) x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) z))) 5. ==[ eta ]==> ((^x.(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137042/14243793. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a ((^z.(^x1.x1)) a))) 3. ==[ eta ]==> ((^y.y)(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 137043/14243796. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> ((a ((^x.x) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 137044/14244063. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(b a))((((^y.y)(^z.z))(b a))(((^y.y)(^z.z))(b a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((((^z.z)(^x1.x1))(b a))(((^y1.y1)(^z1.z1))(b a)))) 5. ==[ beta ]==> (((^y.y)(b a))((((^z.z)(^x1.x1))(b a))(((^y1.y1)(^z1.z1))(b a)))) 6. ==[ alpha ]==> (((^x.x)(b a))((((^y.y)(^z.z))(b a))(((^x1.x1)(^y1.y1))(b a)))) 7. ==[ beta ]==> ((b a)((((^y.y)(^z.z))(b a))(((^x1.x1)(^y1.y1))(b a)))) 8. ==[ alpha ]==> ((b a)((((^x.x)(^y.y))(b a))(((^z.z)(^x1.x1))(b a)))) 9. ==[ beta ]==> ((b a)(((^y.y)(b a))(((^z.z)(^x1.x1))(b a)))) 10. ==[ alpha ]==> ((b a)(((^x.x)(b a))(((^y.y)(^z.z))(b a)))) 11. ==[ beta ]==> ((b a)((b a)(((^y.y)(^z.z))(b a)))) 12. ==[ alpha ]==> ((b a)((b a)(((^x.x)(^y.y))(b a)))) 13. ==[ beta ]==> ((b a)((b a)((^y.y)(b a)))) 14. ==[ alpha ]==> ((b a)((b a)((^x.x)(b a)))) 15. ==[ beta ]==> ((b a)((b a)(b a))) REDUCED to normal form. ------ 137045/14244288. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137046/14244570. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 137047/14245677. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((a a)(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.((a a)(a a)))) 6. ==[ alpha ]==> ((^x.a)(^y.((a a)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 137048/14245746. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.(^x1.x1))) c)) 3. ==[ beta ]==> (^y.(((a (^z.(^x1.x1))) c)((a (^z.(^x1.x1))) c))) 4. ==[ alpha ]==> (^x.(((a (^y.(^z.z))) c)((a (^x1.(^y1.y1))) c))) REDUCED to normal form. ------ 137049/14247027. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 137050/14247954. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 137051/14248221. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)(b a))) 3. ==[ beta ]==> (((a a)(b a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 137052/14248512. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(z a))) REDUCED to normal form. ------ 137053/14248824. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137054/14249781. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 137055/14250807. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 137056/14251608. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 137057/14251887. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 137058/14252112. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(y (y y)))) 5. ==[ beta ]==> ((b a)(^y.(y (y y)))) 6. ==[ alpha ]==> ((b a)(^x.(x (x x)))) REDUCED to normal form. ------ 137059/14252193. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(a b))(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y) a))) 5. ==[ beta ]==> (((a a)(a b))(^x.a)) REDUCED to normal form. ------ 137060/14252379. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(a ((^x1.x1) a))) 3. ==[ eta ]==> ((^y.(^z.z))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137061/14252382. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((a ((^x.(^y.y)) a))(^x1.x1)) 4. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.z)) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 137062/14252553. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (b (^x1.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 137063/14252661. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137064/14252736. ------ 1. ==[ start ]==> (((^a.a) a)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (a ((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 137065/14252763. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 137066/14252817. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 137067/14252844. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 137068/14252871. ------ 1. ==[ start ]==> (((a a) b)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 137069/14252925. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 137070/14252952. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 137071/14253015. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (b (^y.y)))) REDUCED to normal form. ------ 137072/14253042. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a a)(a ((^y.(^z.z)) a))) 4. ==[ alpha ]==> ((a a)(a ((^x.(^y.y)) a))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 137073/14253231. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(a b))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(a b))) 5. ==[ beta ]==> (((a a) a)((a a)(a b))) REDUCED to normal form. ------ 137074/14253258. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a b)(a a))) REDUCED to normal form. ------ 137075/14253285. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 137076/14253312. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))(b a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(b a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(b a))) 5. ==[ beta ]==> ((a (a (a a)))(b a)) REDUCED to normal form. ------ 137077/14253384. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (^y.(a a)))) 3. ==[ beta ]==> ((a b)(c (^y.(a a)))) 4. ==[ alpha ]==> ((a b)(c (^x.(a a)))) REDUCED to normal form. ------ 137078/14253456. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((b (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 137079/14253510. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) b)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) b)(^y.a))) 5. ==[ beta ]==> (((a a)(a a))(b (^y.a))) 6. ==[ alpha ]==> (((a a)(a a))(b (^x.a))) REDUCED to normal form. ------ 137080/14253519. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.z) a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) a)) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 137081/14253537. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) REDUCED to normal form. ------ 137082/14253627. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(a b))) 3. ==[ beta ]==> ((b b)((^y.(a a))(a b))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(a b))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 137083/14253672. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137084/14253753. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 7. ==[ beta ]==> (((^y.y) a)(^z.z)) 8. ==[ alpha ]==> (((^x.x) a)(^y.y)) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 137085/14253762. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)((^y.y) b))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 137086/14253789. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> (a ((^y.(^z.z))((a a)(a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a)(a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 137087/14253816. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 137088/14253834. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((b (^z.z)) a)) 3. ==[ beta ]==> ((^y.y)((b (^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 5. ==[ beta ]==> ((b (^y.y)) a) 6. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 137089/14253870. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 137090/14253888. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) b) c)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) b) c)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b) c)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b c)) REDUCED to normal form. ------ 137091/14253897. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 137092/14253924. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137093/14254266. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y) c)) 3. ==[ beta ]==> (((a a) a)((^y.y) c)) 4. ==[ alpha ]==> (((a a) a)((^x.x) c)) 5. ==[ beta ]==> (((a a) a) c) REDUCED to normal form. ------ 137094/14254446. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a)((a a) a))((a a)(^y.y))) 6. ==[ alpha ]==> (((a a)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 137095/14254473. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (a a))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (a a))(b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(b a))) REDUCED to normal form. ------ 137096/14254500. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a (a a)))(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a (a (a a)))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 137097/14254527. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> (((a (a a)) a)((a (^x.x)) b)) REDUCED to normal form. ------ 137098/14254554. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)((a a)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((a a)(a a)))) REDUCED to normal form. ------ 137099/14254599. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a))(a a))) 3. ==[ beta ]==> (b ((^y.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 137100/14254617. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 137101/14254698. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 137102/14254761. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)(a b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)(a b))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 137103/14254779. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> (b (((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 137104/14254788. ------ 1. ==[ start ]==> (((a b) a)((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 137105/14254806. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 137106/14254815. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 137107/14254869. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 137108/14254887. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 137109/14254896. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 137110/14254923. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)((a a)(a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.y)((a a)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 137111/14254968. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) b) b)) 3. ==[ beta ]==> (b (((^y.y) b) b)) 4. ==[ alpha ]==> (b (((^x.x) b) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 137112/14254977. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 137113/14254995. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(^z.z))) c)) REDUCED to normal form. ------ 137114/14255166. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 137115/14255292. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a)) a)) 5. ==[ beta ]==> ((^y.y)((^y1.(a a)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 7. ==[ beta ]==> ((^y.(a a)) a) 8. ==[ alpha ]==> ((^x.(a a)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 137116/14255571. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 137117/14255598. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 137118/14255814. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(a b))) 3. ==[ beta ]==> (b ((^y.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 137119/14255913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 137120/14256057. ------ 1. ==[ start ]==> (((a b) c)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 137121/14256084. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 137122/14256111. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 137123/14256165. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 137124/14256192. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.b))(^z.z)) 8. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 137125/14256246. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.(^z2.z2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.(^z2.z2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137126/14256273. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 137127/14256291. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z) a)) 3. ==[ beta ]==> (b ((^z.z) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 137128/14256390. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 137129/14256417. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a b)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(^y.y))) REDUCED to normal form. ------ 137130/14256444. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((a (a b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 137131/14256471. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.y)(a b))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(a b))) 5. ==[ beta ]==> (((a (a a))((a a) a))(a b)) REDUCED to normal form. ------ 137132/14256498. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.y)((a (a a))((^z.z)(a a)))) 8. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 9. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 10. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 11. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 137133/14256525. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 137134/14256552. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))(b a))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))(b a))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))(b a))) REDUCED to normal form. ------ 137135/14256579. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 137136/14256723. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 137137/14256804. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 137138/14256867. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 137139/14256912. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((b a)((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> ((b a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 137140/14256939. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 137141/14256975. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 137142/14257002. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 137143/14257056. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 137144/14257083. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 137145/14257110. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 137146/14257137. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 137147/14257200. ------ 1. ==[ start ]==> (((a a)(b a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(b a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 137148/14257227. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((b a)(a a))) REDUCED to normal form. ------ 137149/14257254. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 137150/14257281. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a b))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a b))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(a b))((a a) a)) REDUCED to normal form. ------ 137151/14257308. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a b)(a (a a)))) 5. ==[ beta ]==> (((a a) a)((a b)(a (a a)))) REDUCED to normal form. ------ 137152/14257335. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 137153/14257362. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)((a a) a))) 5. ==[ beta ]==> (((a b)(a (a a)))((a a) a)) REDUCED to normal form. ------ 137154/14257389. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (a a))(a b))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a))(a b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(a b))) 5. ==[ beta ]==> (((a a) a)((a (a a))(a b))) REDUCED to normal form. ------ 137155/14257416. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 137156/14257470. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)(b a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(b a))) REDUCED to normal form. ------ 137157/14257560. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> ((a a)(((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> ((a a)((a a)(^y.a))) 8. ==[ alpha ]==> ((a a)((a a)(^x.a))) REDUCED to normal form. ------ 137158/14257641. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 137159/14257758. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(b a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b a)) REDUCED to normal form. ------ 137160/14257776. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((b a) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((b a) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 137161/14257803. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 5. ==[ beta ]==> (((a a)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 137162/14257866. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) b) REDUCED to normal form. ------ 137163/14257893. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 137164/14257947. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 137165/14257974. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 137166/14258001. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 137167/14258073. ------ 1. ==[ start ]==> ((a (^b.b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 137168/14258091. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(a (^z.z)))) REDUCED to normal form. ------ 137169/14258118. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a b) a)) REDUCED to normal form. ------ 137170/14258145. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 137171/14258172. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(a a))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.y))) 9. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 10. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 137172/14258199. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a b))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (a a))((a a) a))) 5. ==[ beta ]==> ((a b)((a (a a))((a a) a))) REDUCED to normal form. ------ 137173/14258226. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (a b))) REDUCED to normal form. ------ 137174/14258253. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 137175/14258280. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 137176/14258352. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137177/14258397. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 137178/14258424. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2)))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(^x2.x2))(^y2.(^z2.z2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137179/14258559. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (b (((a a)(^z.z)) a)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 137180/14258676. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 137181/14258703. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((b a)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((b a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 137182/14258730. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 137183/14258757. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 137184/14258883. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.a) d)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a) d)) 3. ==[ beta ]==> (b ((^y.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 137185/14259000. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (^y1.(a a)))) REDUCED to normal form. ------ 137186/14259027. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 137187/14259702. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.b)(a a))) 3. ==[ beta ]==> ((b b)((^y.b)(a a))) 4. ==[ alpha ]==> ((b b)((^x.b)(a a))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 137188/14259747. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.a))) 7. ==[ beta ]==> (((a a)(a a))(^y.a)) 8. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 137189/14259774. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 137190/14259783. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a (a a))(a (a a)))) REDUCED to normal form. ------ 137191/14259810. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 137192/14259828. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((b a)(b a))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 137193/14259891. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) b) REDUCED to normal form. ------ 137194/14259909. ------ 1. ==[ start ]==> (((^a.b)(a b))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b)(a b))(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 137195/14259918. ------ 1. ==[ start ]==> (((a b)(^a.b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 137196/14259972. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.(y1 y1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) IRREDUCIBLE: cycle. ------ 137197/14260026. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 137198/14260053. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.b)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 137199/14260116. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a a)((a a)(a a)))(a (^y.y))) 6. ==[ alpha ]==> (((a a)((a a)(a a)))(a (^x.x))) REDUCED to normal form. ------ 137200/14260143. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) b)((a (a a)) a)) REDUCED to normal form. ------ 137201/14260170. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (a (a a)))) REDUCED to normal form. ------ 137202/14260197. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 137203/14260224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 137204/14260638. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(z z)) c)) 3. ==[ beta ]==> (b ((^z.(z z)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 137205/14260746. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137206/14260782. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((b c)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((b c)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((b c)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((b c)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 137207/14260809. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 137208/14260854. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 137209/14260881. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z)) a) 6. ==[ alpha ]==> (((^x.x)(^y.y)) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 137210/14260917. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 137211/14260944. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 137212/14261016. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 137213/14261133. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 137214/14261160. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(z z))(a a))) 3. ==[ beta ]==> ((b (^y.a))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(y y))(a a))) 5. ==[ beta ]==> ((b (^x.a))((a a)(a a))) REDUCED to normal form. ------ 137215/14261187. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 137216/14261304. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(c (a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) b))(c (a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(c (a (^y.y)))) 5. ==[ beta ]==> ((a b)(c (a (^y.y)))) 6. ==[ alpha ]==> ((a b)(c (a (^x.x)))) REDUCED to normal form. ------ 137217/14261331. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(b a)) REDUCED to normal form. ------ 137218/14261358. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(a (a (a a)))) 3. ==[ beta ]==> (((^y.y)(b a))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(b a))(a (a (a a)))) 5. ==[ beta ]==> ((b a)(a (a (a a)))) REDUCED to normal form. ------ 137219/14261385. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 137220/14261412. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 137221/14261439. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a b))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a b))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a a)(a b))((a a) a)) REDUCED to normal form. ------ 137222/14261520. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(b c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(b c)) REDUCED to normal form. ------ 137223/14261628. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(a ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 137224/14261718. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 7. ==[ beta ]==> ((a (^y.y))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 137225/14261799. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 137226/14261907. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137227/14270874. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(^y1.a))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137228/14271243. ------ 1. ==[ start ]==> ((^a.(a a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(z z)))) IRREDUCIBLE: cycle. ------ 137229/14271270. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 137230/14271351. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> (((^z.(a a))(^x1.(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.z)) 5. ==[ beta ]==> ((a a)(^z.z)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 137231/14271552. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> (((^x.x)(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 137232/14271711. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 137233/14272161. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137234/14272317. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 137235/14272926. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 137236/14273106. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))(a a))) 3. ==[ beta ]==> (((^y.(a a))(a a)) b) 4. ==[ alpha ]==> (((^x.(a a))(a a)) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 137237/14273424. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 137238/14273793. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1)(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(^y1.((y1 y1)(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.((y y)(y y)))) 7. ==[ beta ]==> (^y.((y y)(y y))) 8. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 137239/14274375. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^z.(z z))((a a)(^x1.x1)))((^z.(z z))((a a)(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> (((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1))))(^y1.y1)) 7. ==[ beta ]==> (((((a a)(^x.x))((a a)(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1))))(^y1.y1)) 8. ==[ alpha ]==> (((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z))((a a)(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 137240/14274792. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (b (^z.((^x1.x1) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 137241/14275107. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 137242/14275131. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ eta ]==> (b ((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 137243/14275680. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b (b a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 137244/14275701. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 137245/14276547. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(a a)) b) 4. ==[ beta ]==> ((^y.(^z.z)) b) 5. ==[ alpha ]==> ((^x.(^y.y)) b) 6. ==[ beta ]==> (^y.y) 7. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137246/14276571. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137247/14276886. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 137248/14277303. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 137249/14277753. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 137250/14277885. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.(y y))(^z.(^x1.x1)))((^y.(y y))(^z.(^x1.x1))))(((^y.(y y))(^z.(^x1.x1)))((^y.(y y))(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1))))(((^x2.(x2 x2))(^y2.(^z2.z2)))((^x3.(x3 x3))(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1))))(((^x2.(x2 x2))(^y2.(^z2.z2)))((^x3.(x3 x3))(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))(((^y2.(y2 y2))(^z2.(^x3.x3)))((^y3.(y3 y3))(^z3.(^x4.x4))))) 7. ==[ beta ]==> (((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2))))(((^y2.(y2 y2))(^z2.(^x3.x3)))((^y3.(y3 y3))(^z3.(^x4.x4))))) 8. ==[ alpha ]==> (((^x.x)((^y.(y y))(^z.(^x1.x1))))(((^y1.(y1 y1))(^z1.(^x2.x2)))((^y2.(y2 y2))(^z2.(^x3.x3))))) 9. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))(((^y1.(y1 y1))(^z1.(^x2.x2)))((^y2.(y2 y2))(^z2.(^x3.x3))))) 10. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.(x1 x1))(^y1.(^z1.z1)))((^x2.(x2 x2))(^y2.(^z2.z2))))) 11. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.(x1 x1))(^y1.(^z1.z1)))((^x2.(x2 x2))(^y2.(^z2.z2))))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.(y1 y1))(^z1.(^x2.x2)))((^y2.(y2 y2))(^z2.(^x3.x3))))) 13. ==[ beta ]==> ((^y.y)(((^y1.(y1 y1))(^z1.(^x2.x2)))((^y2.(y2 y2))(^z2.(^x3.x3))))) 14. ==[ alpha ]==> ((^x.x)(((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))) 15. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 16. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 17. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 18. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 19. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 20. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 21. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 22. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 23. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 24. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 25. ==[ beta ]==> (^y.y) 26. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137251/14278167. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137252/14278752. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(^z.b))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.b))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.b))) REDUCED to normal form. ------ 137253/14278914. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.((a a) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 137254/14278965. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 137255/14279517. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 137256/14279751. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 137257/14279859. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 137258/14279967. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 137259/14280048. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.((^z.z) a))) 5. ==[ beta ]==> ((b a)(^y.((^z.z) a))) 6. ==[ alpha ]==> ((b a)(^x.((^y.y) a))) 7. ==[ beta ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 137260/14280126. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.x1)(^y1.a))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137261/14280129. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 137262/14280300. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^d.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (b (^x1.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 137263/14280408. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137264/14280501. ------ 1. ==[ start ]==> ((a (a a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))(^y.(y y))) 4. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 137265/14280528. ------ 1. ==[ start ]==> ((a b)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 137266/14280609. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 137267/14280744. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 137268/14280807. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((^y.a)(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((^x.a)(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 137269/14280834. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b (^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((b (^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(a a))) 5. ==[ beta ]==> ((b (^y.y))(a a)) 6. ==[ alpha ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 137270/14280888. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (a (((^y.y) b)((^z.z) a))) 6. ==[ alpha ]==> (a (((^x.x) b)((^y.y) a))) 7. ==[ beta ]==> (a (b ((^y.y) a))) 8. ==[ alpha ]==> (a (b ((^x.x) a))) 9. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 137271/14280915. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 137272/14280969. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 137273/14281077. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(b a))(((^y.y)(^z.z))(b a))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(((^z.z)(^x1.x1))(b a))) 7. ==[ beta ]==> (((^y.y)(b a))(((^z.z)(^x1.x1))(b a))) 8. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z))(b a))) 9. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(b a))) 10. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(b a))) 11. ==[ beta ]==> ((b a)((^y.y)(b a))) 12. ==[ alpha ]==> ((b a)((^x.x)(b a))) 13. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 137274/14281104. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (a a))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 137275/14281158. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 7. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 137276/14281185. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)(b (^y.y)))) 3. ==[ beta ]==> ((a (a a))((a a)(b (^y.y)))) 4. ==[ alpha ]==> ((a (a a))((a a)(b (^x.x)))) REDUCED to normal form. ------ 137277/14281221. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b (^z.z))(^x1.x1))) REDUCED to normal form. ------ 137278/14281248. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 137279/14281275. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(b (^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.a))) REDUCED to normal form. ------ 137280/14281311. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 137281/14281383. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> ((b b)(((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a))(^y.b))) 5. ==[ beta ]==> ((b b)((a a)(^y.b))) 6. ==[ alpha ]==> ((b b)((a a)(^x.b))) REDUCED to normal form. ------ 137282/14281392. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(a b))) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 137283/14281419. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 137284/14281518. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a (a a)) b)(a (^y.y))) 4. ==[ alpha ]==> (((a (a a)) b)(a (^x.x))) REDUCED to normal form. ------ 137285/14281599. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b (^z.z)) a)) REDUCED to normal form. ------ 137286/14281626. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(a a)) b)) 3. ==[ beta ]==> ((a (^y.a))(((a a)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(a a)) b)) REDUCED to normal form. ------ 137287/14281653. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) b) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b c)) REDUCED to normal form. ------ 137288/14281770. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.b))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 137289/14281797. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 137290/14281941. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b ((a a)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b ((a a)(a a)))) 5. ==[ beta ]==> (a (b ((a a)(a a)))) REDUCED to normal form. ------ 137291/14282022. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(b (a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)(b (a (^x.x)))) REDUCED to normal form. ------ 137292/14282049. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 137293/14282103. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x))((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)(((a a)(^x.x))(^z.z))) 10. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 137294/14282184. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.b))(((a a) a)(a a))) REDUCED to normal form. ------ 137295/14282310. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 137296/14282355. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)(((a a)(a a))(^y.y))) 3. ==[ beta ]==> (b (((a a)(a a))(^y.y))) 4. ==[ alpha ]==> (b (((a a)(a a))(^x.x))) REDUCED to normal form. ------ 137297/14282364. ------ 1. ==[ start ]==> ((a (a b))((^c.(a a))(a a))) 2. ==[ alpha ]==> ((a (a b))((^x.(a a))(a a))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 137298/14282517. ------ 1. ==[ start ]==> ((((a a) a) b)((a b)(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)((a b)(^x.b))) REDUCED to normal form. ------ 137299/14282544. ------ 1. ==[ start ]==> (((a b) a)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 137300/14282571. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 137301/14282625. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 137302/14282652. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 137303/14282679. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.(a a)))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 137304/14282706. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(a a)) a)) REDUCED to normal form. ------ 137305/14282733. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) b) b)) 3. ==[ beta ]==> (((a b)(^x.x))(b b)) REDUCED to normal form. ------ 137306/14282769. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 137307/14282850. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 137308/14282877. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b)(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.b))) 6. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.b))) 7. ==[ beta ]==> (a ((^y.b)(^z.b))) 8. ==[ alpha ]==> (a ((^x.b)(^y.b))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 137309/14282931. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 137310/14282994. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(c (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(c (a (^y.(^z.z))))) 5. ==[ beta ]==> (c (a (^y.(^z.z)))) 6. ==[ alpha ]==> (c (a (^x.(^y.y)))) REDUCED to normal form. ------ 137311/14283048. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)(a ((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)(a ((a a)(a a)))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 137312/14283129. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((b a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((b a)((^x.x) a))) 5. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 137313/14283183. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((a a)((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.x)(^y.y)))) 9. ==[ beta ]==> ((a a)((a a)(^y.y))) 10. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 137314/14283210. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((a a) a))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 137315/14283264. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(a a)))) 11. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a a))) 12. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 13. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 14. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 15. ==[ beta ]==> ((^y.y)(a a)) 16. ==[ alpha ]==> ((^x.x)(a a)) 17. ==[ beta ]==> (a a) REDUCED to normal form. ------ 137316/14283345. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 137317/14283417. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 137318/14283444. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 137319/14283525. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 137320/14283552. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.b)((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.b)((a a) a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b)((a a) a))) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 137321/14283570. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a)(^y.b))) 3. ==[ beta ]==> (b (((a a) a)(^y.b))) 4. ==[ alpha ]==> (b (((a a) a)(^x.b))) REDUCED to normal form. ------ 137322/14283579. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)(a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(a b))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 137323/14283606. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 137324/14283633. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 137325/14283813. ------ 1. ==[ start ]==> (((a b) c)(((a a)(^a.a)) d)) 2. ==[ alpha ]==> (((a b) c)(((a a)(^x.x)) d)) REDUCED to normal form. ------ 137326/14284047. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a ((^z.z) b))) 3. ==[ beta ]==> (b (a ((^z.z) b))) 4. ==[ alpha ]==> (b (a ((^x.x) b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 137327/14284056. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.b) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y) a)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 137328/14284083. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 137329/14284308. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (^d.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c (^y.a))) 3. ==[ beta ]==> (((a b) a)(c (^y.a))) 4. ==[ alpha ]==> (((a b) a)(c (^x.a))) REDUCED to normal form. ------ 137330/14284335. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 137331/14284362. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(a (^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 137332/14284389. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 137333/14284731. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a)(^z.z)) c)) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a)(^z.z)) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 137334/14284938. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (b a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (b a))) REDUCED to normal form. ------ 137335/14284956. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(b a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 137336/14285235. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(b a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(b a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(b a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137337/14285541. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((b a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((b a) a)) REDUCED to normal form. ------ 137338/14285802. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a (b a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137339/14285829. ------ 1. ==[ start ]==> ((a (^b.b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 137340/14286009. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c (^z.(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(c (^z.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(c (^y.(a a)))) REDUCED to normal form. ------ 137341/14286036. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 137342/14286108. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137343/14286117. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 137344/14286144. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 137345/14286558. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 137346/14286594. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a))((^z.(a a)) b)) 6. ==[ alpha ]==> ((^x.(a a))((^y.(a a)) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 137347/14286621. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.b) c)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 137348/14286639. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (b (((a a) a)((^y.y) a))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x) a))) 5. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 137349/14286648. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.a) d)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) d)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 137350/14286747. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a (^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137351/14286819. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a) b)((^y.(a a))(a a))) 4. ==[ alpha ]==> (((a a) b)((^x.(a a))(a a))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 137352/14286846. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) b) REDUCED to normal form. ------ 137353/14286873. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (b a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((a (b a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 137354/14286900. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 137355/14286927. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 10. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 11. ==[ beta ]==> ((a a)((^y.y)((^z.z)(^x1.x1)))) 12. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(^z.z)))) 13. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 14. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 15. ==[ beta ]==> ((a a)(^y.y)) 16. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 137356/14286954. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 137357/14286981. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 137358/14287008. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a a))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 9. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 137359/14287035. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 137360/14287116. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 137361/14287143. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 6. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 137362/14287179. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(c ((a a) a))) 3. ==[ beta ]==> ((^y.y)(c ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(c ((a a) a))) 5. ==[ beta ]==> (c ((a a) a)) REDUCED to normal form. ------ 137363/14287314. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 137364/14287422. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137365/14287458. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a b)(^y.y))) 3. ==[ beta ]==> ((b b)((a b)(^y.y))) 4. ==[ alpha ]==> ((b b)((a b)(^x.x))) REDUCED to normal form. ------ 137366/14287485. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 137367/14287539. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 137368/14287566. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 137369/14287647. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a b) a)) REDUCED to normal form. ------ 137370/14287674. ------ 1. ==[ start ]==> (((a b)(^a.b))(((a a) a) b)) 2. ==[ alpha ]==> (((a b)(^x.b))(((a a) a) b)) REDUCED to normal form. ------ 137371/14287836. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.b) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.b) a)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) b) REDUCED to normal form. ------ 137372/14287953. ------ 1. ==[ start ]==> (((a (a a))(b a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 137373/14287980. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(b (^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 137374/14288007. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a (^y.b))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (^y.b))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.b))) REDUCED to normal form. ------ 137375/14288034. ------ 1. ==[ start ]==> (((a b)(a b))((^c.a)(a a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.a)(a a))) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 137376/14288061. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 137377/14288088. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(((^x1.x1) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a ((^x1.x1) a))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((^z.z) a))) 9. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 137378/14288142. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 137379/14288169. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)((a a) a))) 5. ==[ beta ]==> ((b (a (^x.x)))((a a) a)) REDUCED to normal form. ------ 137380/14288223. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 137381/14288313. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b ((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))(b ((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137382/14288394. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 137383/14288538. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((b c)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((b c)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 137384/14288565. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(a (^y.a))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(a (^x.a))) REDUCED to normal form. ------ 137385/14288673. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a)) b)) 3. ==[ beta ]==> ((a (^y.y))((a (a a)) b)) 4. ==[ alpha ]==> ((a (^x.x))((a (a a)) b)) REDUCED to normal form. ------ 137386/14288772. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 137387/14288781. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 137388/14288808. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(z z)) b)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(z z)) b)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y)) b)) 5. ==[ beta ]==> (((a a)(^x.b))(b b)) REDUCED to normal form. ------ 137389/14288880. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137390/14288916. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (a a))(^z.z))) 3. ==[ beta ]==> ((b (^y.a))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((b (^x.a))((a (a a))(^y.y))) REDUCED to normal form. ------ 137391/14288943. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 137392/14289006. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a (a a))) REDUCED to normal form. ------ 137393/14289033. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 137394/14289060. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 137395/14289087. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 137396/14289114. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((b a)(^y.(y y))) 8. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 137397/14289168. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(c (^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(c (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 137398/14289195. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(b (^y.a))) 3. ==[ beta ]==> (((a a)(a b))(b (^y.a))) 4. ==[ alpha ]==> (((a a)(a b))(b (^x.a))) REDUCED to normal form. ------ 137399/14289222. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a (^y.(y y)))) REDUCED to normal form. ------ 137400/14289276. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 137401/14289303. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((b a)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((b a)((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((b a)((^y.y) a)) 8. ==[ alpha ]==> ((b a)((^x.x) a)) 9. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 137402/14289330. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x))) a) REDUCED to normal form. ------ 137403/14289384. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 137404/14289474. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(c a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(c a)) 3. ==[ beta ]==> (((^y.y)(^y.y))(c a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(c a)) 5. ==[ beta ]==> ((^y.y)(c a)) 6. ==[ alpha ]==> ((^x.x)(c a)) 7. ==[ beta ]==> (c a) REDUCED to normal form. ------ 137405/14289555. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 137406/14289663. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a b)) 3. ==[ beta ]==> ((^y.(^z.z))(a b)) 4. ==[ alpha ]==> ((^x.(^y.y))(a b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137407/14299242. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (^y.((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (^x.((^y.(y y))(^z.z))) 5. ==[ beta ]==> (^x.((^z.z)(^z.z))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137408/14299809. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137409/14299935. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137410/14300109. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 137411/14300496. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(b (^z.z)))) 5. ==[ beta ]==> (b (^y.(b (^z.z)))) 6. ==[ alpha ]==> (b (^x.(b (^y.y)))) REDUCED to normal form. ------ 137412/14300880. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> ((((a a)(a a))(^y.y)) b) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x)) b) REDUCED to normal form. ------ 137413/14301267. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.(^y1.y1)))((^z.z)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.y1)(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137414/14301567. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 7. ==[ beta ]==> (^y.(^z.(a a))) 8. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 137415/14302566. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 137416/14302575. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a b)(^x.a))(^y.b)) REDUCED to normal form. ------ 137417/14302905. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ eta ]==> (b ((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 137418/14303187. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((b a)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 137419/14304051. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(x1 a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z a))) REDUCED to normal form. ------ 137420/14304330. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(b x1))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 137421/14304660. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a b)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 137422/14304834. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 137423/14305077. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 137424/14305302. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((b (^y.y))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((b (^x.x))(^y.(a a))) REDUCED to normal form. ------ 137425/14306355. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.(a b))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(y b))) REDUCED to normal form. ------ 137426/14306688. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 137427/14306739. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 137428/14307156. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137429/14307291. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 137430/14307300. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 137431/14307525. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 137432/14307633. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^c.d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.d)) 3. ==[ beta ]==> (((^y.y)(b a))(^z.d)) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.d)) 5. ==[ beta ]==> ((b a)(^y.d)) 6. ==[ alpha ]==> ((b a)(^x.d)) REDUCED to normal form. ------ 137433/14307822. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.a))) 5. ==[ beta ]==> ((b a)(^y.(^z.a))) 6. ==[ alpha ]==> ((b a)(^x.(^y.a))) REDUCED to normal form. ------ 137434/14307993. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 137435/14308182. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137436/14308293. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 137437/14308320. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 137438/14308401. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137439/14308428. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 137440/14308482. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137441/14308509. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 137442/14308545. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(c ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(c ((a a)(a a)))) 5. ==[ beta ]==> (c ((a a)(a a))) REDUCED to normal form. ------ 137443/14308626. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((b (^y.y))(a a))) REDUCED to normal form. ------ 137444/14308653. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a a)(((a a)(a a))(a (^y.y)))) 4. ==[ alpha ]==> ((a a)(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 137445/14308680. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.a))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.a))(b ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.a))(b a)) REDUCED to normal form. ------ 137446/14308707. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (a a)))) REDUCED to normal form. ------ 137447/14308734. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((b a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 137448/14308842. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a a)(((a a) a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((a a)(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 137449/14308923. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> ((a b)(((^y.y) a)((^z.z) b))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)((^y.y) b))) 5. ==[ beta ]==> ((a b)(a ((^y.y) b))) 6. ==[ alpha ]==> ((a b)(a ((^x.x) b))) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 137450/14308950. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 137451/14308977. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(b (^y.y)))) REDUCED to normal form. ------ 137452/14309076. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 137453/14309094. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 137454/14309121. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 137455/14309175. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a))(^y.b))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(^y.b))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)(^x.b))) REDUCED to normal form. ------ 137456/14309202. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(a a)))) REDUCED to normal form. ------ 137457/14309211. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137458/14309292. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 9. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 137459/14309346. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137460/14309373. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b (^z.z)))) 5. ==[ beta ]==> ((^y.y)(b (^z.z))) 6. ==[ alpha ]==> ((^x.x)(b (^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 137461/14309670. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137462/14309724. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 137463/14309760. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(a (b (^z.z)))) 3. ==[ beta ]==> (((^y.y) b)(a (b (^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)(a (b (^y.y)))) 5. ==[ beta ]==> (b (a (b (^y.y)))) 6. ==[ alpha ]==> (b (a (b (^x.x)))) REDUCED to normal form. ------ 137464/14309787. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(a a))(a a))) REDUCED to normal form. ------ 137465/14309841. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) REDUCED to normal form. ------ 137466/14309868. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((b a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((b a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((b a)(a (a a)))) REDUCED to normal form. ------ 137467/14309895. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 137468/14309922. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137469/14309949. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(a b))) REDUCED to normal form. ------ 137470/14310147. ------ 1. ==[ start ]==> ((a (a b))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a b))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 137471/14310156. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(a a))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))(a a))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 137472/14310318. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b)(a b))) 3. ==[ beta ]==> (b ((^z.b)(a b))) 4. ==[ alpha ]==> (b ((^x.b)(a b))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 137473/14310345. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 137474/14310372. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137475/14310426. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 137476/14310507. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 137477/14310534. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 137478/14310552. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 137479/14310777. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 137480/14310831. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 7. ==[ beta ]==> ((^y.y)(^z.(a a))) 8. ==[ alpha ]==> ((^x.x)(^y.(a a))) 9. ==[ beta ]==> (^y.(a a)) 10. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 137481/14310921. ------ 1. ==[ start ]==> (((a b) b)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((b a)((^x.x) a))) 3. ==[ beta ]==> (((a b) b)((b a) a)) REDUCED to normal form. ------ 137482/14310948. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 137483/14310975. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 137484/14311002. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b)((a a) a))) REDUCED to normal form. ------ 137485/14311056. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 137486/14311083. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (a a))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (a a))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.(y y))((a (a a))((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.(x x))((a (a a))((a a)(^y.y)))) 7. ==[ beta ]==> (((a (a a))((a a)(^y.y)))((a (a a))((a a)(^y.y)))) 8. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 137487/14311110. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a (b a))) REDUCED to normal form. ------ 137488/14311128. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (c (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 137489/14311137. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 137490/14311164. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)((^z.z) b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y) b))) 5. ==[ beta ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 137491/14311200. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) b)(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(b (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(b (^x.x))) REDUCED to normal form. ------ 137492/14311227. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 137493/14311254. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((b a)(^y.a))) 3. ==[ beta ]==> ((a ((a a) a))((b a)(^y.a))) 4. ==[ alpha ]==> ((a ((a a) a))((b a)(^x.a))) REDUCED to normal form. ------ 137494/14311281. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 137495/14311308. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a (a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 137496/14311335. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a b)(^y.a))) 3. ==[ beta ]==> ((((a a) a) a)((a b)(^y.a))) 4. ==[ alpha ]==> ((((a a) a) a)((a b)(^x.a))) REDUCED to normal form. ------ 137497/14311362. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)(^y.b))) REDUCED to normal form. ------ 137498/14311389. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(a a))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 137499/14311452. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 5. ==[ beta ]==> ((^y.a)(b a)) 6. ==[ alpha ]==> ((^x.a)(b a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 137500/14311668. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 137501/14311785. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (b a))) 5. ==[ beta ]==> ((^y.(^z.z))(c (b a))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137502/14311812. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 137503/14311830. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 137504/14311839. ------ 1. ==[ start ]==> (((a b)(^b.a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.a))(a ((^y.y) b))) 3. ==[ beta ]==> (((a b)(^x.a))(a b)) REDUCED to normal form. ------ 137505/14311866. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 137506/14311893. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((b a)(a (^z.z)))) REDUCED to normal form. ------ 137507/14312172. ------ 1. ==[ start ]==> ((a (b a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (b a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 137508/14312262. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a))(a (a a)))) 5. ==[ beta ]==> (b ((^z.(a a))(a (a a)))) 6. ==[ alpha ]==> (b ((^x.(a a))(a (a a)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 137509/14312343. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 137510/14312451. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((b a)((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b a)((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((b a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 137511/14312478. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137512/14312532. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 137513/14312613. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 137514/14312766. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 137515/14312820. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 137516/14313000. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137517/14313099. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 137518/14313180. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 137519/14313288. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((a a)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137520/14313315. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(b a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 137521/14313396. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a))(^z.a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 137522/14313477. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 137523/14313540. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(c (a a))) REDUCED to normal form. ------ 137524/14313594. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a (b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (b a))) REDUCED to normal form. ------ 137525/14313657. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 137526/14313900. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 137527/14313927. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a b)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a b)(^y.a))) 3. ==[ beta ]==> ((a b)((a b)(^y.a))) 4. ==[ alpha ]==> ((a b)((a b)(^x.a))) REDUCED to normal form. ------ 137528/14313936. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 137529/14314098. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 137530/14314260. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.a))) 5. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 7. ==[ beta ]==> (b ((^y.a)(^y.a))) 8. ==[ alpha ]==> (b ((^x.a)(^y.a))) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 137531/14314287. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.a)(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 137532/14314377. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a))(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 137533/14314404. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a b)(a (^y.y)))) REDUCED to normal form. ------ 137534/14314431. ------ 1. ==[ start ]==> (((a b)(^c.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.a))(((a a) a) a)) REDUCED to normal form. ------ 137535/14314458. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 137536/14314485. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 137537/14314539. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1))(a b))) REDUCED to normal form. ------ 137538/14314566. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((b (^y.y))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((b (^x.x))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((b (^x.x))((a a)(a a))) REDUCED to normal form. ------ 137539/14314602. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (((a a) b)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) b)((a a)(^x.x))) REDUCED to normal form. ------ 137540/14314629. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a b)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 137541/14314656. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((a (b a))(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((a (b a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 137542/14314683. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.(z z))) 6. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.(y y))) REDUCED to normal form. ------ 137543/14314710. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((a (a a))(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 137544/14314737. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a b))(a (^y.a))) 4. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.a))) REDUCED to normal form. ------ 137545/14314764. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 137546/14314791. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 137547/14314818. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((a a) a)) REDUCED to normal form. ------ 137548/14314962. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 137549/14315205. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(b (^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137550/14315313. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137551/14315367. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 137552/14315448. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.b)(^z.z))) 3. ==[ beta ]==> (b ((^y.b)(^z.z))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 137553/14315556. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137554/14315565. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(c (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c (^x1.x1))) REDUCED to normal form. ------ 137555/14315592. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b ((a a) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b ((a a) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b ((a a) a))) REDUCED to normal form. ------ 137556/14315619. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(a (a b))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (a b))) REDUCED to normal form. ------ 137557/14315682. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 137558/14315817. ------ 1. ==[ start ]==> (((a b)(a b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))(((a a) a)(^x.x))) REDUCED to normal form. ------ 137559/14315844. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.z))) 8. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 137560/14315871. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(^z.a))) REDUCED to normal form. ------ 137561/14315925. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 137562/14315952. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> ((b (a (^y.y)))((a a)(^z.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 137563/14315979. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((a a) a) a)) REDUCED to normal form. ------ 137564/14316006. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a (b (^x.x)))((^z.z) b)) 4. ==[ alpha ]==> ((a (b (^x.x)))((^y.y) b)) 5. ==[ beta ]==> ((a (b (^x.x))) b) REDUCED to normal form. ------ 137565/14316096. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(^z2.(^x3.x3)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))(^z2.(^x3.x3)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137566/14316393. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 137567/14316420. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137568/14316474. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^z1.(^x2.x2))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 137569/14316555. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 137570/14316564. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 137571/14316591. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (a a))(a a))) 3. ==[ beta ]==> (((a a)(^y.b))((a (a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(a a))) REDUCED to normal form. ------ 137572/14316663. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137573/14316672. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a)(a (a a)))) REDUCED to normal form. ------ 137574/14316789. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 137575/14316816. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (a a)) a)) REDUCED to normal form. ------ 137576/14316843. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(((^z.z) a) b)) 3. ==[ beta ]==> ((a ((^y.y) b))(((^z.z) a) b)) 4. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a) b)) 5. ==[ beta ]==> ((a b)(((^y.y) a) b)) 6. ==[ alpha ]==> ((a b)(((^x.x) a) b)) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 137577/14316924. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 137578/14316951. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.a) b)) 3. ==[ beta ]==> (((a b)(a a))((^y.a) b)) 4. ==[ alpha ]==> (((a b)(a a))((^x.a) b)) 5. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 137579/14316978. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 137580/14317059. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 137581/14317086. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a a)(^z.a))) 3. ==[ beta ]==> ((b ((^y.y) a))((a a)(^z.a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a a)(^y.a))) 5. ==[ beta ]==> ((b a)((a a)(^y.a))) 6. ==[ alpha ]==> ((b a)((a a)(^x.a))) REDUCED to normal form. ------ 137582/14317113. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(((^y.y) a) a)) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 137583/14317257. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (^z.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (^z.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.a))) 5. ==[ beta ]==> ((^y.y)(a (^z.a))) 6. ==[ alpha ]==> ((^x.x)(a (^y.a))) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 137584/14317338. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 137585/14317446. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137586/14327115. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (b (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (b (^z.z)))) 3. ==[ eta ]==> ((^y.y)(b (b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b (b (^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 137587/14327385. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^y.y)))((((a a) a)((a a)(^y.y)))(((a a) a)((a a)(^y.y))))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((((a a) a)((a a)(^y.y)))(((a a) a)((a a)(^z.z))))) REDUCED to normal form. ------ 137588/14327610. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137589/14327919. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 137590/14329026. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 137591/14329068. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) b) b)) 3. ==[ beta ]==> (^y.((((^z.z) b) b)(((^z.z) b) b))) 4. ==[ alpha ]==> (^x.((((^y.y) b) b)(((^z.z) b) b))) 5. ==[ beta ]==> (^x.((b b)(((^z.z) b) b))) 6. ==[ alpha ]==> (^x.((b b)(((^y.y) b) b))) 7. ==[ beta ]==> (^x.((b b)(b b))) REDUCED to normal form. ------ 137592/14330376. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 137593/14330988. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((b a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 137594/14331303. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 137595/14331543. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x1.x1))((a a)(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 137596/14331861. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(x1 a))) REDUCED to normal form. ------ 137597/14332635. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 137598/14333778. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.(y y)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 137599/14333967. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(a y))) 3. ==[ eta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 137600/14334156. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 137601/14335101. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 137602/14335236. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 137603/14335461. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(y (y y)))) REDUCED to normal form. ------ 137604/14335701. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(b (a (^x1.x1)))) 3. ==[ eta ]==> ((^y.(^z.z))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137605/14335794. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.c)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.c)) 5. ==[ beta ]==> ((^y.y)(^z.c)) 6. ==[ alpha ]==> ((^x.x)(^y.c)) 7. ==[ beta ]==> (^y.c) 8. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 137606/14335983. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137607/14336112. ------ 1. ==[ start ]==> (((a a) a)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)(^y.(y y))) 4. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 137608/14336139. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 137609/14336220. ------ 1. ==[ start ]==> (((a a) b)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.(a a)))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 137610/14336247. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 137611/14336301. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 137612/14336355. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 137613/14336391. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (b (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b (b (^y.y)))) 3. ==[ beta ]==> ((a a)(b (b (^y.y)))) 4. ==[ alpha ]==> ((a a)(b (b (^x.x)))) REDUCED to normal form. ------ 137614/14336580. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))((a a) a))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 137615/14336607. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a b))) REDUCED to normal form. ------ 137616/14336634. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))((a b)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))((a b)((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a a))((a b)(a a))) REDUCED to normal form. ------ 137617/14336661. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 137618/14336859. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 137619/14336886. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 137620/14336976. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 137621/14337021. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137622/14337102. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 137623/14337111. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a)) b)((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a (a a)) b)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 137624/14337138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z) b))) 5. ==[ beta ]==> (a ((^y.a)((^z.z) b))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y) b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 137625/14337165. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 137626/14337192. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.z))) REDUCED to normal form. ------ 137627/14337237. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(a a)) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(a a)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(a a)) b)) REDUCED to normal form. ------ 137628/14337273. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 137629/14337642. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1) c)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 137630/14337795. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(((a a) a)(a a))) REDUCED to normal form. ------ 137631/14337822. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((a a)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 137632/14337849. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (a a))(b a))) 3. ==[ beta ]==> ((a (a (a a)))((a (a a))(b a))) REDUCED to normal form. ------ 137633/14337876. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a (a a)) a)(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> (((a (a a)) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 137634/14337903. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) b))) 7. ==[ beta ]==> ((a (^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 137635/14337930. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 137636/14337966. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((^y.b)(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> ((^x.b)(((a a)(a a))(^y.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 137637/14338047. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((b a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)(^z.(z z)))) IRREDUCIBLE: cycle. ------ 137638/14338110. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a))((a a) a))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 137639/14338128. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b)(^z.b))) 3. ==[ beta ]==> (b ((a b)(^z.b))) 4. ==[ alpha ]==> (b ((a b)(^x.b))) REDUCED to normal form. ------ 137640/14338137. ------ 1. ==[ start ]==> (((a b) a)((^a.b)(a b))) 2. ==[ alpha ]==> (((a b) a)((^x.b)(a b))) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 137641/14338155. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> ((a b)(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> ((a b)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 137642/14338164. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 137643/14338218. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(b a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((b a)(b a))) REDUCED to normal form. ------ 137644/14338236. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 137645/14338245. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 137646/14338272. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1) b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 137647/14338299. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 137648/14338317. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a)(a a)) a)) 3. ==[ beta ]==> (b (((a a)(a a)) a)) REDUCED to normal form. ------ 137649/14338326. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 137650/14338344. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) b) b)) 3. ==[ beta ]==> ((a (^x.(a a)))(b b)) REDUCED to normal form. ------ 137651/14338515. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 137652/14338722. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) c)) 3. ==[ beta ]==> (b ((^x1.(^y1.(^z1.z1))) c)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) c)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 137653/14338947. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 137654/14338974. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b (^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 137655/14339163. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.b)((a a) a))) 3. ==[ beta ]==> (b ((^y.b)((a a) a))) 4. ==[ alpha ]==> (b ((^x.b)((a a) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 137656/14339397. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((b a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((b a) c)) 3. ==[ beta ]==> (b ((b a) c)) REDUCED to normal form. ------ 137657/14339406. ------ 1. ==[ start ]==> (((a b) c)((^d.a)(^b.a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 137658/14339433. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 137659/14339460. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 137660/14339514. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 137661/14339541. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 137662/14339622. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 137663/14339649. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 137664/14339739. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 137665/14339766. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 137666/14339793. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a b))((a b)(^y.y))) 6. ==[ alpha ]==> ((a (a b))((a b)(^x.x))) REDUCED to normal form. ------ 137667/14339820. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 137668/14339847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(a b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a b))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a b))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 9. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 10. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 11. ==[ beta ]==> ((^y.y)(a b)) 12. ==[ alpha ]==> ((^x.x)(a b)) 13. ==[ beta ]==> (a b) REDUCED to normal form. ------ 137669/14339874. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a (a a))(a a))) REDUCED to normal form. ------ 137670/14339901. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a b) a)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> (((a b) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 137671/14339928. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (^z.z))(b a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.z))(b a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))(b a))) REDUCED to normal form. ------ 137672/14339955. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 137673/14340072. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (b (((^z.z)(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(y y)))) 7. ==[ beta ]==> (b ((a a)(^y.(y y)))) 8. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 137674/14340153. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (b ((^y.y)(^z.b))) 6. ==[ alpha ]==> (b ((^x.x)(^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 137675/14340216. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 137676/14340261. ------ 1. ==[ start ]==> (((^a.a)(b a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((b a)((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 137677/14340288. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 137678/14340342. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a)(^y.y)) c)) 3. ==[ beta ]==> (((a b)(a b))(((a a)(^y.y)) c)) 4. ==[ alpha ]==> (((a b)(a b))(((a a)(^x.x)) c)) REDUCED to normal form. ------ 137679/14340351. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 137680/14340405. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 137681/14340432. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 137682/14340459. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 137683/14340486. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.(a a))(^y1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 137684/14340549. ------ 1. ==[ start ]==> (((a a)(b a))(b (b a))) REDUCED to normal form. ------ 137685/14340576. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 137686/14340603. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((b a)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((b a)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((b a)(a a))) 5. ==[ beta ]==> ((a (a a))((b a)(a a))) REDUCED to normal form. ------ 137687/14340630. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 137688/14340657. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y) a))) 7. ==[ beta ]==> (((a a) a)((a a)((^y.y) a))) 8. ==[ alpha ]==> (((a a) a)((a a)((^x.x) a))) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 137689/14340684. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a b)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a b)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(a (a a)))) REDUCED to normal form. ------ 137690/14340711. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)(a (a a)))(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a b)(a (a a)))(((a a) a)(^x.x))) REDUCED to normal form. ------ 137691/14340738. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((a a) a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((a a) a))) 7. ==[ beta ]==> (((a a) a)((^y.y)((a a) a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)((a a) a))) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 137692/14340765. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 137693/14340819. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 137694/14340909. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 137695/14340990. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 137696/14341107. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 137697/14341134. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(b a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(b a)) REDUCED to normal form. ------ 137698/14341152. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((b a) a)) 3. ==[ beta ]==> ((^y.y)((b a) a)) 4. ==[ alpha ]==> ((^x.x)((b a) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 137699/14341215. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 137700/14341242. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.b)((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.b)((^y.b)(^z.(z z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 137701/14341296. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 137702/14341323. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.b))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.b)(^z.b))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.b))) 7. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 137703/14341350. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 137704/14341440. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 137705/14341467. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 137706/14341494. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)((^y.y) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a b) a)) REDUCED to normal form. ------ 137707/14341521. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 137708/14341548. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a b)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a b)(^y.y)) 12. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 137709/14341575. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (a a))((a a) a))) REDUCED to normal form. ------ 137710/14341602. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(a b))) 5. ==[ beta ]==> (((a b)(^x.x))(a (a b))) REDUCED to normal form. ------ 137711/14341629. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))((a (^x.x))(a a))) REDUCED to normal form. ------ 137712/14341656. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 137713/14341701. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137714/14341746. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 137715/14341773. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((a a) a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 137716/14341908. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 137717/14342025. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 137718/14342052. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 137719/14342079. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 137720/14342106. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 137721/14342232. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.b) c)) 3. ==[ beta ]==> (b ((^y.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 137722/14342376. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(b (^z.(a a)))) 3. ==[ beta ]==> ((b (^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> ((b (^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 137723/14342907. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^c.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a) c)) 3. ==[ beta ]==> (b ((^z.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 137724/14343051. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(a (^y.(a a)))) 3. ==[ beta ]==> ((b b)(a (^y.(a a)))) 4. ==[ alpha ]==> ((b b)(a (^x.(a a)))) REDUCED to normal form. ------ 137725/14343078. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.b)(a a))) 3. ==[ beta ]==> ((((a a)(a a)) a) b) REDUCED to normal form. ------ 137726/14343096. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 137727/14343123. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 137728/14343132. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 137729/14343159. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 137730/14343177. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((b a)(b a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((b a)(b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 137731/14343240. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a b)) REDUCED to normal form. ------ 137732/14343258. ------ 1. ==[ start ]==> (((^a.b)(a b))((a b) a)) 2. ==[ alpha ]==> (((^x.b)(a b))((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 137733/14343267. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.b)) b) REDUCED to normal form. ------ 137734/14343321. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 137735/14343375. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 137736/14343402. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 137737/14343429. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(^z.b))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.b)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.b)) REDUCED to normal form. ------ 137738/14343465. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 137739/14343492. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (((a (^x.x)) b)(a (^z.z))) 8. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 137740/14343519. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((a (a a)) a)) REDUCED to normal form. ------ 137741/14343546. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(b a))(a (a (a a)))) REDUCED to normal form. ------ 137742/14343573. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))((a (^y.y))(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 137743/14343600. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)((a a) a))) REDUCED to normal form. ------ 137744/14343987. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 137745/14344131. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((b c)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((b c)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 137746/14344158. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((((a a)(a a)) b)((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 137747/14344203. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 137748/14344230. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 137749/14344266. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 137750/14344284. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (a a)) b)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (a a)) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (a a)) b)) REDUCED to normal form. ------ 137751/14344293. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 137752/14344374. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 137753/14344482. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(b (^x1.(x1 x1)))) REDUCED to normal form. ------ 137754/14344509. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 137755/14344536. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 137756/14344707. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(b ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(b a))(b ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(b a))(b ((^y.y) a))) 5. ==[ beta ]==> ((b a)(b ((^y.y) a))) 6. ==[ alpha ]==> ((b a)(b ((^x.x) a))) 7. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 137757/14344734. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 137758/14344761. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a b)(a a))(((^y.y) a)(a a))) 4. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(a a))) 5. ==[ beta ]==> (((a b)(a a))(a (a a))) REDUCED to normal form. ------ 137759/14344788. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 137760/14344815. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a a)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))((a a) a)) REDUCED to normal form. ------ 137761/14344896. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(b c)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(b c)) 3. ==[ beta ]==> ((b ((^y.y) a))(b c)) 4. ==[ alpha ]==> ((b ((^x.x) a))(b c)) 5. ==[ beta ]==> ((b a)(b c)) REDUCED to normal form. ------ 137762/14344977. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(b (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 137763/14345067. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z) c)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) c)) 5. ==[ beta ]==> ((^y.y)((^z.z) c)) 6. ==[ alpha ]==> ((^x.x)((^y.y) c)) 7. ==[ beta ]==> ((^y.y) c) 8. ==[ alpha ]==> ((^x.x) c) 9. ==[ beta ]==> c REDUCED to normal form. ------ 137764/14345148. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> (b ((a (^x1.x1)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 137765/14345256. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137766/14349255. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.z))) 3. ==[ eta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 137767/14350695. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(b z))) 3. ==[ eta ]==> ((^x.(^y.y)) b) 4. ==[ beta ]==> (^y.y) 5. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137768/14354673. ------ 1. ==[ start ]==> ((^a.b)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 137769/14354982. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.(^x2.x2)) y1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^z1.(^x2.x2))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137770/14355114. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 137771/14355564. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(a a))(a b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137772/14356329. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b)(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))((a b)(a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 137773/14357103. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.(^z1.z1)))((^z.(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 7. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137774/14357778. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((^z.(^x1.x1))((^y1.y1)(a a)))((^z.(^x1.x1))((^y1.y1)(a a))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(a a))))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))((^z1.z1)(a a))))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((^x1.x1)(a a))))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(a a)))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.x1)) 9. ==[ beta ]==> ((^y.y)(^x1.x1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137775/14358534. ------ 1. ==[ start ]==> ((^a.(b a))(a (^b.b))) 2. ==[ alpha ]==> ((^x.(b x))(a (^y.y))) 3. ==[ eta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 137776/14358537. ------ 1. ==[ start ]==> ((a (b a))(^a.(^b.b))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 137777/14359131. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 137778/14359974. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (b a))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137779/14359977. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(b a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(b y))) 3. ==[ eta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 137780/14360289. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 137781/14360967. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 137782/14361183. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^y.(a a))) REDUCED to normal form. ------ 137783/14361288. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.(x1 x1)))((^y.(^z.z))(^x1.(x1 x1))))(((^y.(^z.z))(^x1.(x1 x1)))((^y.(^z.z))(^x1.(x1 x1))))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1))))(((^x2.(^y2.y2))(^z2.(z2 z2)))((^x3.(^y3.y3))(^z3.(z3 z3))))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1))))(((^x2.(^y2.y2))(^z2.(z2 z2)))((^x3.(^y3.y3))(^z3.(z3 z3))))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(x1 x1))))(((^y1.(^z1.z1))(^x2.(x2 x2)))((^y2.(^z2.z2))(^x3.(x3 x3))))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))(((^y1.(^z1.z1))(^x2.(x2 x2)))((^y2.(^z2.z2))(^x3.(x3 x3))))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.(^y1.y1))(^z1.(z1 z1)))((^x2.(^y2.y2))(^z2.(z2 z2))))) 9. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.(z1 z1)))((^x2.(^y2.y2))(^z2.(z2 z2))))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2))))) 11. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 13. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 15. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 16. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137784/14361795. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.b))) REDUCED to normal form. ------ 137785/14362182. ------ 1. ==[ start ]==> (((a b)(a b))(^a.(^a.b))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.b))) REDUCED to normal form. ------ 137786/14362344. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.((a a) a))) REDUCED to normal form. ------ 137787/14362368. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 137788/14363181. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(a (a a)))) REDUCED to normal form. ------ 137789/14363289. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 137790/14363478. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 137791/14363529. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137792/14363622. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 7. ==[ beta ]==> (^y.(a (^z.z))) 8. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 137793/14363703. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (b (^x1.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 137794/14363958. ------ 1. ==[ start ]==> ((a b)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((a b)(^y.(y y))) 4. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 137795/14364174. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 137796/14364201. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 137797/14364237. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (b (^z.z)))) 3. ==[ beta ]==> ((^y.a)(b (b (^z.z)))) 4. ==[ alpha ]==> ((^x.a)(b (b (^y.y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 137798/14364264. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((^y1.(^z1.z1)) a))) 3. ==[ beta ]==> ((^y.y)(a ((^y1.(^z1.z1)) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 137799/14364318. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(a a))(a (^y.y)))) 5. ==[ beta ]==> (a (((a a)(a a))(a (^y.y)))) 6. ==[ alpha ]==> (a (((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 137800/14364327. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a)) c)) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 137801/14364345. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 137802/14364399. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))((b a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))((b a)(^y.y))) REDUCED to normal form. ------ 137803/14364507. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.(y y))(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)((a a)(^y.y)))(((a a) a)((a a)(^y.y)))) 6. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 137804/14364534. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 137805/14364588. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1) b))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 7. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 8. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 9. ==[ beta ]==> (a ((^y.y) b)) 10. ==[ alpha ]==> (a ((^x.x) b)) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 137806/14364615. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))((a a)(a a)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 137807/14364642. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a a)(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 137808/14364678. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b (^z.z))(^x1.x1))) REDUCED to normal form. ------ 137809/14364705. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 137810/14364741. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y) a)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x) a)) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 137811/14364768. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 137812/14364813. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((b b)(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 137813/14364849. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a b))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 137814/14364948. ------ 1. ==[ start ]==> (((a (a a)) b)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 137815/14364975. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.z))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 137816/14365002. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 137817/14365056. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b (^z.z)) a)) 3. ==[ beta ]==> ((a (^y.a))((b (^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.a))((b (^y.y)) a)) REDUCED to normal form. ------ 137818/14365083. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(a a)) b)) REDUCED to normal form. ------ 137819/14365110. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) b) c)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b) c)) 5. ==[ beta ]==> ((^y.y)(((^z.z) b) c)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 7. ==[ beta ]==> (((^y.y) b) c) 8. ==[ alpha ]==> (((^x.x) b) c) 9. ==[ beta ]==> (b c) REDUCED to normal form. ------ 137820/14365146. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 137821/14365227. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 137822/14365254. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.(a a)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 137823/14365371. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c ((^z.z) b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c ((^z.z) b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c ((^z.z) b))) 5. ==[ beta ]==> (a (c ((^z.z) b))) 6. ==[ alpha ]==> (a (c ((^x.x) b))) 7. ==[ beta ]==> (a (c b)) REDUCED to normal form. ------ 137824/14365452. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((a a) a)(((a a)(a a))(a a))) REDUCED to normal form. ------ 137825/14365479. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) b)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 137826/14365488. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) c) REDUCED to normal form. ------ 137827/14365533. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((b a)(a (a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((b a)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((b a)(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((b a)(a (a a)))) 7. ==[ beta ]==> ((a a)((b a)(a (a a)))) REDUCED to normal form. ------ 137828/14365614. ------ 1. ==[ start ]==> ((a (^a.b))((a b)(a b))) 2. ==[ alpha ]==> ((a (^x.b))((a b)(a b))) REDUCED to normal form. ------ 137829/14365767. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.(a a)))) REDUCED to normal form. ------ 137830/14365947. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> ((((a a) a) b)((a a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.a))) REDUCED to normal form. ------ 137831/14365974. ------ 1. ==[ start ]==> (((a b) a)((a b)(^a.b))) 2. ==[ alpha ]==> (((a b) a)((a b)(^x.b))) REDUCED to normal form. ------ 137832/14366001. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 137833/14366082. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 137834/14366109. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 137835/14366163. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a)(a a)) a)) REDUCED to normal form. ------ 137836/14366199. ------ 1. ==[ start ]==> (((a a)(a b))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 137837/14366226. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 137838/14366307. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.a))) 7. ==[ beta ]==> (a ((^y.(a a))(^z.a))) 8. ==[ alpha ]==> (a ((^x.(a a))(^y.a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 137839/14366334. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 137840/14366361. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 137841/14366388. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 137842/14366478. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b ((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((^y1.y1) b))) 5. ==[ beta ]==> ((^y.y)(b ((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y) b))) 7. ==[ beta ]==> (b ((^y.y) b)) 8. ==[ alpha ]==> (b ((^x.x) b)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 137843/14366559. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (b ((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 137844/14366568. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.(^z.z))) c)) 3. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 137845/14366613. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(a (a a)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 137846/14366640. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 137847/14366694. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a) a)(a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a)(a b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(a b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(a b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(a b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(a b))) 9. ==[ beta ]==> ((^y.y)(((a a) a)(a b))) 10. ==[ alpha ]==> ((^x.x)(((a a) a)(a b))) 11. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 137848/14366775. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (b (((^z.z) a)(b a))) 4. ==[ alpha ]==> (b (((^x.x) a)(b a))) 5. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 137849/14366874. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 137850/14366901. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 137851/14366982. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 137852/14367000. ------ 1. ==[ start ]==> (((^a.b) c)((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)((a b)(^y.a))) 3. ==[ beta ]==> (b ((a b)(^y.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 137853/14367009. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 137854/14367063. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 137855/14367243. ------ 1. ==[ start ]==> (((a b) c)((b a) c)) REDUCED to normal form. ------ 137856/14367477. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 137857/14367513. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 137858/14367540. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 137859/14367792. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 137860/14367819. ------ 1. ==[ start ]==> ((a (b a))(a (^b.b))) 2. ==[ alpha ]==> ((a (b a))(a (^x.x))) REDUCED to normal form. ------ 137861/14368053. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 137862/14368161. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((b a) b)) 3. ==[ beta ]==> ((a (^y.(a a)))((b a) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))((b a) b)) REDUCED to normal form. ------ 137863/14368188. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 137864/14368413. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 137865/14368665. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137866/14369052. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a) c)) REDUCED to normal form. ------ 137867/14369232. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137868/14369259. ------ 1. ==[ start ]==> ((a (^b.b))(a (b a))) 2. ==[ alpha ]==> ((a (^x.x))(a (b a))) REDUCED to normal form. ------ 137869/14369493. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.(^z.z)))) REDUCED to normal form. ------ 137870/14369538. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137871/14369574. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 137872/14369988. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (a a))) REDUCED to normal form. ------ 137873/14370024. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z)) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 137874/14370051. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 137875/14370069. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a b)(a (^y.y)))) 3. ==[ beta ]==> (b ((a b)(a (^y.y)))) 4. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 137876/14370078. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.b) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b) c)) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 137877/14370105. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a) d)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a) d)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) d)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 137878/14370177. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1) a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137879/14370249. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 137880/14370276. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a a)) REDUCED to normal form. ------ 137881/14370303. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a (b a))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (b a))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 137882/14370357. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(a (a a)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (a a)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 137883/14370384. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a b))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((((a a) a)(a b))((^y.y)(^z.z))) 8. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(^y.y))) 9. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 10. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 137884/14370411. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)((a a) a))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 137885/14370438. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a b))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 137886/14370465. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 137887/14370519. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) b) REDUCED to normal form. ------ 137888/14370546. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((b (a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b (a a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 137889/14370573. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 137890/14370744. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (b (((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 137891/14370852. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137892/14370915. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a b)(^x.x))) REDUCED to normal form. ------ 137893/14370969. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 137894/14370996. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(^x1.(x1 x1)))) REDUCED to normal form. ------ 137895/14371077. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a)(^y.b))) REDUCED to normal form. ------ 137896/14371104. ------ 1. ==[ start ]==> (((a b)(^a.b))((a b) a)) 2. ==[ alpha ]==> (((a b)(^x.b))((a b) a)) REDUCED to normal form. ------ 137897/14371158. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1) c)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1) c)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) c) REDUCED to normal form. ------ 137898/14371437. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b (^y.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(b (^y.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.a))) REDUCED to normal form. ------ 137899/14371464. ------ 1. ==[ start ]==> (((a b)(a b))(a (^a.b))) 2. ==[ alpha ]==> (((a b)(a b))(a (^x.b))) REDUCED to normal form. ------ 137900/14371518. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 137901/14371572. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(a (a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 137902/14371599. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 137903/14371626. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)((a a) a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((a a) a)) REDUCED to normal form. ------ 137904/14371653. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 137905/14371824. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 137906/14371932. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137907/14371968. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b c)(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b c)(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> ((b c)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b c)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b c)(^y.y)) 8. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 137908/14371995. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 137909/14372040. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(c d)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(c d)) 3. ==[ beta ]==> ((b (^y.y))(c d)) 4. ==[ alpha ]==> ((b (^x.x))(c d)) REDUCED to normal form. ------ 137910/14372103. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 137911/14372130. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (a a)) b)) REDUCED to normal form. ------ 137912/14372202. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(b (a (a a)))) 3. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 137913/14372238. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 137914/14372310. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137915/14372373. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 137916/14372436. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 137917/14372463. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a (a a))) REDUCED to normal form. ------ 137918/14372490. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a b)((^y.(y y))(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.(x x))(^y.y))) 7. ==[ beta ]==> ((a b)((^y.y)(^y.y))) 8. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a b)(^y.y)) 10. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 137919/14372517. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 137920/14372544. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 137921/14372571. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.(z z))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(y y))) REDUCED to normal form. ------ 137922/14372625. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(c (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(c (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 137923/14372652. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(b (^y.a))) REDUCED to normal form. ------ 137924/14372706. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a))) a) REDUCED to normal form. ------ 137925/14372733. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 137926/14372760. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))((^z.z) a)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y) a)) 5. ==[ beta ]==> ((((a a)(a a))(a (^x.x))) a) REDUCED to normal form. ------ 137927/14372814. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 137928/14372904. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 137929/14372985. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(a c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 137930/14373093. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b a)) 3. ==[ beta ]==> ((^y.(^z.z))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137931/14373182. ------ 1. ==[ start ]==> (^a.((b (^a.a)) b)) 2. ==[ alpha ]==> (^x.((b (^y.y)) b)) REDUCED to normal form. ------ 137932/14373183. ------ 1. ==[ start ]==> (a ((b (^a.a)) b)) 2. ==[ alpha ]==> (a ((b (^x.x)) b)) REDUCED to normal form. ------ 137933/14382474. ------ 1. ==[ start ]==> ((^a.a)((b (^a.a)) b)) 2. ==[ alpha ]==> ((^x.x)((b (^y.y)) b)) 3. ==[ beta ]==> ((b (^y.y)) b) 4. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 137934/14382564. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137935/14382726. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137936/14382846. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 137937/14383224. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 137938/14383293. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 137939/14383419. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137940/14384007. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 137941/14384358. ------ 1. ==[ start ]==> (((^a.b) a)(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((a a)(a a)))) 3. ==[ beta ]==> (b (^y.((a a)(a a)))) 4. ==[ alpha ]==> (b (^x.((a a)(a a)))) REDUCED to normal form. ------ 137942/14384727. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((a a)(a a)))) 3. ==[ beta ]==> (b (^y.((a a)(a a)))) 4. ==[ alpha ]==> (b (^x.((a a)(a a)))) REDUCED to normal form. ------ 137943/14384751. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (^y.(((^z.(a a))(^x1.x1))((^z.(a a))(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((^y.(a a))(^z.z))((^x1.(a a))(^y1.y1)))) 5. ==[ beta ]==> (^x.((a a)((^x1.(a a))(^y1.y1)))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a))(^z.z)))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 137944/14385633. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((((^z.z)(^x1.x1))(^y1.(a a)))(((^z.z)(^x1.x1))(^y1.(a a))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a))))(^x2.x2)) 5. ==[ beta ]==> ((((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a))))(^x2.x2)) 6. ==[ alpha ]==> ((((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(a a))))(^z1.z1)) 7. ==[ beta ]==> (((^y.(a a))(((^z.z)(^x1.x1))(^y1.(a a))))(^z1.z1)) 8. ==[ alpha ]==> (((^x.(a a))(((^y.y)(^z.z))(^x1.(a a))))(^y1.y1)) 9. ==[ beta ]==> ((a a)(^y1.y1)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 137945/14386086. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1) b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 137946/14386698. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 137947/14386938. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 137948/14387562. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(z a))) 3. ==[ beta ]==> ((^y.y)(^z.(z a))) 4. ==[ alpha ]==> ((^x.x)(^y.(y a))) 5. ==[ beta ]==> (^y.(y a)) 6. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 137949/14388144. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 137950/14388597. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.((y y)(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 137951/14389461. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(a b))) 3. ==[ beta ]==> ((b b)(^y.(a b))) 4. ==[ alpha ]==> ((b b)(^x.(a b))) REDUCED to normal form. ------ 137952/14389668. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(a y))) 3. ==[ eta ]==> (((^x.b)(a b)) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 137953/14390223. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((a a) a) a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 137954/14390811. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 137955/14390919. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(a (a a)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(a (a a)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(a (a a)))) REDUCED to normal form. ------ 137956/14391384. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a (^x1.x1)) b)) 3. ==[ eta ]==> ((^y.(^z.z))((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137957/14391558. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (b (^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 137958/14391666. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137959/14391768. ------ 1. ==[ start ]==> ((a a)((b (^a.a)) b)) 2. ==[ alpha ]==> ((a a)((b (^x.x)) b)) REDUCED to normal form. ------ 137960/14391831. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 137961/14391858. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 137962/14391939. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(a a))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 137963/14391966. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 137964/14392020. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 137965/14392137. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 137966/14392164. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((b (^y.y))(a a))) 3. ==[ beta ]==> ((a a)((b (^y.y))(a a))) 4. ==[ alpha ]==> ((a a)((b (^x.x))(a a))) REDUCED to normal form. ------ 137967/14392191. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 137968/14392218. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b ((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 137969/14392245. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 137970/14392353. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)((a b)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)((a b)((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)((a b)(a a))) REDUCED to normal form. ------ 137971/14392434. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a b)((a (a a))(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a b)((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 137972/14392461. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)((^y.y) b))) 3. ==[ beta ]==> (((a (a a)) a)(a ((^y.y) b))) 4. ==[ alpha ]==> (((a (a a)) a)(a ((^x.x) b))) 5. ==[ beta ]==> (((a (a a)) a)(a b)) REDUCED to normal form. ------ 137973/14392488. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 137974/14392515. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(b (^z.z)))) REDUCED to normal form. ------ 137975/14392587. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 137976/14392605. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) b)(^y.a))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (^y.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.a))) REDUCED to normal form. ------ 137977/14392632. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 137978/14392659. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 137979/14392713. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 137980/14392722. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137981/14392749. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 137982/14392803. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(b a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 7. ==[ beta ]==> ((^y.(^z.z))(b a)) 8. ==[ alpha ]==> ((^x.(^y.y))(b a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137983/14392857. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1) b))) 5. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 7. ==[ beta ]==> ((^y.a)((^z.z) b)) 8. ==[ alpha ]==> ((^x.a)((^y.y) b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 137984/14392884. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137985/14393235. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (a ((^z.a)(^x1.x1))) 6. ==[ alpha ]==> (a ((^x.a)(^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 137986/14393271. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(b ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(b ((a a)(a a)))) 5. ==[ beta ]==> (b (b ((a a)(a a)))) REDUCED to normal form. ------ 137987/14393298. ------ 1. ==[ start ]==> ((((a a) a) a)(a (b (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(a (b (^x.x)))) REDUCED to normal form. ------ 137988/14393352. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b (a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (a (^x1.x1)))) REDUCED to normal form. ------ 137989/14393379. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 137990/14393406. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((b a)(a (a a)))) REDUCED to normal form. ------ 137991/14393433. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 137992/14393460. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 137993/14393649. ------ 1. ==[ start ]==> (((^a.b) a)((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((a a)((a a)(a a)))) 3. ==[ beta ]==> (b ((a a)((a a)(a a)))) REDUCED to normal form. ------ 137994/14393748. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) IRREDUCIBLE: cycle. ------ 137995/14393829. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (b ((^z.(a a))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((a a) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 137996/14393856. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(a b))) 3. ==[ beta ]==> ((a b)((^y.b)(a b))) 4. ==[ alpha ]==> ((a b)((^x.b)(a b))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 137997/14393937. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))(b a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(b a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((b a)(b a))) REDUCED to normal form. ------ 137998/14394018. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (b ((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 137999/14394045. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 138000/14394063. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) b) b)) 3. ==[ beta ]==> (((a a)(a b))(b b)) REDUCED to normal form. ------ 138001/14394261. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 138002/14394342. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138003/14394432. ------ 1. ==[ start ]==> (((a b) b)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 138004/14394459. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((b a)((^y.y) a))) 3. ==[ beta ]==> (((a a) a)((b a)((^y.y) a))) 4. ==[ alpha ]==> (((a a) a)((b a)((^x.x) a))) 5. ==[ beta ]==> (((a a) a)((b a) a)) REDUCED to normal form. ------ 138005/14394486. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 138006/14394513. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.z))) REDUCED to normal form. ------ 138007/14394567. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(a b))) REDUCED to normal form. ------ 138008/14394594. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(a a)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 9. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 10. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 11. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 12. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 13. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 14. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(a a)))) 15. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 16. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(a a)))) 17. ==[ beta ]==> ((a a)((^y.y)(a a))) 18. ==[ alpha ]==> ((a a)((^x.x)(a a))) 19. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 138009/14394621. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 138010/14394648. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 138011/14394675. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 138012/14394738. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a b))(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(b (^y.y))) REDUCED to normal form. ------ 138013/14394765. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 138014/14394792. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((b a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((b a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((b a)(^y.a))) REDUCED to normal form. ------ 138015/14394819. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 138016/14394846. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 138017/14394873. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(^y.a))) REDUCED to normal form. ------ 138018/14394900. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a) a)(^y.b))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.b))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.b))) REDUCED to normal form. ------ 138019/14394927. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(a a))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(a a))) REDUCED to normal form. ------ 138020/14394963. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.(y y))((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 7. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 138021/14395098. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 138022/14395179. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 138023/14395206. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 138024/14395260. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 138025/14395341. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138026/14395350. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 138027/14395377. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z) b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 138028/14395404. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 138029/14395773. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138030/14395854. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (b ((^z.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 138031/14395962. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 138032/14395989. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 138033/14396124. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 138034/14396232. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 138035/14396304. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1))) a)) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z))) a)) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 138036/14396511. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138037/14396691. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (b ((^x1.b)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.b)(a (a a)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 138038/14396799. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138039/14396826. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 138040/14396853. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)(b a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 138041/14396988. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 138042/14397105. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b ((a a)(^x1.x1)))) REDUCED to normal form. ------ 138043/14397168. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 138044/14397195. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(a a)) c)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a)) c)) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 138045/14397411. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 138046/14397438. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 138047/14397447. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 138048/14397474. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.b)((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)((^z1.b)((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 138049/14397609. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138050/14397717. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.b)(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.b)(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138051/14397771. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138052/14397852. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 138053/14397888. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a ((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.(a a))(a ((a a)(^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 138054/14397915. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a a)(a a))) REDUCED to normal form. ------ 138055/14397942. ------ 1. ==[ start ]==> (((a b)(^c.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a b)(a (^y.y)))) REDUCED to normal form. ------ 138056/14397969. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 138057/14397996. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a (a a))) REDUCED to normal form. ------ 138058/14398050. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a ((a a) a))) REDUCED to normal form. ------ 138059/14398077. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (^z.z))(a b))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 138060/14398140. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 138061/14398167. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 138062/14398194. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 138063/14398221. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(z z)))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.(z z)))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 11. ==[ beta ]==> ((a a)(^y.(y y))) 12. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 138064/14398248. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 138065/14398275. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a b)((a a) a))(a (^y.a))) 4. ==[ alpha ]==> (((a b)((a a) a))(a (^x.a))) REDUCED to normal form. ------ 138066/14398302. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 138067/14398329. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 138068/14398383. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a b) b)) REDUCED to normal form. ------ 138069/14398410. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((a a) a) c)) 3. ==[ beta ]==> ((b (a a))(((a a) a) c)) REDUCED to normal form. ------ 138070/14398473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138071/14398716. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(c (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138072/14398752. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a)(a b))) 3. ==[ beta ]==> ((b b)((a a)(a b))) REDUCED to normal form. ------ 138073/14398797. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.b)(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(a a))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 138074/14398824. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 138075/14398878. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((b a)(b a))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (((b a)(b a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 138076/14398959. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.y)(a b))) 3. ==[ beta ]==> (b ((^y.y)(a b))) 4. ==[ alpha ]==> (b ((^x.x)(a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 138077/14399067. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(y1 y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138078/14399103. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(c (^x1.x1))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 138079/14399130. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b ((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b ((a a) a))) REDUCED to normal form. ------ 138080/14399166. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.b) a)) 3. ==[ beta ]==> (((a a)((a a)(a a))) b) REDUCED to normal form. ------ 138081/14399193. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^c.a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a) b)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a) b)) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 138082/14399220. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 138083/14399355. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((a a) a)(^y.y))) 3. ==[ beta ]==> (((a a)((a a) a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a a)((a a) a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 138084/14399382. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 138085/14399436. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(z z)))) REDUCED to normal form. ------ 138086/14399463. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 138087/14399517. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((a (b (^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 138088/14399607. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.a)(^y2.(y2 y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.a)(^y2.(y2 y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138089/14399796. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138090/14399904. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 138091/14399931. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138092/14399985. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 138093/14400066. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138094/14400075. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(b (a (a a)))) REDUCED to normal form. ------ 138095/14400102. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.b))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 138096/14400183. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^x1.x1)) a)) REDUCED to normal form. ------ 138097/14400210. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a a)(a (a a)))) 3. ==[ beta ]==> ((b (^y.a))((a a)(a (a a)))) 4. ==[ alpha ]==> ((b (^x.a))((a a)(a (a a)))) REDUCED to normal form. ------ 138098/14400300. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 138099/14400327. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 138100/14400354. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (a a)) a)) 3. ==[ beta ]==> ((a ((^y.y) b))((a (a a)) a)) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (a a)) a)) 5. ==[ beta ]==> ((a b)((a (a a)) a)) REDUCED to normal form. ------ 138101/14400381. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a b)) REDUCED to normal form. ------ 138102/14400408. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (^z.z)) c)) 3. ==[ beta ]==> (((^y.y)(b a))((a (^z.z)) c)) 4. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y)) c)) 5. ==[ beta ]==> ((b a)((a (^y.y)) c)) 6. ==[ alpha ]==> ((b a)((a (^x.x)) c)) REDUCED to normal form. ------ 138103/14400462. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a b)(a a))((^y.(y y)) a)) 4. ==[ alpha ]==> (((a b)(a a))((^x.(x x)) a)) 5. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 138104/14400489. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.a) b)) 3. ==[ beta ]==> (((a a)(a b))((^y.a) b)) 4. ==[ alpha ]==> (((a a)(a b))((^x.a) b)) 5. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 138105/14400570. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a (^z.z))) REDUCED to normal form. ------ 138106/14400597. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 138107/14400624. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 138108/14400678. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a (^z.z)) b)) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 138109/14400768. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 138110/14400849. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 138111/14400957. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138112/14402949. ------ 1. ==[ start ]==> ((^a.(a b))(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((a a)(a a)))) 3. ==[ beta ]==> ((^y.((a a)(a a))) b) 4. ==[ alpha ]==> ((^x.((a a)(a a))) b) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 138113/14404974. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(a (^z.(^x1.x1))))) 3. ==[ eta ]==> (b (^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 138114/14410365. ------ 1. ==[ start ]==> ((^a.(^a.a))((b (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((b (^z.z)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138115/14410950. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)((^y.y)(a a)))(((a b)((^y.y)(a a)))((a b)((^y.y)(a a))))) 4. ==[ alpha ]==> (((a b)((^x.x)(a a)))(((a b)((^y.y)(a a)))((a b)((^z.z)(a a))))) 5. ==[ beta ]==> (((a b)(a a))(((a b)((^y.y)(a a)))((a b)((^z.z)(a a))))) 6. ==[ alpha ]==> (((a b)(a a))(((a b)((^x.x)(a a)))((a b)((^y.y)(a a))))) 7. ==[ beta ]==> (((a b)(a a))(((a b)(a a))((a b)((^y.y)(a a))))) 8. ==[ alpha ]==> (((a b)(a a))(((a b)(a a))((a b)((^x.x)(a a))))) 9. ==[ beta ]==> (((a b)(a a))(((a b)(a a))((a b)(a a)))) REDUCED to normal form. ------ 138116/14411175. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 138117/14411511. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 138118/14412246. ------ 1. ==[ start ]==> ((^a.(a b))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((a a)((a a)(a a))) b) REDUCED to normal form. ------ 138119/14412249. ------ 1. ==[ start ]==> ((a (a b))(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.((a a)(a a)))) REDUCED to normal form. ------ 138120/14412609. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 138121/14412618. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((a a)(a a)))) REDUCED to normal form. ------ 138122/14412633. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a)(a a)) a)) 3. ==[ beta ]==> (^y.((((a a)(a a)) a)(((a a)(a a)) a))) 4. ==[ alpha ]==> (^x.((((a a)(a a)) a)(((a a)(a a)) a))) REDUCED to normal form. ------ 138123/14413968. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 138124/14414271. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))((a a)(a (^y.(^z.z))))) 3. ==[ eta ]==> (b ((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (b ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 138125/14414274. ------ 1. ==[ start ]==> ((a (b a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 138126/14414895. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(y (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 138127/14415108. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((^x1.x1) a)((^y1.y1)(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.z))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 138128/14415444. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 138129/14415732. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.(b a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(b z))) 3. ==[ eta ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 138130/14416479. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 138131/14416704. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) b)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) b)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 138132/14417370. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 138133/14417550. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 138134/14417559. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.(a b))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(a y))) 3. ==[ eta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 138135/14417757. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(x b))) REDUCED to normal form. ------ 138136/14417919. ------ 1. ==[ start ]==> (((a b)(a b))(^c.((a a) a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.((a a) a))) REDUCED to normal form. ------ 138137/14418423. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.y))) 3. ==[ beta ]==> ((b c)(^y.(^z.y))) 4. ==[ alpha ]==> ((b c)(^x.(^y.x))) REDUCED to normal form. ------ 138138/14418558. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 138139/14418693. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 138140/14418828. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 138141/14419053. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(y (y y)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(y (y y)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(x (x x)))) REDUCED to normal form. ------ 138142/14419440. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 138143/14419548. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.z1)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.z1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138144/14419668. ------ 1. ==[ start ]==> ((a (^a.a))((b (^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.x))((b (^y.y)) b)) REDUCED to normal form. ------ 138145/14419731. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 138146/14419758. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 138147/14419812. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 138148/14419839. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 138149/14419866. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 138150/14419947. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138151/14420172. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((b a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((b a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((b a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((b a)(^x.x))) REDUCED to normal form. ------ 138152/14420199. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))((a a) a))) REDUCED to normal form. ------ 138153/14420226. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(a b))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(a b))) 5. ==[ beta ]==> ((a (a a))((a a)(a b))) REDUCED to normal form. ------ 138154/14420253. ------ 1. ==[ start ]==> ((a (a (a a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a b)((^x.x)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((a b)(a a))) REDUCED to normal form. ------ 138155/14420451. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((b (^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((b (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((b (^x.x))(^y.y))) REDUCED to normal form. ------ 138156/14420478. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 138157/14420613. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138158/14420640. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 138159/14420703. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 138160/14420730. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a ((^y.(y y))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (a ((^x.(x x))(a (^y.(^z.z))))) 7. ==[ beta ]==> (a ((a (^y.(^z.z)))(a (^y.(^z.z))))) 8. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 138161/14420748. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 7. ==[ beta ]==> (((^y.y) a)(^z.z)) 8. ==[ alpha ]==> (((^x.x) a)(^y.y)) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 138162/14420757. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 138163/14420784. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 138164/14420811. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(b (^z.z)))) 5. ==[ beta ]==> ((a (^x.a))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.a))(b (^y.y))) REDUCED to normal form. ------ 138165/14420829. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b (^z.z)) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b (^z.z)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b (^z.z)) a)) REDUCED to normal form. ------ 138166/14421162. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138167/14421387. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b)(a b))) REDUCED to normal form. ------ 138168/14421414. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(((a a) a)(a a))) REDUCED to normal form. ------ 138169/14421441. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> ((a (a (a a)))((a a)(^y.y))) 8. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 138170/14421468. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (a a))(b a))) 3. ==[ beta ]==> (((a (a a)) a)((a (a a))(b a))) REDUCED to normal form. ------ 138171/14421495. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (^x.x))(a (a (^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a (^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 138172/14421522. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 138173/14421540. ------ 1. ==[ start ]==> (((^a.b) a)(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(b (^y.(a a)))) 3. ==[ beta ]==> (b (b (^y.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 138174/14421549. ------ 1. ==[ start ]==> ((a (a b))((a a)((a a)(a a)))) REDUCED to normal form. ------ 138175/14421639. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1)))(^y1.a))) IRREDUCIBLE: cycle. ------ 138176/14421702. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 138177/14421720. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (b ((a a)(^y.a))) 6. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 138178/14421729. ------ 1. ==[ start ]==> (((a b) a)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b) a)((^x.(a a))((a a) a))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 138179/14421747. ------ 1. ==[ start ]==> (((^a.a)(a b))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))((a b)(^y.b))) 3. ==[ beta ]==> ((a b)((a b)(^y.b))) 4. ==[ alpha ]==> ((a b)((a b)(^x.b))) REDUCED to normal form. ------ 138180/14421756. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)(a b))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 138181/14421774. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 138182/14421810. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 138183/14421837. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((b a)(b a))) REDUCED to normal form. ------ 138184/14421864. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.a)((^z.a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 138185/14421891. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 138186/14421909. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)(^y.(a a)))) 3. ==[ beta ]==> (b ((a a)(^y.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 138187/14421918. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 138188/14421936. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(a a)) a)) REDUCED to normal form. ------ 138189/14422107. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.b)(^z.b))) 3. ==[ beta ]==> (b ((^y.b)(^z.b))) 4. ==[ alpha ]==> (b ((^x.b)(^y.b))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 138190/14422314. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (b ((^x1.x1) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 138191/14422602. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a a)(a a))((a a)((^y.y) b))) 4. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x) b))) 5. ==[ beta ]==> (((a a)(a a))((a a) b)) REDUCED to normal form. ------ 138192/14422755. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 138193/14422854. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 138194/14422989. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 138195/14422998. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b) c)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 138196/14423106. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 138197/14423133. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 138198/14423187. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138199/14423241. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 138200/14423268. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 138201/14423331. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 138202/14423358. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 138203/14423385. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> ((a (a b))((a a)(a (a a)))) REDUCED to normal form. ------ 138204/14423412. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a b)(^y.y))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((a b)(^x.x))) REDUCED to normal form. ------ 138205/14423439. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)((a a) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((a a) a))) 7. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 8. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 138206/14423466. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.y)(a b))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(a b))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(a b)) REDUCED to normal form. ------ 138207/14423493. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) a)((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b) a)((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (((a b) a)((a (a a))(a a))) REDUCED to normal form. ------ 138208/14423520. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 138209/14423547. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.y))(b a))) REDUCED to normal form. ------ 138210/14423574. ------ 1. ==[ start ]==> ((a (b a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 138211/14423664. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a)(^z.z))(^x1.a))) 5. ==[ beta ]==> (b (((a a)(^z.z))(^x1.a))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 138212/14423745. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (b (((a a) a)(^z.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 138213/14423808. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((((a a)(^x.x)) b)((a a)(a a))) REDUCED to normal form. ------ 138214/14423880. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 138215/14423916. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 138216/14423934. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((b a) b)) 3. ==[ beta ]==> (((a b)(a b))((b a) b)) REDUCED to normal form. ------ 138217/14423997. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 138218/14424024. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 138219/14424051. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 138220/14424078. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 138221/14424141. ------ 1. ==[ start ]==> (((a a)(b a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(c ((a a)(^x.x)))) REDUCED to normal form. ------ 138222/14424168. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (b a))) REDUCED to normal form. ------ 138223/14424195. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a (a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 138224/14424222. ------ 1. ==[ start ]==> (((a (a a))(a b))((b a)(a a))) REDUCED to normal form. ------ 138225/14424249. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 138226/14424276. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)((^y.y) a))) 7. ==[ beta ]==> ((((a a) a)(^x.x))((a a) a)) REDUCED to normal form. ------ 138227/14424303. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a b)(a (a a)))) REDUCED to normal form. ------ 138228/14424330. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(((a a) a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(((a a) a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) a)(((a a) a)(^y.y))) 8. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 138229/14424357. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 138230/14424411. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 138231/14424501. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((b a)(^z.z))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((b a)(^z.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((b a)(^z.z))) 5. ==[ beta ]==> ((a a)((b a)(^z.z))) 6. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 138232/14424582. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((a b)(^x.(x x)))) REDUCED to normal form. ------ 138233/14424690. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1) a)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138234/14424699. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 138235/14424726. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 138236/14424798. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a)(^z.z)) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a)(^z.z)) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a)(^y.y)) b)) 7. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y)) b)) 8. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 138237/14424807. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 138238/14424834. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.b)((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 138239/14424888. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 138240/14424915. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 138241/14424942. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 138242/14425032. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a (b a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (b a))) REDUCED to normal form. ------ 138243/14425059. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 138244/14425086. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 138245/14425113. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a a))((a b)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((a b)((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(a a))((a b) a)) REDUCED to normal form. ------ 138246/14425140. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((a b)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 138247/14425167. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 138248/14425194. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a b)(^y.y))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (a a))((a a) a))) REDUCED to normal form. ------ 138249/14425221. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y) a)(a b))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)(a b))) 5. ==[ beta ]==> (((a a)(a (a a)))(a (a b))) REDUCED to normal form. ------ 138250/14425248. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^y.y))(a a))) REDUCED to normal form. ------ 138251/14425338. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 138252/14425365. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a b)(^z1.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 138253/14425500. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 138254/14425608. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138255/14425617. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 138256/14425644. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 138257/14425671. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 138258/14425779. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 138259/14425824. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(a a)) b)) 3. ==[ beta ]==> (b ((^y.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 138260/14425968. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(c (^z.b))) 3. ==[ beta ]==> ((b (^y.y))(c (^z.b))) 4. ==[ alpha ]==> ((b (^x.x))(c (^y.b))) REDUCED to normal form. ------ 138261/14426004. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) b)((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) b)((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) b)((a a)(a a))) REDUCED to normal form. ------ 138262/14426499. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b) b)) 3. ==[ beta ]==> (b ((^z.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 138263/14426643. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) b)(b (^y.b))) 3. ==[ beta ]==> ((b b)(b (^y.b))) 4. ==[ alpha ]==> ((b b)(b (^x.b))) REDUCED to normal form. ------ 138264/14426670. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(a (^x.(a a)))) REDUCED to normal form. ------ 138265/14426688. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a b)(^y.y))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.x))) REDUCED to normal form. ------ 138266/14426715. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 138267/14426724. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 138268/14426751. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 138269/14426769. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((b a)(b a))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (((b a)(b a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 138270/14426832. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 138271/14426850. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a b))((a a)(^y.b))) 3. ==[ beta ]==> (b ((a a)(^y.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 138272/14426859. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(a b))) 3. ==[ beta ]==> (((a b)(^x.b))(a b)) REDUCED to normal form. ------ 138273/14426913. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 138274/14426967. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.(y1 y1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(x1 x1))(^y1.(y1 y1)))) IRREDUCIBLE: cycle. ------ 138275/14426994. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 138276/14427057. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(a (a b))) REDUCED to normal form. ------ 138277/14427084. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((a a) a)(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)(((a a) a)(a a))) REDUCED to normal form. ------ 138278/14427111. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.x1))) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 138279/14427138. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (a a))((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(b a))((a (a a)) a)) REDUCED to normal form. ------ 138280/14427165. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 138281/14427192. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 138282/14427219. ------ 1. ==[ start ]==> (((a b)(a b))((a a)((a a) a))) REDUCED to normal form. ------ 138283/14427579. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^c.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 138284/14427723. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(a (^y.a))) 3. ==[ beta ]==> ((b c)(a (^y.a))) 4. ==[ alpha ]==> ((b c)(a (^x.a))) REDUCED to normal form. ------ 138285/14427750. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 138286/14427795. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((b (^x.x))(a (^z.a))) 6. ==[ alpha ]==> ((b (^x.x))(a (^y.a))) REDUCED to normal form. ------ 138287/14427822. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 138288/14427858. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 138289/14427876. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^z1.z1) a)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1) a)) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 138290/14427885. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 138291/14427966. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 138292/14427993. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 138293/14428065. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.a) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138294/14428101. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(b (^z.(z z)))) 3. ==[ beta ]==> ((b (^y.a))(b (^z.(z z)))) 4. ==[ alpha ]==> ((b (^x.a))(b (^y.(y y)))) REDUCED to normal form. ------ 138295/14428128. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 138296/14428191. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(c c)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(c c)) REDUCED to normal form. ------ 138297/14428299. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(c (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(b a))(c (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(b a))(c (a (^y.y)))) 5. ==[ beta ]==> ((b a)(c (a (^y.y)))) 6. ==[ alpha ]==> ((b a)(c (a (^x.x)))) REDUCED to normal form. ------ 138298/14428326. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(b ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(b a)) REDUCED to normal form. ------ 138299/14428353. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(a (a (a a)))) 3. ==[ beta ]==> (((a b)(a a))(a (a (a a)))) REDUCED to normal form. ------ 138300/14428380. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a a)(a b))(((^y.y) a)(a a))) 4. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(a a))) 5. ==[ beta ]==> (((a a)(a b))(a (a a))) REDUCED to normal form. ------ 138301/14428407. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 138302/14428488. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(c b)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(c b)) 3. ==[ beta ]==> ((b ((^y.y) a))(c b)) 4. ==[ alpha ]==> ((b ((^x.x) a))(c b)) 5. ==[ beta ]==> ((b a)(c b)) REDUCED to normal form. ------ 138303/14428515. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(b c)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(b c)) REDUCED to normal form. ------ 138304/14428659. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 7. ==[ beta ]==> ((^y.(^z.z)) b) 8. ==[ alpha ]==> ((^x.(^y.y)) b) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138305/14428740. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 138306/14428848. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138307/14436708. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138308/14438319. ------ 1. ==[ start ]==> ((^a.b)((^c.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 138309/14438589. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(^x1.(a a)))) 3. ==[ eta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 138310/14438760. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 138311/14439420. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 138312/14439642. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((((^y.b)(^z.(a a)))((^y.b)(^z.(a a))))((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> ((((^x.b)(^y.(a a)))((^z.b)(^x1.(a a))))((^y1.b)(^z1.(a a)))) 5. ==[ beta ]==> ((b ((^z.b)(^x1.(a a))))((^y1.b)(^z1.(a a)))) 6. ==[ alpha ]==> ((b ((^x.b)(^y.(a a))))((^z.b)(^x1.(a a)))) 7. ==[ beta ]==> ((b b)((^z.b)(^x1.(a a)))) 8. ==[ alpha ]==> ((b b)((^x.b)(^y.(a a)))) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 138313/14439816. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(b (^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.(b (^z.z)))) 4. ==[ alpha ]==> (((a a) a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 138314/14439975. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 138315/14440155. ------ 1. ==[ start ]==> ((^a.(a b))(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(b (^y.(a a)))) 3. ==[ beta ]==> ((b (^y.(a a))) b) 4. ==[ alpha ]==> ((b (^x.(a a))) b) REDUCED to normal form. ------ 138316/14440167. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((^y.b)(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.b)(^y.((a a)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 138317/14440527. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 138318/14441238. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(y y)))) REDUCED to normal form. ------ 138319/14442180. ------ 1. ==[ start ]==> ((^a.(b a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))(b (^y.(^z.(^x1.x1))))) 3. ==[ eta ]==> (b (b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 138320/14442804. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 138321/14443620. ------ 1. ==[ start ]==> ((^a.(^b.b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138322/14443935. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 138323/14445468. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.b))) REDUCED to normal form. ------ 138324/14445666. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.x))) REDUCED to normal form. ------ 138325/14445855. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(^z.b))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.b))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.b))) REDUCED to normal form. ------ 138326/14446014. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138327/14446017. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 138328/14446188. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.((z z) z))) 3. ==[ beta ]==> (b (^z.((z z) z))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 138329/14446467. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 138330/14446854. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(a (a a)))) 5. ==[ beta ]==> ((a b)(^y.(a (a a)))) 6. ==[ alpha ]==> ((a b)(^x.(a (a a)))) REDUCED to normal form. ------ 138331/14446962. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 138332/14447070. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 138333/14447175. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.a)(^y1.y1))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138334/14447349. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^d.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> (b (^x1.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 138335/14447457. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138336/14447595. ------ 1. ==[ start ]==> (((^a.a) a)((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x) a)((b (^y.y)) b)) 3. ==[ beta ]==> (a ((b (^y.y)) b)) 4. ==[ alpha ]==> (a ((b (^x.x)) b)) REDUCED to normal form. ------ 138337/14447631. ------ 1. ==[ start ]==> ((a b)((^c.(a a))(^b.a))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 138338/14447685. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 138339/14447847. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 138340/14447874. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 138341/14447901. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 138342/14447910. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c ((a a)(a a)))) 3. ==[ beta ]==> ((^y.a)(c ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.a)(c ((a a)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 138343/14447937. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (b (^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 138344/14447991. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b (^z.z))(a a))) 3. ==[ beta ]==> (((^y.y) a)((b (^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((b (^y.y))(a a))) 5. ==[ beta ]==> (a ((b (^y.y))(a a))) 6. ==[ alpha ]==> (a ((b (^x.x))(a a))) REDUCED to normal form. ------ 138345/14448018. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 138346/14448072. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 138347/14448180. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.(y y))((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((a b)((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)((^y.y)(a a)))((a b)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a b)((^y.y)(a a)))) 7. ==[ beta ]==> (((a b)(a a))((a b)((^y.y)(a a)))) 8. ==[ alpha ]==> (((a b)(a a))((a b)((^x.x)(a a)))) 9. ==[ beta ]==> (((a b)(a a))((a b)(a a))) REDUCED to normal form. ------ 138348/14448207. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 138349/14448261. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)((a (a a))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 138350/14448288. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z) b))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y) b))) 5. ==[ beta ]==> ((a (a a))(a ((^y.y) b))) 6. ==[ alpha ]==> ((a (a a))(a ((^x.x) b))) 7. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 138351/14448315. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 138352/14448378. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 138353/14448441. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z) a)) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) a)) 7. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 138354/14448468. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 138355/14448486. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b b)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 138356/14448648. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a ((a (a a))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (a ((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 138357/14448675. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 138358/14448756. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b (^z.z)) a)) REDUCED to normal form. ------ 138359/14448783. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a)) b)) 5. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 7. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 138360/14448819. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 138361/14448846. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 138362/14448927. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.b))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 138363/14448954. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.(a a)))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 138364/14449125. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(a (b (^y.y)))) 3. ==[ beta ]==> (((a a) a)(a (b (^y.y)))) 4. ==[ alpha ]==> (((a a) a)(a (b (^x.x)))) REDUCED to normal form. ------ 138365/14449152. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 138366/14449161. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 138367/14449188. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z) c)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z) c)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) c)) 5. ==[ beta ]==> ((a (^x.(x x))) c) REDUCED to normal form. ------ 138368/14449206. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1)))((^y1.y1) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))((^x1.x1) a))) 7. ==[ beta ]==> ((a a)((a (^y.(^z.z)))((^x1.x1) a))) 8. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))((^z.z) a))) 9. ==[ beta ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 138369/14449287. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a (^x.b))((a a)((a a) a))) REDUCED to normal form. ------ 138370/14449467. ------ 1. ==[ start ]==> ((a (a b))(b (^c.(a a)))) 2. ==[ alpha ]==> ((a (a b))(b (^x.(a a)))) REDUCED to normal form. ------ 138371/14449476. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.b)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.b)((a a)((a a)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 138372/14449620. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 138373/14449647. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a b) a)((a a)(^y.a))) 4. ==[ alpha ]==> (((a b) a)((a a)(^x.a))) REDUCED to normal form. ------ 138374/14449674. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((a b)(^y.b))) REDUCED to normal form. ------ 138375/14449728. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 138376/14449782. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 138377/14449809. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 138378/14449836. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 138379/14449872. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 138380/14449899. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 138381/14449926. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.a))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 138382/14450007. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 138383/14450034. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.b)(^y.b))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 138384/14450151. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)(c (a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)(c (a (^y.(^z.z))))) 7. ==[ beta ]==> (c (a (^y.(^z.z)))) 8. ==[ alpha ]==> (c (a (^x.(^y.y)))) REDUCED to normal form. ------ 138385/14450232. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> (b (((^x1.x1) b)(a a))) 4. ==[ alpha ]==> (b (((^x.x) b)(a a))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 138386/14450241. ------ 1. ==[ start ]==> (((a b) b)((^b.b) b)) 2. ==[ alpha ]==> (((a b) b)((^x.x) b)) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 138387/14450286. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((b a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a a))((b a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((b a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((b a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)((b a)((^x.x) a))) 7. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 138388/14450313. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 138389/14450367. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a b)((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b)((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b)((a a) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((a a) a))) 9. ==[ beta ]==> ((^y.y)((a b)((a a) a))) 10. ==[ alpha ]==> ((^x.x)((a b)((a a) a))) 11. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 138390/14450448. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 138391/14450520. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b (^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (^y.y))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.x))) REDUCED to normal form. ------ 138392/14450547. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.(a a)))) REDUCED to normal form. ------ 138393/14450574. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.y)(a a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)(a a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a a))) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 138394/14450601. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 138395/14450673. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 138396/14450682. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 138397/14450709. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)((a a) a))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 138398/14450916. ------ 1. ==[ start ]==> (((a b) c)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b) c)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 138399/14450943. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((b a) c)) 3. ==[ beta ]==> (((a a) b)((b a) c)) REDUCED to normal form. ------ 138400/14451150. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (b a))) 3. ==[ beta ]==> (b (c (b a))) REDUCED to normal form. ------ 138401/14451213. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 138402/14451492. ------ 1. ==[ start ]==> ((a (b a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 138403/14451726. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 138404/14451834. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 138405/14451861. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((b a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((b a) b)) REDUCED to normal form. ------ 138406/14452059. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 138407/14452113. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 138408/14452338. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 138409/14452617. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(a a)))) REDUCED to normal form. ------ 138410/14452725. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 138411/14452752. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(a a)) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a)) c)) 5. ==[ beta ]==> ((^y.b)(((^z.z)(a a)) c)) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(a a)) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 138412/14452932. ------ 1. ==[ start ]==> ((a (^b.b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 138413/14453247. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 138414/14453535. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a b) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a b) c)) REDUCED to normal form. ------ 138415/14453724. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 138416/14453742. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (b (((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 138417/14453751. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a)) b)) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 138418/14453778. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b) c)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 138419/14453850. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a (a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138420/14453922. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b (^y.(a a)))) 3. ==[ beta ]==> (((a a) b)(b (^y.(a a)))) 4. ==[ alpha ]==> (((a a) b)(b (^x.(a a)))) REDUCED to normal form. ------ 138421/14453976. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (b a))((^y.(a a))(a a))) 4. ==[ alpha ]==> ((a (b a))((^x.(a a))(a a))) 5. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 138422/14454003. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) b) REDUCED to normal form. ------ 138423/14454057. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 138424/14454084. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)((a a) a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)((a a) a))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a b)((a a) a))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a b)((a a) a))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(^y.y))) 9. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 10. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 138425/14454111. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((a a) a))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 138426/14454138. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 138427/14454192. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a a)) REDUCED to normal form. ------ 138428/14454219. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((b (a a)) b) REDUCED to normal form. ------ 138429/14454417. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 138430/14454525. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138431/14454642. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 138432/14454669. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.a))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.a)) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 138433/14454750. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 138434/14454777. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)(^y.b))) REDUCED to normal form. ------ 138435/14454831. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a) b)) REDUCED to normal form. ------ 138436/14454975. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(^y.b))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.b)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.b)) REDUCED to normal form. ------ 138437/14455137. ------ 1. ==[ start ]==> (((a b)(a b))(b (^c.a))) 2. ==[ alpha ]==> (((a b)(a b))(b (^x.a))) REDUCED to normal form. ------ 138438/14455164. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(a (^y.b))) 3. ==[ beta ]==> (((a a)((a a) a))(a (^y.b))) 4. ==[ alpha ]==> (((a a)((a a) a))(a (^x.b))) REDUCED to normal form. ------ 138439/14455245. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1) a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)(a ((^x1.x1) a))) 8. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a ((^z.z) a))) 9. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 138440/14455272. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 138441/14455299. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 138442/14455326. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a (b (^x.x)))((a a) a)) REDUCED to normal form. ------ 138443/14455497. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a ((a a) a))) 3. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 138444/14455605. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138445/14455668. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a)(a a)) b)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 6. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 138446/14455776. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 138447/14455803. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1) a)) 5. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 138448/14455875. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(c ((^z.z) a))) 3. ==[ beta ]==> (b (c ((^z.z) a))) 4. ==[ alpha ]==> (b (c ((^x.x) a))) 5. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 138449/14455983. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138450/14455992. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 138451/14456109. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(b (^x.x))) a) REDUCED to normal form. ------ 138452/14456136. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 138453/14456163. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((a b)((^x.x)(a (a a)))) 7. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 138454/14456190. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 138455/14456217. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 138456/14456244. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 138457/14456271. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a b)(a a))(^y.(y y))) 6. ==[ alpha ]==> (((a b)(a a))(^x.(x x))) REDUCED to normal form. ------ 138458/14456379. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a (^z.(z z)))) REDUCED to normal form. ------ 138459/14456406. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.a)(a a))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.a)(a a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.a)(a a))) 5. ==[ beta ]==> ((b a)((^y.a)(a a))) 6. ==[ alpha ]==> ((b a)((^x.a)(a a))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 138460/14456433. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 138461/14456487. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 138462/14456577. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a a))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 7. ==[ beta ]==> ((a (^y.y))(a a)) 8. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 138463/14456658. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 138464/14456766. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138465/14456882. ------ 1. ==[ start ]==> (^a.(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (^x.(((^y.(^z.z)) x) x)) 3. ==[ beta ]==> (^x.((^z.z) x)) 4. ==[ alpha ]==> (^x.((^y.y) x)) 5. ==[ eta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138466/14456883. ------ 1. ==[ start ]==> (a (((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (a (((^x.(^y.y)) a) a)) 3. ==[ beta ]==> (a ((^y.y) a)) 4. ==[ alpha ]==> (a ((^x.x) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 138467/14459163. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((a a)(a a)))) 3. ==[ beta ]==> (^y.((^z.((a a)(a a)))(^z.((a a)(a a))))) 4. ==[ alpha ]==> (^x.((^y.((a a)(a a)))(^z.((a a)(a a))))) 5. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 138468/14464635. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138469/14466195. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a) a) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a) a) 3. ==[ beta ]==> (((^y.y) a) a) 4. ==[ alpha ]==> (((^x.x) a) a) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 138470/14466201. ------ 1. ==[ start ]==> ((^a.a)(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> (((^y.(^z.z)) a) a) 4. ==[ alpha ]==> (((^x.(^y.y)) a) a) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 138471/14466228. ------ 1. ==[ start ]==> ((^a.(a a))((b (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x x))((b (^y.y)) b)) 3. ==[ beta ]==> (((b (^y.y)) b)((b (^y.y)) b)) 4. ==[ alpha ]==> (((b (^x.x)) b)((b (^y.y)) b)) REDUCED to normal form. ------ 138472/14466255. ------ 1. ==[ start ]==> ((^a.b)(((a a)(a a)) c)) 2. ==[ alpha ]==> ((^x.b)(((a a)(a a)) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 138473/14466291. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 138474/14466453. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)(^d.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.a))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.a))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 138475/14466600. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> ((((^x.x) a) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a) a)(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 138476/14467374. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 138477/14468478. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (^y.(((^z.z)((a a)(a a)))((^z.z)((a a)(a a))))) 4. ==[ alpha ]==> (^x.(((^y.y)((a a)(a a)))((^z.z)((a a)(a a))))) 5. ==[ beta ]==> (^x.(((a a)(a a))((^z.z)((a a)(a a))))) 6. ==[ alpha ]==> (^x.(((a a)(a a))((^y.y)((a a)(a a))))) 7. ==[ beta ]==> (^x.(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 138478/14468481. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((a a)(a a)))) REDUCED to normal form. ------ 138479/14469360. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a) a)(^z.b))) 3. ==[ beta ]==> (((((a a) a)(^z.b))(((a a) a)(^z.b)))(^y.y)) 4. ==[ alpha ]==> (((((a a) a)(^x.b))(((a a) a)(^y.b)))(^z.z)) REDUCED to normal form. ------ 138480/14469840. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 138481/14470665. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 138482/14471046. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 138483/14471556. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138484/14471838. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138485/14471871. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 138486/14472351. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 138487/14473233. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 138488/14473950. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138489/14473953. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 138490/14474124. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 138491/14474268. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b c)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b c)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b c)(^x.(^z.z))) 6. ==[ alpha ]==> ((b c)(^x.(^y.y))) REDUCED to normal form. ------ 138492/14474421. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^x2.x2))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 138493/14474790. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 138494/14474898. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^c.d)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.d)) 3. ==[ beta ]==> (((a b)(a a))(^y.d)) 4. ==[ alpha ]==> (((a b)(a a))(^x.d)) REDUCED to normal form. ------ 138495/14475111. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(((^x1.x1) a) a)) 3. ==[ eta ]==> ((^y.(^z.z))(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138496/14475510. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^a.a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.z)) 3. ==[ beta ]==> (((^y.y) a)(^z.z)) 4. ==[ alpha ]==> (((^x.x) a)(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 138497/14475522. ------ 1. ==[ start ]==> ((a a)(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((a a)(((^x.(^y.y)) a) a)) 3. ==[ beta ]==> ((a a)((^y.y) a)) 4. ==[ alpha ]==> ((a a)((^x.x) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 138498/14475549. ------ 1. ==[ start ]==> ((a (a a))((b (^a.a)) b)) 2. ==[ alpha ]==> ((a (a a))((b (^x.x)) b)) REDUCED to normal form. ------ 138499/14475576. ------ 1. ==[ start ]==> ((a b)(((a a)(a a)) c)) REDUCED to normal form. ------ 138500/14475612. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 138501/14475720. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 138502/14475747. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 138503/14475774. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(^d.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 138504/14475855. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 138505/14475891. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (b (^y.y)))) REDUCED to normal form. ------ 138506/14475918. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a a)(a ((^y.(^z.z)) a))) 4. ==[ alpha ]==> ((a a)(a ((^x.(^y.y)) a))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 138507/14475945. ------ 1. ==[ start ]==> (((a a)(^b.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((b (^y.y))(a a))) REDUCED to normal form. ------ 138508/14475972. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(a a))(a (^x1.x1)))) REDUCED to normal form. ------ 138509/14475999. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(b ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 138510/14476107. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(a a))(a b))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(a b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a b))) 5. ==[ beta ]==> ((a a)((a a)(a b))) REDUCED to normal form. ------ 138511/14476188. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(b a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(b a))) 5. ==[ beta ]==> ((a b)((^y.y)(b a))) 6. ==[ alpha ]==> ((a b)((^x.x)(b a))) 7. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 138512/14476215. ------ 1. ==[ start ]==> (((a (a a)) a)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 138513/14476242. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a ((^z.z) b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y) b))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a b)) REDUCED to normal form. ------ 138514/14476269. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))((a a)(a a)))) REDUCED to normal form. ------ 138515/14476296. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(b (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(b (^z.z)))) REDUCED to normal form. ------ 138516/14476359. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 138517/14476386. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) a)(b (^z.a))) 6. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.a))) REDUCED to normal form. ------ 138518/14476413. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 138519/14476440. ------ 1. ==[ start ]==> (((a (a a))(a a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 138520/14476476. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138521/14476503. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(a a))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 138522/14476611. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 9. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 138523/14476638. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 138524/14476692. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(b (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.z))) REDUCED to normal form. ------ 138525/14476764. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) b) c)) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) b) c)) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b) c)) 5. ==[ beta ]==> (((a a)(^x.x))(b c)) REDUCED to normal form. ------ 138526/14476935. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 138527/14476989. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (a ((^z.(z z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 138528/14477025. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c ((^z.z) b))) 3. ==[ beta ]==> (((^y.y) b)(c ((^z.z) b))) 4. ==[ alpha ]==> (((^x.x) b)(c ((^y.y) b))) 5. ==[ beta ]==> (b (c ((^y.y) b))) 6. ==[ alpha ]==> (b (c ((^x.x) b))) 7. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 138529/14477052. ------ 1. ==[ start ]==> ((((a a) a) a)(b ((a a)(a a)))) REDUCED to normal form. ------ 138530/14477106. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 138531/14477133. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(b (a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(b (a (^y.y)))) REDUCED to normal form. ------ 138532/14477160. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 138533/14477187. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((b a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((b a)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138534/14477214. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 138535/14477403. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 138536/14477421. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.b)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.b)(b (^y.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 138537/14477502. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(a (^x1.x1)))) IRREDUCIBLE: cycle. ------ 138538/14477583. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138539/14477610. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((a b)((^y.(a a))((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.(a a))((a a) a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 138540/14477637. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.b)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a b))) 5. ==[ beta ]==> ((^y.b)(a b)) 6. ==[ alpha ]==> ((^x.b)(a b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 138541/14477691. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 138542/14477772. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138543/14477799. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 138544/14477817. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(a a)) a)) REDUCED to normal form. ------ 138545/14477844. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) b) b)) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(b b)) REDUCED to normal form. ------ 138546/14478015. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 138547/14478042. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138548/14478096. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 138549/14478186. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) b)(a a))) 3. ==[ beta ]==> (((a b) b)(b (a a))) REDUCED to normal form. ------ 138550/14478213. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 138551/14478240. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((b a) a)) REDUCED to normal form. ------ 138552/14478267. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a)(^z.z))(a (a a)))) REDUCED to normal form. ------ 138553/14478321. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)((a a) a))) REDUCED to normal form. ------ 138554/14478348. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(a b))) 5. ==[ beta ]==> ((^y.(y y))(((a a) a)(a b))) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a)(a b))) 7. ==[ beta ]==> ((((a a) a)(a b))(((a a) a)(a b))) REDUCED to normal form. ------ 138555/14478375. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(a a))) 6. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(a a))) 7. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 138556/14478402. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))((a a)(^z.z)))) REDUCED to normal form. ------ 138557/14478429. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(b a))) 5. ==[ beta ]==> (((a a)(^x.x))(a (b a))) REDUCED to normal form. ------ 138558/14478519. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) b)(^y.y))) 5. ==[ beta ]==> ((a ((a a) a))(b (^y.y))) 6. ==[ alpha ]==> ((a ((a a) a))(b (^x.x))) REDUCED to normal form. ------ 138559/14478546. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 138560/14478573. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((b a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((b a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((b a)(^y.a))) 5. ==[ beta ]==> ((a (a a))((b a)(^y.a))) 6. ==[ alpha ]==> ((a (a a))((b a)(^x.a))) REDUCED to normal form. ------ 138561/14478600. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a) a)(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 138562/14478627. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 138563/14478654. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a b)(^y.a))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.a))) REDUCED to normal form. ------ 138564/14478681. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(^y.b))) REDUCED to normal form. ------ 138565/14478717. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138566/14478852. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138567/14478960. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 138568/14479104. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (b a))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (b a))) REDUCED to normal form. ------ 138569/14479131. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 138570/14479158. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((^z.z) b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 138571/14479194. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 138572/14479248. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z)) d)) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z)) d)) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) d)) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 138573/14479608. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 138574/14479716. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((b a)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((b a)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 138575/14479743. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138576/14479797. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 138577/14479878. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 138578/14479986. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.(a a))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(a a))(^y1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 138579/14480085. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (((a (a a))(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.y))) REDUCED to normal form. ------ 138580/14480265. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (a a))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138581/14480364. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 138582/14480445. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 138583/14480553. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(y1 y1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138584/14480580. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 138585/14480607. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138586/14480742. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 138587/14480850. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138588/14480877. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 138589/14480976. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(a a)) c)) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(a a)) c)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a)) c)) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 138590/14481156. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138591/14481192. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 138592/14481201. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138593/14481228. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(a a))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(a a))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 138594/14481363. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(a b))) 3. ==[ beta ]==> (b ((^z.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 138595/14481471. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(a a))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(a a))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138596/14481525. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 138597/14481552. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138598/14481606. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 138599/14481642. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(a a))(b ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.(a a))(b ((^y.y)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 138600/14481669. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 138601/14481696. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a b)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 138602/14481723. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 138603/14481750. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(((a a) a) a)) REDUCED to normal form. ------ 138604/14481804. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (a a))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (a a))(^y1.y1))) REDUCED to normal form. ------ 138605/14481831. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> ((b (^x.x))(a ((a a) a))) REDUCED to normal form. ------ 138606/14481921. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((a (b a))(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> ((a (b a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (b a))((a a)(^x.x))) REDUCED to normal form. ------ 138607/14481948. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 138608/14481975. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a)(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(^z.a))) 6. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(^y.a))) 7. ==[ beta ]==> ((a a)(((a a) a)(^y.a))) 8. ==[ alpha ]==> ((a a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 138609/14482002. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a)(a b))(^y.(y y))) 6. ==[ alpha ]==> ((((a a) a)(a b))(^x.(x x))) REDUCED to normal form. ------ 138610/14482029. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 138611/14482083. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 138612/14482137. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a) a)) REDUCED to normal form. ------ 138613/14482164. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a b) b)) 3. ==[ beta ]==> ((b (a a))((a b) b)) REDUCED to normal form. ------ 138614/14482227. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138615/14482506. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((b b)((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((b b)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 138616/14482533. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a a)(a b))) REDUCED to normal form. ------ 138617/14482551. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(a (^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 138618/14482578. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 5. ==[ beta ]==> ((^y.b)(a a)) 6. ==[ alpha ]==> ((^x.b)(a a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 138619/14482632. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 138620/14482713. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138621/14482821. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138622/14482947. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.b) a)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.b) a)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.b) a)) 5. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 138623/14483001. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 138624/14483136. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a)(^z.z))) REDUCED to normal form. ------ 138625/14483190. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a))(^z.a))) REDUCED to normal form. ------ 138626/14483217. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((b (a (^x.x)))(a (^z.(z z)))) 6. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 138627/14483244. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 138628/14483271. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 138629/14483361. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(x2 x2))(^y2.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(x2 x2))(^y2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138630/14483442. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b ((^z.z)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 138631/14483586. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b c)((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b c)((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b c)((a a)(^y.y))) 6. ==[ alpha ]==> ((b c)((a a)(^x.x))) REDUCED to normal form. ------ 138632/14483658. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((b (^x.x))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 138633/14483685. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 138634/14483739. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^z1.z1)(^x2.x2))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 138635/14483820. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 138636/14483829. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(c ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(c a)) REDUCED to normal form. ------ 138637/14483856. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(b (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.b))(b (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))(b (a (a a)))) REDUCED to normal form. ------ 138638/14483937. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (a (^x1.x1)))) REDUCED to normal form. ------ 138639/14483964. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.a))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.a))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b (^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 138640/14483991. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 138641/14484054. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 138642/14484081. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 138643/14484108. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y) b))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a b)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 138644/14484135. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (a a)) a)) REDUCED to normal form. ------ 138645/14484162. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(((^z.z) a) b)) 3. ==[ beta ]==> (((^y.y)(b a))(((^z.z) a) b)) 4. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a) b)) 5. ==[ beta ]==> ((b a)(((^y.y) a) b)) 6. ==[ alpha ]==> ((b a)(((^x.x) a) b)) 7. ==[ beta ]==> ((b a)(a b)) REDUCED to normal form. ------ 138646/14484243. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a)(a b))((^y.(y y)) a)) 4. ==[ alpha ]==> (((a a)(a b))((^x.(x x)) a)) 5. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 138647/14484270. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a)) a) REDUCED to normal form. ------ 138648/14484351. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((b ((^y.y) a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((b ((^x.x) a))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((b a)(((^y.y) a)(^z.z))) 6. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.y))) 7. ==[ beta ]==> ((b a)(a (^y.y))) 8. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 138649/14484378. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 138650/14484432. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(((^z.z) a) a)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a) a)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) a)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 138651/14484522. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(c (^z.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))(c (^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(c (^z.z))) 5. ==[ beta ]==> ((^y.y)(c (^z.z))) 6. ==[ alpha ]==> ((^x.x)(c (^y.y))) 7. ==[ beta ]==> (c (^y.y)) 8. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 138652/14484603. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138653/14484711. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b (^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138654/14484828. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(a a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(a a)) 3. ==[ beta ]==> (((^y.y) a)(a a)) 4. ==[ alpha ]==> (((^x.x) a)(a a)) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 138655/14487117. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(a a)))(^z.(^x1.(a a))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(a a)))(^x1.(^y1.(a a))))) 5. ==[ beta ]==> (^x.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 138656/14494149. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a) b) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a) b) 3. ==[ beta ]==> (((^y.y) a) b) 4. ==[ alpha ]==> (((^x.x) a) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 138657/14494173. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138658/14494758. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> ((((^y.y)(a a))(a b))((((^y.y)(a a))(a b))(((^y.y)(a a))(a b)))) 4. ==[ alpha ]==> ((((^x.x)(a a))(a b))((((^y.y)(a a))(a b))(((^z.z)(a a))(a b)))) 5. ==[ beta ]==> (((a a)(a b))((((^y.y)(a a))(a b))(((^z.z)(a a))(a b)))) 6. ==[ alpha ]==> (((a a)(a b))((((^x.x)(a a))(a b))(((^y.y)(a a))(a b)))) 7. ==[ beta ]==> (((a a)(a b))(((a a)(a b))(((^y.y)(a a))(a b)))) 8. ==[ alpha ]==> (((a a)(a b))(((a a)(a b))(((^x.x)(a a))(a b)))) 9. ==[ beta ]==> (((a a)(a b))(((a a)(a b))((a a)(a b)))) REDUCED to normal form. ------ 138659/14494983. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 138660/14495346. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 138661/14496054. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (^y.y))((^z.z) b)) b) 4. ==[ alpha ]==> (((a (^x.x))((^y.y) b)) b) 5. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 138662/14496441. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (^y.(((a a)(^z.(a a)))((a a)(^z.(a a))))) 4. ==[ alpha ]==> (^x.(((a a)(^y.(a a)))((a a)(^z.(a a))))) REDUCED to normal form. ------ 138663/14496444. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 138664/14497137. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^y.b)) REDUCED to normal form. ------ 138665/14497803. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 138666/14498079. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))(b a))) 3. ==[ eta ]==> (b ((a (^y.y))(b a))) 4. ==[ alpha ]==> (b ((a (^x.x))(b a))) REDUCED to normal form. ------ 138667/14498424. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 138668/14498730. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 138669/14498916. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (a a))(a b))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.y))) REDUCED to normal form. ------ 138670/14499567. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(b y))) 3. ==[ eta ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 138671/14500314. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 138672/14501592. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(z b))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(z b))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y b))) REDUCED to normal form. ------ 138673/14502231. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 138674/14502258. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.(^c.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.x))) REDUCED to normal form. ------ 138675/14502393. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 138676/14502888. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(y (y y)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(y (y y)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(x (x x)))) REDUCED to normal form. ------ 138677/14503473. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 138678/14503487. ------ 1. ==[ start ]==> (^a.(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (^x.(^y.((^z.(^x1.x1)) x))) 3. ==[ beta ]==> (^x.(^y.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 138679/14503488. ------ 1. ==[ start ]==> (a (^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (a (^x.((^y.(^z.z)) a))) 3. ==[ beta ]==> (a (^x.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 138680/14503503. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 138681/14503530. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((b (^z.z)) b)) 3. ==[ beta ]==> ((^y.y)((b (^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) b)) 5. ==[ beta ]==> ((b (^y.y)) b) 6. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 138682/14503593. ------ 1. ==[ start ]==> (((^a.a) b)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 138683/14503620. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 138684/14503701. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 138685/14503728. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 138686/14503782. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138687/14504007. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 138688/14504034. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 138689/14504061. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))((a a) a))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 138690/14504088. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a))(a b))) 3. ==[ beta ]==> ((a (a (a a)))((a a)(a b))) REDUCED to normal form. ------ 138691/14504241. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.(a a)))) REDUCED to normal form. ------ 138692/14504313. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b (^z.z))(^x1.x1))) REDUCED to normal form. ------ 138693/14504403. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((b b)((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 138694/14504448. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138695/14504475. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 138696/14504538. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 138697/14504565. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(b a))) 5. ==[ beta ]==> (a ((^y.(^z.z))(b a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(b a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 138698/14504583. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 138699/14504592. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^x1.(^y1.y1)))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 138700/14504610. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 138701/14504619. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 138702/14504646. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 138703/14504673. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 138704/14504997. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.z))) 5. ==[ beta ]==> (b ((^y.a)(^z.z))) 6. ==[ alpha ]==> (b ((^x.a)(^y.y))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 138705/14505123. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z) c)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z) c)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z) c)) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z) c)) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y) c)) 7. ==[ beta ]==> ((a a)((^y.y) c)) 8. ==[ alpha ]==> ((a a)((^x.x) c)) 9. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 138706/14505222. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 138707/14505249. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(a b))) REDUCED to normal form. ------ 138708/14505276. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 138709/14505303. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> (((a (a a)) a)((a a)(^y.y))) 8. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.x))) REDUCED to normal form. ------ 138710/14505330. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (a a))(b a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (a a))(b a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(b a))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(b a))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(b a))) REDUCED to normal form. ------ 138711/14505357. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 138712/14505375. ------ 1. ==[ start ]==> (((^a.b) a)(c (^b.b))) 2. ==[ alpha ]==> (((^x.b) a)(c (^y.y))) 3. ==[ beta ]==> (b (c (^y.y))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 138713/14505384. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> ((a (a b))((a (^x.x)) b)) REDUCED to normal form. ------ 138714/14505474. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) b)(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 138715/14505555. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 138716/14505564. ------ 1. ==[ start ]==> (((a b) a)((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 138717/14505582. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((a b)((a a)(^y.a))) 6. ==[ alpha ]==> ((a b)((a a)(^x.a))) REDUCED to normal form. ------ 138718/14505591. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 138719/14505609. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a b)(^z.b))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.b))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.b))) 5. ==[ beta ]==> ((a b)(^y.b)) 6. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 138720/14505645. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 138721/14505672. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 138722/14505699. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(b a))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(b a))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(b a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 138723/14505726. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 138724/14505744. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 138725/14505753. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 138726/14505771. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 138727/14505942. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 138728/14506149. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (b ((^x1.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 138729/14506437. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 138730/14506464. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a) b)) REDUCED to normal form. ------ 138731/14506590. ------ 1. ==[ start ]==> (((^a.b) c)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138732/14506689. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 7. ==[ beta ]==> ((^y.y)(^z.(a a))) 8. ==[ alpha ]==> ((^x.x)(^y.(a a))) 9. ==[ beta ]==> (^y.(a a)) 10. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 138733/14506824. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) b) a)) 3. ==[ beta ]==> (b (((^z.z) b) a)) 4. ==[ alpha ]==> (b (((^x.x) b) a)) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 138734/14506833. ------ 1. ==[ start ]==> (((a b) c)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 138735/14506860. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 138736/14506941. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 138737/14506968. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 138738/14507022. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138739/14507103. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 138740/14507130. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 138741/14507166. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 138742/14507193. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((b a)(a (^y.y)))) REDUCED to normal form. ------ 138743/14507220. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (a b))(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> ((a (a b))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 138744/14507247. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a a)(a (a a)))) REDUCED to normal form. ------ 138745/14507274. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a b)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((a b)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a b)(^y.y)) 12. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 138746/14507301. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 138747/14507328. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (((a b) a)((^y.y)(a b))) 6. ==[ alpha ]==> (((a b) a)((^x.x)(a b))) 7. ==[ beta ]==> (((a b) a)(a b)) REDUCED to normal form. ------ 138748/14507355. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 138749/14507382. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 138750/14507409. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))(b a))) REDUCED to normal form. ------ 138751/14507499. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((b a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 138752/14507580. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 138753/14507643. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 138754/14507688. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 138755/14507751. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 138756/14507769. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (((a b)(a b))((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 138757/14507778. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 138758/14507832. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 138759/14507859. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 138760/14507886. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 138761/14508030. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b (b a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b (b a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (b a))) 5. ==[ beta ]==> ((a (a a))(b (b a))) REDUCED to normal form. ------ 138762/14508057. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a b))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 138763/14508084. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((b a)(a a))) 5. ==[ beta ]==> (((a a) a)((b a)(a a))) REDUCED to normal form. ------ 138764/14508111. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 138765/14508138. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (a a)))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a (a a)))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a b)(a (a a)))((a a) a)) REDUCED to normal form. ------ 138766/14508165. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a b)(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a b)(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a b)(a (a a)))) 5. ==[ beta ]==> (((a a) a)((a b)(a (a a)))) REDUCED to normal form. ------ 138767/14508192. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 138768/14508246. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a))(a b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(a b))) REDUCED to normal form. ------ 138769/14508417. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (b ((a a)(^y.a))) 6. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 138770/14508525. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (a a))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138771/14508534. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a b)(a b))) REDUCED to normal form. ------ 138772/14508552. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 138773/14508561. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 138774/14508579. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 138775/14508633. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((b a) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((b a) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((b a) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((b a) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((b a) a)) 7. ==[ beta ]==> (((a a)(a a))((b a) a)) REDUCED to normal form. ------ 138776/14508669. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 138777/14508723. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 138778/14508777. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 138779/14508831. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 138780/14508867. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 138781/14508894. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (b a))) REDUCED to normal form. ------ 138782/14508921. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 138783/14508948. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a (a a))(a a))((a a)(a (^y.y)))) 6. ==[ alpha ]==> (((a (a a))(a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 138784/14508975. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a b)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a b))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a b)((^y.y) a))) 5. ==[ beta ]==> ((a b)((a b)((^y.y) a))) 6. ==[ alpha ]==> ((a b)((a b)((^x.x) a))) 7. ==[ beta ]==> ((a b)((a b) a)) REDUCED to normal form. ------ 138785/14509002. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 138786/14509029. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 138787/14509056. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 138788/14509083. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(a b))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a b))) REDUCED to normal form. ------ 138789/14509128. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138790/14509137. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 138791/14509173. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 138792/14509200. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1)(a a))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(a a))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 138793/14509335. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.b))) 5. ==[ beta ]==> (b (a (^y.b))) 6. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 138794/14509443. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1)(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138795/14509452. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 138796/14509479. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.b)(^z.a))) 3. ==[ beta ]==> ((b a)((^y.b)(^z.a))) 4. ==[ alpha ]==> ((b a)((^x.b)(^y.a))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 138797/14509506. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 138798/14509533. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 138799/14509614. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 138800/14509641. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 138801/14509659. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (b ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138802/14509839. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y))(a b))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(a b))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(a b))) REDUCED to normal form. ------ 138803/14509866. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 138804/14510334. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a)) a)) 3. ==[ beta ]==> (b ((^z.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 138805/14510478. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(c (^y.a))) 3. ==[ beta ]==> ((b b)(c (^y.a))) 4. ==[ alpha ]==> ((b b)(c (^x.a))) REDUCED to normal form. ------ 138806/14510505. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(b (^x.b))) REDUCED to normal form. ------ 138807/14510550. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 138808/14510559. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 138809/14510604. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((b a)(b a))((^y.y)(^z.a))) 6. ==[ alpha ]==> (((b a)(b a))((^x.x)(^y.a))) 7. ==[ beta ]==> (((b a)(b a))(^y.a)) 8. ==[ alpha ]==> (((b a)(b a))(^x.a)) REDUCED to normal form. ------ 138810/14510667. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 138811/14510685. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 138812/14510694. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 138813/14510748. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 138814/14510802. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 138815/14510829. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 138816/14510856. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 138817/14510892. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b ((a a) a))) REDUCED to normal form. ------ 138818/14510919. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a (a b))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (a b))) REDUCED to normal form. ------ 138819/14510946. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((a a) a)(a a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((a a) a)(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)(a a))) REDUCED to normal form. ------ 138820/14510973. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a))(b a))(a (^y.y))) 6. ==[ alpha ]==> (((a (a a))(b a))(a (^x.x))) REDUCED to normal form. ------ 138821/14511000. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 138822/14511027. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(a a))(a (a (a a)))) REDUCED to normal form. ------ 138823/14511054. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 138824/14511081. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a a)((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 138825/14511558. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b c)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((b c)(b (^x.(^y.y)))) REDUCED to normal form. ------ 138826/14511585. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a (^c.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(a (^x.a))) REDUCED to normal form. ------ 138827/14511630. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 138828/14511657. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 138829/14511693. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 138830/14511711. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 138831/14511720. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 138832/14511792. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z) a) c)) 3. ==[ beta ]==> (b (((^z.z) a) c)) 4. ==[ alpha ]==> (b (((^x.x) a) c)) 5. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 138833/14511801. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 138834/14511828. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 138835/14511900. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138836/14511936. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(c (^z.a))) 3. ==[ beta ]==> ((b (^y.a))(c (^z.a))) 4. ==[ alpha ]==> ((b (^x.a))(c (^y.a))) REDUCED to normal form. ------ 138837/14511963. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 138838/14512188. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a b)(a a))(b ((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a a))(b ((^x.x) a))) 5. ==[ beta ]==> (((a b)(a a))(b a)) REDUCED to normal form. ------ 138839/14512215. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(a (a (a a)))) 3. ==[ beta ]==> (((a a)(a b))(a (a (a a)))) REDUCED to normal form. ------ 138840/14512242. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(a (a a))) REDUCED to normal form. ------ 138841/14512296. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))((a a) a)) REDUCED to normal form. ------ 138842/14512494. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) a)) 5. ==[ beta ]==> ((^y.y)((^z.a) a)) 6. ==[ alpha ]==> ((^x.x)((^y.a) a)) 7. ==[ beta ]==> ((^y.a) a) 8. ==[ alpha ]==> ((^x.a) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 138843/14512575. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 138844/14512683. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138845/14512800. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(a (^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(a (^z.z))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 138846/14512817. ------ 1. ==[ start ]==> (^a.((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1)) x))) 3. ==[ beta ]==> (^x.((^z.(^x1.x1)) x)) 4. ==[ alpha ]==> (^x.((^y.(^z.z)) x)) 5. ==[ eta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 138847/14512818. ------ 1. ==[ start ]==> (a ((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (a ((^x.x)((^y.(^z.z)) a))) 3. ==[ beta ]==> (a ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 138848/14512821. ------ 1. ==[ start ]==> ((^a.a)(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.x)(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 138849/14521731. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.((^y1.y1) a))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138850/14522148. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a)) a) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a)) a) 3. ==[ beta ]==> (((^y.(^z.z)) a) a) 4. ==[ alpha ]==> (((^x.(^y.y)) a) a) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 138851/14522154. ------ 1. ==[ start ]==> ((^a.a)((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.x)((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138852/14522157. ------ 1. ==[ start ]==> ((a a)(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a a)(^x.((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a a)(^x.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 138853/14522289. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.z1)) 5. ==[ beta ]==> ((^y.(^z.z))(^z1.z1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138854/14522478. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(^x1.x1))) 3. ==[ eta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138855/14522571. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> (((^x.x)((^y.y) a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 138856/14522649. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 138857/14523531. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((((^y.(a a))(^z.b))((^y.(a a))(^z.b)))((^y.(a a))(^z.b))) 4. ==[ alpha ]==> ((((^x.(a a))(^y.b))((^z.(a a))(^x1.b)))((^y1.(a a))(^z1.b))) 5. ==[ beta ]==> (((a a)((^z.(a a))(^x1.b)))((^y1.(a a))(^z1.b))) 6. ==[ alpha ]==> (((a a)((^x.(a a))(^y.b)))((^z.(a a))(^x1.b))) 7. ==[ beta ]==> (((a a)(a a))((^z.(a a))(^x1.b))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.b))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 138858/14523732. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(b (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(b (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 138859/14523864. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 138860/14524044. ------ 1. ==[ start ]==> ((^a.(a b))(c (^b.b))) 2. ==[ alpha ]==> ((^x.(x b))(c (^y.y))) 3. ==[ beta ]==> ((c (^y.y)) b) 4. ==[ alpha ]==> ((c (^x.x)) b) REDUCED to normal form. ------ 138861/14524452. ------ 1. ==[ start ]==> (((a a)(a b))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((a a)(a a)))) REDUCED to normal form. ------ 138862/14524638. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.b)(^x1.b))((^z.b)(^x1.b)))) 4. ==[ alpha ]==> ((^x.x)(((^y.b)(^z.b))((^x1.b)(^y1.b)))) 5. ==[ beta ]==> (((^y.b)(^z.b))((^x1.b)(^y1.b))) 6. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(^x1.b))) 7. ==[ beta ]==> (b ((^z.b)(^x1.b))) 8. ==[ alpha ]==> (b ((^x.b)(^y.b))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 138863/14524812. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> (b (^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> (b (^x.((x x)(x x)))) REDUCED to normal form. ------ 138864/14525313. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b)((a a) a))) 3. ==[ beta ]==> ((((^z.b)((a a) a))((^z.b)((a a) a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.b)((a a) a))((^y.b)((a a) a)))(^z.z)) 5. ==[ beta ]==> ((b ((^y.b)((a a) a)))(^z.z)) 6. ==[ alpha ]==> ((b ((^x.b)((a a) a)))(^y.y)) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 138865/14526069. ------ 1. ==[ start ]==> ((^a.(b a))(c (^d.a))) 2. ==[ alpha ]==> ((^x.(b x))(c (^y.a))) 3. ==[ eta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 138866/14526414. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 138867/14526720. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 138868/14526999. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(b a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(b a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(b a))) 5. ==[ beta ]==> ((a a)(^z.(b a))) 6. ==[ alpha ]==> ((a a)(^x.(b a))) REDUCED to normal form. ------ 138869/14527509. ------ 1. ==[ start ]==> ((^a.(^b.b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138870/14528322. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (b (^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 138871/14528556. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 138872/14528772. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 138873/14528823. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.b)(^z.(^x1.x1)))((^y.b)(^z.(^x1.x1))))(((^y.b)(^z.(^x1.x1)))((^y.b)(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1))))(((^x2.b)(^y2.(^z2.z2)))((^x3.b)(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((b ((^x1.b)(^y1.(^z1.z1))))(((^x2.b)(^y2.(^z2.z2)))((^x3.b)(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((b ((^x.b)(^y.(^z.z))))(((^x1.b)(^y1.(^z1.z1)))((^x2.b)(^y2.(^z2.z2))))) 7. ==[ beta ]==> ((b b)(((^x1.b)(^y1.(^z1.z1)))((^x2.b)(^y2.(^z2.z2))))) 8. ==[ alpha ]==> ((b b)(((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1))))) 9. ==[ beta ]==> ((b b)(b ((^x1.b)(^y1.(^z1.z1))))) 10. ==[ alpha ]==> ((b b)(b ((^x.b)(^y.(^z.z))))) 11. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 138874/14528997. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 138875/14529582. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.z))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.y))) REDUCED to normal form. ------ 138876/14529771. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(^y1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.b))) REDUCED to normal form. ------ 138877/14529903. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 138878/14530770. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(a (a a)))) REDUCED to normal form. ------ 138879/14530878. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 138880/14530986. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 138881/14531064. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.x1)((^y1.y1) a))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138882/14531067. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 138883/14531157. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(x x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.z)) 5. ==[ beta ]==> (((^y.y)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138884/14531346. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(z1 (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(z1 (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138885/14531463. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^b.a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.a)) 3. ==[ beta ]==> (((^y.y) a)(^z.a)) 4. ==[ alpha ]==> (((^x.x) a)(^y.a)) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 138886/14531481. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^a.a)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.x1)) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138887/14531493. ------ 1. ==[ start ]==> ((a a)((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a a)((^x.x)((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 138888/14531511. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((^x.x) a)(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> (a (((^y.(^z.z)) a) a)) 4. ==[ alpha ]==> (a (((^x.(^y.y)) a) a)) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 138889/14531538. ------ 1. ==[ start ]==> (((a a) a)((b (^a.a)) b)) 2. ==[ alpha ]==> (((a a) a)((b (^x.x)) b)) REDUCED to normal form. ------ 138890/14531601. ------ 1. ==[ start ]==> (((a a)(a a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y y))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 138891/14531628. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 138892/14531790. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 138893/14531817. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 138894/14531907. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((^y.y) a)(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> (((^x.x) a)(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> (a (a ((^y.(^z.z)) a))) 6. ==[ alpha ]==> (a (a ((^x.(^y.y)) a))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 138895/14531934. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((b (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(a a))) 5. ==[ beta ]==> ((b (^y.y))(a a)) 6. ==[ alpha ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 138896/14531988. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(x x)))(b a)) REDUCED to normal form. ------ 138897/14532096. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(a b))) 5. ==[ beta ]==> ((((^y.y)(a a))(a b))(((^y.y)(a a))(a b))) 6. ==[ alpha ]==> ((((^x.x)(a a))(a b))(((^y.y)(a a))(a b))) 7. ==[ beta ]==> (((a a)(a b))(((^y.y)(a a))(a b))) 8. ==[ alpha ]==> (((a a)(a b))(((^x.x)(a a))(a b))) 9. ==[ beta ]==> (((a a)(a b))((a a)(a b))) REDUCED to normal form. ------ 138898/14532123. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 138899/14532177. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(b a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(b a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 9. ==[ beta ]==> ((^y.y)(b a)) 10. ==[ alpha ]==> ((^x.x)(b a)) 11. ==[ beta ]==> (b a) REDUCED to normal form. ------ 138900/14532204. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a a))((a (a a))(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a a))((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 138901/14532231. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 138902/14532285. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a a)(b (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(b (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(b (^x.x)))) REDUCED to normal form. ------ 138903/14532384. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.z) a)) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) a)) 7. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 138904/14532402. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b b)((a (^y.(^z.z)))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b b)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 138905/14532411. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 138906/14532537. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 138907/14532591. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 138908/14532618. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.z))) REDUCED to normal form. ------ 138909/14532645. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 138910/14532699. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((b (^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((b (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b (^z.z)) a)) 5. ==[ beta ]==> ((^y.y)((b (^z.z)) a)) 6. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 7. ==[ beta ]==> ((b (^y.y)) a) 8. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 138911/14532762. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.a)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.a)) REDUCED to normal form. ------ 138912/14532789. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 138913/14532870. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(^y.b))) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 138914/14533041. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b ((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)(b ((a a)(a a)))) REDUCED to normal form. ------ 138915/14533068. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a (b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a (b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 138916/14533122. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b)(a (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b)(a (^z.z)))) 7. ==[ beta ]==> ((a a)(((^y.y) b)(a (^z.z)))) 8. ==[ alpha ]==> ((a a)(((^x.x) b)(a (^y.y)))) 9. ==[ beta ]==> ((a a)(b (a (^y.y)))) 10. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 138917/14533131. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y) c)) 3. ==[ beta ]==> (((a (a a))(^x.a)) c) REDUCED to normal form. ------ 138918/14533203. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 138919/14533383. ------ 1. ==[ start ]==> ((a (a b))(c (^b.b))) 2. ==[ alpha ]==> ((a (a b))(c (^x.x))) REDUCED to normal form. ------ 138920/14533392. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 138921/14533536. ------ 1. ==[ start ]==> ((((a a) a) b)((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((b a)(^x.(x x)))) REDUCED to normal form. ------ 138922/14533563. ------ 1. ==[ start ]==> (((a b) a)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 138923/14533590. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 138924/14533644. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 138925/14533725. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 138926/14533752. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 138927/14533788. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a b))((a a)(a a))) REDUCED to normal form. ------ 138928/14533842. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 138929/14533869. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 138930/14533950. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 138931/14533977. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(^z.b))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.b))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.b))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 138932/14534148. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a ((a a)(a a)))) 3. ==[ beta ]==> (b (a ((a a)(a a)))) REDUCED to normal form. ------ 138933/14534157. ------ 1. ==[ start ]==> (((a b) b)((^c.(a a)) a)) 2. ==[ alpha ]==> (((a b) b)((^x.(a a)) a)) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 138934/14534184. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y) b)) 3. ==[ beta ]==> (((a a) a)((^y.y) b)) 4. ==[ alpha ]==> (((a a) a)((^x.x) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 138935/14534202. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 138936/14534211. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 138937/14534229. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((b a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((b a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y) a))) 5. ==[ beta ]==> ((b a)((^y.y) a)) 6. ==[ alpha ]==> ((b a)((^x.x) a)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 138938/14534283. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z)(^x1.x1)))) 11. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.x1))) 12. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 13. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 14. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 15. ==[ beta ]==> ((a a)(^y.y)) 16. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 138939/14534364. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 138940/14534463. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (^y.y))) REDUCED to normal form. ------ 138941/14534517. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 138942/14534544. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 138943/14534589. ------ 1. ==[ start ]==> (((^a.b) c)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 138944/14534598. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 138945/14534625. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 138946/14534652. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 138947/14534832. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) b) a)) 2. ==[ alpha ]==> (((a b) c)(((^x.x) b) a)) 3. ==[ beta ]==> (((a b) c)(b a)) REDUCED to normal form. ------ 138948/14534859. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (((a a) b)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 138949/14534886. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((b a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((b a) c)) REDUCED to normal form. ------ 138950/14535408. ------ 1. ==[ start ]==> ((a (b a))(c (^d.a))) 2. ==[ alpha ]==> ((a (b a))(c (^x.a))) REDUCED to normal form. ------ 138951/14535642. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.b))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.b)) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.b)) REDUCED to normal form. ------ 138952/14535750. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 138953/14535777. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 138954/14535831. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z)) c)) REDUCED to normal form. ------ 138955/14535975. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a a)(b a))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(b a))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 138956/14536002. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 138957/14536056. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 138958/14536254. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(a b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 138959/14536335. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)(b a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)(b a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(b a))) 5. ==[ beta ]==> ((a a)((a a)(b a))) REDUCED to normal form. ------ 138960/14536533. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a))(^z.b))) REDUCED to normal form. ------ 138961/14536560. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.(a a)))) REDUCED to normal form. ------ 138962/14536641. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((b a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((b a) a)) REDUCED to normal form. ------ 138963/14536668. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z)) b)) 5. ==[ beta ]==> ((^y.b)(((a a)(^z.z)) b)) 6. ==[ alpha ]==> ((^x.b)(((a a)(^y.y)) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 138964/14536848. ------ 1. ==[ start ]==> ((a (^b.b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.x))(c (a a))) REDUCED to normal form. ------ 138965/14537136. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 138966/14537451. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a a) b)) REDUCED to normal form. ------ 138967/14537478. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a b) c)) 2. ==[ alpha ]==> ((((^x.x) b) a)((a b) c)) 3. ==[ beta ]==> ((b a)((a b) c)) REDUCED to normal form. ------ 138968/14537658. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a ((a a)(^y.y)))) 3. ==[ beta ]==> (b (a ((a a)(^y.y)))) 4. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 138969/14537667. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 138970/14537694. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a)) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 138971/14537721. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.b) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 138972/14537766. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1)(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138973/14537838. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c (^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c (^y.b))) 3. ==[ beta ]==> (((a a) b)(c (^y.b))) 4. ==[ alpha ]==> (((a a) b)(c (^x.b))) REDUCED to normal form. ------ 138974/14537865. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b (^x1.(a a)))) REDUCED to normal form. ------ 138975/14537892. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 138976/14537919. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 138977/14537946. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(a (^z.z)))) 7. ==[ beta ]==> ((a a)((^y.b)(a (^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.b)(a (^y.y)))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 138978/14537973. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 138979/14538000. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 138980/14538027. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 11. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.x1))) 12. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 13. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 14. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 138981/14538054. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 138982/14538108. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a a)) REDUCED to normal form. ------ 138983/14538135. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((b (a a))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((b (a a))((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((b (a a))(a a)) REDUCED to normal form. ------ 138984/14538162. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(a a))) b) REDUCED to normal form. ------ 138985/14538333. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (b (a ((^z.z)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 138986/14538441. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 138987/14538522. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a a)(a b))) 3. ==[ beta ]==> (((a a)(a a))((a a)(a b))) REDUCED to normal form. ------ 138988/14538558. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.z))) REDUCED to normal form. ------ 138989/14538585. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 138990/14538666. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 138991/14538693. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 138992/14538747. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b) a)) REDUCED to normal form. ------ 138993/14538801. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.y1) c)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1) c)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) c) REDUCED to normal form. ------ 138994/14538918. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.b))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.b)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.b)) REDUCED to normal form. ------ 138995/14539053. ------ 1. ==[ start ]==> (((a b)(a b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 138996/14539080. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(b (^y.a))) 3. ==[ beta ]==> (((a a)((a a) a))(b (^y.a))) 4. ==[ alpha ]==> (((a a)((a a) a))(b (^x.a))) REDUCED to normal form. ------ 138997/14539107. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a (^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.b))) REDUCED to normal form. ------ 138998/14539161. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 138999/14539188. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((b (a (^x.x)))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((b (a (^x.x)))(a ((^z.z) a))) 8. ==[ alpha ]==> ((b (a (^x.x)))(a ((^y.y) a))) 9. ==[ beta ]==> ((b (a (^x.x)))(a a)) REDUCED to normal form. ------ 139000/14539215. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 139001/14539242. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 139002/14539413. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 139003/14539521. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1) a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139004/14539692. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 139005/14539719. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 139006/14539800. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y) a) c)) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a c)) REDUCED to normal form. ------ 139007/14539899. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139008/14539908. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(b b)) REDUCED to normal form. ------ 139009/14539935. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.a) c)) 3. ==[ beta ]==> ((b (^y.a))((^z.a) c)) 4. ==[ alpha ]==> ((b (^x.a))((^y.a) c)) 5. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 139010/14540025. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 139011/14540052. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a))) a) REDUCED to normal form. ------ 139012/14540079. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 139013/14540106. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 139014/14540133. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((b a)((^y.(y y))(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.(x x))(^y.y))) 7. ==[ beta ]==> ((b a)((^y.y)(^y.y))) 8. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((b a)(^y.y)) 10. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 139015/14540160. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x))) a) REDUCED to normal form. ------ 139016/14540187. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 139017/14540214. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a b))(^y.(y y))) 6. ==[ alpha ]==> (((a a)(a b))(^x.(x x))) REDUCED to normal form. ------ 139018/14540295. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(b (^z.a))) REDUCED to normal form. ------ 139019/14540322. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(a (^z.(z z)))) 3. ==[ beta ]==> ((b ((^y.y) a))(a (^z.(z z)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(a (^y.(y y)))) 5. ==[ beta ]==> ((b a)(a (^y.(y y)))) 6. ==[ alpha ]==> ((b a)(a (^x.(x x)))) REDUCED to normal form. ------ 139020/14540349. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x))) a) REDUCED to normal form. ------ 139021/14540403. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 139022/14540493. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> ((^y.y)(a ((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)(a ((^y.y) a))) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139023/14540574. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(c a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 139024/14540682. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139025/14540799. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.a) a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.z) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139026/14540817. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(a a)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(a a)) 3. ==[ beta ]==> (((^y.(^z.z)) a)(a a)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(a a)) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139027/14540838. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139028/14550156. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a)) b) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a)) b) 3. ==[ beta ]==> (((^y.(^z.z)) a) b) 4. ==[ alpha ]==> (((^x.(^y.y)) a) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 139029/14550180. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139030/14550183. ------ 1. ==[ start ]==> ((a (^a.a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 139031/14550198. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((^x.(x x))(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> ((((^y.(^z.z)) a) a)(((^y.(^z.z)) a) a)) 4. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(((^z.(^x1.x1)) a) a)) 5. ==[ beta ]==> (((^y.y) a)(((^z.(^x1.x1)) a) a)) 6. ==[ alpha ]==> (((^x.x) a)(((^y.(^z.z)) a) a)) 7. ==[ beta ]==> (a (((^y.(^z.z)) a) a)) 8. ==[ alpha ]==> (a (((^x.(^y.y)) a) a)) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139032/14550225. ------ 1. ==[ start ]==> ((^a.b)((b (^a.a)) b)) 2. ==[ alpha ]==> ((^x.b)((b (^y.y)) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 139033/14550423. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 139034/14550597. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 139035/14551116. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139036/14551758. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(b (^y1.y1)))) REDUCED to normal form. ------ 139037/14552448. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))((^y1.y1) b))((^z.(^x1.x1))((^y1.y1) b)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))((^x1.x1) b))((^y1.(^z1.z1))((^x2.x2) b)))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))((^x2.x2) b)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))((^y1.y1) b)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.y1) b))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1) b))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 139038/14552469. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(a a)))) REDUCED to normal form. ------ 139039/14552829. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (b (^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 139040/14552838. ------ 1. ==[ start ]==> (((a b) b)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.((x x)(x x)))) REDUCED to normal form. ------ 139041/14553330. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a b)(^z.a))) 3. ==[ beta ]==> ((((a b)(^z.a))((a b)(^z.a)))(^y.y)) 4. ==[ alpha ]==> ((((a b)(^x.a))((a b)(^y.a)))(^z.z)) REDUCED to normal form. ------ 139042/14553504. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.b)(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((^x.b)(^y.a))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139043/14554449. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(a b))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 139044/14554635. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 139045/14555313. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(z a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(z a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(z a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(z a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(y a))) 7. ==[ beta ]==> (((a a)(a a))(^y.(y a))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(x a))) REDUCED to normal form. ------ 139046/14555526. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139047/14556339. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 139048/14556348. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 139049/14556840. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a b) b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a b) b)) 3. ==[ beta ]==> ((((a b) b)((a b) b))(((a b) b)((a b) b))) REDUCED to normal form. ------ 139050/14557014. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 139051/14557230. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 139052/14557920. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139053/14558265. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 139054/14558895. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^c.d)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.d)) 3. ==[ beta ]==> (((a a)(a b))(^y.d)) 4. ==[ alpha ]==> (((a a)(a b))(^x.d)) REDUCED to normal form. ------ 139055/14559081. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a a)(^x1.a))) 3. ==[ eta ]==> ((^y.(^z.z))((a a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139056/14559174. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 7. ==[ beta ]==> (^y.(^z.a)) 8. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 139057/14559255. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (b (^x1.(^y1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 139058/14559363. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139059/14559480. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^a.(a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.(z z))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 139060/14559498. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 139061/14559528. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 139062/14559546. ------ 1. ==[ start ]==> ((a (a a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((a (a a))(((^x.(^y.y)) a) a)) 3. ==[ beta ]==> ((a (a a))((^y.y) a)) 4. ==[ alpha ]==> ((a (a a))((^x.x) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 139063/14559573. ------ 1. ==[ start ]==> ((a b)((b (^a.a)) b)) 2. ==[ alpha ]==> ((a b)((b (^x.x)) b)) REDUCED to normal form. ------ 139064/14559663. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139065/14559744. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139066/14559771. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 139067/14559852. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 139068/14559879. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 139069/14559888. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c ((a a)(a a)))) REDUCED to normal form. ------ 139070/14559915. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b (b (^y.y)))) 3. ==[ beta ]==> ((a a)(b (b (^y.y)))) 4. ==[ alpha ]==> ((a a)(b (b (^x.x)))) REDUCED to normal form. ------ 139071/14559942. ------ 1. ==[ start ]==> (((a a)(^b.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 139072/14559969. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b (^x1.x1))(a a))) REDUCED to normal form. ------ 139073/14559996. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 139074/14560104. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))((a a) a))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 139075/14560185. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a b)(((a a) a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((a b)(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 139076/14560212. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))(b a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)(b a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)(b a))) 5. ==[ beta ]==> (((a (a a)) a)(b a)) REDUCED to normal form. ------ 139077/14560239. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 139078/14560266. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a ((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a ((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(a b)) REDUCED to normal form. ------ 139079/14560293. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((a a)(a a)))) REDUCED to normal form. ------ 139080/14560320. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(b (^y.y)))) REDUCED to normal form. ------ 139081/14560356. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((b (^x.x))(^y.y))) REDUCED to normal form. ------ 139082/14560383. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 139083/14560410. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b)(^z.a))) 5. ==[ beta ]==> ((a (a (^x.x)))(b (^z.a))) 6. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 139084/14560437. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 139085/14560464. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 139086/14560554. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 139087/14560608. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 7. ==[ beta ]==> ((^y.(^z.z))(b a)) 8. ==[ alpha ]==> ((^x.(^y.y))(b a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139088/14560635. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 139089/14560689. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((a a)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 139090/14560761. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(a a)) b)) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(a a)) b)) REDUCED to normal form. ------ 139091/14560788. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) b) c)) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b c)) REDUCED to normal form. ------ 139092/14560932. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 139093/14561103. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (b (^x1.x1)))) REDUCED to normal form. ------ 139094/14561130. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 139095/14561157. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(b (a (^y.y)))) REDUCED to normal form. ------ 139096/14561184. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139097/14561211. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((b a)(a (a a)))) REDUCED to normal form. ------ 139098/14561400. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (a (^y.(^z.z))))) 6. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 139099/14561418. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.z))) 3. ==[ beta ]==> ((^y.b)(c (^z.z))) 4. ==[ alpha ]==> ((^x.b)(c (^y.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 139100/14561607. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 139101/14561634. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a a) a)) 6. ==[ alpha ]==> ((^x.(a a))((a a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139102/14561769. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 139103/14561796. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 139104/14561814. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((a a)(^x.(a a)))) REDUCED to normal form. ------ 139105/14561841. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a)(a a)) a)) REDUCED to normal form. ------ 139106/14561868. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) b) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) b) b)) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) b) b)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) b) b)) 7. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 139107/14562012. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((^y.(a a))((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.b)(^z.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139108/14562039. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 139109/14562174. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 139110/14562183. ------ 1. ==[ start ]==> (((a b) b)(a ((a a)(a a)))) REDUCED to normal form. ------ 139111/14562210. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) b)(a a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b)(a a))) 5. ==[ beta ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 139112/14562237. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 139113/14562264. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((b a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((b a) a)) REDUCED to normal form. ------ 139114/14562318. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 139115/14562345. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a b)((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))((a b)((a a) a))) 7. ==[ beta ]==> (((a b)((a a) a))((a b)((a a) a))) REDUCED to normal form. ------ 139116/14562372. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)(a b))) REDUCED to normal form. ------ 139117/14562399. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 139118/14562426. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 139119/14562543. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) b)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.x))(b (^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.y))) REDUCED to normal form. ------ 139120/14562570. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 139121/14562597. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((b a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((b a)(^y.a))) 3. ==[ beta ]==> ((((a a) a) a)((b a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a) a)((b a)(^x.a))) REDUCED to normal form. ------ 139122/14562624. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 139123/14562651. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 139124/14562678. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(^y.a))) REDUCED to normal form. ------ 139125/14562714. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 139126/14562849. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 139127/14563011. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.b)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(^y.a))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 139128/14563092. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139129/14563155. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 139130/14563191. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y) a)) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 139131/14563218. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 139132/14563524. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(a a))) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a a))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 139133/14563605. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 139134/14563713. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((b a)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((b a)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((b a)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((b a)(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((b a)((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((b a)((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((b a)((a a)(a a))) REDUCED to normal form. ------ 139135/14563740. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 139136/14563794. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a b)(a b))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a b)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 139137/14563875. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139138/14563983. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 139139/14564109. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1))) a)) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z))) a)) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 139140/14564163. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 139141/14564262. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139142/14564442. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139143/14564550. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139144/14564577. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 139145/14564604. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 139146/14564658. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)(b a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)(b a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)(b a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)(b a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(b a))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(b a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(b a))) 9. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 139147/14564739. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (b ((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 139148/14564847. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139149/14564874. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 139150/14565000. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(a a)) c)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a)) c)) 5. ==[ beta ]==> ((a b)((^y.(a a)) c)) 6. ==[ alpha ]==> ((a b)((^x.(a a)) c)) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 139151/14565153. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139152/14565360. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (b ((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a) a))) 5. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 139153/14565522. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(^z.a))) 5. ==[ beta ]==> (b ((^y.b)(^z.a))) 6. ==[ alpha ]==> (b ((^x.b)(^y.a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 139154/14565639. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c (a b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c (a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (a b))) 5. ==[ beta ]==> ((^y.(a a))(c (a b))) 6. ==[ alpha ]==> ((^x.(a a))(c (a b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139155/14565666. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(b (a a))) REDUCED to normal form. ------ 139156/14565684. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 139157/14565693. ------ 1. ==[ start ]==> (((a b)(^c.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 139158/14565720. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 139159/14565747. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 139160/14565801. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(a (a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (a a))) REDUCED to normal form. ------ 139161/14565828. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (^x.x))((a (a a))(^z.z))) 6. ==[ alpha ]==> ((b (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 139162/14565945. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 139163/14565972. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((a b)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 139164/14565999. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((a a) a)(^x.a))) REDUCED to normal form. ------ 139165/14566026. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a b)((a a) a))(^y.(y y))) 6. ==[ alpha ]==> (((a b)((a a) a))(^x.(x x))) REDUCED to normal form. ------ 139166/14566053. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 139167/14566134. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a)(^x1.(a a)))) REDUCED to normal form. ------ 139168/14566161. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((b (a a))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((b (a a))(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((b (a a))((a a) a)) REDUCED to normal form. ------ 139169/14566188. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a b) b)) REDUCED to normal form. ------ 139170/14566224. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 139171/14566359. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 139172/14566503. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((b b)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((b b)(a (^y.y))) 8. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 139173/14566530. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 139174/14566548. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(b (^y.b))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.b))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.b))) REDUCED to normal form. ------ 139175/14566575. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(a (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 139176/14566629. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 139177/14566710. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 139178/14566971. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.b) a)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.b) a)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b) a)) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 139179/14566998. ------ 1. ==[ start ]==> (((a (a a))(b a))((^c.a) b)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a) b)) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 139180/14567025. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) c)) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 139181/14567187. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 139182/14567214. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 139183/14567241. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(a (^y.(y y)))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 139184/14567268. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 139185/14567358. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(^z2.(^x3.x3)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))(^z2.(^x3.x3)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139186/14567439. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139187/14567583. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((b c)((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((b c)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 139188/14567610. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a)(a a)) b)((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a)(a a)) b)((a a)(^x.x))) REDUCED to normal form. ------ 139189/14567655. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 139190/14567682. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 7. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 139191/14567718. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(c d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(c d)) 3. ==[ beta ]==> ((a (^y.y))(c d)) 4. ==[ alpha ]==> ((a (^x.x))(c d)) REDUCED to normal form. ------ 139192/14567736. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(a (a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 139193/14567817. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139194/14567853. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(c ((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.b))(c ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.b))(c ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.b))(c a)) REDUCED to normal form. ------ 139195/14567934. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (a a))(a a))) REDUCED to normal form. ------ 139196/14567961. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((b (^x.a))(a (a (^z.z)))) 6. ==[ alpha ]==> ((b (^x.a))(a (a (^y.y)))) REDUCED to normal form. ------ 139197/14567988. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 139198/14568051. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 139199/14568078. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 139200/14568105. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) b))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a b)((a (^y.y))(^z.a))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 139201/14568132. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a a)(^z.(z z)))) REDUCED to normal form. ------ 139202/14568159. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (a a)) a)) 3. ==[ beta ]==> (((^y.y)(b a))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.x)(b a))((a (a a)) a)) 5. ==[ beta ]==> ((b a)((a (a a)) a)) REDUCED to normal form. ------ 139203/14568186. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 139204/14568213. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (^y.y)) c)) 3. ==[ beta ]==> (((a b)(a a))((a (^y.y)) c)) 4. ==[ alpha ]==> (((a b)(a a))((a (^x.x)) c)) REDUCED to normal form. ------ 139205/14568267. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 139206/14568375. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 139207/14568429. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a a)(^z.a))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 139208/14568519. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 139209/14568600. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (b (a (^x1.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 139210/14568708. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139211/14568825. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(a (a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(a (a a))) 3. ==[ beta ]==> (((^y.y) a)(a (a a))) 4. ==[ alpha ]==> (((^x.x) a)(a (a a))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 139212/14568843. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(a (^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(a (^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(a (^z.z))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 139213/14574534. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 139214/14578236. ------ 1. ==[ start ]==> (((^a.a) a)(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x) a)(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (a (^y.((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> (a (^x.((^y.(^z.z)) a))) 5. ==[ beta ]==> (a (^x.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 139215/14578809. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a) a))((((a a)(^y.y))((a a) a))(((a a)(^y.y))((a a) a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((((a a)(^y.y))((a a) a))(((a a)(^z.z))((a a) a)))) REDUCED to normal form. ------ 139216/14579424. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 7. ==[ beta ]==> (^y.(y (^z.z))) 8. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 139217/14580105. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((^y.y) a)(a (^z.(^x1.x1)))) b) 4. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z)))) b) 5. ==[ beta ]==> ((a (a (^y.(^z.z)))) b) 6. ==[ alpha ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 139218/14580492. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.(((a (^z.z))(^x1.x1))((a (^z.z))(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(^z.z))((a (^x1.x1))(^y1.y1)))) REDUCED to normal form. ------ 139219/14580882. ------ 1. ==[ start ]==> (((a b) b)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 139220/14581548. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 139221/14581557. ------ 1. ==[ start ]==> (((a b) c)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a b) c)(^x.((^y.y) x))) 3. ==[ eta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 139222/14581890. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^y.b)) REDUCED to normal form. ------ 139223/14582130. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)((a a)(^z.z)))) 3. ==[ eta ]==> (b (((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (b (a ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 139224/14582493. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 139225/14582502. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 139226/14582808. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)(^y.(y (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 139227/14582967. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1))((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.z))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 139228/14583366. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(y a))) REDUCED to normal form. ------ 139229/14583645. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x) a)((a a)(^y.y))) b) 4. ==[ beta ]==> ((a ((a a)(^y.y))) b) 5. ==[ alpha ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 139230/14583885. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 139231/14583888. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 139232/14584392. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 139233/14584617. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a (b a))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (b a))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((a (b a))(^x.(a a))) REDUCED to normal form. ------ 139234/14585283. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 139235/14585472. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 139236/14585670. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.(x1 b))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.(x1 b))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(z b))) REDUCED to normal form. ------ 139237/14586966. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(y (y y)))) REDUCED to normal form. ------ 139238/14587047. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.((^z.z) a))) 5. ==[ beta ]==> ((b a)(^y.((^z.z) a))) 6. ==[ alpha ]==> ((b a)(^x.((^y.y) a))) 7. ==[ beta ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 139239/14587125. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(b c)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(b c)) 3. ==[ eta ]==> ((^y.(^z.z))(b c)) 4. ==[ alpha ]==> ((^x.(^y.y))(b c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139240/14587218. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^c.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.z)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139241/14587299. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (b (^x1.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 139242/14587407. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139243/14587524. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 139244/14587542. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^b.a)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.a)) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.a)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.a)) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 139245/14587590. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (a ((^y.y)((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> (a ((^x.x)((^y.(^z.z)) a))) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 139246/14587608. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a) a)) 5. ==[ beta ]==> (((^y.(^z.z)) a) a) 6. ==[ alpha ]==> (((^x.(^y.y)) a) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 139247/14587635. ------ 1. ==[ start ]==> (((^a.a)(a a))((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a a))((b (^y.y)) b)) 3. ==[ beta ]==> ((a a)((b (^y.y)) b)) 4. ==[ alpha ]==> ((a a)((b (^x.x)) b)) REDUCED to normal form. ------ 139248/14587671. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 139249/14587698. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 139250/14587725. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 139251/14587806. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 139252/14587860. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)(^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 139253/14587941. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 139254/14588085. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) b)((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(b ((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)(b ((^x.x) a))) 7. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 139255/14588112. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1)))(a (a a)))) REDUCED to normal form. ------ 139256/14588139. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((b a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((b a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((b a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((b a)(^x.x))) REDUCED to normal form. ------ 139257/14588166. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 139258/14588481. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((b b)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((b b)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((b b)((^y.y) a)) 6. ==[ alpha ]==> ((b b)((^x.x) a)) 7. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 139259/14588526. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139260/14588607. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)((a b)(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 7. ==[ beta ]==> ((a b)(^y.(a a))) 8. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 139261/14588616. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 139262/14588670. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 139263/14588688. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 139264/14588697. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a (^x1.(^y1.y1)))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.(^x1.x1)))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 139265/14588724. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 139266/14588751. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 139267/14588778. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(b (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(b (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(b (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(b (^z.z)))) 7. ==[ beta ]==> ((^y.y)(b (^z.z))) 8. ==[ alpha ]==> ((^x.x)(b (^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139268/14589075. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> (b (^y.(^z.z))) 10. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 139269/14589102. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.y))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 139270/14589300. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 139271/14589327. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)((a a) a))) REDUCED to normal form. ------ 139272/14589354. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a b)(a b))) 3. ==[ beta ]==> ((a (a (a a)))((a b)(a b))) REDUCED to normal form. ------ 139273/14589381. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a)) a)(((a a) a)(a a))) REDUCED to normal form. ------ 139274/14589408. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(^z.z)))) 9. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 10. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 139275/14589435. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (a a))(b a))) REDUCED to normal form. ------ 139276/14589462. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a b))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a b))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 139277/14589552. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(a a))(^z.z))) IRREDUCIBLE: cycle. ------ 139278/14589615. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 139279/14589633. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((b a)(^z.(z z)))) 3. ==[ beta ]==> (b ((b a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((b a)(^x.(x x)))) REDUCED to normal form. ------ 139280/14589660. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 139281/14589669. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 139282/14589723. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 139283/14589741. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 139284/14589777. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 139285/14589804. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((b a)(b a))) REDUCED to normal form. ------ 139286/14589822. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 139287/14589831. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 139288/14589849. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 139289/14590020. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139290/14590236. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a b) b)(^y.(a a))) 4. ==[ alpha ]==> (((a b) b)(^x.(a a))) REDUCED to normal form. ------ 139291/14590281. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z) b)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y) b)) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 139292/14590308. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) c)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) c) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) c) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 139293/14590515. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(b a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(b a))) 5. ==[ beta ]==> (((a a)(a a))(a (b a))) REDUCED to normal form. ------ 139294/14590542. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 139295/14590569. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a a)((^y.y) b))) 3. ==[ beta ]==> ((a ((a a) a))((a a)((^y.y) b))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)((^x.x) b))) 5. ==[ beta ]==> ((a ((a a) a))((a a) b)) REDUCED to normal form. ------ 139296/14590668. ------ 1. ==[ start ]==> (((^a.b) c)((^d.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 139297/14590767. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a) a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.b))) 5. ==[ beta ]==> (((a a) a)(^y.b)) 6. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 139298/14590902. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(^z.z))) 3. ==[ beta ]==> (b ((a a)(^z.z))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 139299/14590911. ------ 1. ==[ start ]==> (((a b) c)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a b) c)((^x.x)((^y.y) b))) 3. ==[ beta ]==> (((a b) c)((^y.y) b)) 4. ==[ alpha ]==> (((a b) c)((^x.x) b)) 5. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 139300/14590938. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 139301/14590965. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 139302/14590983. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((b a) c)) 3. ==[ beta ]==> (((a a)(^y.y))((b a) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((b a) c)) REDUCED to normal form. ------ 139303/14591019. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 139304/14591046. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 139305/14591100. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139306/14591127. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 139307/14591154. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 139308/14591208. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 139309/14591244. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a ((^y.y) b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 139310/14591271. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 139311/14591298. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((b a)(a (^y.y)))) 3. ==[ beta ]==> ((a (a b))((b a)(a (^y.y)))) 4. ==[ alpha ]==> ((a (a b))((b a)(a (^x.x)))) REDUCED to normal form. ------ 139312/14591325. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 139313/14591352. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a (a a)))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (a a)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 9. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 10. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 11. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 139314/14591379. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a b)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((a b)(^x.x))) REDUCED to normal form. ------ 139315/14591406. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a b) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 139316/14591433. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(a b))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a b))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 139317/14591460. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a (a a))(a a))) REDUCED to normal form. ------ 139318/14591487. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a (b a))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (b a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 139319/14591577. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 139320/14591658. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (b ((a a)(^y.(y y)))) 6. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 139321/14591721. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 139322/14591766. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> ((b a)((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((b a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 139323/14591829. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 139324/14591847. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(a b))((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b)(a b))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 139325/14591856. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 139326/14591928. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a)(^y.y)) c)) 3. ==[ beta ]==> (b (((a a)(^y.y)) c)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) c)) REDUCED to normal form. ------ 139327/14591937. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 139328/14591964. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 139329/14591991. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 139330/14592135. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (b a))) REDUCED to normal form. ------ 139331/14592162. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a) a)(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> (((a a) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 139332/14592189. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((b a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((b a)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((b a)(a a))) REDUCED to normal form. ------ 139333/14592216. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 139334/14592243. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y) a))) 7. ==[ beta ]==> (((a a) a)((a a)((^y.y) a))) 8. ==[ alpha ]==> (((a a) a)((a a)((^x.x) a))) 9. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 139335/14592270. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 139336/14592324. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)((a a) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a) a)) REDUCED to normal form. ------ 139337/14592495. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 139338/14592612. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 139339/14592630. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (a a))(^x1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.b))) REDUCED to normal form. ------ 139340/14592639. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a b)(a b))) REDUCED to normal form. ------ 139341/14592657. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 139342/14592720. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(b a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(b a)) REDUCED to normal form. ------ 139343/14592792. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(a a)) c)) 3. ==[ beta ]==> (b (((^x1.x1)(a a)) c)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) c)) 5. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 139344/14592801. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 139345/14592828. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 139346/14592855. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 139347/14592909. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.b)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.b)(^y1.b))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 139348/14592972. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 139349/14592999. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a (b a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a (b a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (b a))) REDUCED to normal form. ------ 139350/14593026. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 139351/14593053. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a b)(((^y.y)(a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a b)(((^x.x)(a a))(a (^y.y)))) 7. ==[ beta ]==> ((a b)((a a)(a (^y.y)))) 8. ==[ alpha ]==> ((a b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 139352/14593080. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a b)((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a b) a)) REDUCED to normal form. ------ 139353/14593107. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 139354/14593134. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.y))) 9. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 10. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 139355/14593161. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (a a))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (a a))((a a) a))) REDUCED to normal form. ------ 139356/14593206. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c (^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139357/14593215. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a (^z.z))(a a))) REDUCED to normal form. ------ 139358/14593242. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a b)((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((a b)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 139359/14593278. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((a a)(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 139360/14593413. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(^z.a))) 3. ==[ beta ]==> (b ((a (a a))(^z.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 139361/14593521. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((a a)(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139362/14593530. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 139363/14593557. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 139364/14593575. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a b) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a b) c)) 3. ==[ beta ]==> (((^y.y) b)((a b) c)) 4. ==[ alpha ]==> (((^x.x) b)((a b) c)) 5. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 139365/14593584. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 139366/14593692. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.b))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139367/14593719. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 139368/14593746. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 139369/14593917. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)((a a) a))) 5. ==[ beta ]==> (((a a) b)(a ((a a) a))) REDUCED to normal form. ------ 139370/14593944. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(a b))) REDUCED to normal form. ------ 139371/14593971. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (b a))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (b a))((a a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a (b a))((a a)(a a))) REDUCED to normal form. ------ 139372/14594277. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a) c)) 3. ==[ beta ]==> ((^y.y)(((a a) a) c)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) c)) 5. ==[ beta ]==> (((a a) a) c) REDUCED to normal form. ------ 139373/14594637. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(a a)))) REDUCED to normal form. ------ 139374/14594664. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.b)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.b)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 139375/14594682. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 139376/14594745. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 139377/14594763. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 139378/14594772. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 139379/14594826. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 139380/14594871. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((a a) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139381/14594880. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 139382/14594907. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 139383/14594934. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 139384/14594997. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b ((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(b ((a a) a))) REDUCED to normal form. ------ 139385/14595024. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(a (a b))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(a (a b))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (a b))) REDUCED to normal form. ------ 139386/14595051. ------ 1. ==[ start ]==> (((a (a a))(b a))(((a a) a)(a a))) REDUCED to normal form. ------ 139387/14595078. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a (^x1.x1)))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.z)))) 9. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 10. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 139388/14595105. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((((a a) a)(a a))((a (a a)) a)) REDUCED to normal form. ------ 139389/14595132. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))(a (a (a a)))) REDUCED to normal form. ------ 139390/14595159. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 139391/14595186. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a a)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)((a a) a))) REDUCED to normal form. ------ 139392/14595411. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2)(^y2.y2)) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2)(^y2.y2)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139393/14595636. ------ 1. ==[ start ]==> ((((^a.a) b) c)(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(c (^y.(y y)))) 3. ==[ beta ]==> ((b c)(c (^y.(y y)))) 4. ==[ alpha ]==> ((b c)(c (^x.(x x)))) REDUCED to normal form. ------ 139394/14595663. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 139395/14595708. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((b (^x.x))(^z.z)) 8. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 139396/14595735. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 139397/14595771. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 139398/14595789. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.y1))(^z1.(z1 z1)))) REDUCED to normal form. ------ 139399/14595798. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 139400/14595870. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 139401/14595879. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 139402/14595906. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 139403/14595978. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139404/14596158. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(c c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(c c)) 3. ==[ beta ]==> ((a ((^y.y) b))(c c)) 4. ==[ alpha ]==> ((a ((^x.x) b))(c c)) 5. ==[ beta ]==> ((a b)(c c)) REDUCED to normal form. ------ 139405/14596266. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(c (a (^y.y)))) 3. ==[ beta ]==> (((a b)(a a))(c (a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a a))(c (a (^x.x)))) REDUCED to normal form. ------ 139406/14596293. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(b ((^y.y) a))) 3. ==[ beta ]==> (((a a)(a b))(b ((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a b))(b ((^x.x) a))) 5. ==[ beta ]==> (((a a)(a b))(b a)) REDUCED to normal form. ------ 139407/14596320. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a (a (a a)))) REDUCED to normal form. ------ 139408/14596374. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 139409/14596401. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a a)((^z.z) a))) 3. ==[ beta ]==> ((b ((^y.y) a))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a a)((^y.y) a))) 5. ==[ beta ]==> ((b a)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((b a)((a a)((^x.x) a))) 7. ==[ beta ]==> ((b a)((a a) a)) REDUCED to normal form. ------ 139410/14596482. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(b c)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(b c)) 3. ==[ beta ]==> ((a (^y.y))(b c)) 4. ==[ alpha ]==> ((a (^x.x))(b c)) REDUCED to normal form. ------ 139411/14596572. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a) c)) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a) c)) 5. ==[ beta ]==> ((^y.y)((a a) c)) 6. ==[ alpha ]==> ((^x.x)((a a) c)) 7. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 139412/14596653. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (b ((^x1.x1) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 139413/14596761. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139414/14596878. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 139415/14596896. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.x1) a)) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.x1) a)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z) a)) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 139416/14596922. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 139417/14596923. ------ 1. ==[ start ]==> (a ((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(b (^z.z)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 139418/14596953. ------ 1. ==[ start ]==> ((^a.(a a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(x x))(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((^y.((^z.(^x1.x1)) a))(^y.((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((^x.((^y.(^z.z)) a))(^x1.((^y1.(^z1.z1)) a))) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139419/14597745. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 139420/14606280. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a))) a) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z))) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 139421/14606286. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139422/14606313. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) a))((^y.y)((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.x1)((^y1.(^z1.z1)) a))) 5. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.x1)((^y1.(^z1.z1)) a))) 6. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)((^x1.(^y1.y1)) a))) 7. ==[ beta ]==> ((^y.y)((^z.z)((^x1.(^y1.y1)) a))) 8. ==[ alpha ]==> ((^x.x)((^y.y)((^z.(^x1.x1)) a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 11. ==[ beta ]==> ((^y.(^z.z)) a) 12. ==[ alpha ]==> ((^x.(^y.y)) a) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139423/14606316. ------ 1. ==[ start ]==> ((a (a a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (a a))(^x.((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a (a a))(^x.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 139424/14606421. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^z.z)(^x1.(x1 x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.z)) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139425/14606610. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139426/14606730. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.((^y1.(^z1.z1)) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(a (^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 139427/14606781. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 139428/14607105. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(b (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 139429/14607108. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 139430/14607231. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139431/14607996. ------ 1. ==[ start ]==> ((^a.(^a.b))((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((b a)(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 139432/14608611. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.((a a)(a a)))) REDUCED to normal form. ------ 139433/14608770. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.(a a))(^x1.a))((^z.(a a))(^x1.a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(a a))(^z.a))((^x1.(a a))(^y1.a)))) 5. ==[ beta ]==> (((^y.(a a))(^z.a))((^x1.(a a))(^y1.a))) 6. ==[ alpha ]==> (((^x.(a a))(^y.a))((^z.(a a))(^x1.a))) 7. ==[ beta ]==> ((a a)((^z.(a a))(^x1.a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 139434/14609445. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^z.(a a))((^x1.x1)(^y1.y1)))((^z.(a a))((^x1.x1)(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(a a))((^y.y)(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> (((a a)((^x1.(a a))((^y1.y1)(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> (((a a)((^x.(a a))((^y.y)(^z.z))))(^x1.x1)) 7. ==[ beta ]==> (((a a)(a a))(^x1.x1)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 139435/14609628. ------ 1. ==[ start ]==> (((a b) c)(^c.(^b.b))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 139436/14609961. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 139437/14610573. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 139438/14610879. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 139439/14611437. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 139440/14611956. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 139441/14611968. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 139442/14612931. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((b (a a))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((b (a a))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((b (a a))(^x.(a a))) REDUCED to normal form. ------ 139443/14612955. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((((^y.(a a))(^z.z))((^y.(a a))(^z.z)))(((^y.(a a))(^z.z))((^y.(a a))(^z.z)))) 4. ==[ alpha ]==> ((((^x.(a a))(^y.y))((^z.(a a))(^x1.x1)))(((^y1.(a a))(^z1.z1))((^x2.(a a))(^y2.y2)))) 5. ==[ beta ]==> (((a a)((^z.(a a))(^x1.x1)))(((^y1.(a a))(^z1.z1))((^x2.(a a))(^y2.y2)))) 6. ==[ alpha ]==> (((a a)((^x.(a a))(^y.y)))(((^z.(a a))(^x1.x1))((^y1.(a a))(^z1.z1)))) 7. ==[ beta ]==> (((a a)(a a))(((^z.(a a))(^x1.x1))((^y1.(a a))(^z1.z1)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.(a a))(^y.y))((^z.(a a))(^x1.x1)))) 9. ==[ beta ]==> (((a a)(a a))((a a)((^z.(a a))(^x1.x1)))) 10. ==[ alpha ]==> (((a a)(a a))((a a)((^x.(a a))(^y.y)))) 11. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 139444/14613345. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(a b))) 3. ==[ beta ]==> ((^y.y)(^x1.(a b))) 4. ==[ alpha ]==> ((^x.x)(^y.(a b))) 5. ==[ beta ]==> (^y.(a b)) 6. ==[ alpha ]==> (^x.(a b)) REDUCED to normal form. ------ 139445/14613543. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.b))) REDUCED to normal form. ------ 139446/14613741. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.z))) REDUCED to normal form. ------ 139447/14614035. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139448/14614695. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139449/14614821. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 139450/14614929. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(a (a a)))) 5. ==[ beta ]==> ((b a)(^y.(a (a a)))) 6. ==[ alpha ]==> ((b a)(^x.(a (a a)))) REDUCED to normal form. ------ 139451/14615037. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(^z.(z z)))) REDUCED to normal form. ------ 139452/14615145. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 139453/14615196. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139454/14615370. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (b (^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 139455/14615613. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.(x1 x1))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.(x1 x1))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(z z))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 139456/14615640. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139457/14615652. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(b (^z.z)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 139458/14615679. ------ 1. ==[ start ]==> ((a (a a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (a a))((^x.x)((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 139459/14615697. ------ 1. ==[ start ]==> (((a a) a)(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((a a) a)(((^x.(^y.y)) a) a)) 3. ==[ beta ]==> (((a a) a)((^y.y) a)) 4. ==[ alpha ]==> (((a a) a)((^x.x) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 139460/14615724. ------ 1. ==[ start ]==> (((a a)(^a.a))((b (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((b (^y.y)) b)) REDUCED to normal form. ------ 139461/14615751. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(a a)) c)) 2. ==[ alpha ]==> (((^x.x) b)(((a a)(a a)) c)) 3. ==[ beta ]==> (b (((a a)(a a)) c)) REDUCED to normal form. ------ 139462/14615787. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(z z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 139463/14615922. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 139464/14615976. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 139465/14616066. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (b (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)(b (b (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)(b (b (^y.y)))) 5. ==[ beta ]==> (a (b (b (^y.y)))) 6. ==[ alpha ]==> (a (b (b (^x.x)))) REDUCED to normal form. ------ 139466/14616093. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a ((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 139467/14616147. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 139468/14616255. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> ((((a a)(^y.y))((a a) a))(((a a)(^y.y))((a a) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 139469/14616282. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (((^y.y)(a a))(a b)) 6. ==[ alpha ]==> (((^x.x)(a a))(a b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 139470/14616336. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 139471/14616363. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(b a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(b a))) 5. ==[ beta ]==> ((a (a a))((^y.y)(b a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(b a))) 7. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 139472/14616390. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (a a))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 139473/14616444. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))((a a)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 139474/14616471. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(b (^z.z)))) REDUCED to normal form. ------ 139475/14616561. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) b)(^z.a))) 3. ==[ beta ]==> ((b b)(((^y.y) b)(^z.a))) 4. ==[ alpha ]==> ((b b)(((^x.x) b)(^y.a))) 5. ==[ beta ]==> ((b b)(b (^y.a))) 6. ==[ alpha ]==> ((b b)(b (^x.a))) REDUCED to normal form. ------ 139476/14616570. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y) a)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x) a)) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 139477/14616597. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 139478/14616696. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a b)(^x.(a a)))) REDUCED to normal form. ------ 139479/14616777. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (a a))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 139480/14616804. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a (^x.a))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.a))(a (^y.y))) REDUCED to normal form. ------ 139481/14616948. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 139482/14616975. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 139483/14617227. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 139484/14617281. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(a a))(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(a a))(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a))(a a))) 7. ==[ beta ]==> ((a a)(((a a)(a a))(a a))) REDUCED to normal form. ------ 139485/14617290. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a)) b)) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 139486/14617317. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139487/14617362. ------ 1. ==[ start ]==> ((a (^a.b))((b a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))((b a)(a (a a)))) REDUCED to normal form. ------ 139488/14617551. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 139489/14617695. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 139490/14617722. ------ 1. ==[ start ]==> (((a b) a)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 139491/14617749. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 139492/14617803. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(^x1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.b))) REDUCED to normal form. ------ 139493/14617830. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 139494/14617857. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 139495/14617911. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(^x.x))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 139496/14617947. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 139497/14617974. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)(a a))) REDUCED to normal form. ------ 139498/14618028. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 139499/14618055. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(^z1.a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.a))) 7. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.a))) 8. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.a))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 139500/14618109. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 139501/14618136. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 139502/14618307. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> (b (b ((^x1.x1) b))) 4. ==[ alpha ]==> (b (b ((^x.x) b))) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 139503/14618361. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) b)(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b)(a a))) 5. ==[ beta ]==> ((a a)(((^y.y) b)(a a))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)(a a))) 7. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 139504/14618370. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.b) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) b)) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 139505/14618388. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 139506/14618397. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 139507/14618442. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a (a a)))) 9. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (a a)))) 10. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (a a)))) 11. ==[ beta ]==> (((a a)(^y.y))(a (a a))) 12. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 139508/14618523. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a) a)(a b))) 3. ==[ beta ]==> (b (((a a) a)(a b))) REDUCED to normal form. ------ 139509/14618622. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 139510/14618649. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(b (^y.y))) 3. ==[ beta ]==> ((a ((a a) a))(b (^y.y))) 4. ==[ alpha ]==> ((a ((a a) a))(b (^x.x))) REDUCED to normal form. ------ 139511/14618703. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z)(a a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a a))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 139512/14618730. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 139513/14618748. ------ 1. ==[ start ]==> (((^a.b) c)((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) c)((b a)(^y.a))) 3. ==[ beta ]==> (b ((b a)(^y.a))) 4. ==[ alpha ]==> (b ((b a)(^x.a))) REDUCED to normal form. ------ 139514/14618811. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 139515/14618991. ------ 1. ==[ start ]==> (((a b) c)((a a)(^b.b))) 2. ==[ alpha ]==> (((a b) c)((a a)(^x.x))) REDUCED to normal form. ------ 139516/14619018. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y) b) a)) 3. ==[ beta ]==> (((a a) b)(((^y.y) b) a)) 4. ==[ alpha ]==> (((a a) b)(((^x.x) b) a)) 5. ==[ beta ]==> (((a a) b)(b a)) REDUCED to normal form. ------ 139517/14619045. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 139518/14619324. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 139519/14619801. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a) a)(^y.a))) REDUCED to normal form. ------ 139520/14619936. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 139521/14619990. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((b a) b)) REDUCED to normal form. ------ 139522/14620017. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 139523/14620134. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 139524/14620161. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 139525/14620188. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 139526/14620242. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 139527/14620413. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 139528/14620494. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 139529/14620719. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (a a))(^x1.b))) REDUCED to normal form. ------ 139530/14620827. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((b a) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))((b a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((b a) a)) 5. ==[ beta ]==> ((^y.b)((b a) a)) 6. ==[ alpha ]==> ((^x.b)((b a) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 139531/14620881. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 139532/14621025. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 139533/14621052. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 139534/14621322. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 139535/14621331. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 139536/14621610. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((a a)(^z.z)) a)) REDUCED to normal form. ------ 139537/14621637. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((b a)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((b a)(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((b a)((a a) b)) REDUCED to normal form. ------ 139538/14621664. ------ 1. ==[ start ]==> (((a a)(^b.b))((a b) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((a b) c)) REDUCED to normal form. ------ 139539/14621817. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (b (b ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 139540/14621853. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 139541/14621880. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 139542/14621925. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((a a) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139543/14622051. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b (^y.(a a)))) 3. ==[ beta ]==> ((a (b a))(b (^y.(a a)))) 4. ==[ alpha ]==> ((a (b a))(b (^x.(a a)))) REDUCED to normal form. ------ 139544/14622105. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(a a))) 7. ==[ beta ]==> ((a a)((^y.(a a))(a a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 139545/14622132. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a b)) b) REDUCED to normal form. ------ 139546/14622159. ------ 1. ==[ start ]==> (((a b)((a a) a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 139547/14622186. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 139548/14622213. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)(^z.z))) 9. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.z)) 10. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 139549/14622267. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 139550/14622294. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((b (a a))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((b (a a))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((b (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((b (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((b (a a))(a a)) REDUCED to normal form. ------ 139551/14622321. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((a ((a a)(a a)))(a a)) REDUCED to normal form. ------ 139552/14622492. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b (a b))) 3. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 139553/14622600. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139554/14622681. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 139555/14622708. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a a)(a b))) 3. ==[ beta ]==> ((^y.y)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 139556/14622744. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a b)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a b)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b)(^x1.x1))) REDUCED to normal form. ------ 139557/14622825. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 139558/14622852. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 139559/14622906. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.b))) REDUCED to normal form. ------ 139560/14622960. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((a a) a) b)) REDUCED to normal form. ------ 139561/14622987. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z)(^x1.x1)) c)) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.x1) c)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z) c)) 7. ==[ beta ]==> ((b (^x.(^y.y))) c) REDUCED to normal form. ------ 139562/14623050. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 139563/14623077. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 139564/14623104. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.b)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.b)) REDUCED to normal form. ------ 139565/14623266. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b (^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.a))) REDUCED to normal form. ------ 139566/14623347. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 139567/14623374. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((((a a)(a a))(a a))(a ((^y.y) a))) 6. ==[ alpha ]==> ((((a a)(a a))(a a))(a ((^x.x) a))) 7. ==[ beta ]==> ((((a a)(a a))(a a))(a a)) REDUCED to normal form. ------ 139568/14623401. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 139569/14623572. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 139570/14623680. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139571/14623716. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.a) d)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a) d)) 3. ==[ beta ]==> ((b c)((^y.a) d)) 4. ==[ alpha ]==> ((b c)((^x.a) d)) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 139572/14623851. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 139573/14623878. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (^x1.x1))(^y1.(y1 y1)))) REDUCED to normal form. ------ 139574/14623959. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (a a)) b)) REDUCED to normal form. ------ 139575/14623986. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z) a) c)) 3. ==[ beta ]==> (((a a)(^y.b))(((^z.z) a) c)) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a) c)) 5. ==[ beta ]==> (((a a)(^x.b))(a c)) REDUCED to normal form. ------ 139576/14624058. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139577/14624067. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 139578/14624094. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(z z)) b)) 3. ==[ beta ]==> ((b (^y.a))((^z.(z z)) b)) 4. ==[ alpha ]==> ((b (^x.a))((^y.(y y)) b)) 5. ==[ beta ]==> ((b (^x.a))(b b)) REDUCED to normal form. ------ 139579/14624121. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 139580/14624184. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 139581/14624211. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))((a a)(a a))) REDUCED to normal form. ------ 139582/14624238. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a b)((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.a)(a (^y.y)))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 139583/14624265. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 139584/14624292. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((b a)((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((b a)((^x.x)(a (a a)))) 7. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 139585/14624319. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 139586/14624346. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 139587/14624373. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 139588/14624400. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.(z z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(y y))) REDUCED to normal form. ------ 139589/14624481. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(b (^z.a))) 3. ==[ beta ]==> ((b ((^y.y) a))(b (^z.a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(b (^y.a))) 5. ==[ beta ]==> ((b a)(b (^y.a))) 6. ==[ alpha ]==> ((b a)(b (^x.a))) REDUCED to normal form. ------ 139590/14624508. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 139591/14624562. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 139592/14624652. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(b (a (^z.z)))) 6. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 139593/14624733. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 139594/14624841. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139595/14624958. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((a a) a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((a a) a)) 3. ==[ beta ]==> (((^y.y) a)((a a) a)) 4. ==[ alpha ]==> (((^x.x) a)((a a) a)) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 139596/14624976. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(a (a a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(a (a a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(a (a a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(a (a a))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 139597/14625003. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139598/14634369. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a))) b) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z))) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 139599/14634393. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139600/14634423. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (^y.((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 139601/14634438. ------ 1. ==[ start ]==> ((^a.b)(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((^x.b)(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 139602/14634636. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> (^y.((^z.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (^x.((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 139603/14634837. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.(^z1.z1)) x1))) 3. ==[ eta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 139604/14635329. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139605/14635998. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(b (^z.z)))) REDUCED to normal form. ------ 139606/14636661. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(((^z.a)(a (^x1.(^y1.y1))))((^z.a)(a (^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (^x.(((^y.a)(a (^z.(^x1.x1))))((^y1.a)(a (^z1.(^x2.x2)))))) 5. ==[ beta ]==> (^x.(a ((^y1.a)(a (^z1.(^x2.x2)))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(a (^z.(^x1.x1)))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 139607/14637078. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.((y y)(y y)))) 3. ==[ beta ]==> (((a a) a)(^y.((y y)(y y)))) 4. ==[ alpha ]==> (((a a) a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 139608/14637543. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((((^z.z)(a a))(^x1.(^y1.y1)))(((^z.z)(a a))(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> ((((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1))))(^z1.z1)) 7. ==[ beta ]==> ((((a a)(^x.(^y.y)))((a a)(^x1.(^y1.y1))))(^z1.z1)) 8. ==[ alpha ]==> ((((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 139609/14638392. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.x1))) 5. ==[ beta ]==> (b (^z.(^x1.x1))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 139610/14639739. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139611/14640336. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.((a a)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.((a a)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139612/14640561. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 139613/14640588. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 139614/14641029. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 139615/14641053. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((((^y.y)(a a)) a)(((^y.y)(a a)) a))((((^y.y)(a a)) a)(((^y.y)(a a)) a))) 4. ==[ alpha ]==> (((((^x.x)(a a)) a)(((^y.y)(a a)) a))((((^z.z)(a a)) a)(((^x1.x1)(a a)) a))) 5. ==[ beta ]==> ((((a a) a)(((^y.y)(a a)) a))((((^z.z)(a a)) a)(((^x1.x1)(a a)) a))) 6. ==[ alpha ]==> ((((a a) a)(((^x.x)(a a)) a))((((^y.y)(a a)) a)(((^z.z)(a a)) a))) 7. ==[ beta ]==> ((((a a) a)((a a) a))((((^y.y)(a a)) a)(((^z.z)(a a)) a))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))((((^x.x)(a a)) a)(((^y.y)(a a)) a))) 9. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)(((^y.y)(a a)) a))) 10. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)(((^x.x)(a a)) a))) 11. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 139616/14641452. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a b))) REDUCED to normal form. ------ 139617/14642133. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139618/14642523. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 139619/14642793. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139620/14642802. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 139621/14643027. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 139622/14643294. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139623/14643468. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^d.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 139624/14643693. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^a.b)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.b)) 3. ==[ beta ]==> (((^y.y) a)(^z.b)) 4. ==[ alpha ]==> (((^x.x) a)(^y.b)) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 139625/14643711. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 139626/14643738. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 139627/14643768. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 139628/14643795. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139629/14643813. ------ 1. ==[ start ]==> ((a b)(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((a b)(((^x.(^y.y)) a) a)) 3. ==[ beta ]==> ((a b)((^y.y) a)) 4. ==[ alpha ]==> ((a b)((^x.x) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 139630/14643903. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139631/14643930. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 139632/14644011. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 139633/14644092. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 139634/14644119. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139635/14644182. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (b (^y.y)))) REDUCED to normal form. ------ 139636/14644209. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 139637/14644236. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((b (^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.y))((b (^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((b (^y.y))(a a))) REDUCED to normal form. ------ 139638/14644344. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)((b a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a a)((b a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a a)((b a)(^y.y))) 6. ==[ alpha ]==> ((a a)((b a)(^x.x))) REDUCED to normal form. ------ 139639/14644425. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)((a b)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)((a b)((^x.x)(a a)))) 5. ==[ beta ]==> ((a b)((a b)(a a))) REDUCED to normal form. ------ 139640/14644452. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 139641/14644479. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(b a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(b a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(b a)) REDUCED to normal form. ------ 139642/14644506. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (a a))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 139643/14644533. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)((^y1.y1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((^x1.x1) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a ((^x1.x1) b))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z) b))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 139644/14644560. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 139645/14644623. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)((b (^y.y))(^z.z))) REDUCED to normal form. ------ 139646/14644650. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 139647/14644677. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) b)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a a))(b (^y.a))) 4. ==[ alpha ]==> (((a (a a))(a a))(b (^x.a))) REDUCED to normal form. ------ 139648/14644704. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 139649/14644713. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139650/14644794. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a b))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 7. ==[ beta ]==> ((^y.(a a))(a b)) 8. ==[ alpha ]==> ((^x.(a a))(a b)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139651/14644875. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139652/14644929. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)((^x1.x1) b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 139653/14645001. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((b (^z.z)) a)) 3. ==[ beta ]==> (((a a)(^y.y))((b (^z.z)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((b (^y.y)) a)) REDUCED to normal form. ------ 139654/14645028. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(a a)) b)) REDUCED to normal form. ------ 139655/14645055. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b) c)) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b) c)) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b) c)) 5. ==[ beta ]==> ((a a)(((^y.y) b) c)) 6. ==[ alpha ]==> ((a a)(((^x.x) b) c)) 7. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 139656/14645172. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139657/14645226. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139658/14645307. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.y))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 139659/14645343. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((a a)(a a)))) REDUCED to normal form. ------ 139660/14645370. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a (b (^z.z)))) 3. ==[ beta ]==> ((a (^y.(y y)))(a (b (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (b (^y.y)))) REDUCED to normal form. ------ 139661/14645397. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 139662/14645424. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) b)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139663/14645451. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 139664/14645640. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.b) a)((a (a a))(b a))) 3. ==[ beta ]==> (b ((a (a a))(b a))) REDUCED to normal form. ------ 139665/14645820. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 139666/14645928. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b)(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)(a b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(a b))) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 139667/14646009. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(y y))(b a))) 3. ==[ beta ]==> (b ((^y.(y y))(b a))) 4. ==[ alpha ]==> (b ((^x.(x x))(b a))) 5. ==[ beta ]==> (b ((b a)(b a))) REDUCED to normal form. ------ 139668/14646036. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 139669/14646054. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 139670/14646108. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a)(a a)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(a a)) a)) 5. ==[ beta ]==> ((a (^y.y))(((a a)(a a)) a)) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(a a)) a)) REDUCED to normal form. ------ 139671/14646135. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) b) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b b)) REDUCED to normal form. ------ 139672/14646252. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139673/14646279. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.b))) 5. ==[ beta ]==> ((^y.b)(^z.b)) 6. ==[ alpha ]==> ((^x.b)(^y.b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 139674/14646333. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139675/14646414. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139676/14646423. ------ 1. ==[ start ]==> (((a b) b)(b ((^a.a) b))) 2. ==[ alpha ]==> (((a b) b)(b ((^x.x) b))) 3. ==[ beta ]==> (((a b) b)(b b)) REDUCED to normal form. ------ 139677/14646450. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(a ((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)(a ((a a)(a a)))) REDUCED to normal form. ------ 139678/14646477. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(b (a a))) REDUCED to normal form. ------ 139679/14646504. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.(^x1.x1)))(a (^y1.y1)))) REDUCED to normal form. ------ 139680/14646558. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z))(a (a a)))) REDUCED to normal form. ------ 139681/14646585. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((^y.y)(a a))((^z.z)(^x1.x1)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 9. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 10. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 11. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 12. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 13. ==[ beta ]==> (((a a)(^x.x))((a a)((^z.z)(^x1.x1)))) 14. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(^z.z)))) 15. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 16. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 139682/14646612. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b)((a a) a))) REDUCED to normal form. ------ 139683/14646639. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(a b))) REDUCED to normal form. ------ 139684/14646666. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a a))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 9. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 139685/14646810. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) b)(^z.z))) 5. ==[ beta ]==> ((a (a a))(((^y.y) b)(^z.z))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) b)(^y.y))) 7. ==[ beta ]==> ((a (a a))(b (^y.y))) 8. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 139686/14646837. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 139687/14646864. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((b a)(^y.a))) REDUCED to normal form. ------ 139688/14646891. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 139689/14646918. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 139690/14646954. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a) a))) 5. ==[ beta ]==> ((^y.b)((a a) a)) 6. ==[ alpha ]==> ((^x.b)((a a) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 139691/14647089. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139692/14647170. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 139693/14647251. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 139694/14647332. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139695/14647458. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 139696/14647485. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (a b))((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 139697/14647764. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (^z.z))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (^z.z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.z))) 5. ==[ beta ]==> (b (a (^z.z))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 139698/14647845. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139699/14647953. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 139700/14647980. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 139701/14648034. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(b a))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 139702/14648376. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 139703/14648502. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139704/14648601. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(c (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(c (^x.(^y.y)))) REDUCED to normal form. ------ 139705/14648817. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 139706/14648844. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(z z))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 5. ==[ beta ]==> ((^y.(y y))(a b)) 6. ==[ alpha ]==> ((^x.(x x))(a b)) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 139707/14648898. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((a a)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((a a)(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 139708/14648979. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139709/14649087. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139710/14649114. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a (^x.x))((^z.b)(^z.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 139711/14649240. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a b)((^y.(^z.z)) b)) 6. ==[ alpha ]==> ((a b)((^x.(^y.y)) b)) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 139712/14649267. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a)) c)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 139713/14649393. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139714/14649438. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 139715/14649600. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139716/14649708. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)((a a)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)((a a)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139717/14649762. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 139718/14649789. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.b)(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 139719/14649843. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 139720/14649906. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c (a b))) REDUCED to normal form. ------ 139721/14649924. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139722/14649933. ------ 1. ==[ start ]==> (((a b)(^c.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(b (a a))) REDUCED to normal form. ------ 139723/14649960. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 139724/14649987. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(a a))) REDUCED to normal form. ------ 139725/14650041. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((a a) a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((a a) a) a)) REDUCED to normal form. ------ 139726/14650068. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(a (a a)))) 7. ==[ beta ]==> ((b (^x.x))(a (a a))) REDUCED to normal form. ------ 139727/14650212. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.z))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.z))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.y))) 9. ==[ beta ]==> ((a a)((a a)(^y.y))) 10. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 139728/14650239. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 139729/14650266. ------ 1. ==[ start ]==> (((a b)((a a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 139730/14650293. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(z z)))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.(z z))) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 139731/14650320. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 139732/14650374. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.x1))(^y1.b))) REDUCED to normal form. ------ 139733/14650401. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a a)(^y.(a a)))) 3. ==[ beta ]==> ((b (a a))((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((b (a a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 139734/14650428. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x)(a a)) a)) 3. ==[ beta ]==> ((a ((a a)(a a)))((a a) a)) REDUCED to normal form. ------ 139735/14650464. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 139736/14650599. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139737/14650743. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (a a))(a (a a)))) 3. ==[ beta ]==> ((b b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 139738/14650770. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a)) a)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a)(a a)) a)(a (^y.y))) 6. ==[ alpha ]==> ((((a a)(a a)) a)(a (^x.x))) REDUCED to normal form. ------ 139739/14650815. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(b (^x1.b))) 3. ==[ beta ]==> ((^y.y)(b (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 139740/14650824. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(a b))) REDUCED to normal form. ------ 139741/14650869. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.b)(a a))) 3. ==[ beta ]==> (((b a)(b a))((^y.b)(a a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.b)(a a))) 5. ==[ beta ]==> (((b a)(b a)) b) REDUCED to normal form. ------ 139742/14650950. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 139743/14651058. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139744/14651238. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.b) a)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.b) a)) 3. ==[ beta ]==> (((a (a a))(b a)) b) REDUCED to normal form. ------ 139745/14651292. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y)) c)) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 139746/14651427. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a) a)(^z.z))) REDUCED to normal form. ------ 139747/14651454. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (a (^x.x)))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b (a (^x.x)))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 139748/14651481. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (a a))(^x.a))) REDUCED to normal form. ------ 139749/14651508. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (b (^x.x)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (b (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 139750/14651679. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 139751/14651823. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((b c)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((b c)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((b c)(a ((^y.y) a))) 6. ==[ alpha ]==> ((b c)(a ((^x.x) a))) 7. ==[ beta ]==> ((b c)(a a)) REDUCED to normal form. ------ 139752/14651850. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 139753/14651895. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a (^c.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(a (^z.a))) 3. ==[ beta ]==> ((b (^y.y))(a (^z.a))) 4. ==[ alpha ]==> ((b (^x.x))(a (^y.a))) REDUCED to normal form. ------ 139754/14651922. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139755/14651976. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.a)((^z1.z1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 139756/14652057. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139757/14652165. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139758/14652174. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^x1.x1))) REDUCED to normal form. ------ 139759/14652201. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (a a))(a a))) 3. ==[ beta ]==> ((b (^y.a))((a (a a))(a a))) 4. ==[ alpha ]==> ((b (^x.a))((a (a a))(a a))) REDUCED to normal form. ------ 139760/14652228. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 139761/14652318. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (a a))(^y.y))) REDUCED to normal form. ------ 139762/14652345. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 139763/14652372. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 139764/14652399. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(b a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(b a))((a a)(^y.(y y)))) 5. ==[ beta ]==> ((b a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((b a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 139765/14652426. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 139766/14652453. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a b)(a a))(((^y.y) a) b)) 4. ==[ alpha ]==> (((a b)(a a))(((^x.x) a) b)) 5. ==[ beta ]==> (((a b)(a a))(a b)) REDUCED to normal form. ------ 139767/14652480. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (^y.y)) c)) 3. ==[ beta ]==> (((a a)(a b))((a (^y.y)) c)) 4. ==[ alpha ]==> (((a a)(a b))((a (^x.x)) c)) REDUCED to normal form. ------ 139768/14652561. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a))) a) REDUCED to normal form. ------ 139769/14652588. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((b a)((^y.(^z.z)) c)) 6. ==[ alpha ]==> ((b a)((^x.(^y.y)) c)) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 139770/14652669. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 139771/14652759. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139772/14652840. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 139773/14652948. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.y2))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(^y2.y2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139774/14653065. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(a b)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(a b)) 3. ==[ beta ]==> (((^y.y) a)(a b)) 4. ==[ alpha ]==> (((^x.x) a)(a b)) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 139775/14653083. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139776/14653110. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 139777/14662485. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a))) c) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z))) c) 3. ==[ beta ]==> ((^y.y) c) 4. ==[ alpha ]==> ((^x.x) c) 5. ==[ beta ]==> c REDUCED to normal form. ------ 139778/14662557. ------ 1. ==[ start ]==> (((a a) a)(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a) a)(^x.((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a) a)(^x.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 139779/14662599. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b (^x1.x1)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 139780/14663103. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((b a)((^y.y)(^z.z)))(((b a)((^y.y)(^z.z)))((b a)((^y.y)(^z.z))))) 4. ==[ alpha ]==> (((b a)((^x.x)(^y.y)))(((b a)((^z.z)(^x1.x1)))((b a)((^y1.y1)(^z1.z1))))) 5. ==[ beta ]==> (((b a)(^y.y))(((b a)((^z.z)(^x1.x1)))((b a)((^y1.y1)(^z1.z1))))) 6. ==[ alpha ]==> (((b a)(^x.x))(((b a)((^y.y)(^z.z)))((b a)((^x1.x1)(^y1.y1))))) 7. ==[ beta ]==> (((b a)(^x.x))(((b a)(^z.z))((b a)((^x1.x1)(^y1.y1))))) 8. ==[ alpha ]==> (((b a)(^x.x))(((b a)(^y.y))((b a)((^z.z)(^x1.x1))))) 9. ==[ beta ]==> (((b a)(^x.x))(((b a)(^y.y))((b a)(^x1.x1)))) 10. ==[ alpha ]==> (((b a)(^x.x))(((b a)(^y.y))((b a)(^z.z)))) REDUCED to normal form. ------ 139781/14664399. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.(x b))((a (a a))(b a))) 3. ==[ beta ]==> (((a (a a))(b a)) b) REDUCED to normal form. ------ 139782/14664786. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.((((^z.z) a)(^x1.(^y1.(^z1.z1))))(((^z.z) a)(^x1.(^y1.(^z1.z1)))))) 4. ==[ alpha ]==> (^x.((((^y.y) a)(^z.(^x1.(^y1.y1))))(((^z1.z1) a)(^x2.(^y2.(^z2.z2)))))) 5. ==[ beta ]==> (^x.((a (^z.(^x1.(^y1.y1))))(((^z1.z1) a)(^x2.(^y2.(^z2.z2)))))) 6. ==[ alpha ]==> (^x.((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.(^y2.y2)))))) 7. ==[ beta ]==> (^x.((a (^y.(^z.(^x1.x1))))(a (^z1.(^x2.(^y2.y2)))))) 8. ==[ alpha ]==> (^x.((a (^y.(^z.(^x1.x1))))(a (^y1.(^z1.(^x2.x2)))))) REDUCED to normal form. ------ 139783/14665203. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 139784/14665878. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x)(a a)) b)(^z.z)) 4. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.y)) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 139785/14666211. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^y.b)) REDUCED to normal form. ------ 139786/14666424. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (a a))((^y.y)(a a)))) 3. ==[ eta ]==> (b ((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 139787/14667129. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 139788/14667261. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)((^x1.x1)(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 139789/14667687. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(x1 a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(x1 a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(z a))) 5. ==[ beta ]==> ((^y.b)(^z.(z a))) 6. ==[ alpha ]==> ((^x.b)(^y.(y a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 139790/14667966. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(b y))) 3. ==[ eta ]==> (((a (a a))((^x.x)(a a))) b) 4. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 139791/14668179. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 139792/14668470. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 139793/14668713. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 139794/14669604. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(^z1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(^z1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(x1 x1)))) REDUCED to normal form. ------ 139795/14669991. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.(a b))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(x b))) REDUCED to normal form. ------ 139796/14670927. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 139797/14671044. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 139798/14671818. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^b.(a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.(a a))) 3. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 139799/14671863. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.a)) 3. ==[ beta ]==> ((^y.y)(^x1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 139800/14671911. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> (a ((^y.(^z.z))(b (^x1.x1)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(b (^z.z)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 139801/14671938. ------ 1. ==[ start ]==> (((a a) a)((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a) a)((^x.x)((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 139802/14671956. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> ((a a)(((^y.(^z.z)) a) a)) 4. ==[ alpha ]==> ((a a)(((^x.(^y.y)) a) a)) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 139803/14671983. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b (^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b (^z.z)) b)) REDUCED to normal form. ------ 139804/14672046. ------ 1. ==[ start ]==> (((a a) b)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a a) b)(^y.(y y))) 4. ==[ alpha ]==> (((a a) b)(^x.(x x))) REDUCED to normal form. ------ 139805/14672073. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 139806/14672181. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 139807/14672262. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 139808/14672289. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 139809/14672406. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a) a)(((a a)(a a))(a (^y.y)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 139810/14672433. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b a)) REDUCED to normal form. ------ 139811/14672460. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 139812/14672487. ------ 1. ==[ start ]==> ((a (a (a a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((b a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (a (a a)))((b a)(^y.y))) 4. ==[ alpha ]==> ((a (a (a a)))((b a)(^x.x))) REDUCED to normal form. ------ 139813/14672730. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a a)(b (^x.x)))) REDUCED to normal form. ------ 139814/14672802. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((b b)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 139815/14672847. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139816/14672874. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 139817/14672928. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.b))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 9. ==[ beta ]==> ((a a)(^y.b)) 10. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 139818/14672937. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))(a b))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 139819/14672964. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> (a ((^y.b)((^z.z)(a a)))) 6. ==[ alpha ]==> (a ((^x.b)((^y.y)(a a)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 139820/14672991. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 139821/14673018. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 139822/14673045. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.a))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 139823/14673063. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 139824/14673072. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 139825/14673099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139826/14673423. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 139827/14673477. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 139828/14673621. ------ 1. ==[ start ]==> (((a a)((a a) a))((b a)(a (a a)))) REDUCED to normal form. ------ 139829/14673648. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 139830/14673675. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> ((a (a (a a)))((a a)((a a) a))) REDUCED to normal form. ------ 139831/14673702. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a b)(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a b)(a b))) 3. ==[ beta ]==> (((a (a a)) a)((a b)(a b))) REDUCED to normal form. ------ 139832/14673729. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 139833/14673756. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)(a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((((a a) a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 139834/14673783. ------ 1. ==[ start ]==> ((a (a b))((a (a a))(b a))) REDUCED to normal form. ------ 139835/14673936. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) b)(a (^y.y))) 4. ==[ alpha ]==> ((((a a) a) b)(a (^x.x))) REDUCED to normal form. ------ 139836/14673954. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 139837/14673963. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 139838/14673981. ------ 1. ==[ start ]==> (((^a.a)(a b))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((b a)(^y.(y y)))) 3. ==[ beta ]==> ((a b)((b a)(^y.(y y)))) 4. ==[ alpha ]==> ((a b)((b a)(^x.(x x)))) REDUCED to normal form. ------ 139839/14674008. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 139840/14674044. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 139841/14674062. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a b)(^y.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b)(^y.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(^x.b))) REDUCED to normal form. ------ 139842/14674071. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 139843/14674098. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.a)((^z.z)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 139844/14674125. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 139845/14674152. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a b)(^x.x))((b a)(b a))) REDUCED to normal form. ------ 139846/14674170. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 139847/14674557. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 139848/14674629. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z) b)) 3. ==[ beta ]==> ((^y.y)((^z.z) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 139849/14674836. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 139850/14674863. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (b a))) REDUCED to normal form. ------ 139851/14674890. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 139852/14674917. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a a)((^z.z) b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)((^y.y) b))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a a) b)) REDUCED to normal form. ------ 139853/14674989. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 139854/14675088. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 139855/14675223. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 139856/14675232. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 139857/14675259. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a a) b)((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y) b))) 5. ==[ beta ]==> (((a a) b)((^y.y) b)) 6. ==[ alpha ]==> (((a a) b)((^x.x) b)) 7. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 139858/14675286. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 139859/14675304. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 139860/14675331. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((b a) c)) 3. ==[ beta ]==> ((^y.y)((b a) c)) 4. ==[ alpha ]==> ((^x.x)((b a) c)) 5. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 139861/14675367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 139862/14675421. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139863/14675475. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 139864/14675565. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 139865/14675592. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a ((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a ((^z.z) b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y) b))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a b)) REDUCED to normal form. ------ 139866/14675619. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((a (a b))((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> ((a (a b))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 139867/14675646. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 139868/14675673. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 9. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 10. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 11. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 139869/14675700. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 139870/14675727. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) a)((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b) a)((a b)(^y.y))) 6. ==[ alpha ]==> (((a b) a)((a b)(^x.x))) REDUCED to normal form. ------ 139871/14675754. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 139872/14675781. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(a b))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(a b)) REDUCED to normal form. ------ 139873/14675808. ------ 1. ==[ start ]==> ((a (b a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (b a))((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> ((a (b a))((a (a a))(a a))) REDUCED to normal form. ------ 139874/14675979. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 139875/14676042. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 139876/14676087. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.b))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.b))) 7. ==[ beta ]==> ((b a)(^y.b)) 8. ==[ alpha ]==> ((b a)(^x.b)) REDUCED to normal form. ------ 139877/14676114. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 139878/14676150. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 139879/14676177. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 139880/14676231. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 139881/14676249. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((b a) b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((b a) b)) 3. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 139882/14676285. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 139883/14676312. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 139884/14676456. ------ 1. ==[ start ]==> (((a (a a))(a b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(c ((a a)(^x.x)))) REDUCED to normal form. ------ 139885/14676483. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b (b a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b (b a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b (b a))) 5. ==[ beta ]==> (((a a) a)(b (b a))) REDUCED to normal form. ------ 139886/14676510. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 139887/14676537. ------ 1. ==[ start ]==> (((a b)(a (a a)))((b a)(a a))) REDUCED to normal form. ------ 139888/14676564. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 139889/14676591. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a) a)) REDUCED to normal form. ------ 139890/14676645. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)(^z.z))) REDUCED to normal form. ------ 139891/14676816. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> (b ((b a)(^x1.x1))) 4. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 139892/14676924. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139893/14676960. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 139894/14676978. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (a a))(^z.b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 139895/14677041. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 139896/14677068. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(b a))) 5. ==[ beta ]==> ((^y.b)((^z.z)(b a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(b a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 139897/14677113. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> (b (((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) b)) REDUCED to normal form. ------ 139898/14677122. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 139899/14677149. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 139900/14677176. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 139901/14677230. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 139902/14677293. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(c (a a))) REDUCED to normal form. ------ 139903/14677320. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 139904/14677347. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a (b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a (b a))) 3. ==[ beta ]==> (((a (a a))(a a))(a (b a))) REDUCED to normal form. ------ 139905/14677374. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((^y.y)(a b))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))(((a a)(^y.y))(a a))) 5. ==[ beta ]==> ((a b)(((a a)(^y.y))(a a))) 6. ==[ alpha ]==> ((a b)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 139906/14677401. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 139907/14677428. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^y.y))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a b)((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.x))((a b) a)) REDUCED to normal form. ------ 139908/14677455. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 139909/14677482. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.z))) 9. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 10. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 139910/14677536. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a (a b))) REDUCED to normal form. ------ 139911/14677563. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((a (^x.x))(a a))) REDUCED to normal form. ------ 139912/14677734. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 139913/14677851. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(^z.z))) REDUCED to normal form. ------ 139914/14677878. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 139915/14677896. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (b (((^y.y)(a a)) b)) 6. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 7. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 139916/14677905. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 139917/14677923. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a b) c)) 3. ==[ beta ]==> ((^y.y)((a b) c)) 4. ==[ alpha ]==> ((^x.x)((a b) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 139918/14677932. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.b)(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 139919/14678013. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((^y.(a a))((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(^z.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139920/14678040. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 139921/14678067. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 139922/14678094. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 139923/14678166. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139924/14678238. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) b)((a (a a))(^y.y))) 6. ==[ alpha ]==> (((a a) b)((a (a a))(^x.x))) REDUCED to normal form. ------ 139925/14678265. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a ((a a) a))) REDUCED to normal form. ------ 139926/14678292. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (^y.y))(a b))) 3. ==[ beta ]==> ((a (b a))((a (^y.y))(a b))) 4. ==[ alpha ]==> ((a (b a))((a (^x.x))(a b))) REDUCED to normal form. ------ 139927/14678319. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 139928/14678598. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 139929/14678841. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139930/14678958. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.b))) REDUCED to normal form. ------ 139931/14678985. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a (^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(a a)))) REDUCED to normal form. ------ 139932/14679003. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a b)(^y.y))) 3. ==[ beta ]==> (((b a)(b a))((a b)(^y.y))) 4. ==[ alpha ]==> (((b a)(b a))((a b)(^x.x))) REDUCED to normal form. ------ 139933/14679066. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 139934/14679084. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 139935/14679093. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 139936/14679147. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 139937/14679192. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139938/14679201. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) b) REDUCED to normal form. ------ 139939/14679228. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 139940/14679255. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 139941/14679318. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) b)(c (^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.y))) REDUCED to normal form. ------ 139942/14679345. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b ((a a) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b ((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b ((a a) a))) REDUCED to normal form. ------ 139943/14679372. ------ 1. ==[ start ]==> (((a (a a))(b a))(a (a b))) REDUCED to normal form. ------ 139944/14679399. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a)(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 139945/14679426. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((((a a) a)(a a))(a (^y.y))) 8. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.x))) REDUCED to normal form. ------ 139946/14679453. ------ 1. ==[ start ]==> (((a b)(a b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))((a (a a))((^x.x) a))) 3. ==[ beta ]==> (((a b)(a b))((a (a a)) a)) REDUCED to normal form. ------ 139947/14679480. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (((a a)((a a) a))(a (a (a a)))) REDUCED to normal form. ------ 139948/14679507. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 139949/14679732. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((a a) a) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((a a) a) a)) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139950/14679921. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139951/14679957. ------ 1. ==[ start ]==> ((((^a.a) b) c)(d (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(d (^y.a))) 3. ==[ beta ]==> ((b c)(d (^y.a))) 4. ==[ alpha ]==> ((b c)(d (^x.a))) REDUCED to normal form. ------ 139952/14679984. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(c (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(c (^x.(x x)))) REDUCED to normal form. ------ 139953/14680056. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139954/14680092. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 139955/14680110. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1) a)(^z1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^z1.a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^y1.a))) REDUCED to normal form. ------ 139956/14680119. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 139957/14680191. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 139958/14680200. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 139959/14680227. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.b))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 139960/14680308. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 139961/14680425. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 139962/14680614. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(c (a (^y.y)))) 3. ==[ beta ]==> (((a a)(a b))(c (a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a b))(c (a (^x.x)))) REDUCED to normal form. ------ 139963/14680641. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(b ((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(b a)) REDUCED to normal form. ------ 139964/14680695. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(a (a a))) REDUCED to normal form. ------ 139965/14680722. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b a)((a (^y.y))(a (^z.z)))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 139966/14680749. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a a)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 139967/14680893. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z)) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z)) b)) 5. ==[ beta ]==> ((^y.y)((a (^z.z)) b)) 6. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 7. ==[ beta ]==> ((a (^y.y)) b) 8. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 139968/14680974. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 139969/14681082. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139970/14681199. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.z)(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 5. ==[ beta ]==> (a ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 139971/14681217. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((a a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((a a) a)) 3. ==[ beta ]==> (((^y.(^z.z)) a)((a a) a)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((a a) a)) 5. ==[ beta ]==> ((^y.y)((a a) a)) 6. ==[ alpha ]==> ((^x.x)((a a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 139972/14681244. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 139973/14681270. ------ 1. ==[ start ]==> (^a.((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (^x.((^y.x)((x x)(x x)))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 139974/14681271. ------ 1. ==[ start ]==> (a ((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (a ((^x.a)((a a)(a a)))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 139975/14681328. ------ 1. ==[ start ]==> ((^a.b)(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 139976/14687943. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.((^z.z)(a a)))(^y.((^z.z)(a a))))((^y.((^z.z)(a a)))(^y.((^z.z)(a a))))) 4. ==[ alpha ]==> (((^x.((^y.y)(a a)))(^z.((^x1.x1)(a a))))((^y1.((^z1.z1)(a a)))(^x2.((^y2.y2)(a a))))) 5. ==[ beta ]==> (((^y.y)(a a))((^y1.((^z1.z1)(a a)))(^x2.((^y2.y2)(a a))))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.((^z.z)(a a)))(^x1.((^y1.y1)(a a))))) 7. ==[ beta ]==> ((a a)((^y.((^z.z)(a a)))(^x1.((^y1.y1)(a a))))) 8. ==[ alpha ]==> ((a a)((^x.((^y.y)(a a)))(^z.((^x1.x1)(a a))))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 139977/14690661. ------ 1. ==[ start ]==> ((^a.a)((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.a)((a a)(a a))) 4. ==[ alpha ]==> ((^x.a)((a a)(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 139978/14690688. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(b (^x1.x1)))((^y.(^z.z))(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.(^y1.y1))(b (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b (^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139979/14690715. ------ 1. ==[ start ]==> ((^a.b)((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.b)((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 139980/14690718. ------ 1. ==[ start ]==> ((a b)(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a b)(^x.((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a b)(^x.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 139981/14691156. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b (^z.z))(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 139982/14691480. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 139983/14691606. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 139984/14691906. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 139985/14692293. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(b (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(b (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(b (^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(b (^z.z)))) 8. ==[ alpha ]==> ((a a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 139986/14692371. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 139987/14693013. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((a a)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((a a)(a a)))) REDUCED to normal form. ------ 139988/14693373. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((z z)(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((z z)(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((y y)(y y)))) 5. ==[ beta ]==> ((a a)(^y.((y y)(y y)))) 6. ==[ alpha ]==> ((a a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 139989/14694030. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.z))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 139990/14694363. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 139991/14694669. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^z.(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 139992/14695281. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 139993/14695839. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(^d.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 139994/14696331. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c (^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c (^z.(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 139995/14696622. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 139996/14697330. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((((^y.y)((^z.z)(a a)))((^y.y)((^z.z)(a a))))(((^y.y)((^z.z)(a a)))((^y.y)((^z.z)(a a))))) 4. ==[ alpha ]==> ((((^x.x)((^y.y)(a a)))((^z.z)((^x1.x1)(a a))))(((^y1.y1)((^z1.z1)(a a)))((^x2.x2)((^y2.y2)(a a))))) 5. ==[ beta ]==> ((((^y.y)(a a))((^z.z)((^x1.x1)(a a))))(((^y1.y1)((^z1.z1)(a a)))((^x2.x2)((^y2.y2)(a a))))) 6. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)((^z.z)(a a))))(((^x1.x1)((^y1.y1)(a a)))((^z1.z1)((^x2.x2)(a a))))) 7. ==[ beta ]==> (((a a)((^y.y)((^z.z)(a a))))(((^x1.x1)((^y1.y1)(a a)))((^z1.z1)((^x2.x2)(a a))))) 8. ==[ alpha ]==> (((a a)((^x.x)((^y.y)(a a))))(((^z.z)((^x1.x1)(a a)))((^y1.y1)((^z1.z1)(a a))))) 9. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)((^x1.x1)(a a)))((^y1.y1)((^z1.z1)(a a))))) 10. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)((^z.z)(a a)))((^x1.x1)((^y1.y1)(a a))))) 11. ==[ beta ]==> (((a a)(a a))(((^y.y)((^z.z)(a a)))((^x1.x1)((^y1.y1)(a a))))) 12. ==[ alpha ]==> (((a a)(a a))(((^x.x)((^y.y)(a a)))((^z.z)((^x1.x1)(a a))))) 13. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^z.z)((^x1.x1)(a a))))) 14. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y)((^z.z)(a a))))) 15. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)((^z.z)(a a))))) 16. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)((^y.y)(a a))))) 17. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 18. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 19. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 139997/14697333. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^x.(a a))) REDUCED to normal form. ------ 139998/14698143. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.x))) REDUCED to normal form. ------ 139999/14698332. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(^y1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.b))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.b))) REDUCED to normal form. ------ 140000/14698410. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 140001/14698800. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 140002/14699223. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 140003/14699331. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 140004/14699571. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.a)(a a))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140005/14699853. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140006/14699988. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^a.b)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.b)) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.b)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.b)) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 140007/14700015. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 140008/14700054. ------ 1. ==[ start ]==> ((a a)((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a a)((^x.a)((a a)(a a)))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 140009/14700081. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(b (^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 140010/14700108. ------ 1. ==[ start ]==> ((a b)((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a b)((^x.x)((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 140011/14700126. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 140012/14700153. ------ 1. ==[ start ]==> (((^a.a) b)((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x) b)((b (^y.y)) b)) 3. ==[ beta ]==> (b ((b (^y.y)) b)) 4. ==[ alpha ]==> (b ((b (^x.x)) b)) REDUCED to normal form. ------ 140013/14700324. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 140014/14700351. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 140015/14700495. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(b (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (b (^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 140016/14700549. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((b (^y.y))(a a))) REDUCED to normal form. ------ 140017/14700657. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((b a)((^y.y)(^z.z)))((b a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((b a)((^x.x)(^y.y)))((b a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((b a)(^y.y))((b a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((b a)(^x.x))((b a)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((b a)(^x.x))((b a)(^z.z))) 10. ==[ alpha ]==> (((b a)(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 140018/14700684. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 140019/14700738. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)((a b)((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 7. ==[ beta ]==> ((a b)((^y.y)(a a))) 8. ==[ alpha ]==> ((a b)((^x.x)(a a))) 9. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 140020/14700765. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 140021/14700792. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140022/14700846. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^z.z) b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y) b))) 5. ==[ beta ]==> (((a a)(a a))(a ((^y.y) b))) 6. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) b))) 7. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 140023/14700873. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((a a)(a a)))) REDUCED to normal form. ------ 140024/14700963. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((b b)(((a a)(a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 140025/14700999. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 140026/14701098. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a))(^y.b))) 3. ==[ beta ]==> (((a (a a)) b)((a a)(^y.b))) 4. ==[ alpha ]==> (((a (a a)) b)((a a)(^x.b))) REDUCED to normal form. ------ 140027/14701125. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a b)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(^y.(a a)))) 5. ==[ beta ]==> (a ((a b)(^y.(a a)))) 6. ==[ alpha ]==> (a ((a b)(^x.(a a)))) REDUCED to normal form. ------ 140028/14701152. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 140029/14701206. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.a))((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 140030/14701233. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 140031/14701296. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(b (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(b (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 140032/14701377. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.a)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 140033/14701404. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 140034/14701683. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a (b (^z.z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a (b (^z.z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a (b (^z.z)))) 5. ==[ beta ]==> ((a ((^y.y) a))(a (b (^z.z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(a (b (^y.y)))) 7. ==[ beta ]==> ((a a)(a (b (^y.y)))) 8. ==[ alpha ]==> ((a a)(a (b (^x.x)))) REDUCED to normal form. ------ 140035/14701746. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y) c)) 3. ==[ beta ]==> ((((a a) a)(^x.x)) c) REDUCED to normal form. ------ 140036/14701764. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.b))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 140037/14701953. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(b a))) 3. ==[ beta ]==> ((^y.b)((a (a a))(b a))) 4. ==[ alpha ]==> ((^x.b)((a (a a))(b a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 140038/14702034. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)((a a)(a a)))) IRREDUCIBLE: cycle. ------ 140039/14702097. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 140040/14702124. ------ 1. ==[ start ]==> (((a b) a)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a b) a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 140041/14702151. ------ 1. ==[ start ]==> (((a a)(^a.b))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((b a)(^y.(y y)))) REDUCED to normal form. ------ 140042/14702205. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 140043/14702232. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b)(^y.b))) REDUCED to normal form. ------ 140044/14702259. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(((a a) a)(^z.(a a)))) 6. ==[ alpha ]==> ((^x.a)(((a a) a)(^y.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 140045/14702349. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 140046/14702376. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 140047/14702403. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)((a a)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 140048/14702457. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 140049/14702484. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 140050/14702709. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (c (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (c (a (^x.(^y.y))))) REDUCED to normal form. ------ 140051/14702763. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(a ((a a)(a a)))) 5. ==[ beta ]==> ((a a)(a ((a a)(a a)))) REDUCED to normal form. ------ 140052/14702772. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 140053/14702790. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a a))) 5. ==[ beta ]==> (((^y.y) b)(a a)) 6. ==[ alpha ]==> (((^x.x) b)(a a)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 140054/14702799. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 140055/14702844. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((b a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a)((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a)((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)((^x1.x1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((b a)((^x1.x1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((b a)((^z.z) a))) 9. ==[ beta ]==> ((^y.y)((b a)((^z.z) a))) 10. ==[ alpha ]==> ((^x.x)((b a)((^y.y) a))) 11. ==[ beta ]==> ((b a)((^y.y) a)) 12. ==[ alpha ]==> ((b a)((^x.x) a)) 13. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 140056/14702925. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a b)((a a) a))) 3. ==[ beta ]==> (b ((a b)((a a) a))) REDUCED to normal form. ------ 140057/14703078. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b (^z.z))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.y))) REDUCED to normal form. ------ 140058/14703132. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a a))) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 140059/14703150. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 140060/14703159. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 140061/14703393. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 140062/14703420. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a)(^y.y))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.y))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.x))) REDUCED to normal form. ------ 140063/14703447. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) b) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b a)) REDUCED to normal form. ------ 140064/14703501. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((b a) c)) REDUCED to normal form. ------ 140065/14703726. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 140066/14703753. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 140067/14704059. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b ((a a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (b ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 140068/14704203. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 140069/14704311. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 140070/14704392. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 140071/14704419. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((b a) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((b a) b)) REDUCED to normal form. ------ 140072/14704446. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a)(^z.z)) c)) 3. ==[ beta ]==> (((a a)(^y.a))(((a a)(^z.z)) c)) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 140073/14704536. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 140074/14704563. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 140075/14704590. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(a a)))) 7. ==[ beta ]==> ((a (a a))((^y.(a a))(^y.(a a)))) 8. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(a a)))) 9. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 140076/14704617. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 140077/14704671. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 140078/14704815. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140079/14704896. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a a)(((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)(a ((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)(a ((^x.x)(a a)))) 9. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 140080/14705094. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 140081/14705202. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 140082/14705283. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 140083/14705427. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 140084/14705454. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 140085/14705724. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c (^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c (^y.(a a)))) 3. ==[ beta ]==> ((a b)(c (^y.(a a)))) 4. ==[ alpha ]==> ((a b)(c (^x.(a a)))) REDUCED to normal form. ------ 140086/14705733. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 140087/14705760. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a a)((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 140088/14706012. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 140089/14706039. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)(((a a)(^y.y)) a)) 3. ==[ beta ]==> ((b a)(((a a)(^y.y)) a)) 4. ==[ alpha ]==> ((b a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 140090/14706066. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 140091/14706093. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a b) c)) REDUCED to normal form. ------ 140092/14706219. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c (a b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 140093/14706327. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140094/14706336. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.b) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 140095/14706363. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a) d)) 3. ==[ beta ]==> ((b (^y.y))((^z.a) d)) 4. ==[ alpha ]==> ((b (^x.x))((^y.a) d)) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 140096/14706453. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c (^y.b))) 3. ==[ beta ]==> ((a (b a))(c (^y.b))) 4. ==[ alpha ]==> ((a (b a))(c (^x.b))) REDUCED to normal form. ------ 140097/14706480. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(b (^y.(a a)))) REDUCED to normal form. ------ 140098/14706534. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(a b))(a a)) REDUCED to normal form. ------ 140099/14706561. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a b)((a a) a)) b) REDUCED to normal form. ------ 140100/14706615. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 140101/14706669. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 140102/14706696. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 140103/14706723. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.y)(a a))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(a a))) 5. ==[ beta ]==> ((a ((a a)(a a)))(a a)) REDUCED to normal form. ------ 140104/14706894. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 140105/14707002. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((a a) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140106/14707083. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 140107/14707110. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a a) a)) 6. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 140108/14707227. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.a)) 6. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 140109/14707254. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 140110/14707308. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 140111/14707362. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a b) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a b) a)) REDUCED to normal form. ------ 140112/14707389. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((a a) a) b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 140113/14707452. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 140114/14707479. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 140115/14707533. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(^y.b))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.b)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.b)) REDUCED to normal form. ------ 140116/14707722. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a (^x1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.b))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.b))) REDUCED to normal form. ------ 140117/14707749. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a)(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)(a a))) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 140118/14707776. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 140119/14707803. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a (b (^x.x)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (b (^x.x)))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (b (^x.x)))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (b (^x.x)))(a a)) REDUCED to normal form. ------ 140120/14708082. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1)(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140121/14708118. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(y y)) c)) 3. ==[ beta ]==> ((b c)((^y.(y y)) c)) 4. ==[ alpha ]==> ((b c)((^x.(x x)) c)) 5. ==[ beta ]==> ((b c)(c c)) REDUCED to normal form. ------ 140122/14708190. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((b (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 140123/14708253. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 140124/14708280. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^y1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^x1.a))) REDUCED to normal form. ------ 140125/14708361. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.(a a)))((^z.z) a)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y) a)) 5. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 140126/14708388. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (a a)) b)) 3. ==[ beta ]==> (((a a)(^y.b))((a (a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.b))((a (a a)) b)) REDUCED to normal form. ------ 140127/14708460. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(b (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140128/14708496. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 140129/14708523. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 140130/14708586. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 140131/14708613. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 140132/14708640. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a b)((^y.(y y))(a a))) 6. ==[ alpha ]==> ((a b)((^x.(x x))(a a))) 7. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 140133/14708667. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 140134/14708694. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 140135/14708721. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 140136/14708748. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a b)(a a))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((a b)(a a))((^y.y)(^y.y))) 6. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a b)(a a))(^y.y)) 8. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 140137/14708775. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 140138/14708802. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 140139/14708883. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(c (^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(c (^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)(c (^x.(^y.y)))) REDUCED to normal form. ------ 140140/14708910. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 140141/14708964. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.a)(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 140142/14709054. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(c (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(c (a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(c (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(c (a a))) 5. ==[ beta ]==> ((^y.y)(c (a a))) 6. ==[ alpha ]==> ((^x.x)(c (a a))) 7. ==[ beta ]==> (c (a a)) REDUCED to normal form. ------ 140143/14709135. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (b ((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 140144/14709243. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a c)) 3. ==[ beta ]==> ((^y.(^z.z))(a c)) 4. ==[ alpha ]==> ((^x.(^y.y))(a c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140145/14709360. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((a a)(^z.z))) 3. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 140146/14709378. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(a b)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(a b)) 3. ==[ beta ]==> (((^y.(^z.z)) a)(a b)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(a b)) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 140147/14709405. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(a (a a))) 3. ==[ beta ]==> ((^y.y)(a (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 140148/14718849. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140149/14718906. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a a)(^y.((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((a a)(^x.((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a a)(^x.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 140150/14719092. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140151/14719320. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 140152/14719659. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140153/14719785. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140154/14720481. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(b (^z.z)))) REDUCED to normal form. ------ 140155/14721117. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(b a))) 3. ==[ beta ]==> (^y.(((^z.(z z))(b a))((^z.(z z))(b a)))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(b a))((^z.(z z))(b a)))) 5. ==[ beta ]==> (^x.(((b a)(b a))((^z.(z z))(b a)))) 6. ==[ alpha ]==> (^x.(((b a)(b a))((^y.(y y))(b a)))) 7. ==[ beta ]==> (^x.(((b a)(b a))((b a)(b a)))) REDUCED to normal form. ------ 140156/14721552. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 140157/14721561. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((y y)(y y)))) REDUCED to normal form. ------ 140158/14721999. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((((a a)(^z.z))(^x1.(x1 x1)))(((a a)(^z.z))(^x1.(x1 x1))))(^y.y)) 4. ==[ alpha ]==> (((((a a)(^x.x))(^y.(y y)))(((a a)(^z.z))(^x1.(x1 x1))))(^y1.y1)) REDUCED to normal form. ------ 140159/14723304. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 140160/14723766. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 140161/14724195. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140162/14725071. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 140163/14725509. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a)(^y.(a a)))((a a)(^y.(a a))))(((a a)(^y.(a a)))((a a)(^y.(a a))))) 4. ==[ alpha ]==> ((((a a)(^x.(a a)))((a a)(^y.(a a))))(((a a)(^z.(a a)))((a a)(^x1.(a a))))) REDUCED to normal form. ------ 140164/14725953. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 140165/14726142. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(a y1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))((^x1.x1) a)) a) 4. ==[ beta ]==> ((^y.(^z.z)) a) 5. ==[ alpha ]==> ((^x.(^y.y)) a) 6. ==[ beta ]==> (^y.y) 7. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140166/14726589. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 140167/14726682. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.((a a) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140168/14727141. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 140169/14727285. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.a))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 140170/14727750. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(((^x1.x1) a)(^y1.y1))) 3. ==[ eta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140171/14728032. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140172/14728167. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.(a a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.(a a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(a a))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 140173/14728194. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140174/14728251. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 140175/14728278. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140176/14728305. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a a)((^y.y)((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 140177/14728350. ------ 1. ==[ start ]==> (((a a)(a a))((b (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a a))((b (^x.x)) b)) REDUCED to normal form. ------ 140178/14728413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 140179/14728440. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 140180/14728494. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 140181/14728575. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(^d.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 140182/14728602. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.(^z2.z2))))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.(^z2.z2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140183/14728656. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (a ((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140184/14728665. ------ 1. ==[ start ]==> (((a a)(^b.a))(c ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(c ((a a)(a a)))) REDUCED to normal form. ------ 140185/14728692. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (b (^x1.x1)))) REDUCED to normal form. ------ 140186/14728719. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (^y.y))(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 140187/14728827. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 140188/14728908. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(a a))(a b))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(a b))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(a b))) 5. ==[ beta ]==> ((a b)((a a)(a b))) REDUCED to normal form. ------ 140189/14728935. ------ 1. ==[ start ]==> (((a (a a)) a)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a b)((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((a b)(a a))) REDUCED to normal form. ------ 140190/14728962. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 140191/14728989. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(b a))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(b a)) REDUCED to normal form. ------ 140192/14729016. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 140193/14729043. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a ((^z.z) b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.y) b))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a b)) REDUCED to normal form. ------ 140194/14729061. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.(a a)))) REDUCED to normal form. ------ 140195/14729133. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a (^y.y)))((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 140196/14729160. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 140197/14729187. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(b (^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 140198/14729196. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140199/14729223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.(^z1.z1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140200/14729331. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 140201/14729412. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^x1.(^y1.y1)))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1)))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 140202/14729511. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((b (^y.y)) a)) REDUCED to normal form. ------ 140203/14729538. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(a a)) b)) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(a a)) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a)) b)) 5. ==[ beta ]==> ((a a)(((a a)(a a)) b)) REDUCED to normal form. ------ 140204/14729565. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) b) c)) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(b c)) REDUCED to normal form. ------ 140205/14729655. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140206/14729709. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)(^x1.(a a)))) 5. ==[ beta ]==> (a ((^z.b)(^x1.(a a)))) 6. ==[ alpha ]==> (a ((^x.b)(^y.(a a)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 140207/14729790. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 140208/14729817. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 140209/14729826. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c ((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(c b)) REDUCED to normal form. ------ 140210/14729853. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(b ((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b ((a a)(a a)))) REDUCED to normal form. ------ 140211/14729880. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (b (^y.y)))) REDUCED to normal form. ------ 140212/14729907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140213/14729934. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(b (a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 140214/14730123. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 140215/14730222. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.(a a)))) IRREDUCIBLE: cycle. ------ 140216/14730303. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 140217/14730330. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 140218/14730411. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a))((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))((a a) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 140219/14730492. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 140220/14730519. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(b a))) 3. ==[ beta ]==> ((a (^x.(a a)))((b a)(b a))) REDUCED to normal form. ------ 140221/14730537. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a b))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a b))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 140222/14730564. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 140223/14730618. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a)(a a)) a)) REDUCED to normal form. ------ 140224/14730645. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) b) b)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) b) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) b) b)) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) b) b)) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) b) b)) 7. ==[ beta ]==> (a (((^y.y) b) b)) 8. ==[ alpha ]==> (a (((^x.x) b) b)) 9. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 140225/14730735. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140226/14730762. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140227/14730816. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 7. ==[ beta ]==> ((^y.a)(^z.(a a))) 8. ==[ alpha ]==> ((^x.a)(^y.(a a))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 140228/14730897. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140229/14730906. ------ 1. ==[ start ]==> (((a b) b)(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)(c (a (^x.(^y.y))))) REDUCED to normal form. ------ 140230/14730933. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b ((^y.y) b))) 3. ==[ beta ]==> (((a a) a)(b ((^y.y) b))) 4. ==[ alpha ]==> (((a a) a)(b ((^x.x) b))) 5. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 140231/14730960. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a ((a a)(a a)))) REDUCED to normal form. ------ 140232/14730987. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(b (a a))) REDUCED to normal form. ------ 140233/14731041. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 140234/14731068. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(a (a a)))) 7. ==[ beta ]==> ((((a a)(^y.y))(a (a a)))(((a a)(^y.y))(a (a a)))) 8. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 140235/14731095. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.a))((a a)(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 140236/14731122. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)((a a) a))) REDUCED to normal form. ------ 140237/14731149. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a) a)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a b))) REDUCED to normal form. ------ 140238/14731320. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) b)(^y.y))) 5. ==[ beta ]==> ((((a a) a) a)(b (^y.y))) 6. ==[ alpha ]==> ((((a a) a) a)(b (^x.x))) REDUCED to normal form. ------ 140239/14731347. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 140240/14731374. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((b a)(^y.a))) 3. ==[ beta ]==> (((a a)(a a))((b a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))((b a)(^x.a))) REDUCED to normal form. ------ 140241/14731401. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 140242/14731437. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140243/14731572. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(b a))) 3. ==[ beta ]==> (b ((^z.a)(b a))) 4. ==[ alpha ]==> (b ((^x.a)(b a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140244/14731653. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 140245/14731680. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140246/14731815. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(^x1.b))) 3. ==[ beta ]==> (b ((^z.a)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140247/14731968. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y) a)) 3. ==[ beta ]==> ((a (a b))((^y.y) a)) 4. ==[ alpha ]==> ((a (a b))((^x.x) a)) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 140248/14731995. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 140249/14732247. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (b (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 140250/14732436. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)((a a) a))) 3. ==[ beta ]==> ((b a)((^y.a)((a a) a))) 4. ==[ alpha ]==> ((b a)((^x.a)((a a) a))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 140251/14732463. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140252/14732517. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 140253/14732598. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 140254/14732706. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 140255/14732886. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 140256/14732985. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140257/14733165. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 140258/14733273. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140259/14733327. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140260/14733381. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y)(a a)))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 140261/14733597. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 140262/14733777. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(a a)) c)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a)) c)) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 140263/14733876. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140264/14733921. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(c (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(a a)))) 5. ==[ beta ]==> (c (^y.(a a))) 6. ==[ alpha ]==> (c (^x.(a a))) REDUCED to normal form. ------ 140265/14733948. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b (^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(b (^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 140266/14734083. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(a (a a)))) 3. ==[ beta ]==> (b ((^z.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140267/14734191. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))((^y2.y2)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140268/14734245. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 140269/14734272. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140270/14734407. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)(^z.b))) 3. ==[ beta ]==> (b ((^y.a)(^z.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140271/14734416. ------ 1. ==[ start ]==> (((a b)(^c.a))(c (a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (a b))) REDUCED to normal form. ------ 140272/14734443. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 140273/14734470. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 140274/14734524. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a b)(a (^y1.y1)))) REDUCED to normal form. ------ 140275/14734551. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((b (^y.y))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((b (^x.x))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> ((b (^x.x))(((a a) a) a)) REDUCED to normal form. ------ 140276/14734722. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a b))((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 140277/14734749. ------ 1. ==[ start ]==> (((a b)((a a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 140278/14734776. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a)(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 140279/14734803. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.(z z))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.(y y))) REDUCED to normal form. ------ 140280/14734884. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((b (a a))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((b (a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 140281/14734911. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a a)(^x.(a a)))) REDUCED to normal form. ------ 140282/14734947. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140283/14735082. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140284/14735226. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b b)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((b b)((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((b b)((^y.y) a)) 8. ==[ alpha ]==> ((b b)((^x.x) a)) 9. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 140285/14735253. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 140286/14735298. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c (^x1.a))) 3. ==[ beta ]==> ((^y.y)(c (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 140287/14735307. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 140288/14735334. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a a)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a a)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(a b))) REDUCED to normal form. ------ 140289/14735352. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a (^y.(a a)))) 3. ==[ beta ]==> (((b a)(b a))(a (^y.(a a)))) 4. ==[ alpha ]==> (((b a)(b a))(a (^x.(a a)))) REDUCED to normal form. ------ 140290/14735433. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 140291/14735541. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.y1)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140292/14735748. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.b) a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b) a)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.b) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b) a)) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 140293/14735802. ------ 1. ==[ start ]==> (((a b)(a b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 140294/14735937. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((b (a (^y.y)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 140295/14735964. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a)(a a))(a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 140296/14735991. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 140297/14736081. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1)((a a) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1)((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2)((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2)((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140298/14736162. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140299/14736306. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (a a))(a (^y.y)))) 3. ==[ beta ]==> ((b c)((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> ((b c)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 140300/14736333. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(a ((^y.y) a))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(a ((^x.x) a))) 5. ==[ beta ]==> ((((a a)(a a)) b)(a a)) REDUCED to normal form. ------ 140301/14736378. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 140302/14736459. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(y1 y1))(a (^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^z1.z1))(a (^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.y1))(a (^z1.z1)))) REDUCED to normal form. ------ 140303/14736540. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 140304/14736648. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140305/14736657. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(b (a (a a)))) REDUCED to normal form. ------ 140306/14736684. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (^x.a))(a (^z.z))) 6. ==[ alpha ]==> ((b (^x.a))(a (^y.y))) REDUCED to normal form. ------ 140307/14736711. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 140308/14736828. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (a a))(^z.z))) 3. ==[ beta ]==> ((a ((^y.y) b))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (a a))(^y.y))) 5. ==[ beta ]==> ((a b)((a (a a))(^y.y))) 6. ==[ alpha ]==> ((a b)((a (a a))(^x.x))) REDUCED to normal form. ------ 140309/14736855. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 140310/14736882. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(b a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((b a)((a (^y.y))(^z.a))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 140311/14736909. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 140312/14736936. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (a a)) a)) 3. ==[ beta ]==> (((a b)(a a))((a (a a)) a)) REDUCED to normal form. ------ 140313/14736963. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)(a b))(((^y.y) a) b)) 4. ==[ alpha ]==> (((a a)(a b))(((^x.x) a) b)) 5. ==[ beta ]==> (((a a)(a b))(a b)) REDUCED to normal form. ------ 140314/14737044. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(a a)) REDUCED to normal form. ------ 140315/14737071. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.a) b)) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.a) b)) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.a) b)) 5. ==[ beta ]==> ((b a)((^y.a) b)) 6. ==[ alpha ]==> ((b a)((^x.a) b)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 140316/14737152. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 140317/14737242. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 7. ==[ beta ]==> ((^y.a)(^z.z)) 8. ==[ alpha ]==> ((^x.a)(^y.y)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 140318/14737323. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.x1))) 3. ==[ beta ]==> (b (c (^x1.x1))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 140319/14737431. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140320/14737548. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(b a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(b a)) 3. ==[ beta ]==> (((^y.y) a)(b a)) 4. ==[ alpha ]==> (((^x.x) a)(b a)) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 140321/14737566. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.x1)(a a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.x1)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(a a))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140322/14737593. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140323/14747121. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a a)(^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 140324/14747136. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.(^y1.y1)) a) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140325/14747640. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (a a)))(((a (^y.(^z.z)))(a (a a)))((a (^y.(^z.z)))(a (a a))))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(((a (^z.(^x1.x1)))(a (a a)))((a (^y1.(^z1.z1)))(a (a a))))) REDUCED to normal form. ------ 140326/14748756. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.b) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 140327/14748936. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((a a)(^x1.x1))) b) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z))) b) 5. ==[ beta ]==> (((^y.y)((a a)(^z.z))) b) 6. ==[ alpha ]==> (((^x.x)((a a)(^y.y))) b) 7. ==[ beta ]==> (((a a)(^y.y)) b) 8. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 140328/14749767. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 140329/14750442. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 140330/14750775. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (a b))(^y.((^z.z) b))) 4. ==[ alpha ]==> ((a (a b))(^x.((^y.y) b))) 5. ==[ beta ]==> ((a (a b))(^x.b)) REDUCED to normal form. ------ 140331/14750961. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z))(a b))) 3. ==[ eta ]==> (b (((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (b ((^y.y)(a b))) 6. ==[ alpha ]==> (b ((^x.x)(a b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 140332/14751387. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 140333/14751693. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 140334/14751798. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a b)(a (a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 140335/14752530. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(a b)) b) 4. ==[ beta ]==> (((^y.y)(a b)) b) 5. ==[ alpha ]==> (((^x.x)(a b)) b) 6. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 140336/14752716. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 140337/14753034. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((b a)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((b a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 140338/14753277. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 140339/14754357. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(a x1))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 140340/14754555. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.(x1 b))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(x1 b))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(z b))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(z b))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(y b))) REDUCED to normal form. ------ 140341/14755347. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 140342/14755356. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 140343/14755491. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 140344/14755851. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(z (z z)))) REDUCED to normal form. ------ 140345/14756238. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140346/14756355. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 140347/14756400. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^c.a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.a)) 3. ==[ beta ]==> ((^y.y)(^x1.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 140348/14756475. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)((a a)(a a)))) 3. ==[ beta ]==> (a ((^y.a)((a a)(a a)))) 4. ==[ alpha ]==> (a ((^x.a)((a a)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140349/14756502. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(b (^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 140350/14756529. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 140351/14756547. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 140352/14756610. ------ 1. ==[ start ]==> (((a a) b)((^c.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 140353/14756637. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 140354/14756664. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 140355/14756745. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140356/14756826. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 140357/14756853. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 140358/14756880. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 140359/14756970. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((b (^y.y))(a a))) 3. ==[ beta ]==> (((a a) a)((b (^y.y))(a a))) 4. ==[ alpha ]==> (((a a) a)((b (^x.x))(a a))) REDUCED to normal form. ------ 140360/14756997. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(a a))(a (^z.z)))) REDUCED to normal form. ------ 140361/14757024. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) b)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(b ((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))(b ((^x.x) a))) 7. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 140362/14757051. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 140363/14757294. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 140364/14757321. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a a)(b (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(b (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(b (^y.y)))) REDUCED to normal form. ------ 140365/14757411. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140366/14757438. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 140367/14757501. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 140368/14757528. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a))(a b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(a b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(a b))) 5. ==[ beta ]==> (a ((^y.(a a))(a b))) 6. ==[ alpha ]==> (a ((^x.(a a))(a b))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 140369/14757546. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.(a a)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 7. ==[ beta ]==> ((a b)(^y.(a a))) 8. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 140370/14757555. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 140371/14757609. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 140372/14757627. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 140373/14757636. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a (^x1.(^y1.y1)))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 140374/14757663. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1) b))) 5. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 7. ==[ beta ]==> ((^y.a)((^z.z) b)) 8. ==[ alpha ]==> ((^x.a)((^y.y) b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 140375/14757960. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140376/14758041. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 140377/14758167. ------ 1. ==[ start ]==> ((a (^a.b))((^b.b) c)) 2. ==[ alpha ]==> ((a (^x.b))((^y.y) c)) 3. ==[ beta ]==> ((a (^x.b)) c) REDUCED to normal form. ------ 140378/14758185. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 140379/14758212. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((b a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((b a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(a (a a)))) REDUCED to normal form. ------ 140380/14758239. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))(((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 140381/14758266. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> (((a (a a)) a)((a a)((a a) a))) REDUCED to normal form. ------ 140382/14758293. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b)(a b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)(a b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(a b))) 5. ==[ beta ]==> ((a (^y.y))((a b)(a b))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(a b))) REDUCED to normal form. ------ 140383/14758320. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 140384/14758347. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a b))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a b))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a b))((a a)(^x.x))) REDUCED to normal form. ------ 140385/14758500. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a))(a a))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 140386/14758518. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> (b (b (^y.(^z.z)))) 6. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 140387/14758527. ------ 1. ==[ start ]==> (((a b) a)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a b) a)(a (^y.y))) 4. ==[ alpha ]==> (((a b) a)(a (^x.x))) REDUCED to normal form. ------ 140388/14758545. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 140389/14758554. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 140390/14758572. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((b a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(y y)))) 5. ==[ beta ]==> ((b a)(^y.(y y))) 6. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 140391/14758608. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 140392/14758635. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 140393/14758662. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(a b))) 5. ==[ beta ]==> ((^y.a)((^z.b)(a b))) 6. ==[ alpha ]==> ((^x.a)((^y.b)(a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 140394/14758707. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 140395/14758716. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 140396/14758905. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 140397/14759121. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 140398/14759148. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 140399/14759175. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 140400/14759193. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140401/14759400. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 140402/14759427. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 140403/14759454. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)(b a))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(b a))) 5. ==[ beta ]==> ((a ((a a) a))(a (b a))) REDUCED to normal form. ------ 140404/14759481. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 140405/14759508. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a a)((^z.z) b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)((^y.y) b))) 5. ==[ beta ]==> ((a (a a))((a a)((^y.y) b))) 6. ==[ alpha ]==> ((a (a a))((a a)((^x.x) b))) 7. ==[ beta ]==> ((a (a a))((a a) b)) REDUCED to normal form. ------ 140406/14759553. ------ 1. ==[ start ]==> (((^a.b) c)((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)(a a))) 3. ==[ beta ]==> (b ((^y.y)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 140407/14759652. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 140408/14759796. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(b a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(b a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 140409/14759823. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 140410/14759850. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y) b)) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 140411/14759868. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) b) a)) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) b) a)) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b) a)) 5. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 140412/14759895. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 5. ==[ beta ]==> ((a (^y.(^z.z))) b) 6. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 140413/14759904. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 140414/14759985. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140415/14760012. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 140416/14760039. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 140417/14760066. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 140418/14760156. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 140419/14760183. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a ((^y.y) b))) 3. ==[ beta ]==> ((a (a b))(a ((^y.y) b))) 4. ==[ alpha ]==> ((a (a b))(a ((^x.x) b))) 5. ==[ beta ]==> ((a (a b))(a b)) REDUCED to normal form. ------ 140420/14760210. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 140421/14760237. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((b a)(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a (^z.z)))) 7. ==[ beta ]==> ((^y.y)((b a)(a (^z.z)))) 8. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 9. ==[ beta ]==> ((b a)(a (^y.y))) 10. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 140422/14760264. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 140423/14760291. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (((a b) a)((a a)(a (a a)))) REDUCED to normal form. ------ 140424/14760318. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a b)(^z.z))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 140425/14760345. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 140426/14760372. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> ((a (b a))((^y.y)(a b))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(a b))) 5. ==[ beta ]==> ((a (b a))(a b)) REDUCED to normal form. ------ 140427/14760543. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 140428/14760606. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a a)) REDUCED to normal form. ------ 140429/14760651. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((b a)(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((b a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 140430/14760678. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 140431/14760714. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.(a a)))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (^x.(a a)))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> ((a (^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 140432/14760732. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a b)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 140433/14760741. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 140434/14760795. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 140435/14760813. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (b ((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 140436/14760822. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 140437/14761074. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b (b a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b (b a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (b a))) REDUCED to normal form. ------ 140438/14761101. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (a a)))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 140439/14761128. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((b a)(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((b a)(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((b a)(a a))) 5. ==[ beta ]==> (((a a) a)((b a)(a a))) REDUCED to normal form. ------ 140440/14761155. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 140441/14761209. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a b)(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a b)(a (a a)))) REDUCED to normal form. ------ 140442/14761488. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140443/14761497. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 140444/14761515. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 140445/14761542. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 140446/14761596. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(^z.(a a)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(a a)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(a a)))) 9. ==[ beta ]==> (((a a)(a a))(a (^y.(a a)))) 10. ==[ alpha ]==> (((a a)(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 140447/14761605. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 140448/14761632. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 140449/14761677. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((b a) a)) 3. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 140450/14761740. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 140451/14761911. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b ((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))(b ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 140452/14761938. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a (b a))) 3. ==[ beta ]==> (((^y.y)(a b))(a (b a))) 4. ==[ alpha ]==> (((^x.x)(a b))(a (b a))) 5. ==[ beta ]==> ((a b)(a (b a))) REDUCED to normal form. ------ 140453/14761965. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 140454/14761992. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a b)(^x.x))((a a)(a (^z.z)))) 6. ==[ alpha ]==> (((a b)(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 140455/14762019. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a b)((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a b)((^x.x) a))) 5. ==[ beta ]==> (((a a)(a (a a)))((a b) a)) REDUCED to normal form. ------ 140456/14762046. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 140457/14762100. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 140458/14762127. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(a b))) 5. ==[ beta ]==> ((a b)(a (a b))) REDUCED to normal form. ------ 140459/14762298. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (b (((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 140460/14762406. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140461/14762415. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 140462/14762442. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((b a)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((b a)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((b a)((a a)(^y.y))) 6. ==[ alpha ]==> ((b a)((a a)(^x.x))) REDUCED to normal form. ------ 140463/14762460. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((^y.y) b)(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (b (((a a)(^y.y)) a)) 6. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 140464/14762469. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 140465/14762487. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a)) b) 6. ==[ alpha ]==> (((^x.x)(a a)) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 140466/14762496. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 140467/14762577. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140468/14762604. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 140469/14762631. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 140470/14762658. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 140471/14762730. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140472/14762802. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a) b)((^y.y)(a (a a)))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(a (a a)))) 7. ==[ beta ]==> (((a a) b)(a (a a))) REDUCED to normal form. ------ 140473/14762829. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a (a a))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 140474/14762856. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((a (b a))(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> ((a (b a))(((^x.x) a)((a a) a))) 5. ==[ beta ]==> ((a (b a))(a ((a a) a))) REDUCED to normal form. ------ 140475/14762883. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 140476/14762910. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 140477/14763162. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((^y.y)(a a)) a) 6. ==[ alpha ]==> (((^x.x)(a a)) a) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 140478/14763405. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140479/14763522. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c (^z.a))) REDUCED to normal form. ------ 140480/14763549. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b (^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b (^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.b))) REDUCED to normal form. ------ 140481/14763630. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 140482/14763648. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 140483/14763657. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 140484/14763711. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 140485/14763756. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a a)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140486/14763765. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a b)) REDUCED to normal form. ------ 140487/14763792. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((b (^x.(^y.y))) b) REDUCED to normal form. ------ 140488/14763936. ------ 1. ==[ start ]==> (((a (a a))(b a))(b ((a a) a))) REDUCED to normal form. ------ 140489/14763963. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(a (a b))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(a (a b))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (a b))) 5. ==[ beta ]==> (((a a)(^y.y))(a (a b))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (a b))) REDUCED to normal form. ------ 140490/14763990. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((a a) a)(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 140491/14764017. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a b))(a (^y.y))) 6. ==[ alpha ]==> (((a b)(a b))(a (^x.x))) REDUCED to normal form. ------ 140492/14764044. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a) a))((a (a a))((^y.y) a))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (a a))((^x.x) a))) 5. ==[ beta ]==> (((a a)((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 140493/14764071. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (a (a a)))) REDUCED to normal form. ------ 140494/14764125. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a a)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)((a a) a))) REDUCED to normal form. ------ 140495/14764377. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 140496/14764656. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 140497/14764674. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (a a))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 140498/14764683. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((a (^y1.y1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 140499/14764755. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 140500/14764764. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 140501/14764791. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 140502/14764872. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 140503/14764899. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 140504/14764989. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 140505/14765016. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 140506/14765097. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(c c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(c c)) 3. ==[ beta ]==> (((^y.y)(b a))(c c)) 4. ==[ alpha ]==> (((^x.x)(b a))(c c)) 5. ==[ beta ]==> ((b a)(c c)) REDUCED to normal form. ------ 140507/14765259. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 140508/14765286. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((b ((^y.y) a))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((b a)(((^y.y) a)(a a))) 6. ==[ alpha ]==> ((b a)(((^x.x) a)(a a))) 7. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 140509/14765313. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 140510/14765457. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> ((^y.y)(((^z.z) a) a)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a) a)) 7. ==[ beta ]==> (((^y.y) a) a) 8. ==[ alpha ]==> (((^x.x) a) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140511/14765538. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (b ((^x1.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140512/14765646. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140513/14765763. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 140514/14765781. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((a a)(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((a a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)(^z.z))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 140515/14765808. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a a) a)) 3. ==[ beta ]==> ((^y.y)((a a) a)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 140516/14765861. ------ 1. ==[ start ]==> (^a.((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (^x.((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> (^x.(((^z.z) b)((^z.z) b))) 4. ==[ alpha ]==> (^x.(((^y.y) b)((^z.z) b))) 5. ==[ beta ]==> (^x.(b ((^z.z) b))) 6. ==[ alpha ]==> (^x.(b ((^y.y) b))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 140517/14765862. ------ 1. ==[ start ]==> (a ((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (a ((^x.(x x))((^y.y) b))) 3. ==[ beta ]==> (a (((^y.y) b)((^y.y) b))) 4. ==[ alpha ]==> (a (((^x.x) b)((^y.y) b))) 5. ==[ beta ]==> (a (b ((^y.y) b))) 6. ==[ alpha ]==> (a (b ((^x.x) b))) 7. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 140518/14766360. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> ((^x.(^y.(y y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 140519/14774775. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(^y1.(y1 y1)))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140520/14775273. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b)) a) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b)) a) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b)) a) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b)) a) 5. ==[ beta ]==> ((b ((^y.y) b)) a) 6. ==[ alpha ]==> ((b ((^x.x) b)) a) 7. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 140521/14775279. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> ((^y.(y y))((^z.z) b)) 4. ==[ alpha ]==> ((^x.(x x))((^y.y) b)) 5. ==[ beta ]==> (((^y.y) b)((^y.y) b)) 6. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 7. ==[ beta ]==> (b ((^y.y) b)) 8. ==[ alpha ]==> (b ((^x.x) b)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 140522/14775306. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.a)((a a)(a a)))((^y.a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.a)((a a)(a a)))((^y.a)((a a)(a a)))) 5. ==[ beta ]==> (a ((^y.a)((a a)(a a)))) 6. ==[ alpha ]==> (a ((^x.a)((a a)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140523/14775333. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 140524/14775603. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 140525/14775774. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 140526/14775777. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 140527/14776098. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140528/14776551. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 140529/14776656. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))((^y.(^z.(^x1.x1)))(^y1.(y1 y1))))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2))))((^z2.(^x3.(^y3.y3)))(^z3.(z3 z3)))) 5. ==[ beta ]==> (((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2))))((^z2.(^x3.(^y3.y3)))(^z3.(z3 z3)))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1))))((^x2.(^y2.(^z2.z2)))(^x3.(x3 x3)))) 7. ==[ beta ]==> ((^y.y)((^x2.(^y2.(^z2.z2)))(^x3.(x3 x3)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 10. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140530/14776989. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 140531/14777658. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((a a)(a a)))) REDUCED to normal form. ------ 140532/14778018. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((^y.y)(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(y y)))) 5. ==[ beta ]==> (^y.((y y)(y y))) 6. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 140533/14779008. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 140534/14779620. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 140535/14779926. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 140536/14780205. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(b a))) 3. ==[ beta ]==> (b (^x1.(b a))) 4. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 140537/14781267. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 140538/14781762. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 140539/14781948. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((^y.(^z.z))(a b))((^y.(^z.z))(a b)))(((^y.(^z.z))(a b))((^y.(^z.z))(a b)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(a b))((^z.(^x1.x1))(a b)))(((^y1.(^z1.z1))(a b))((^x2.(^y2.y2))(a b)))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a b)))(((^y1.(^z1.z1))(a b))((^x2.(^y2.y2))(a b)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a b)))(((^x1.(^y1.y1))(a b))((^z1.(^x2.x2))(a b)))) 7. ==[ beta ]==> (((^y.(^z.z))(a b))(((^x1.(^y1.y1))(a b))((^z1.(^x2.x2))(a b)))) 8. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.(^x1.x1))(a b))((^y1.(^z1.z1))(a b)))) 9. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a b))((^y1.(^z1.z1))(a b)))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a b))((^x1.(^y1.y1))(a b)))) 11. ==[ beta ]==> (((^y.(^z.z))(a b))((^x1.(^y1.y1))(a b))) 12. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a b))) 13. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 15. ==[ beta ]==> ((^y.(^z.z))(a b)) 16. ==[ alpha ]==> ((^x.(^y.y))(a b)) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140540/14782392. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(a b))) 3. ==[ beta ]==> (((b a)(b a))(^y.(a b))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(a b))) REDUCED to normal form. ------ 140541/14782590. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.b))) REDUCED to normal form. ------ 140542/14782788. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 140543/14782977. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.b))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 140544/14783028. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 140545/14783310. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.((y1 y1) y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((y1 y1) y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z) z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140546/14783589. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 140547/14783868. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 140548/14783976. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(a (a a)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(a (a a)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(a (a a)))) REDUCED to normal form. ------ 140549/14784084. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 140550/14784189. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(a (^x1.(x1 x1)))) 3. ==[ eta ]==> ((^y.(^z.z))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140551/14784192. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 140552/14784363. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.b)(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (b (^x1.x1)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 140553/14784588. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^b.b)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.z)) 3. ==[ beta ]==> (((^y.y) a)(^z.z)) 4. ==[ alpha ]==> (((^x.x) a)(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 140554/14784633. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.b)) 3. ==[ beta ]==> ((^y.y)(^x1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 140555/14784687. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.z)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.z)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.z)) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.z)) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.y)) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 140556/14784699. ------ 1. ==[ start ]==> ((a a)((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) b))) 3. ==[ beta ]==> ((a a)(((^y.y) b)((^y.y) b))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)((^y.y) b))) 5. ==[ beta ]==> ((a a)(b ((^y.y) b))) 6. ==[ alpha ]==> ((a a)(b ((^x.x) b))) 7. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 140557/14784726. ------ 1. ==[ start ]==> ((a (a a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.a)((a a)(a a)))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 140558/14784753. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(b (^z.z)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 140559/14784798. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((^x.x) b)(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> (b (((^y.(^z.z)) a) a)) 4. ==[ alpha ]==> (b (((^x.(^y.y)) a) a)) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140560/14784825. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((b (^z.z)) b)) 3. ==[ beta ]==> ((^y.y)((b (^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) b)) 5. ==[ beta ]==> ((b (^y.y)) b) 6. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 140561/14784852. ------ 1. ==[ start ]==> (((a a) b)(((a a)(a a)) c)) REDUCED to normal form. ------ 140562/14784996. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 140563/14785023. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 140564/14785194. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 140565/14785302. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(a (a a)))((a (^y.(^z.z)))(a (a a)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (^z.(^x1.x1)))(a (a a)))) REDUCED to normal form. ------ 140566/14785329. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((b a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 140567/14785383. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a b))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 7. ==[ beta ]==> (((^y.y)(a a))(a b)) 8. ==[ alpha ]==> (((^x.x)(a a))(a b)) 9. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 140568/14785410. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))((a b)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))((a b)((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a a))((a b)(a a))) REDUCED to normal form. ------ 140569/14785437. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 140570/14785491. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 140571/14785518. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 140572/14785608. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((b (^y.y))(^z.z))) 3. ==[ beta ]==> ((b b)((b (^y.y))(^z.z))) 4. ==[ alpha ]==> ((b b)((b (^x.x))(^y.y))) REDUCED to normal form. ------ 140573/14785743. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 140574/14785770. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (a (((^y.y)(a a))(^z.b))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(^y.b))) 7. ==[ beta ]==> (a ((a a)(^y.b))) 8. ==[ alpha ]==> (a ((a a)(^x.b))) REDUCED to normal form. ------ 140575/14785797. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.(a a)))) REDUCED to normal form. ------ 140576/14785878. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 140577/14785905. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 7. ==[ beta ]==> (((^y.y) a)(^z.z)) 8. ==[ alpha ]==> (((^x.x) a)(^y.y)) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 140578/14785941. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 140579/14785968. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.y))) REDUCED to normal form. ------ 140580/14786049. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 140581/14786076. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 140582/14786328. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b ((a a)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b ((a a)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b ((a a)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(b ((a a)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b ((a a)(a a)))) 7. ==[ beta ]==> ((a a)(b ((a a)(a a)))) REDUCED to normal form. ------ 140583/14786409. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.b))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))(b (a (^y.y)))) REDUCED to normal form. ------ 140584/14786598. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 140585/14786679. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))((^x1.x1) b))) IRREDUCIBLE: cycle. ------ 140586/14786742. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 140587/14786769. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 140588/14786796. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 140589/14786850. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 140590/14786904. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a b)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a b)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(^z.b))) 5. ==[ beta ]==> ((^y.a)((a b)(^z.b))) 6. ==[ alpha ]==> ((^x.a)((a b)(^y.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 140591/14786931. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 140592/14786958. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 140593/14786994. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(b a))) 3. ==[ beta ]==> (((a a)(a b))((b a)(b a))) REDUCED to normal form. ------ 140594/14787021. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 140595/14787048. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) b))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 140596/14787075. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 140597/14787129. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 140598/14787147. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.(^z.z))) c)) 3. ==[ beta ]==> (b ((a (^y.(^z.z))) c)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 140599/14787156. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 140600/14787408. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b ((^z.z) b))) 3. ==[ beta ]==> (((^y.y)(a a))(b ((^z.z) b))) 4. ==[ alpha ]==> (((^x.x)(a a))(b ((^y.y) b))) 5. ==[ beta ]==> ((a a)(b ((^y.y) b))) 6. ==[ alpha ]==> ((a a)(b ((^x.x) b))) 7. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 140601/14787435. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(a a)))) 5. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 140602/14787444. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 140603/14787489. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(a (^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(a (^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (^x1.x1)))) 11. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 12. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 140604/14787498. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 140605/14787570. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 140606/14787750. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b (^z.z))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b (^z.z))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b (^y.y))) 5. ==[ beta ]==> ((a (a a))(b (^y.y))) 6. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 140607/14787795. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (b (((^y.y) b)(^z.z))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.y))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 140608/14787804. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(a a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 140609/14787831. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 140610/14788038. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)(^d.a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a b) c)(a (^y.a))) 4. ==[ alpha ]==> (((a b) c)(a (^x.a))) REDUCED to normal form. ------ 140611/14788065. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 140612/14788092. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a a)(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 140613/14788146. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 140614/14788173. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((b a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((b a) c)) 3. ==[ beta ]==> ((a (^y.b))((b a) c)) 4. ==[ alpha ]==> ((a (^x.b))((b a) c)) REDUCED to normal form. ------ 140615/14788398. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 140616/14788425. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 140617/14788704. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))(b a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))(b a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(b a))) 5. ==[ beta ]==> (b ((a (^z.z))(b a))) 6. ==[ alpha ]==> (b ((a (^x.x))(b a))) REDUCED to normal form. ------ 140618/14788848. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.(y y)))) REDUCED to normal form. ------ 140619/14788956. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 140620/14788983. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 140621/14789037. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 140622/14789064. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 140623/14789091. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((b a) b)) 3. ==[ beta ]==> (((a a)(^y.a))((b a) b)) 4. ==[ alpha ]==> (((a a)(^x.a))((b a) b)) REDUCED to normal form. ------ 140624/14789181. ------ 1. ==[ start ]==> (((a a)(b a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 140625/14789235. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.b))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 140626/14789262. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 140627/14789289. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 140628/14789343. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 140629/14789460. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140630/14789541. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))(a b))) 5. ==[ beta ]==> ((a a)((a (a a))(a b))) REDUCED to normal form. ------ 140631/14789622. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(b a))) 3. ==[ beta ]==> (b ((a a)(b a))) REDUCED to normal form. ------ 140632/14789739. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a b)(^z.(z z)))) REDUCED to normal form. ------ 140633/14789766. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a) a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 140634/14789847. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 140635/14789874. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 140636/14789928. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 140637/14789955. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 140638/14789982. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(a a)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a) c)) REDUCED to normal form. ------ 140639/14790072. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 140640/14790099. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 140641/14790126. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 140642/14790378. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(a b)) 6. ==[ alpha ]==> (((^x.x) a)(a b)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 140643/14790405. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 140644/14790657. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 140645/14790684. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b a)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 140646/14790711. ------ 1. ==[ start ]==> (((a a)(^b.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 140647/14790738. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a) b)) REDUCED to normal form. ------ 140648/14790972. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1)(a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140649/14790981. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(a a)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 140650/14791008. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.b) c)) 3. ==[ beta ]==> ((b (^y.y))((^z.b) c)) 4. ==[ alpha ]==> ((b (^x.x))((^y.b) c)) 5. ==[ beta ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 140651/14791152. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (^z.(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(b (^z.(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(a a)))) 7. ==[ beta ]==> ((a a)(b (^y.(a a)))) 8. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 140652/14791179. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 140653/14791206. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(a a))(a a))) 3. ==[ beta ]==> (((a b)((a a) a))(a a)) REDUCED to normal form. ------ 140654/14791233. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 140655/14791314. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^y1.y1)(^z1.z1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1)(^z1.z1))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(^y1.y1))) 9. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 10. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 140656/14791341. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)((a a) a))) 3. ==[ beta ]==> ((b (a a))((^y.a)((a a) a))) 4. ==[ alpha ]==> ((b (a a))((^x.a)((a a) a))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 140657/14791368. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 140658/14791647. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a b)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140659/14791683. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a) c)) 3. ==[ beta ]==> ((b b)((^y.a) c)) 4. ==[ alpha ]==> ((b b)((^x.a) c)) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 140660/14791728. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 140661/14791755. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 7. ==[ beta ]==> (a ((^y.y)(^z.z))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 140662/14791809. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a)(a b))) 3. ==[ beta ]==> (((b a)(b a))((a a)(a b))) REDUCED to normal form. ------ 140663/14791872. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 140664/14791899. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.b))(^z.a)) 6. ==[ alpha ]==> (((a b)(^x.b))(^y.a)) REDUCED to normal form. ------ 140665/14791953. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 140666/14792007. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a)(^x1.b))) REDUCED to normal form. ------ 140667/14792034. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a b) a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a b) a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 140668/14792061. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((a a) a) b)) REDUCED to normal form. ------ 140669/14792097. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 140670/14792124. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 140671/14792151. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 140672/14792178. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 140673/14792205. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.b))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.b))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.b)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 140674/14792367. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b (^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b (^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.a))) REDUCED to normal form. ------ 140675/14792394. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a (^z.b))) 3. ==[ beta ]==> ((b (a (^y.y)))(a (^z.b))) 4. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.b))) REDUCED to normal form. ------ 140676/14792448. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 140677/14792727. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a ((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140678/14792763. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((b c)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((b c)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 140679/14792790. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(a a)) c)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(x x)) c)) 3. ==[ beta ]==> ((((a a)(a a)) b)(c c)) REDUCED to normal form. ------ 140680/14792835. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 140681/14792862. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 140682/14792898. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 140683/14792925. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 140684/14793006. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 140685/14793033. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.b))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.b))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.b))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 140686/14793168. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 140687/14793231. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(c (^b.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(c (^y.a))) REDUCED to normal form. ------ 140688/14793258. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(b (^y.(y y)))) REDUCED to normal form. ------ 140689/14793285. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 140690/14793312. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))((a a)(a a))) REDUCED to normal form. ------ 140691/14793339. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((b a)((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> ((b a)((^x.a)(a (^y.y)))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 140692/14793366. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 140693/14793393. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a b)(a a))(a (a a))) REDUCED to normal form. ------ 140694/14793420. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(a b))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((a a)(a b))((^y.y)(^y.y))) 6. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)(a b))(^y.y)) 8. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 140695/14793447. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a)) a) REDUCED to normal form. ------ 140696/14793501. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(z z))) REDUCED to normal form. ------ 140697/14793609. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(a (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 140698/14793780. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> (b (a ((^x1.x1) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 140699/14793888. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b b)) 3. ==[ beta ]==> ((^y.(^z.z))(b b)) 4. ==[ alpha ]==> ((^x.(^y.y))(b b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140700/14794005. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.a) b)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.z) b)) 3. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 140701/14794023. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(b a)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(b a)) 3. ==[ beta ]==> (((^y.(^z.z)) a)(b a)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(b a)) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140702/14794050. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 140703/14794104. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(a a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(a a)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(a a)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(a a)) 5. ==[ beta ]==> ((b ((^y.y) b))(a a)) 6. ==[ alpha ]==> ((b ((^x.x) b))(a a)) 7. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 140704/14794112. ------ 1. ==[ start ]==> (^a.((a (a a))(^b.b))) 2. ==[ alpha ]==> (^x.((x (x x))(^y.y))) REDUCED to normal form. ------ 140705/14794113. ------ 1. ==[ start ]==> (a ((a (a a))(^b.b))) 2. ==[ alpha ]==> (a ((a (a a))(^x.x))) REDUCED to normal form. ------ 140706/14794206. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.(^z1.z1)) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140707/14803524. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b)) b) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b)) b) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b)) b) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b)) b) 5. ==[ beta ]==> ((b ((^y.y) b)) b) 6. ==[ alpha ]==> ((b ((^x.x) b)) b) 7. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 140708/14803533. ------ 1. ==[ start ]==> (((a (a a))(^b.b)) a) 2. ==[ alpha ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 140709/14803539. ------ 1. ==[ start ]==> ((^a.a)((a (a a))(^b.b))) 2. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 140710/14803548. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140711/14803629. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((^y1.(^z1.z1)) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140712/14803632. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 140713/14803674. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b (^z.z)) b)) 3. ==[ beta ]==> (((b (^z.z)) b)(^y.y)) 4. ==[ alpha ]==> (((b (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 140714/14804484. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140715/14805207. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(b (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(b (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(b (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(b (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(b (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140716/14805816. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))((a a)(^y1.y1)))((^z.(^x1.x1))((a a)(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))((a a)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2))))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))((a a)(^x2.x2))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))((a a)(^y1.y1))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))((a a)(^y1.y1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))((a a)(^x1.x1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140717/14806278. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 140718/14806287. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((z z)(z z)))) REDUCED to normal form. ------ 140719/14806698. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((b a)(^z.a))) 3. ==[ beta ]==> ((((b a)(^z.a))((b a)(^z.a)))(^y.y)) 4. ==[ alpha ]==> ((((b a)(^x.a))((b a)(^y.a)))(^z.z)) REDUCED to normal form. ------ 140720/14806953. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.z)) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 140721/14807898. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 140722/14808003. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(a a))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 140723/14808762. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(x1 a))) 3. ==[ beta ]==> (b (^x1.(x1 a))) 4. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 140724/14808894. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140725/14809545. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.((a a)(^z.z)))) 6. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 140726/14810208. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((((a (^y.y))(^z.b))((a (^y.y))(^z.b)))(((a (^y.y))(^z.b))((a (^y.y))(^z.b)))) 4. ==[ alpha ]==> ((((a (^x.x))(^y.b))((a (^z.z))(^x1.b)))(((a (^y1.y1))(^z1.b))((a (^x2.x2))(^y2.b)))) REDUCED to normal form. ------ 140727/14810247. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 140728/14811288. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 140729/14811570. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140730/14812011. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 140731/14812236. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 140732/14812542. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 7. ==[ beta ]==> (^y.((^z.z) a)) 8. ==[ alpha ]==> (^x.((^y.y) a)) 9. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 140733/14812623. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (b (^x1.(^y1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 140734/14812866. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 140735/14812893. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(a a))) 3. ==[ beta ]==> ((^y.y)(^x1.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 140736/14812947. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(^x1.x1))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(^z.z))) 7. ==[ beta ]==> ((b b)(^y.(^z.z))) 8. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 140737/14812956. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 140738/14812968. ------ 1. ==[ start ]==> ((a a)((a (a a))(^b.b))) 2. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 140739/14812977. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> ((a (^x.x))(((^z.z) b)((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.x))(b ((^z.z) b))) 6. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) b))) 7. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 140740/14813004. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(a a)))) 5. ==[ beta ]==> ((^y.a)((a a)(a a))) 6. ==[ alpha ]==> ((^x.a)((a a)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 140741/14813031. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(b (^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(b (^z.z)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 140742/14813058. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 140743/14813076. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((a a)(a a))(((^x.(^y.y)) a) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 140744/14813103. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b (^a.a)) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))((b (^y.y)) b)) REDUCED to normal form. ------ 140745/14813166. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 140746/14813193. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140747/14813301. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 140748/14813382. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.z))) 5. ==[ beta ]==> (a ((^y.(y y))(^z.z))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.y))) 7. ==[ beta ]==> (a ((^y.y)(^y.y))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 140749/14813409. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 140750/14813445. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (b (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(b (b (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(b (b (^y.y)))) REDUCED to normal form. ------ 140751/14813553. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> ((a a)(((^y.y) b)((^z.z) a))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)((^y.y) a))) 5. ==[ beta ]==> ((a a)(b ((^y.y) a))) 6. ==[ alpha ]==> ((a a)(b ((^x.x) a))) 7. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 140752/14813634. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))((a a) a))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 140753/14813661. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a))(a b))) 3. ==[ beta ]==> (((a (a a)) a)((a a)(a b))) REDUCED to normal form. ------ 140754/14813688. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a b)(a a))) REDUCED to normal form. ------ 140755/14813715. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a)((a a)(^z.z)))) REDUCED to normal form. ------ 140756/14813742. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(b a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(b a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(b a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 140757/14813769. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 140758/14813886. ------ 1. ==[ start ]==> (((a (a a))(a a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((b (^x.x))(^y.y))) REDUCED to normal form. ------ 140759/14813913. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 140760/14813922. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140761/14813949. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 140762/14814057. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a b))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 7. ==[ beta ]==> ((^y.(a a))(a b)) 8. ==[ alpha ]==> ((^x.(a a))(a b)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140763/14814084. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 140764/14814138. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 140765/14814264. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b (^z.z)) a)) 3. ==[ beta ]==> ((a ((^y.y) a))((b (^z.z)) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))((b (^y.y)) a)) 5. ==[ beta ]==> ((a a)((b (^y.y)) a)) 6. ==[ alpha ]==> ((a a)((b (^x.x)) a)) REDUCED to normal form. ------ 140766/14814291. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(a a)) b)) REDUCED to normal form. ------ 140767/14814318. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) b) c)) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) b) c)) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b) c)) 5. ==[ beta ]==> ((a a)(((^y.y) b) c)) 6. ==[ alpha ]==> ((a a)(((^x.x) b) c)) 7. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 140768/14814435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))(^x1.b))) 5. ==[ beta ]==> (a ((^z.(a a))(^x1.b))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.b))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 140769/14814543. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140770/14814606. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b ((a a)(a a)))) REDUCED to normal form. ------ 140771/14814633. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (b (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (b (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (b (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (b (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (b (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140772/14814660. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(a a))(a a))) REDUCED to normal form. ------ 140773/14814696. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.b) c)) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x) c)) 3. ==[ beta ]==> (((a a)((a a) a)) c) REDUCED to normal form. ------ 140774/14814849. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (b (((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 140775/14815029. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a))(a a))) 3. ==[ beta ]==> (b ((^z.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 140776/14815056. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 140777/14815083. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140778/14815218. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140779/14815245. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 140780/14815290. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 140781/14815317. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 140782/14815371. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a)(a a)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(a a)) a)) 5. ==[ beta ]==> (((^y.y) a)(((a a)(a a)) a)) 6. ==[ alpha ]==> (((^x.x) a)(((a a)(a a)) a)) 7. ==[ beta ]==> (a (((a a)(a a)) a)) REDUCED to normal form. ------ 140783/14815398. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) b) b)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(b b)) REDUCED to normal form. ------ 140784/14815425. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 140785/14815488. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140786/14815542. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.b))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.b))) 7. ==[ beta ]==> ((^y.b)(^z.b)) 8. ==[ alpha ]==> ((^x.b)(^y.b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 140787/14815677. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 140788/14815686. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b ((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(b b)) REDUCED to normal form. ------ 140789/14815704. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 140790/14815713. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a ((a a)(a a)))) REDUCED to normal form. ------ 140791/14815767. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) REDUCED to normal form. ------ 140792/14815794. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((b a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))((b a)((^z.z) a))) 6. ==[ alpha ]==> ((^x.(x x))((b a)((^y.y) a))) 7. ==[ beta ]==> (((b a)((^y.y) a))((b a)((^y.y) a))) 8. ==[ alpha ]==> (((b a)((^x.x) a))((b a)((^y.y) a))) 9. ==[ beta ]==> (((b a) a)((b a)((^y.y) a))) 10. ==[ alpha ]==> (((b a) a)((b a)((^x.x) a))) 11. ==[ beta ]==> (((b a) a)((b a) a)) REDUCED to normal form. ------ 140793/14815821. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 140794/14815848. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 140795/14815875. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a b)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)((a a) a))) REDUCED to normal form. ------ 140796/14816073. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(b (^z.z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 140797/14816100. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 140798/14816127. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((b a)(^y.a))) REDUCED to normal form. ------ 140799/14816163. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140800/14816298. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (b (((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 140801/14816379. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z) b))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) b)) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 140802/14816406. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140803/14816541. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (b ((^z.b)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 140804/14816721. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.b) a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x) a)) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 140805/14816748. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2))) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2))) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1))) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1))) b)) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) b)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 10. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140806/14816802. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z)) d)) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y)) d)) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 140807/14816973. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (^d.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c (^z.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c (^z.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.a))) 5. ==[ beta ]==> (b (c (^z.a))) 6. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 140808/14817054. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 140809/14817162. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 140810/14817243. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(a b))(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (((a b)(a b))(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (((a b)(a b))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (((a b)(a b))((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (((a b)(a b))((a a)(a a))) REDUCED to normal form. ------ 140811/14817324. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 140812/14817432. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 140813/14817639. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1))) a)) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z))) a)) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 140814/14817711. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140815/14817999. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(a a))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140816/14818026. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 140817/14818053. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 140818/14818107. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))(a b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))(a b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(a b))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a b))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a b))) 9. ==[ beta ]==> (((a a)(a a))((a b)(a b))) REDUCED to normal form. ------ 140819/14818188. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> (b ((^x1.x1)(b a))) 4. ==[ alpha ]==> (b ((^x.x)(b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 140820/14818296. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140821/14818323. ------ 1. ==[ start ]==> ((a (^b.b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 140822/14818503. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 140823/14818530. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(a a)) c)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(a a)) c)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a)) c)) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 140824/14818602. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140825/14818809. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 140826/14818917. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140827/14818971. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 140828/14819052. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 140829/14819133. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140830/14819142. ------ 1. ==[ start ]==> (((a b)(^c.a))(d ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(d ((a a) a))) REDUCED to normal form. ------ 140831/14819169. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c (a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c (a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (a b))) REDUCED to normal form. ------ 140832/14819196. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(b (a a))) REDUCED to normal form. ------ 140833/14819250. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(a a))) REDUCED to normal form. ------ 140834/14819277. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((b (^y.y))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 140835/14819313. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^c.a) d)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a) d)) 3. ==[ beta ]==> (((a a) b)((^y.a) d)) 4. ==[ alpha ]==> (((a a) b)((^x.a) d)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 140836/14819475. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> (((a b)((a a) a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a b)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 140837/14819502. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 140838/14819529. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 140839/14819583. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 140840/14819610. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((b (a a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((b (a a))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((b (a a))(a (^y.a))) 6. ==[ alpha ]==> ((b (a a))(a (^x.a))) REDUCED to normal form. ------ 140841/14819637. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 140842/14819673. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140843/14819808. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 140844/14819952. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> ((b b)(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> ((b b)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 140845/14819979. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a)) a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((((a a)(a a)) a)((^y.y) a)) 6. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x) a)) 7. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 140846/14820033. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 140847/14820060. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (^y1.y1))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))((a a) a))) REDUCED to normal form. ------ 140848/14820078. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b (^y.b))) 3. ==[ beta ]==> (((b a)(b a))(b (^y.b))) 4. ==[ alpha ]==> (((b a)(b a))(b (^x.b))) REDUCED to normal form. ------ 140849/14820159. ------ 1. ==[ start ]==> (((^a.b)(a b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140850/14820267. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140851/14820501. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.b) a)) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.b) a)) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.b) a)) 5. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 140852/14820528. ------ 1. ==[ start ]==> (((a b)(a b))((^c.a) b)) 2. ==[ alpha ]==> (((a b)(a b))((^x.a) b)) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 140853/14820555. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 140854/14820690. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 140855/14820717. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (b (^x.x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (b (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 140856/14820807. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))((^z2.z2)(^x3.x3)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))((^z2.z2)(^x3.x3)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140857/14820888. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 140858/14821032. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((b c)(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> ((b c)(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> ((b c)((^y.y)(a a))) 6. ==[ alpha ]==> ((b c)((^x.x)(a a))) 7. ==[ beta ]==> ((b c)(a a)) REDUCED to normal form. ------ 140859/14821059. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 140860/14821104. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(c (^z.(z z)))) 3. ==[ beta ]==> ((b (^y.y))(c (^z.(z z)))) 4. ==[ alpha ]==> ((b (^x.x))(c (^y.(y y)))) REDUCED to normal form. ------ 140861/14821131. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 140862/14821185. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 140863/14821266. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 140864/14821374. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140865/14821410. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(b (a (a a)))) 3. ==[ beta ]==> ((b (^y.a))(b (a (a a)))) 4. ==[ alpha ]==> ((b (^x.a))(b (a (a a)))) REDUCED to normal form. ------ 140866/14821437. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 140867/14821500. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.a) c)) 3. ==[ beta ]==> (((a a)(b (^x.x))) a) REDUCED to normal form. ------ 140868/14821581. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (a a))(^z.z))) REDUCED to normal form. ------ 140869/14821608. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((b a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 140870/14821635. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 140871/14821662. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a a)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a a))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 140872/14821689. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (a a)) a)) 3. ==[ beta ]==> (((a a)(a b))((a (a a)) a)) REDUCED to normal form. ------ 140873/14821716. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(a b)) REDUCED to normal form. ------ 140874/14821797. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(z z)) a)) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(z z)) a)) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(y y)) a)) 5. ==[ beta ]==> ((b a)((^y.(y y)) a)) 6. ==[ alpha ]==> ((b a)((^x.(x x)) a)) 7. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 140875/14821824. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.a) b)) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x))) a) REDUCED to normal form. ------ 140876/14821968. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 140877/14822049. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 140878/14822157. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140879/14822274. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((a a)(a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((a a)(a a))) 3. ==[ beta ]==> (((^y.y) a)((a a)(a a))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(a a))) 5. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 140880/14822292. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 140881/14822319. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 140882/14822373. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(a (^z.z))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(a (^z.z))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(a (^z.z))) 5. ==[ beta ]==> ((b ((^y.y) b))(a (^z.z))) 6. ==[ alpha ]==> ((b ((^x.x) b))(a (^y.y))) 7. ==[ beta ]==> ((b b)(a (^y.y))) 8. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 140883/14822382. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(a a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 140884/14831802. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b)) c) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b)) c) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b)) c) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b)) c) 5. ==[ beta ]==> ((b ((^y.y) b)) c) 6. ==[ alpha ]==> ((b ((^x.x) b)) c) 7. ==[ beta ]==> ((b b) c) REDUCED to normal form. ------ 140885/14831811. ------ 1. ==[ start ]==> (((a (a a))(^b.b)) b) 2. ==[ alpha ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 140886/14831835. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (a a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140887/14831928. ------ 1. ==[ start ]==> (((^a.a) b)(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x) b)(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (b (^y.((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> (b (^x.((^y.(^z.z)) a))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 140888/14832342. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((a a)((^x.x) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.z))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 140889/14832420. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> ((((^y.y) b)((^z.z) a))((((^y.y) b)((^z.z) a))(((^y.y) b)((^z.z) a)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((((^z.z) b)((^x1.x1) a))(((^y1.y1) b)((^z1.z1) a)))) 5. ==[ beta ]==> ((b ((^y.y) a))((((^z.z) b)((^x1.x1) a))(((^y1.y1) b)((^z1.z1) a)))) 6. ==[ alpha ]==> ((b ((^x.x) a))((((^y.y) b)((^z.z) a))(((^x1.x1) b)((^y1.y1) a)))) 7. ==[ beta ]==> ((b a)((((^y.y) b)((^z.z) a))(((^x1.x1) b)((^y1.y1) a)))) 8. ==[ alpha ]==> ((b a)((((^x.x) b)((^y.y) a))(((^z.z) b)((^x1.x1) a)))) 9. ==[ beta ]==> ((b a)((b ((^y.y) a))(((^z.z) b)((^x1.x1) a)))) 10. ==[ alpha ]==> ((b a)((b ((^x.x) a))(((^y.y) b)((^z.z) a)))) 11. ==[ beta ]==> ((b a)((b a)(((^y.y) b)((^z.z) a)))) 12. ==[ alpha ]==> ((b a)((b a)(((^x.x) b)((^y.y) a)))) 13. ==[ beta ]==> ((b a)((b a)(b ((^y.y) a)))) 14. ==[ alpha ]==> ((b a)((b a)(b ((^x.x) a)))) 15. ==[ beta ]==> ((b a)((b a)(b a))) REDUCED to normal form. ------ 140890/14833536. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a)) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 140891/14833716. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)((^y.y)(a a))) b) 4. ==[ alpha ]==> ((((a a) a)((^x.x)(a a))) b) 5. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 140892/14834103. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))(^y1.(^z1.z1)))(((^z.z)(^x1.x1))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2))))) 5. ==[ beta ]==> (^x.(((^z.z)(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (^x.(((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2))))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140893/14834574. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 140894/14834925. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(y y)))) 3. ==[ beta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 140895/14835582. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.((^y.y) b))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^x.b)) REDUCED to normal form. ------ 140896/14835741. ------ 1. ==[ start ]==> ((^a.(b a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))(((a a) a)((a a) a))) 3. ==[ eta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 140897/14836185. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 140898/14836194. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 140899/14836500. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)(^y.(y (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 140900/14836578. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((((^x1.x1)(a a))((^y1.y1) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.z))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 140901/14837049. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (b (^x1.(^y1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 140902/14837058. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z a))) REDUCED to normal form. ------ 140903/14837337. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.(b a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(b x))) 3. ==[ eta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 140904/14837496. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 140905/14837832. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 140906/14837841. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 140907/14838309. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^x.(a a))) REDUCED to normal form. ------ 140908/14838534. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 140909/14839164. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x) b)(^y.(^z.z))) a) 4. ==[ beta ]==> ((b (^y.(^z.z))) a) 5. ==[ alpha ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 140910/14839362. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(y b))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(y b))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(x b))) REDUCED to normal form. ------ 140911/14839524. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.((a a) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 140912/14840028. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 140913/14840163. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 140914/14840298. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 140915/14840415. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(a (a a)))) 5. ==[ beta ]==> ((a b)(^y.(a (a a)))) 6. ==[ alpha ]==> ((a b)(^x.(a (a a)))) REDUCED to normal form. ------ 140916/14840658. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(z (z z)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(z (z z)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(y (y y)))) 5. ==[ beta ]==> ((b a)(^y.(y (y y)))) 6. ==[ alpha ]==> ((b a)(^x.(x (x x)))) REDUCED to normal form. ------ 140917/14840736. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a a)((^x1.x1) a))) 3. ==[ eta ]==> ((^y.(^z.z))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140918/14840829. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 7. ==[ beta ]==> (^y.(^z.a)) 8. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 140919/14840910. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (b (^x1.x1)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 140920/14841153. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^b.b)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.x1)) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140921/14841180. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 140922/14841234. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.a)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.a)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.a)) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.a)) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.a)) 7. ==[ beta ]==> ((b b)(^y.a)) 8. ==[ alpha ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 140923/14841243. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 140924/14841273. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 140925/14841282. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> (a ((^y.(y y))((^z.z) b))) 4. ==[ alpha ]==> (a ((^x.(x x))((^y.y) b))) 5. ==[ beta ]==> (a (((^y.y) b)((^y.y) b))) 6. ==[ alpha ]==> (a (((^x.x) b)((^y.y) b))) 7. ==[ beta ]==> (a (b ((^y.y) b))) 8. ==[ alpha ]==> (a (b ((^x.x) b))) 9. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 140926/14841309. ------ 1. ==[ start ]==> (((a a) a)((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.a)((a a)(a a)))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 140927/14841336. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 140928/14841363. ------ 1. ==[ start ]==> (((^a.a) b)((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (b ((^y.y)((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> (b ((^x.x)((^y.(^z.z)) a))) 5. ==[ beta ]==> (b ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 140929/14841408. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((b (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((b (^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140930/14841471. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 140931/14841498. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 140932/14841552. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140933/14841633. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)(^d.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 140934/14841660. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 140935/14841687. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 140936/14841714. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 140937/14841777. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a) a)(a ((^y.(^z.z)) a))) 4. ==[ alpha ]==> (((a a) a)(a ((^x.(^y.y)) a))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 140938/14841804. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b (^z.z))(a a))) REDUCED to normal form. ------ 140939/14841831. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a (a a))(((a a)(a a))(a (^y.y)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 140940/14841858. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) b)((^y.y) a))) 3. ==[ beta ]==> ((a (a (a a)))(b ((^y.y) a))) 4. ==[ alpha ]==> ((a (a (a a)))(b ((^x.x) a))) 5. ==[ beta ]==> ((a (a (a a)))(b a)) REDUCED to normal form. ------ 140941/14842101. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)((^y.y) b))) 3. ==[ beta ]==> (((a a)(a (a a)))(a ((^y.y) b))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a ((^x.x) b))) 5. ==[ beta ]==> (((a a)(a (a a)))(a b)) REDUCED to normal form. ------ 140942/14842128. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 140943/14842155. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a a)(b (^z.z)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a a)(b (^z.z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)(b (^y.y)))) REDUCED to normal form. ------ 140944/14842218. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 140945/14842245. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((^y.y) b)(^z.a)) 6. ==[ alpha ]==> (((^x.x) b)(^y.a)) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 140946/14842299. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((b a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(^y.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 140947/14842353. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.b))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 9. ==[ beta ]==> ((a a)(^y.b)) 10. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 140948/14842362. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 140949/14842380. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a b)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 140950/14842389. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 140951/14842416. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 140952/14842443. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 140953/14842470. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 9. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 140954/14842767. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.b)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.b)(^y.(a a)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 140955/14842848. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.(^z1.(^x2.x2)))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.(^z2.z2))))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 140956/14842875. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 140957/14842902. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 140958/14842974. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a)) b)) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 140959/14842992. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a))(b (a (^y.y)))) 4. ==[ alpha ]==> (((a a)((a a) a))(b (a (^x.x)))) REDUCED to normal form. ------ 140960/14843019. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 140961/14843046. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((b a)(a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))((b a)(a (a a)))) REDUCED to normal form. ------ 140962/14843073. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)(((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 140963/14843100. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((a a) a))) 7. ==[ beta ]==> ((a (^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 140964/14843127. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b)(a b))) REDUCED to normal form. ------ 140965/14843154. ------ 1. ==[ start ]==> ((a (a b))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> ((a (a b))(((a a) a)(a a))) REDUCED to normal form. ------ 140966/14843325. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (b (((a a)(a a))(^z.z))) 4. ==[ alpha ]==> (b (((a a)(a a))(^x.x))) REDUCED to normal form. ------ 140967/14843334. ------ 1. ==[ start ]==> (((a b) a)((^c.(a a))(a a))) 2. ==[ alpha ]==> (((a b) a)((^x.(a a))(a a))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 140968/14843352. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 140969/14843361. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 140970/14843379. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 140971/14843433. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 140972/14843469. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.a)((^z.(a a))((a a) a))) 6. ==[ alpha ]==> ((^x.a)((^y.(a a))((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 140973/14843496. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 140974/14843514. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 140975/14843523. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 140976/14843541. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 140977/14843712. ------ 1. ==[ start ]==> (((^a.b) b)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 140978/14843955. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 140979/14843982. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 140980/14844009. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(a a))) REDUCED to normal form. ------ 140981/14844054. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) b)) 9. ==[ beta ]==> ((^y.y)((^z.z) b)) 10. ==[ alpha ]==> ((^x.x)((^y.y) b)) 11. ==[ beta ]==> ((^y.y) b) 12. ==[ alpha ]==> ((^x.x) b) 13. ==[ beta ]==> b REDUCED to normal form. ------ 140982/14844207. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)(a b))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(a b))) REDUCED to normal form. ------ 140983/14844234. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(a a))) 6. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(a a))) 7. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 140984/14844261. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> ((a ((a a) a))((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> ((a ((a a) a))((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 140985/14844288. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(b a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a (b a))) REDUCED to normal form. ------ 140986/14844315. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 140987/14844342. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a a)((^y.y) b))) 3. ==[ beta ]==> ((((a a) a) a)((a a)((^y.y) b))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)((^x.x) b))) 5. ==[ beta ]==> ((((a a) a) a)((a a) b)) REDUCED to normal form. ------ 140988/14844360. ------ 1. ==[ start ]==> (((^a.b) c)(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(a (^y.(a a)))) 3. ==[ beta ]==> (b (a (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 140989/14844459. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 140990/14844594. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 140991/14844603. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (((a b) c)(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a b) c)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 140992/14844630. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(b a))) 3. ==[ beta ]==> (((a a) b)((^y.a)(b a))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(b a))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 140993/14844657. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 140994/14844675. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 140995/14844702. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1) b) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) a)) 5. ==[ beta ]==> (((^y.y) b) a) 6. ==[ alpha ]==> (((^x.x) b) a) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 140996/14844711. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 140997/14844738. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 140998/14844756. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((b a) c)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((b a) c)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((b a) c)) REDUCED to normal form. ------ 140999/14844792. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141000/14844819. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 141001/14844846. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 141002/14844900. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 141003/14844990. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a b))(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a b))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 141004/14845017. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(a ((^x.x) b))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a b)) REDUCED to normal form. ------ 141005/14845044. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(a a))) 7. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a a))) 8. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 9. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 141006/14845071. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((b a)(a (^x.x)))) REDUCED to normal form. ------ 141007/14845098. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b) a)(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a b) a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 141008/14845125. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 141009/14845152. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a b)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a b)(^y.y))) REDUCED to normal form. ------ 141010/14845179. ------ 1. ==[ start ]==> ((a (b a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 141011/14845350. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 141012/14845413. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 141013/14845458. ------ 1. ==[ start ]==> (((^a.a)(b a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((b a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 141014/14845521. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 141015/14845539. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> (((a b)(a b))((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a b)(a b))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 141016/14845548. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.b))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (a a))(^x.b))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a (a a))(^x.b))((a a)(a a))) REDUCED to normal form. ------ 141017/14845602. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 141018/14845620. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 141019/14845629. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 141020/14845656. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 141021/14845908. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b (b a))) REDUCED to normal form. ------ 141022/14845935. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a) a)(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> (((a a) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 141023/14845962. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((b a)(a a))) REDUCED to normal form. ------ 141024/14846016. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a) a)) REDUCED to normal form. ------ 141025/14846295. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1)(a a))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141026/14846304. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 141027/14846322. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 141028/14846331. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 141029/14846349. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 141030/14846403. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (a a))(^z.b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (a a))(^z.b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (a a))(^z.b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))(^y.b))) 7. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.b))) 8. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.b))) REDUCED to normal form. ------ 141031/14846412. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a b)(a b))) REDUCED to normal form. ------ 141032/14846439. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z)(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 141033/14846493. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 141034/14846547. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 141035/14846601. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 141036/14846745. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)(a b))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a b))(b ((a a)(^y.y)))) 5. ==[ beta ]==> ((a b)(b ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a b)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 141037/14846772. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a (b a))) REDUCED to normal form. ------ 141038/14846799. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^y.y))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 141039/14846826. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a (a a)))((a a)(a (^y.y)))) 6. ==[ alpha ]==> (((a a)(a (a a)))((a a)(a (^x.x)))) REDUCED to normal form. ------ 141040/14846853. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a b)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a b)((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)((^y.y) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a b) a)) REDUCED to normal form. ------ 141041/14846907. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 141042/14846934. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a b)((a (a a))((a a) a))) REDUCED to normal form. ------ 141043/14847105. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b)(^z.a))) 3. ==[ beta ]==> (b ((a b)(^z.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 141044/14847213. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1) a)(^x2.b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a)(^x2.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141045/14847222. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 141046/14847249. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 141047/14847267. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 141048/14847276. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 141049/14847294. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((a a)(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(^y.y)) a) 6. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 141050/14847348. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a b) c)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a b) c)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a b) c)) REDUCED to normal form. ------ 141051/14847384. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.(z z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 141052/14847411. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 141053/14847438. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 141054/14847465. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 141055/14847492. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 141056/14847609. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a a) b)(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> (((a a) b)(((a a) a)((^x.x) a))) 5. ==[ beta ]==> (((a a) b)(((a a) a) a)) REDUCED to normal form. ------ 141057/14847636. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 141058/14847663. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b a))((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (b a))((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (b a))((a (a a))(^y.y))) 6. ==[ alpha ]==> ((a (b a))((a (a a))(^x.x))) REDUCED to normal form. ------ 141059/14847690. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 141060/14847717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(a b))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a b))) 7. ==[ beta ]==> ((a a)((a (^y.y))(a b))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(a b))) REDUCED to normal form. ------ 141061/14847744. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a b))((a a)(a a))) REDUCED to normal form. ------ 141062/14847969. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 141063/14848212. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141064/14848437. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.b)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) b) REDUCED to normal form. ------ 141065/14848455. ------ 1. ==[ start ]==> (((^a.b)(a b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 141066/14848464. ------ 1. ==[ start ]==> (((a b)(^a.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 141067/14848518. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 141068/14848572. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 141069/14848599. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.x1)(a b))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(a b))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 141070/14848626. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) b) REDUCED to normal form. ------ 141071/14848743. ------ 1. ==[ start ]==> (((a (a a))(b a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(b a))(c (^y.y))) 4. ==[ alpha ]==> (((a (a a))(b a))(c (^x.x))) REDUCED to normal form. ------ 141072/14848770. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b ((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b ((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b ((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))(b ((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(b ((a a) a))) REDUCED to normal form. ------ 141073/14848797. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a (a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a (a b))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (a b))) REDUCED to normal form. ------ 141074/14848824. ------ 1. ==[ start ]==> (((a b)(a b))(((a a) a)(a a))) REDUCED to normal form. ------ 141075/14848851. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a a)((a a) a))(a (^y.y))) 8. ==[ alpha ]==> (((a a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 141076/14848878. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a (a a)) a)) REDUCED to normal form. ------ 141077/14848932. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 141078/14848959. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a a)((a a) a))) 3. ==[ beta ]==> ((b (a (^y.y)))((a a)((a a) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a a)((a a) a))) REDUCED to normal form. ------ 141079/14849103. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (^x2.x2))(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x2.x2))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141080/14849184. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 141081/14849463. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (^z.a))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 141082/14849481. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^z1.z1)(^x2.x2))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 141083/14849490. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 141084/14849562. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 141085/14849571. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 141086/14849598. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.b))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 141087/14849679. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 141088/14849706. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 141089/14849733. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 141090/14849796. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 141091/14849823. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 141092/14849850. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a a)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) b))((a a)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a a)(a (a a)))) 5. ==[ beta ]==> ((a b)((a a)(a (a a)))) REDUCED to normal form. ------ 141093/14850066. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(b a)) REDUCED to normal form. ------ 141094/14850093. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(a (a (a a)))) 3. ==[ beta ]==> ((b ((^y.y) a))(a (a (a a)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(a (a (a a)))) 5. ==[ beta ]==> ((b a)(a (a (a a)))) REDUCED to normal form. ------ 141095/14850120. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 141096/14850174. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 141097/14850264. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.a))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.a))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 141098/14850345. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 141099/14850453. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141100/14850570. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(b (^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(b (^z.z))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.z))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.y))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 141101/14850588. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z) b)) 5. ==[ beta ]==> ((^y.y)((^z.z) b)) 6. ==[ alpha ]==> ((^x.x)((^y.y) b)) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 141102/14850615. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 141103/14850669. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.z) a)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.z) a)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.z) a)) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.z) a)) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.y) a)) 7. ==[ beta ]==> ((b b)((^y.y) a)) 8. ==[ alpha ]==> ((b b)((^x.x) a)) 9. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 141104/14850678. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 141105/14850695. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(x (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141106/14850696. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 141107/14860116. ------ 1. ==[ start ]==> (((a (a a))(^b.b)) c) 2. ==[ alpha ]==> (((a (a a))(^x.x)) c) REDUCED to normal form. ------ 141108/14860140. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141109/14860167. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> (((^y.(y y))((^z.z) b))((^y.(y y))((^z.z) b))) 4. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.(z z))((^x1.x1) b))) 5. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.(z z))((^x1.x1) b))) 6. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.(z z))((^x1.x1) b))) 7. ==[ beta ]==> ((b ((^y.y) b))((^z.(z z))((^x1.x1) b))) 8. ==[ alpha ]==> ((b ((^x.x) b))((^y.(y y))((^z.z) b))) 9. ==[ beta ]==> ((b b)((^y.(y y))((^z.z) b))) 10. ==[ alpha ]==> ((b b)((^x.(x x))((^y.y) b))) 11. ==[ beta ]==> ((b b)(((^y.y) b)((^y.y) b))) 12. ==[ alpha ]==> ((b b)(((^x.x) b)((^y.y) b))) 13. ==[ beta ]==> ((b b)(b ((^y.y) b))) 14. ==[ alpha ]==> ((b b)(b ((^x.x) b))) 15. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 141110/14860194. ------ 1. ==[ start ]==> ((^a.b)((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)((a a)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 141111/14860251. ------ 1. ==[ start ]==> (((a a)(a a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(a a))(^x.((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a)(a a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 141112/14860464. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a))(^x1.(a a)))) 3. ==[ eta ]==> ((^y.y)((^z.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 141113/14860635. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (b (^z.z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 141114/14860959. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141115/14861439. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(y (^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(y (^z.z)))) 6. ==[ alpha ]==> ((a a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 141116/14861517. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((^y.y)(^z.a))((^y.y)(^z.a)))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.a))((^z.z)(^x1.a)))((^y1.y1)(^z1.a))) 5. ==[ beta ]==> (((^y.a)((^z.z)(^x1.a)))((^y1.y1)(^z1.a))) 6. ==[ alpha ]==> (((^x.a)((^y.y)(^z.a)))((^x1.x1)(^y1.a))) 7. ==[ beta ]==> (a ((^x1.x1)(^y1.a))) 8. ==[ alpha ]==> (a ((^x.x)(^y.a))) 9. ==[ beta ]==> (a (^y.a)) 10. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 141117/14861850. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(a a))(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 141118/14862546. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((a a)(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.((a a)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.((a a)(a a)))) 7. ==[ beta ]==> (a (^y.((a a)(a a)))) 8. ==[ alpha ]==> (a (^x.((a a)(a a)))) REDUCED to normal form. ------ 141119/14862624. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.(^y1.y1)))(^z1.a))((^z.(^x1.(^y1.y1)))(^z1.a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.(^x1.x1)))(^y1.a))((^z1.(^x2.(^y2.y2)))(^z2.a)))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.a))((^z1.(^x2.(^y2.y2)))(^z2.a))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.(^x2.x2)))(^y2.a))) 7. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(^y2.a))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141120/14863248. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 141121/14863299. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((((^z.(^x1.(^y1.y1)))(a (^z1.z1)))((^z.(^x1.(^y1.y1)))(a (^z1.z1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (^y2.y2))))(^z2.z2)) 5. ==[ beta ]==> (((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(a (^y2.y2))))(^z2.z2)) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1))))(^x2.x2)) 7. ==[ beta ]==> ((^y.y)(^x2.x2)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141122/14863896. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 141123/14864508. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 141124/14864814. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 141125/14865372. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 141126/14866155. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 141127/14866416. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((y1 y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141128/14866650. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 141129/14866809. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a)((a a) a))) 3. ==[ beta ]==> ((((^y.a)((a a) a))((^y.a)((a a) a)))(((^y.a)((a a) a))((^y.a)((a a) a)))) 4. ==[ alpha ]==> ((((^x.a)((a a) a))((^y.a)((a a) a)))(((^z.a)((a a) a))((^x1.a)((a a) a)))) 5. ==[ beta ]==> ((a ((^y.a)((a a) a)))(((^z.a)((a a) a))((^x1.a)((a a) a)))) 6. ==[ alpha ]==> ((a ((^x.a)((a a) a)))(((^y.a)((a a) a))((^z.a)((a a) a)))) 7. ==[ beta ]==> ((a a)(((^y.a)((a a) a))((^z.a)((a a) a)))) 8. ==[ alpha ]==> ((a a)(((^x.a)((a a) a))((^y.a)((a a) a)))) 9. ==[ beta ]==> ((a a)(a ((^y.a)((a a) a)))) 10. ==[ alpha ]==> ((a a)(a ((^x.a)((a a) a)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 141130/14867091. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.((^z1.z1)(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1)(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141131/14867478. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 141132/14867676. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(^z.y))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.y))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 141133/14867865. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(^y.b))) REDUCED to normal form. ------ 141134/14867889. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141135/14868477. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 141136/14868756. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 141137/14868864. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(a (a a)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(a (a a)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(a (a a)))) REDUCED to normal form. ------ 141138/14868972. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 141139/14869050. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(b (^b.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(b (^x1.a))) 3. ==[ eta ]==> ((^y.(^z.z))(b (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141140/14869224. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^d.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (b (^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 141141/14869548. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(z z))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(z z))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(z z))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(z z))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(y y))) 7. ==[ beta ]==> ((b b)(^y.(y y))) 8. ==[ alpha ]==> ((b b)(^x.(x x))) REDUCED to normal form. ------ 141142/14869557. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 141143/14869587. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 141144/14869605. ------ 1. ==[ start ]==> (((^a.a) a)((a (a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.y))) 3. ==[ beta ]==> (a ((a (a a))(^y.y))) 4. ==[ alpha ]==> (a ((a (a a))(^x.x))) REDUCED to normal form. ------ 141145/14869614. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y) b))) 3. ==[ beta ]==> ((a (a a))(((^y.y) b)((^y.y) b))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b)((^y.y) b))) 5. ==[ beta ]==> ((a (a a))(b ((^y.y) b))) 6. ==[ alpha ]==> ((a (a a))(b ((^x.x) b))) 7. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 141146/14869641. ------ 1. ==[ start ]==> ((a b)((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a b)((^x.a)((a a)(a a)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 141147/14869695. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 141148/14869713. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a) a)) 5. ==[ beta ]==> (((^y.(^z.z)) a) a) 6. ==[ alpha ]==> (((^x.(^y.y)) a) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 141149/14869740. ------ 1. ==[ start ]==> (((a a) b)((b (^a.a)) b)) 2. ==[ alpha ]==> (((a a) b)((b (^x.x)) b)) REDUCED to normal form. ------ 141150/14869911. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 141151/14870082. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (b (^y.y)))) REDUCED to normal form. ------ 141152/14870190. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> ((((^y.y) b)((^z.z) a))(((^y.y) b)((^z.z) a))) 6. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(((^z.z) b)((^x1.x1) a))) 7. ==[ beta ]==> ((b ((^y.y) a))(((^z.z) b)((^x1.x1) a))) 8. ==[ alpha ]==> ((b ((^x.x) a))(((^y.y) b)((^z.z) a))) 9. ==[ beta ]==> ((b a)(((^y.y) b)((^z.z) a))) 10. ==[ alpha ]==> ((b a)(((^x.x) b)((^y.y) a))) 11. ==[ beta ]==> ((b a)(b ((^y.y) a))) 12. ==[ alpha ]==> ((b a)(b ((^x.x) a))) 13. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 141153/14870217. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 141154/14870271. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 7. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 8. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 141155/14870298. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(a b))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(a b))) 5. ==[ beta ]==> ((a (a a))((a a)(a b))) REDUCED to normal form. ------ 141156/14870325. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 141157/14870379. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(b a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(b a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(b a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(b a))) 7. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 141158/14870406. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 141159/14870631. ------ 1. ==[ start ]==> (((a (a a)) b)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 141160/14870685. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 141161/14870712. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)(^z.(a a)))) REDUCED to normal form. ------ 141162/14870739. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 141163/14870793. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (a a))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 141164/14870829. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z) b))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 141165/14870856. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 141166/14870883. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(b (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(b (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.x)(b (^y.y)))) 7. ==[ beta ]==> ((a a)(b (^y.y))) 8. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 141167/14870964. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.a))) 3. ==[ beta ]==> ((a ((a a) a))(^y.a)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.a)) REDUCED to normal form. ------ 141168/14871297. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(a a))(a a))) REDUCED to normal form. ------ 141169/14871486. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.b)(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.b)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 141170/14871567. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(a (^x1.(^y1.y1))))) IRREDUCIBLE: cycle. ------ 141171/14871657. ------ 1. ==[ start ]==> (((a b) a)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b) a)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 141172/14871684. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 141173/14871738. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.(z z)))) REDUCED to normal form. ------ 141174/14871765. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 141175/14871792. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 141176/14871819. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(^z.b))) REDUCED to normal form. ------ 141177/14871846. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 141178/14871882. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 141179/14871909. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((b a)(b a))) REDUCED to normal form. ------ 141180/14871936. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 141181/14871963. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 141182/14871990. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)((a a)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)((a a)(a a)))) 7. ==[ beta ]==> (a ((^y.y)((a a)(a a)))) 8. ==[ alpha ]==> (a ((^x.x)((a a)(a a)))) 9. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 141183/14872035. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) b) b)) 3. ==[ beta ]==> (b (((^y.y) b) b)) 4. ==[ alpha ]==> (b (((^x.x) b) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 141184/14872044. ------ 1. ==[ start ]==> (((a b)(a a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 141185/14872071. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 141186/14872323. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(b ((^z.z) b))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z) b))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 141187/14872377. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) b)(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) b)(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) b)(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b)(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(a a))) 9. ==[ beta ]==> ((^y.y)(((^z.z) b)(a a))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a a))) 11. ==[ beta ]==> (((^y.y) b)(a a)) 12. ==[ alpha ]==> (((^x.x) b)(a a)) 13. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 141188/14872386. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 141189/14872458. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (b (((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 141190/14872665. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b (^b.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(b (^y.y))) 3. ==[ beta ]==> ((((a a) a) a)(b (^y.y))) 4. ==[ alpha ]==> ((((a a) a) a)(b (^x.x))) REDUCED to normal form. ------ 141191/14872692. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 141192/14872719. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 141193/14872746. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 141194/14872926. ------ 1. ==[ start ]==> (((a b) c)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 141195/14872980. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 141196/14873034. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(b a)) REDUCED to normal form. ------ 141197/14873061. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (^y.b))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 141198/14873313. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 141199/14873340. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 141200/14873592. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (b (((^z.z) a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (b (((^x.x) a)((a a)(^y.y)))) 7. ==[ beta ]==> (b (a ((a a)(^y.y)))) 8. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 141201/14873736. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 141202/14873844. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.b))) 7. ==[ beta ]==> ((a (^x.(a a)))(^z.b)) 8. ==[ alpha ]==> ((a (^x.(a a)))(^y.b)) REDUCED to normal form. ------ 141203/14873871. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 141204/14873952. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 141205/14873979. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 141206/14874006. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((b a) b)) REDUCED to normal form. ------ 141207/14874069. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 141208/14874096. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 141209/14874150. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 141210/14874177. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(a a)))) 7. ==[ beta ]==> (((a a) a)((^y.(a a))(^y.(a a)))) 8. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(a a)))) 9. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 141211/14874204. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 141212/14874258. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 141213/14874348. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(a a))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(a a))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141214/14874429. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((a a)(((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((a a) a))) 7. ==[ beta ]==> ((a a)((^y.y)((a a) a))) 8. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 141215/14874510. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 141216/14874627. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.a))) REDUCED to normal form. ------ 141217/14874654. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a b)(^x1.(x1 x1)))) REDUCED to normal form. ------ 141218/14874735. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a))(^y.b))) REDUCED to normal form. ------ 141219/14874762. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 141220/14874843. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((b a) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((b a) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((b a) a)) REDUCED to normal form. ------ 141221/14874870. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 141222/14874987. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 141223/14875014. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.b)(^z.b))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(^z.b))) 7. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 141224/14875041. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 141225/14875068. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 141226/14875266. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 141227/14875293. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(a b)) 6. ==[ alpha ]==> (((^x.x) a)(a b)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 141228/14875545. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a (^x1.b))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.b))) REDUCED to normal form. ------ 141229/14875572. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((b a)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((b a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 141230/14875599. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 141231/14875626. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a a)(^y1.y1)) a)) REDUCED to normal form. ------ 141232/14875860. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(a ((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141233/14875896. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(a a)) b)) 3. ==[ beta ]==> ((b (^y.y))((^z.(a a)) b)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(a a)) b)) 5. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 141234/14876067. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(b (^x.(a a)))) REDUCED to normal form. ------ 141235/14876094. ------ 1. ==[ start ]==> (((a b)((a a) a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 141236/14876121. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a a))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 141237/14876148. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) b) REDUCED to normal form. ------ 141238/14876202. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 141239/14876229. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((b (a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((b (a a))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((b (a a))((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((b (a a))((^y.y)(^z.z))) 10. ==[ alpha ]==> ((b (a a))((^x.x)(^y.y))) 11. ==[ beta ]==> ((b (a a))(^y.y)) 12. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 141240/14876256. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.a)((a a) a))) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 141241/14876535. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(a ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141242/14876571. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.b) b)) 3. ==[ beta ]==> ((b b)((^y.b) b)) 4. ==[ alpha ]==> ((b b)((^x.b) b)) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 141243/14876616. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 8. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 141244/14876643. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 141245/14876697. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((b a)(b a))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 141246/14876760. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a b)(^y.y))) REDUCED to normal form. ------ 141247/14876787. ------ 1. ==[ start ]==> (((a b)(^a.b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 141248/14876841. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(^x1.(x1 x1)))) REDUCED to normal form. ------ 141249/14876895. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 141250/14876922. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a a)(^x1.b))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 141251/14876949. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a b) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a b) a)) REDUCED to normal form. ------ 141252/14877012. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 141253/14877039. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.(x1 x1))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 141254/14877066. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 141255/14877120. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.y)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.b))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.b)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.b)) REDUCED to normal form. ------ 141256/14877282. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b (^z.a))) 3. ==[ beta ]==> ((b (a (^y.y)))(b (^z.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 141257/14877309. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(a (^x.b))) REDUCED to normal form. ------ 141258/14877336. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a)(a a))) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 141259/14877615. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(b ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141260/14877651. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a) a)) 3. ==[ beta ]==> ((b c)((^y.a) a)) 4. ==[ alpha ]==> ((b c)((^x.a) a)) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 141261/14877678. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y)) b)) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 141262/14877723. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((b (^x.x))(a ((^z.z) a))) 6. ==[ alpha ]==> ((b (^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 141263/14877750. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(a (a a))) 6. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 141264/14877813. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 141265/14877885. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(c d)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 141266/14877894. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 141267/14877921. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 141268/14878173. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(b (^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y) b))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(b (^y.(y y)))) 5. ==[ beta ]==> ((a b)(b (^y.(y y)))) 6. ==[ alpha ]==> ((a b)(b (^x.(x x)))) REDUCED to normal form. ------ 141269/14878200. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 141270/14878227. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(a a))) 5. ==[ beta ]==> ((b a)((^y.(y y))(a a))) 6. ==[ alpha ]==> ((b a)((^x.(x x))(a a))) 7. ==[ beta ]==> ((b a)((a a)(a a))) REDUCED to normal form. ------ 141271/14878254. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x))) a) REDUCED to normal form. ------ 141272/14878281. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 141273/14878308. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a a)(a b))(a (a a))) REDUCED to normal form. ------ 141274/14878335. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 141275/14878389. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 141276/14878416. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((b a)(^y.(y y))) 8. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 141277/14878497. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(b (^b.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(b (^z.a))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.a))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 141278/14878587. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b c)) 3. ==[ beta ]==> (((^y.y)(^y.y))(b c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b c)) 5. ==[ beta ]==> ((^y.y)(b c)) 6. ==[ alpha ]==> ((^x.x)(b c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 141279/14878668. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> (b (b (a (^x1.x1)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 141280/14878776. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(c a)) 3. ==[ beta ]==> ((^y.(^z.z))(c a)) 4. ==[ alpha ]==> ((^x.(^y.y))(c a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141281/14878893. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) a)) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 141282/14878911. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((a a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((a a)(a a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((a a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)(a a))) 5. ==[ beta ]==> ((^y.y)((a a)(a a))) 6. ==[ alpha ]==> ((^x.x)((a a)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 141283/14878938. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 141284/14878992. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(a (a a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(a (a a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(a (a a))) 5. ==[ beta ]==> ((b ((^y.y) b))(a (a a))) 6. ==[ alpha ]==> ((b ((^x.x) b))(a (a a))) 7. ==[ beta ]==> ((b b)(a (a a))) REDUCED to normal form. ------ 141285/14879001. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^a.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) a)) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 141286/14879027. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^x.((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^x.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 141287/14879028. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (a ((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (a ((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 141288/14888475. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a)))) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) a) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1)))) a) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1)))) a) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141289/14888481. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 141290/14888490. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141291/14888508. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))(^b.b))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.y))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 141292/14888535. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 141293/14888571. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(b (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141294/14888616. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> ((((^z.(^x1.x1)) a) a)(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.z)) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 141295/14888733. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 141296/14889393. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(b (^z.z)))) 3. ==[ beta ]==> ((b b)(^y.(b (^z.z)))) 4. ==[ alpha ]==> ((b b)(^x.(b (^y.y)))) REDUCED to normal form. ------ 141297/14889426. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((b (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141298/14889858. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) b) c)) 3. ==[ beta ]==> (((((^y.y) b) c)(((^y.y) b) c))(((^y.y) b) c)) 4. ==[ alpha ]==> (((((^x.x) b) c)(((^y.y) b) c))(((^z.z) b) c)) 5. ==[ beta ]==> (((b c)(((^y.y) b) c))(((^z.z) b) c)) 6. ==[ alpha ]==> (((b c)(((^x.x) b) c))(((^y.y) b) c)) 7. ==[ beta ]==> (((b c)(b c))(((^y.y) b) c)) 8. ==[ alpha ]==> (((b c)(b c))(((^x.x) b) c)) 9. ==[ beta ]==> (((b c)(b c))(b c)) REDUCED to normal form. ------ 141299/14890176. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(b (^z.z)))) REDUCED to normal form. ------ 141300/14890527. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 141301/14890758. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(((^z.a)((^x1.x1)(a a)))((^z.a)((^x1.x1)(a a))))) 4. ==[ alpha ]==> (^x.(((^y.a)((^z.z)(a a)))((^x1.a)((^y1.y1)(a a))))) 5. ==[ beta ]==> (^x.(a ((^x1.a)((^y1.y1)(a a))))) 6. ==[ alpha ]==> (^x.(a ((^y.a)((^z.z)(a a))))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 141302/14891580. ------ 1. ==[ start ]==> (((^a.b) c)(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.((^z.z) b))) 3. ==[ beta ]==> (b (^y.((^z.z) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 141303/14891640. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a (^z.(^x1.x1)))(^y1.(^z1.z1)))((a (^z.(^x1.x1)))(^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2))))(^z2.z2)) REDUCED to normal form. ------ 141304/14891922. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))((^z.z)(a a)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141305/14892570. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 141306/14893836. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141307/14894514. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 141308/14894757. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141309/14894766. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) REDUCED to normal form. ------ 141310/14895432. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141311/14896230. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141312/14896548. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.((y y) y))) 3. ==[ beta ]==> ((b c)(^y.((y y) y))) 4. ==[ alpha ]==> ((b c)(^x.((x x) x))) REDUCED to normal form. ------ 141313/14896683. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 141314/14897205. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 141315/14897313. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^c.d)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.d)) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.d)) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.d)) 5. ==[ beta ]==> ((b a)(^y.d)) 6. ==[ alpha ]==> ((b a)(^x.d)) REDUCED to normal form. ------ 141316/14897673. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141317/14897790. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y (^z.z)))) 5. ==[ beta ]==> (a (^y.(y (^z.z)))) 6. ==[ alpha ]==> (a (^x.(x (^y.y)))) REDUCED to normal form. ------ 141318/14897835. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 141319/14897889. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(^x1.x1))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(^z.z))) 7. ==[ beta ]==> ((b b)(^y.(^z.z))) 8. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 141320/14897898. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y y))) REDUCED to normal form. ------ 141321/14897925. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.z1)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.z1)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141322/14897937. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 141323/14897946. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 141324/14897964. ------ 1. ==[ start ]==> ((a (a a))((a (a a))(^b.b))) 2. ==[ alpha ]==> ((a (a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 141325/14897973. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) b))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) b)) 7. ==[ beta ]==> (((^y.y) b)((^y.y) b)) 8. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 9. ==[ beta ]==> (b ((^y.y) b)) 10. ==[ alpha ]==> (b ((^x.x) b)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 141326/14897991. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(^c.(a a)))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> ((a b)(a (^y.(a a)))) 4. ==[ alpha ]==> ((a b)(a (^x.(a a)))) REDUCED to normal form. ------ 141327/14898000. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((a a)(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)((a a)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)((a a)(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 141328/14898027. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 141329/14898072. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) a)) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 141330/14898162. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 141331/14898189. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 141332/14898270. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 141333/14898297. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 141334/14898351. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 141335/14898378. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141336/14898522. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a a)(((a a)(a a))(a (^y.y)))) 4. ==[ alpha ]==> ((a a)(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 141337/14898603. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)((b a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a b)((b a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a b)((b a)(^y.y))) 6. ==[ alpha ]==> ((a b)((b a)(^x.x))) REDUCED to normal form. ------ 141338/14898630. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 141339/14898657. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(a b))) REDUCED to normal form. ------ 141340/14898684. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a b)(a a))) REDUCED to normal form. ------ 141341/14898711. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((a a)(^z.z)))) REDUCED to normal form. ------ 141342/14898738. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(b a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(b a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(b a)) REDUCED to normal form. ------ 141343/14898846. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a a)(b (^y.y)))) 3. ==[ beta ]==> ((b b)((a a)(b (^y.y)))) 4. ==[ alpha ]==> ((b b)((a a)(b (^x.x)))) REDUCED to normal form. ------ 141344/14898882. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 141345/14898972. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141346/14899053. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(a a))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 141347/14899179. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 141348/14899260. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((b (^y.y)) a)) REDUCED to normal form. ------ 141349/14899287. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(a a)) b)) 5. ==[ beta ]==> ((a a)(((a a)(a a)) b)) REDUCED to normal form. ------ 141350/14899314. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) b) c)) 3. ==[ beta ]==> ((a ((a a) a))(b c)) REDUCED to normal form. ------ 141351/14899350. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141352/14899404. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 141353/14899566. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.z))) 7. ==[ beta ]==> ((a a)((^y.a)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 141354/14899575. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c ((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(^x.a))(c b)) REDUCED to normal form. ------ 141355/14899602. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(b ((a a)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b ((a a)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141356/14899629. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(a (b (^y.y)))) REDUCED to normal form. ------ 141357/14899692. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1) c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) c)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) c) REDUCED to normal form. ------ 141358/14899818. ------ 1. ==[ start ]==> (((^a.b) a)((a b)(a b))) 2. ==[ alpha ]==> (((^x.b) a)((a b)(a b))) 3. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 141359/14899980. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)((a a)(a a)))) REDUCED to normal form. ------ 141360/14900025. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a b)((^y.(a a))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 141361/14900052. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 141362/14900187. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.b)(a b))) 3. ==[ beta ]==> (b ((^y.b)(a b))) 4. ==[ alpha ]==> (b ((^x.b)(a b))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 141363/14900214. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 141364/14900232. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 141365/14900286. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 141366/14900313. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 141367/14900367. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a)(a a)) a)) REDUCED to normal form. ------ 141368/14900394. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) b) b)) 3. ==[ beta ]==> (((a b)(a a))(b b)) REDUCED to normal form. ------ 141369/14900430. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 141370/14900511. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 7. ==[ beta ]==> ((^y.(a a))(^z.a)) 8. ==[ alpha ]==> ((^x.(a a))(^y.a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 141371/14900592. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141372/14900646. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 141373/14900655. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (a (^y.(^z.z))))) REDUCED to normal form. ------ 141374/14900673. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141375/14900682. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b ((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(b b)) REDUCED to normal form. ------ 141376/14900736. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 141377/14900763. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> (((a (^y.(^z.z)))(a (^x1.x1)))((a (^y.(^z.z)))(a (^x1.x1)))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) REDUCED to normal form. ------ 141378/14900790. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((b a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((b a) a)) REDUCED to normal form. ------ 141379/14900817. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z))(a (a a)))) REDUCED to normal form. ------ 141380/14900844. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 141381/14901033. ------ 1. ==[ start ]==> (((^a.b) c)((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) c)((a a)((^y.y) b))) 3. ==[ beta ]==> (b ((a a)((^y.y) b))) 4. ==[ alpha ]==> (b ((a a)((^x.x) b))) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 141382/14901069. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) b)(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(b (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(b (^x.x))) REDUCED to normal form. ------ 141383/14901096. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 141384/14901267. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141385/14901348. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 141386/14901375. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) b))) 5. ==[ beta ]==> ((^y.y)((^z.z) b)) 6. ==[ alpha ]==> ((^x.x)((^y.y) b)) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 141387/14901429. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 141388/14901510. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 141389/14901717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 141390/14901744. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 141391/14902023. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 141392/14902131. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((b a)((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((b a)((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 141393/14902158. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 141394/14902212. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 141395/14902293. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(b a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141396/14902635. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 141397/14902680. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141398/14902860. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 141399/14902995. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 141400/14903022. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(a (a a))) 6. ==[ alpha ]==> ((^x.b)(a (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 141401/14903076. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((a a) a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((a a) a))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 141402/14903157. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141403/14903265. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141404/14903292. ------ 1. ==[ start ]==> ((a (^b.b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 141405/14903526. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(a a)) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(a a)) c)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a)) c)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 141406/14903571. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141407/14903778. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 141408/14903886. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(z1 z1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(z1 z1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141409/14903940. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141410/14903967. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.y1)((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 141411/14904021. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 141412/14904102. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141413/14904219. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a ((a a)(^y1.y1)))) REDUCED to normal form. ------ 141414/14904246. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> ((b (^x.x))((a a)(a a))) REDUCED to normal form. ------ 141415/14904282. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.b) c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.b) c)) 3. ==[ beta ]==> (((a a) b)((^y.b) c)) 4. ==[ alpha ]==> (((a a) b)((^x.b) c)) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 141416/14904471. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 141417/14904498. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 141418/14904552. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.(y1 y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 141419/14904579. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((b (a a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((b (a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 141420/14904642. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141421/14904777. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141422/14904885. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.y1)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141423/14904921. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a b)(a a))) 3. ==[ beta ]==> ((b b)((a b)(a a))) REDUCED to normal form. ------ 141424/14904948. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 141425/14905002. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(a (a a)))) REDUCED to normal form. ------ 141426/14905029. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a ((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.y1))) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 141427/14905047. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c (^y.a))) 3. ==[ beta ]==> (((b a)(b a))(c (^y.a))) 4. ==[ alpha ]==> (((b a)(b a))(c (^x.a))) REDUCED to normal form. ------ 141428/14905128. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.b)(a a))) 3. ==[ beta ]==> (b ((^y.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 141429/14905236. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141430/14905335. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((a a) a) b)) REDUCED to normal form. ------ 141431/14905362. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.z) c)) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) c)) 7. ==[ beta ]==> (((a (^x.x)) b) c) REDUCED to normal form. ------ 141432/14905497. ------ 1. ==[ start ]==> (((a b)(a b))((^a.b) a)) 2. ==[ alpha ]==> (((a b)(a b))((^x.b) a)) 3. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 141433/14905551. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 141434/14905686. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 141435/14905776. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.a)(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.a)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141436/14905857. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 141437/14905965. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141438/14906001. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(a ((a a) a))) 3. ==[ beta ]==> ((b c)(a ((a a) a))) REDUCED to normal form. ------ 141439/14906028. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> ((((a a)(a a)) b)((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(a a))) 5. ==[ beta ]==> ((((a a)(a a)) b)(a a)) REDUCED to normal form. ------ 141440/14906136. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 141441/14906235. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 141442/14906244. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(c d)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(c d)) REDUCED to normal form. ------ 141443/14906343. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141444/14906379. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(c ((^z.z) a))) 3. ==[ beta ]==> ((b (^y.a))(c ((^z.z) a))) 4. ==[ alpha ]==> ((b (^x.a))(c ((^y.y) a))) 5. ==[ beta ]==> ((b (^x.a))(c a)) REDUCED to normal form. ------ 141445/14906406. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 141446/14906469. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)(b (^x.x)))(b b)) REDUCED to normal form. ------ 141447/14906496. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.a) c)) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a))) a) REDUCED to normal form. ------ 141448/14906577. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (a a))(^z.z))) 3. ==[ beta ]==> (((^y.y)(b a))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((^x.x)(b a))((a (a a))(^y.y))) 5. ==[ beta ]==> ((b a)((a (a a))(^y.y))) 6. ==[ alpha ]==> ((b a)((a (a a))(^x.x))) REDUCED to normal form. ------ 141449/14906604. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 141450/14906631. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a a))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 141451/14906658. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a b))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a b))((a a)(^x.(x x)))) REDUCED to normal form. ------ 141452/14906685. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 141453/14906793. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 141454/14906937. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141455/14907018. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141456/14907126. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141457/14907243. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(a (a (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)(a (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (a (^y.y)))) 6. ==[ alpha ]==> (a (a (a (^x.x)))) REDUCED to normal form. ------ 141458/14907261. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(b (^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(b (^z.z))) 5. ==[ beta ]==> ((^y.y)(b (^z.z))) 6. ==[ alpha ]==> ((^x.x)(b (^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141459/14907288. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 141460/14907342. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.y)(^z.z))) 7. ==[ beta ]==> ((b b)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((b b)((^x.x)(^y.y))) 9. ==[ beta ]==> ((b b)(^y.y)) 10. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 141461/14907351. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(a (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (a a))) REDUCED to normal form. ------ 141462/14907378. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(a a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(a a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(a a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141463/14916834. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a)))) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) b) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1)))) b) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1)))) b) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141464/14916858. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141465/14916978. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (^y.((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141466/14917392. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 141467/14917443. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^y.y)))((((a a)(a a))(a (^y.y)))(((a a)(a a))(a (^y.y))))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((((a a)(a a))(a (^y.y)))(((a a)(a a))(a (^z.z))))) REDUCED to normal form. ------ 141468/14918739. ------ 1. ==[ start ]==> ((^a.(a b))((a b)(a b))) 2. ==[ alpha ]==> ((^x.(x b))((a b)(a b))) 3. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 141469/14919126. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> (^y.((((a a) a)(^z.(a a)))(((a a) a)(^z.(a a))))) 4. ==[ alpha ]==> (^x.((((a a) a)(^y.(a a)))(((a a) a)(^z.(a a))))) REDUCED to normal form. ------ 141470/14919948. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(^b.b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 141471/14919957. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 141472/14920299. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 141473/14920632. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.z1) b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1) b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1) b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) b))) 7. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) b))) 8. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 9. ==[ beta ]==> (^y.((^z.z) b)) 10. ==[ alpha ]==> (^x.((^y.y) b)) 11. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 141474/14920764. ------ 1. ==[ start ]==> ((^a.(b a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a b)((^y.y)(^z.z)))) 3. ==[ eta ]==> (b ((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a b)(^y.y))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 141475/14921244. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 141476/14921550. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 141477/14921601. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x1.x1))(a (^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 141478/14922108. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(z a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(z a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y a))) REDUCED to normal form. ------ 141479/14922387. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(b z))) 3. ==[ eta ]==> (((a b)((^x.x)(^y.y))) b) 4. ==[ beta ]==> (((a b)(^y.y)) b) 5. ==[ alpha ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 141480/14922519. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 141481/14922891. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.((a a)(^z1.z1)))) REDUCED to normal form. ------ 141482/14923134. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 141483/14923359. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 141484/14924025. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 141485/14924214. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(a y))) 3. ==[ eta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 141486/14924412. ------ 1. ==[ start ]==> (((a b)(a b))(^a.(a b))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(x b))) REDUCED to normal form. ------ 141487/14924916. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.a))) 3. ==[ beta ]==> ((b c)(^y.(^z.a))) 4. ==[ alpha ]==> ((b c)(^x.(^y.a))) REDUCED to normal form. ------ 141488/14925708. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(y (y y)))) REDUCED to normal form. ------ 141489/14925759. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ eta ]==> ((^y.(^z.z))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141490/14926041. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141491/14926158. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 141492/14926203. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141493/14926257. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^c.a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.a)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.a)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.a)) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.a)) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.a)) 7. ==[ beta ]==> ((b b)(^y.a)) 8. ==[ alpha ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 141494/14926266. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 141495/14926293. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141496/14926323. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 141497/14926332. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (a ((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 141498/14926350. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 141499/14926359. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y) b))) 3. ==[ beta ]==> (((a a) a)(((^y.y) b)((^y.y) b))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b)((^y.y) b))) 5. ==[ beta ]==> (((a a) a)(b ((^y.y) b))) 6. ==[ alpha ]==> (((a a) a)(b ((^x.x) b))) 7. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 141500/14926386. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 141501/14926413. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(b (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(b (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141502/14926440. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141503/14926458. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.(^y1.y1)) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.(^y1.y1)) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.x1)) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141504/14926485. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((b (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) b)) 5. ==[ beta ]==> ((b (^y.y)) b) 6. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 141505/14926548. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 141506/14926683. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 141507/14926737. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 141508/14926764. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 141509/14926791. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 141510/14926827. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (b (^y.y)))) 3. ==[ beta ]==> (((a a) a)(b (b (^y.y)))) 4. ==[ alpha ]==> (((a a) a)(b (b (^x.x)))) REDUCED to normal form. ------ 141511/14926854. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 141512/14926881. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((b (^y.y))(a a))) 3. ==[ beta ]==> ((a (a a))((b (^y.y))(a a))) 4. ==[ alpha ]==> ((a (a a))((b (^x.x))(a a))) REDUCED to normal form. ------ 141513/14926908. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 141514/14927151. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 141515/14927178. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x)) a)(a ((^z.z) b))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.y) b))) 7. ==[ beta ]==> (((a (^x.x)) a)(a b)) REDUCED to normal form. ------ 141516/14927205. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 141517/14927232. ------ 1. ==[ start ]==> (((a (a a))(a a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((a a)(b (^x.x)))) REDUCED to normal form. ------ 141518/14927268. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((b (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((b (^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141519/14927295. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 141520/14927349. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(x2 x2)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.(x2 x2)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 141521/14927358. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 141522/14927412. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 141523/14927430. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 141524/14927439. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 141525/14927466. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 141526/14927520. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 7. ==[ beta ]==> ((^y.(^z.z))(b a)) 8. ==[ alpha ]==> ((^x.(^y.y))(b a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141527/14927817. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.b))) 5. ==[ beta ]==> (b ((^y.(a a))(^z.b))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.b))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 141528/14927844. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 141529/14927925. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 141530/14927952. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 141531/14928042. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 141532/14928069. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b (a (^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a (^z.z)))) REDUCED to normal form. ------ 141533/14928096. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> ((a (a (a a)))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 141534/14928123. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((b a)(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a)((b a)(a (a a)))) REDUCED to normal form. ------ 141535/14928150. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(((a a)(^y.y))(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 141536/14928177. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)((a a) a))) REDUCED to normal form. ------ 141537/14928204. ------ 1. ==[ start ]==> ((a (a b))((a b)(a b))) REDUCED to normal form. ------ 141538/14928357. ------ 1. ==[ start ]==> ((((a a) a) b)(b (^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(b (^x.(a a)))) REDUCED to normal form. ------ 141539/14928402. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> ((a b)(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> ((a b)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 141540/14928411. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 141541/14928429. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) b)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 141542/14928465. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 141543/14928483. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((b a)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((b a)(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((b a)(^x.(x x)))) REDUCED to normal form. ------ 141544/14928519. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 141545/14928546. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 141546/14928564. ------ 1. ==[ start ]==> (((^a.b)(a a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))((a b)(^y.b))) 3. ==[ beta ]==> (b ((a b)(^y.b))) 4. ==[ alpha ]==> (b ((a b)(^x.b))) REDUCED to normal form. ------ 141547/14928573. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b)(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(a b))) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 141548/14928591. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 141549/14928762. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(a a))(^z.z))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 141550/14928807. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.(^x1.x1))) c)) 3. ==[ beta ]==> ((^y.(a a))((a (^z.(^x1.x1))) c)) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.(^z.z))) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 141551/14928978. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 141552/14929032. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 141553/14929059. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 141554/14929257. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((a b)((a a) a))) REDUCED to normal form. ------ 141555/14929284. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)(a b))) REDUCED to normal form. ------ 141556/14929311. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> ((a ((a a) a))((^y.y)(a a))) 8. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a a))) 9. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 141557/14929338. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 141558/14929365. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(b a))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(b a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(b a))) 7. ==[ beta ]==> ((a (a a))(a (b a))) REDUCED to normal form. ------ 141559/14929392. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 141560/14929410. ------ 1. ==[ start ]==> (((^a.b) c)(b (^b.b))) 2. ==[ alpha ]==> (((^x.b) c)(b (^y.y))) 3. ==[ beta ]==> (b (b (^y.y))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 141561/14929419. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a) b)) REDUCED to normal form. ------ 141562/14929509. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((b a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 141563/14929644. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 141564/14929653. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 141565/14929680. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) b)(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 141566/14929707. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(b a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 141567/14929725. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 141568/14929752. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 141569/14929761. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 141570/14929788. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 141571/14929806. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 141572/14929896. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 141573/14929923. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 141574/14930040. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c (b a))) 3. ==[ beta ]==> ((a (a b))(c (b a))) REDUCED to normal form. ------ 141575/14930067. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 141576/14930094. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a ((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a ((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a ((^x1.x1) b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a ((^x1.x1) b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z) b))) 7. ==[ beta ]==> ((^y.y)(a ((^z.z) b))) 8. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 9. ==[ beta ]==> (a ((^y.y) b)) 10. ==[ alpha ]==> (a ((^x.x) b)) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 141577/14930121. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 141578/14930148. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((b a)(a (^y.y)))) 3. ==[ beta ]==> (((a b) a)((b a)(a (^y.y)))) 4. ==[ alpha ]==> (((a b) a)((b a)(a (^x.x)))) REDUCED to normal form. ------ 141579/14930175. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 141580/14930202. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 141581/14930229. ------ 1. ==[ start ]==> ((a (b a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a (b a))((a b)(^y.y))) 4. ==[ alpha ]==> ((a (b a))((a b)(^x.x))) REDUCED to normal form. ------ 141582/14930508. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((b a)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((b a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((b a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 141583/14930535. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 141584/14930571. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)((a a) a))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 141585/14930589. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.b))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.b))) 7. ==[ beta ]==> (((a b)(a b))(^y.b)) 8. ==[ alpha ]==> (((a b)(a b))(^x.b)) REDUCED to normal form. ------ 141586/14930598. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 141587/14930652. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 141588/14930679. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 141589/14930706. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(^x.a))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 141590/14930733. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 141591/14930958. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(c ((a a)(^x.x)))) REDUCED to normal form. ------ 141592/14930985. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b (b a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b (b a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b (b a))) 5. ==[ beta ]==> (((a a) a)(b (b a))) REDUCED to normal form. ------ 141593/14931012. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 141594/14931066. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 141595/14931345. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141596/14931372. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 141597/14931381. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 141598/14931399. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 141599/14931462. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 141600/14931489. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(a b))) 5. ==[ beta ]==> ((^y.b)((^z.(z z))(a b))) 6. ==[ alpha ]==> ((^x.b)((^y.(y y))(a b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 141601/14931534. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 141602/14931543. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 141603/14931570. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)(b a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)(b a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(b a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(b a)) REDUCED to normal form. ------ 141604/14931651. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 141605/14931795. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(c ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(c ((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)(c ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a b)(c ((^x.x)(a a)))) 7. ==[ beta ]==> ((a b)(c (a a))) REDUCED to normal form. ------ 141606/14931822. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 141607/14931849. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a (b a))) 3. ==[ beta ]==> (((a b)(^y.y))(a (b a))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (b a))) REDUCED to normal form. ------ 141608/14931876. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 141609/14931903. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(a (^y.y)))) REDUCED to normal form. ------ 141610/14931957. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 141611/14931984. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a b)(^y.y)) 10. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 141612/14932155. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 141613/14932272. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 141614/14932299. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(a b))) 3. ==[ beta ]==> ((b a)((^y.a)(a b))) 4. ==[ alpha ]==> ((b a)((^x.a)(a b))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 141615/14932317. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b ((a (^y.y))(^z.(a a)))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 141616/14932326. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 141617/14932353. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)((a a)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(^y1.y1))) REDUCED to normal form. ------ 141618/14932398. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a) b)) REDUCED to normal form. ------ 141619/14932434. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((^y.(a a))((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.b)(^z.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 141620/14932461. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 141621/14932488. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 141622/14932515. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.a)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 141623/14932542. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 141624/14932659. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a b)(a (^y.y)))) 3. ==[ beta ]==> (((a a) b)((a b)(a (^y.y)))) 4. ==[ alpha ]==> (((a a) b)((a b)(a (^x.x)))) REDUCED to normal form. ------ 141625/14932686. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(((a a) a) a)) REDUCED to normal form. ------ 141626/14932713. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (b a))(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (b a))((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((a (b a))((^x.x)(a (a a)))) 7. ==[ beta ]==> ((a (b a))(a (a a))) REDUCED to normal form. ------ 141627/14932740. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 141628/14932767. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((a a) a))) 7. ==[ beta ]==> ((a a)(((^y.y) a)((a a) a))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)((a a) a))) 9. ==[ beta ]==> ((a a)(a ((a a) a))) REDUCED to normal form. ------ 141629/14932794. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))(a b))) REDUCED to normal form. ------ 141630/14932821. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a b)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 141631/14933019. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 141632/14933487. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 141633/14933505. ------ 1. ==[ start ]==> (((^a.b)(a b))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a b)(^y.y))) 3. ==[ beta ]==> (b ((a b)(^y.y))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 141634/14933514. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.b)(a a))) 3. ==[ beta ]==> (((a b)(^x.b)) b) REDUCED to normal form. ------ 141635/14933568. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 141636/14933613. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141637/14933622. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 141638/14933649. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 141639/14933676. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(a b))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a b)) REDUCED to normal form. ------ 141640/14933847. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b ((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(b ((a a) a))) REDUCED to normal form. ------ 141641/14933874. ------ 1. ==[ start ]==> (((a b)(a b))(a (a b))) REDUCED to normal form. ------ 141642/14933901. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((a a) a)(a a))) 3. ==[ beta ]==> (((a a)((a a) a))(((a a) a)(a a))) REDUCED to normal form. ------ 141643/14933928. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.x1))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 141644/14933982. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a (a a)))) REDUCED to normal form. ------ 141645/14934009. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x)))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 141646/14934036. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a a)((a a) a))) REDUCED to normal form. ------ 141647/14934153. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2) a)(^y2.(y2 y2)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2) a)(^y2.(y2 y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141648/14934234. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((a a) a) a)) 3. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 141649/14934378. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y)(^z.a))) 3. ==[ beta ]==> ((b c)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((b c)((^x.x)(^y.a))) 5. ==[ beta ]==> ((b c)(^y.a)) 6. ==[ alpha ]==> ((b c)(^x.a)) REDUCED to normal form. ------ 141650/14934450. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(z z)) c)) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z)) c)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y)) c)) 5. ==[ beta ]==> ((b (^x.x))(c c)) REDUCED to normal form. ------ 141651/14934513. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 141652/14934612. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 141653/14934621. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 141654/14934648. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 141655/14934720. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141656/14934729. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 141657/14934756. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((b (^y.a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 141658/14934783. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 141659/14934846. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 141660/14934873. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 141661/14934900. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) b))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a b)((a (^y.y))((^z.z) a))) 6. ==[ alpha ]==> ((a b)((a (^x.x))((^y.y) a))) 7. ==[ beta ]==> ((a b)((a (^x.x)) a)) REDUCED to normal form. ------ 141662/14934927. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a a)(a (a a)))) REDUCED to normal form. ------ 141663/14935008. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(c c)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(c c)) 3. ==[ beta ]==> (((a b)(a a))(c c)) REDUCED to normal form. ------ 141664/14935143. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(b ((^z.z) a))) 3. ==[ beta ]==> ((b ((^y.y) a))(b ((^z.z) a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(b ((^y.y) a))) 5. ==[ beta ]==> ((b a)(b ((^y.y) a))) 6. ==[ alpha ]==> ((b a)(b ((^x.x) a))) 7. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 141665/14935170. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 141666/14935224. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 141667/14935314. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 141668/14935395. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> (b ((a (^x1.x1)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 141669/14935503. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141670/14935620. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 141671/14935638. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141672/14935665. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 141673/14935719. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a a) a)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a a) a)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a a) a)) 5. ==[ beta ]==> ((b ((^y.y) b))((a a) a)) 6. ==[ alpha ]==> ((b ((^x.x) b))((a a) a)) 7. ==[ beta ]==> ((b b)((a a) a)) REDUCED to normal form. ------ 141674/14935728. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 141675/14935755. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(a (^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(a (^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141676/14935911. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^z.((^x1.(^y1.y1)) a))(^y.y)) 4. ==[ alpha ]==> ((^x.((^y.(^z.z)) a))(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141677/14937486. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 141678/14943525. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141679/14945271. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(^z.z))(a (^x1.(^y1.y1))))((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141680/14945298. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 141681/14945379. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (((^z.z)((^x1.(^y1.y1)) a))(^y.y)) 4. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.x1)) 5. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.x1)) 6. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141682/14945382. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (a (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 141683/14946063. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141684/14946570. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 141685/14946954. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (b (^z.z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 141686/14946957. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(b (^z.z)))) REDUCED to normal form. ------ 141687/14947308. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((a a)(a a)))) 3. ==[ beta ]==> (b (^z.((a a)(a a)))) 4. ==[ alpha ]==> (b (^x.((a a)(a a)))) REDUCED to normal form. ------ 141688/14947677. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.((a a)(a a)))) REDUCED to normal form. ------ 141689/14947728. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.(^y1.y1)))((^z.z)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141690/14948037. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((y1 y1)(y1 y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((y1 y1)(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((x1 x1)(x1 x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((x1 x1)(x1 x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z)(z z)))) 9. ==[ beta ]==> ((^y.y)(^z.((z z)(z z)))) 10. ==[ alpha ]==> ((^x.x)(^y.((y y)(y y)))) 11. ==[ beta ]==> (^y.((y y)(y y))) 12. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 141691/14948403. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> ((((^z.z)(a a))((^z.z)(a a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.y)) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 141692/14948694. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 141693/14949027. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141694/14949333. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 141695/14949639. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 141696/14949945. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 141697/14951913. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.(y y))((^z.z)(^x1.x1)))((^y.(y y))((^z.z)(^x1.x1))))(((^y.(y y))((^z.z)(^x1.x1)))((^y.(y y))((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1))))(((^x2.(x2 x2))((^y2.y2)(^z2.z2)))((^x3.(x3 x3))((^y3.y3)(^z3.z3))))) 5. ==[ beta ]==> (((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1))))(((^x2.(x2 x2))((^y2.y2)(^z2.z2)))((^x3.(x3 x3))((^y3.y3)(^z3.z3))))) 6. ==[ alpha ]==> (((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2))))(((^y2.(y2 y2))((^z2.z2)(^x3.x3)))((^y3.(y3 y3))((^z3.z3)(^x4.x4))))) 7. ==[ beta ]==> ((((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2))))(((^y2.(y2 y2))((^z2.z2)(^x3.x3)))((^y3.(y3 y3))((^z3.z3)(^x4.x4))))) 8. ==[ alpha ]==> ((((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1))))(((^x2.(x2 x2))((^y2.y2)(^z2.z2)))((^x3.(x3 x3))((^y3.y3)(^z3.z3))))) 9. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1))))(((^x2.(x2 x2))((^y2.y2)(^z2.z2)))((^x3.(x3 x3))((^y3.y3)(^z3.z3))))) 10. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1))))(((^z1.(z1 z1))((^x2.x2)(^y2.y2)))((^z2.(z2 z2))((^x3.x3)(^y3.y3))))) 11. ==[ beta ]==> (((^y.y)((^z.(z z))((^x1.x1)(^y1.y1))))(((^z1.(z1 z1))((^x2.x2)(^y2.y2)))((^z2.(z2 z2))((^x3.x3)(^y3.y3))))) 12. ==[ alpha ]==> (((^x.x)((^y.(y y))((^z.z)(^x1.x1))))(((^y1.(y1 y1))((^z1.z1)(^x2.x2)))((^y2.(y2 y2))((^z2.z2)(^x3.x3))))) 13. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.x1)))(((^y1.(y1 y1))((^z1.z1)(^x2.x2)))((^y2.(y2 y2))((^z2.z2)(^x3.x3))))) 14. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.(x1 x1))((^y1.y1)(^z1.z1)))((^x2.(x2 x2))((^y2.y2)(^z2.z2))))) 15. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.(x1 x1))((^y1.y1)(^z1.z1)))((^x2.(x2 x2))((^y2.y2)(^z2.z2))))) 16. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.(y1 y1))((^z1.z1)(^x2.x2)))((^y2.(y2 y2))((^z2.z2)(^x3.x3))))) 17. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.(y1 y1))((^z1.z1)(^x2.x2)))((^y2.(y2 y2))((^z2.z2)(^x3.x3))))) 18. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.(x1 x1))((^y1.y1)(^z1.z1)))((^x2.(x2 x2))((^y2.y2)(^z2.z2))))) 19. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.(x1 x1))((^y1.y1)(^z1.z1)))((^x2.(x2 x2))((^y2.y2)(^z2.z2))))) 20. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.(z z))((^x1.x1)(^y1.y1)))((^z1.(z1 z1))((^x2.x2)(^y2.y2))))) 21. ==[ beta ]==> ((^y.y)(((^z.(z z))((^x1.x1)(^y1.y1)))((^z1.(z1 z1))((^x2.x2)(^y2.y2))))) 22. ==[ alpha ]==> ((^x.x)(((^y.(y y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2))))) 23. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 24. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 25. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 26. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 27. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 28. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 29. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 30. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 31. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 32. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 33. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 34. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 35. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) UNREDUCED: maximal number of reductions reached. ------ 141698/14952807. ------ 1. ==[ start ]==> (((a b)(a b))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.x))) REDUCED to normal form. ------ 141699/14952993. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a (^z.b))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141700/14952996. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 141701/14953887. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 141702/14953995. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(a (a a)))) REDUCED to normal form. ------ 141703/14954103. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 141704/14954436. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141705/14954571. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 7. ==[ beta ]==> (^y.(y (^z.z))) 8. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 141706/14954598. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(a a))) 3. ==[ beta ]==> ((^y.y)(^x1.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 141707/14954652. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.b)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.b)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.b)) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.b)) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.b)) 7. ==[ beta ]==> ((b b)(^y.b)) 8. ==[ alpha ]==> ((b b)(^x.b)) REDUCED to normal form. ------ 141708/14954661. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^c.a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 141709/14954688. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141710/14954736. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 141711/14954745. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 141712/14954763. ------ 1. ==[ start ]==> (((a a) a)((a (a a))(^b.b))) 2. ==[ alpha ]==> (((a a) a)((a (a a))(^x.x))) REDUCED to normal form. ------ 141713/14954772. ------ 1. ==[ start ]==> ((a b)((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((a b)((^x.(x x))((^y.y) b))) 3. ==[ beta ]==> ((a b)(((^y.y) b)((^y.y) b))) 4. ==[ alpha ]==> ((a b)(((^x.x) b)((^y.y) b))) 5. ==[ beta ]==> ((a b)(b ((^y.y) b))) 6. ==[ alpha ]==> ((a b)(b ((^x.x) b))) 7. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 141714/14954826. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(b (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 141715/14954853. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 141716/14954871. ------ 1. ==[ start ]==> (((a a) b)(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((a a) b)(((^x.(^y.y)) a) a)) 3. ==[ beta ]==> (((a a) b)((^y.y) a)) 4. ==[ alpha ]==> (((a a) b)((^x.x) a)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 141717/14954898. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)((b (^y.y)) b)) REDUCED to normal form. ------ 141718/14954988. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 141719/14955321. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(a a))(a (^y.y)))) 5. ==[ beta ]==> ((((a a)(a a))(a (^y.y)))(((a a)(a a))(a (^y.y)))) 6. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 141720/14955348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 141721/14955402. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((b a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((b a)(^y.y)) 10. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 141722/14955429. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))((a a) a))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 141723/14955456. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (((^y.y)(a a))(a b)) 6. ==[ alpha ]==> (((^x.x)(a a))(a b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 141724/14955510. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 141725/14955537. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(b a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 141726/14955762. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 141727/14955789. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> (a ((b a)(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 141728/14955816. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 141729/14955843. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.b))) REDUCED to normal form. ------ 141730/14955870. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.a))((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((a b)(^y.(a a)))) REDUCED to normal form. ------ 141731/14955960. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(^x.x))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 141732/14955987. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 141733/14956014. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 141734/14956041. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(b (^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 141735/14956428. ------ 1. ==[ start ]==> ((a (^a.b))(a (b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(a (b (^y.y)))) REDUCED to normal form. ------ 141736/14956617. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(a b))) 3. ==[ beta ]==> ((^y.b)((a b)(a b))) 4. ==[ alpha ]==> ((^x.b)((a b)(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 141737/14956698. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(b a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))(b a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))(b a))) IRREDUCIBLE: cycle. ------ 141738/14956779. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)((a a)(a a)))) 3. ==[ beta ]==> (b ((a a)((a a)(a a)))) REDUCED to normal form. ------ 141739/14956815. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 141740/14956869. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.a))) REDUCED to normal form. ------ 141741/14956896. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((b a)(^y.(y y)))) REDUCED to normal form. ------ 141742/14956923. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 141743/14956977. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.b))) REDUCED to normal form. ------ 141744/14957013. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 141745/14957040. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 141746/14957067. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))(b a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(b a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(b a))) 7. ==[ beta ]==> ((a (^x.x))((b a)(b a))) REDUCED to normal form. ------ 141747/14957094. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 141748/14957121. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1) b))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1) b))) 7. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1) b))) 8. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z) b))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 141749/14957148. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 141750/14957166. ------ 1. ==[ start ]==> (((^a.b) b)(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b) b)(((a a)(a a)) a)) 3. ==[ beta ]==> (b (((a a)(a a)) a)) REDUCED to normal form. ------ 141751/14957175. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 141752/14957202. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 141753/14957454. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(c (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(c (a (^y.(^z.z))))) 5. ==[ beta ]==> (c (a (^y.(^z.z)))) 6. ==[ alpha ]==> (c (a (^x.(^y.y)))) REDUCED to normal form. ------ 141754/14957508. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a ((a a)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a ((a a)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a ((a a)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a ((a a)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a ((a a)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a ((a a)(a a)))) 9. ==[ beta ]==> ((^y.y)(a ((a a)(a a)))) 10. ==[ alpha ]==> ((^x.x)(a ((a a)(a a)))) 11. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 141755/14957517. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 141756/14957544. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z) b)) 5. ==[ beta ]==> ((^y.(y y))((^z.z) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) b)) 7. ==[ beta ]==> (((^y.y) b)((^y.y) b)) 8. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 9. ==[ beta ]==> (b ((^y.y) b)) 10. ==[ alpha ]==> (b ((^x.x) b)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 141757/14957571. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 141758/14957589. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> (b ((b a)((^z.z) a))) 4. ==[ alpha ]==> (b ((b a)((^x.x) a))) 5. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 141759/14957823. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 141760/14957877. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 141761/14958057. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b) c)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a b) c)(^y.(a a))) 6. ==[ alpha ]==> (((a b) c)(^x.(a a))) REDUCED to normal form. ------ 141762/14958084. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 141763/14958165. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.z))) REDUCED to normal form. ------ 141764/14958192. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) b) a)) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) b) a)) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) b) a)) 5. ==[ beta ]==> ((a (^x.b))(b a)) REDUCED to normal form. ------ 141765/14958246. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a) c)) 5. ==[ beta ]==> ((^y.(^z.z))((b a) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((b a) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141766/14958390. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 141767/14958471. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 141768/14958498. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141769/14958723. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))((^z.z)(a a)))) 5. ==[ beta ]==> (b ((a (a a))((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((a (a a))((^x.x)(a a)))) 7. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 141770/14958804. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 141771/14958867. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 141772/14958975. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 141773/14959002. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a (a a))(^x.b))(^z.b)) 6. ==[ alpha ]==> (((a (a a))(^x.b))(^y.b)) REDUCED to normal form. ------ 141774/14959056. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 141775/14959110. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 141776/14959137. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) REDUCED to normal form. ------ 141777/14959200. ------ 1. ==[ start ]==> (((a a)(b a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 141778/14959227. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 141779/14959254. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 141780/14959281. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 141781/14959308. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.b))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 141782/14959335. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 141783/14959362. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 141784/14959416. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 141785/14959479. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141786/14959560. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((a a) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)(((a a) a)(^y.y))) 8. ==[ alpha ]==> ((a a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 141787/14959641. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (b (((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (b (a ((^y.y)(a a)))) 6. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 141788/14959758. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 141789/14959785. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.a))) REDUCED to normal form. ------ 141790/14959866. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.a)) 6. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 141791/14959893. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(^z.b))) 5. ==[ beta ]==> ((^y.b)((a (a a))(^z.b))) 6. ==[ alpha ]==> ((^x.b)((a (a a))(^y.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 141792/14959947. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 141793/14960001. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((b a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((b a) a)) REDUCED to normal form. ------ 141794/14960091. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 141795/14960118. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 141796/14960145. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 141797/14960172. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(^y.b))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.b)(^y.b))) 6. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(^y.b))) 7. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 141798/14960199. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a b)((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> ((a b)((^x.a)(^y.(a a)))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 141799/14960397. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141800/14960424. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 141801/14960676. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (a a))(^z.a))) REDUCED to normal form. ------ 141802/14960703. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> ((b a)(a (^y.b))) 6. ==[ alpha ]==> ((b a)(a (^x.b))) REDUCED to normal form. ------ 141803/14960730. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 141804/14960838. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a b) c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b) c)) 5. ==[ beta ]==> ((^y.(a a))((a b) c)) 6. ==[ alpha ]==> ((^x.(a a))((a b) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 141805/14960991. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(b ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141806/14961027. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 141807/14961198. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a b))(c (^x.b))) REDUCED to normal form. ------ 141808/14961225. ------ 1. ==[ start ]==> (((a b)((a a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(b (^x.(a a)))) REDUCED to normal form. ------ 141809/14961279. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(a a))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 141810/14961360. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 141811/14961387. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(a a)))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a ((a a)(a a)))((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(^y.y))) 9. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 10. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 141812/14961666. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(b (a b))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141813/14961702. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(a a)) a)) 3. ==[ beta ]==> ((b b)((^y.(a a)) a)) 4. ==[ alpha ]==> ((b b)((^x.(a a)) a)) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 141814/14961729. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.b) b)) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.b) b)) 3. ==[ beta ]==> ((((a a)(a a)) a) b) REDUCED to normal form. ------ 141815/14961747. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 141816/14961774. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 141817/14961828. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((b a)(b a))(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((b a)(b a))(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (((b a)(b a))(a (^y.y))) 8. ==[ alpha ]==> (((b a)(b a))(a (^x.x))) REDUCED to normal form. ------ 141818/14961918. ------ 1. ==[ start ]==> (((a b)(^a.b))((a b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a b)(^y.y))) REDUCED to normal form. ------ 141819/14961972. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 141820/14962026. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 141821/14962053. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 141822/14962080. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 141823/14962116. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a a)((a a)(a a))) b) REDUCED to normal form. ------ 141824/14962143. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 141825/14962170. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 141826/14962197. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(b a))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 141827/14962224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 141828/14962278. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.b))) 3. ==[ beta ]==> (((a b)(a b))(^y.b)) 4. ==[ alpha ]==> (((a b)(a b))(^x.b)) REDUCED to normal form. ------ 141829/14962413. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 141830/14962440. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(b (^x.a))) REDUCED to normal form. ------ 141831/14962467. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((a (b (^x.x)))(a (^y.b))) REDUCED to normal form. ------ 141832/14962809. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^c.a) a)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a) a)) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 141833/14962854. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 141834/14962881. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 141835/14962935. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a)(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a)(^y1.y1))) REDUCED to normal form. ------ 141836/14963025. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a (^z.a))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 141837/14963052. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.b))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 141838/14963133. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (a a)) b)) REDUCED to normal form. ------ 141839/14963160. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z) a) c)) 3. ==[ beta ]==> ((b (^y.a))(((^z.z) a) c)) 4. ==[ alpha ]==> ((b (^x.a))(((^y.y) a) c)) 5. ==[ beta ]==> ((b (^x.a))(a c)) REDUCED to normal form. ------ 141840/14963304. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(c (^z.a))) 3. ==[ beta ]==> ((a ((^y.y) b))(c (^z.a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(c (^y.a))) 5. ==[ beta ]==> ((a b)(c (^y.a))) 6. ==[ alpha ]==> ((a b)(c (^x.a))) REDUCED to normal form. ------ 141841/14963331. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(b (^z.(z z)))) REDUCED to normal form. ------ 141842/14963358. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 141843/14963385. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 141844/14963412. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 141845/14963439. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 141846/14963466. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(a (a a))) REDUCED to normal form. ------ 141847/14963520. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a))) a) REDUCED to normal form. ------ 141848/14963547. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 141849/14963574. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.(z z))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 141850/14963718. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(c b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(c b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(c b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(c b)) 5. ==[ beta ]==> ((^y.y)(c b)) 6. ==[ alpha ]==> ((^x.x)(c b)) 7. ==[ beta ]==> (c b) REDUCED to normal form. ------ 141851/14963799. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 141852/14963907. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141853/14964024. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((a a) b)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((a a) b)) 3. ==[ beta ]==> (((^y.y) a)((a a) b)) 4. ==[ alpha ]==> (((^x.x) a)((a a) b)) 5. ==[ beta ]==> (a ((a a) b)) REDUCED to normal form. ------ 141854/14964042. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(a (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(a (a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (a (^z.z)))) 6. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 141855/14964069. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a a)(a a))) 3. ==[ beta ]==> ((^y.y)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 141856/14964123. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(a b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(a b)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(a b)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(a b)) 5. ==[ beta ]==> ((b ((^y.y) b))(a b)) 6. ==[ alpha ]==> ((b ((^x.x) b))(a b)) 7. ==[ beta ]==> ((b b)(a b)) REDUCED to normal form. ------ 141857/14964132. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((a a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a) a)) REDUCED to normal form. ------ 141858/14964159. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.z1) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141859/14973693. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1)(^x2.x2))(^y2.(^z2.(^x3.x3))))) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(((^z1.z1)(^x2.x2))(^y2.(^z2.(^x3.x3))))) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(^y2.(^z2.z2))))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.(^z2.z2))))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.(^y2.y2))))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141860/14973720. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(^b.b))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(^y.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 141861/14973756. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141862/14973813. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((^y1.(^z1.z1)) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.(^z1.z1)) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.(^y1.y1)) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141863/14973918. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (^x.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 141864/14974161. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 141865/14975043. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(a a)) b)) 3. ==[ beta ]==> (((((a a)(a a)) b)(((a a)(a a)) b))(((a a)(a a)) b)) REDUCED to normal form. ------ 141866/14975739. ------ 1. ==[ start ]==> (((a b) a)(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 141867/14975943. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b)(a b))) 3. ==[ beta ]==> (^y.(((^z.b)(a b))((^z.b)(a b)))) 4. ==[ alpha ]==> (^x.(((^y.b)(a b))((^z.b)(a b)))) 5. ==[ beta ]==> (^x.(b ((^z.b)(a b)))) 6. ==[ alpha ]==> (^x.(b ((^y.b)(a b)))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 141868/14976150. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) b) b)) 3. ==[ beta ]==> ((^y.y)((((^z.z) b) b)(((^z.z) b) b))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) b) b)(((^z.z) b) b))) 5. ==[ beta ]==> ((((^y.y) b) b)(((^z.z) b) b)) 6. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) b) b)) 7. ==[ beta ]==> ((b b)(((^y.y) b) b)) 8. ==[ alpha ]==> ((b b)(((^x.x) b) b)) 9. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 141869/14976459. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(a a)))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 11. ==[ beta ]==> (^y.(^z.(a a))) 12. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 141870/14976468. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((z z)(z z)))) REDUCED to normal form. ------ 141871/14976825. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((((^z.z) b)(^x1.x1))(((^z.z) b)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) b)(^y.y))(((^z.z) b)(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> (((b (^y.y))(((^z.z) b)(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> (((b (^x.x))(((^y.y) b)(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (((b (^x.x))(b (^z.z)))(^x1.x1)) 8. ==[ alpha ]==> (((b (^x.x))(b (^y.y)))(^z.z)) REDUCED to normal form. ------ 141872/14979021. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141873/14979978. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 141874/14980335. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a (a a))(^y.(^z.z)))((a (a a))(^y.(^z.z))))(((a (a a))(^y.(^z.z)))((a (a a))(^y.(^z.z))))) 4. ==[ alpha ]==> ((((a (a a))(^x.(^y.y)))((a (a a))(^z.(^x1.x1))))(((a (a a))(^y1.(^z1.z1)))((a (a a))(^x2.(^y2.y2))))) REDUCED to normal form. ------ 141875/14980653. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((b b)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((b b)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((b b)(^x.(x x))) REDUCED to normal form. ------ 141876/14980842. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(a b))) REDUCED to normal form. ------ 141877/14980860. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.(y y)))) 3. ==[ beta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 141878/14981589. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 141879/14981733. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b c)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b c)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b c)(^x.(^z.z))) 6. ==[ alpha ]==> ((b c)(^x.(^y.y))) REDUCED to normal form. ------ 141880/14981760. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.((x x) x))) REDUCED to normal form. ------ 141881/14982576. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^b.a) b)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.a) b)) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141882/14982993. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 141883/14983074. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(a a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(a a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(a a))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(a a))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(a a))) 7. ==[ beta ]==> ((b b)(^y.(a a))) 8. ==[ alpha ]==> ((b b)(^x.(a a))) REDUCED to normal form. ------ 141884/14983083. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.b)) REDUCED to normal form. ------ 141885/14983110. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(z1 z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.(z1 z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(y1 y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141886/14983176. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 141887/14983185. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141888/14983203. ------ 1. ==[ start ]==> ((a b)((a (a a))(^b.b))) 2. ==[ alpha ]==> ((a b)((a (a a))(^x.x))) REDUCED to normal form. ------ 141889/14983212. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) b))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) b))) 5. ==[ beta ]==> ((a a)(((^y.y) b)((^y.y) b))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)((^y.y) b))) 7. ==[ beta ]==> ((a a)(b ((^y.y) b))) 8. ==[ alpha ]==> ((a a)(b ((^x.x) b))) 9. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 141890/14983239. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 141891/14983293. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.(^z1.z1)) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.(^z1.z1)) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.(^y1.y1)) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141892/14983401. ------ 1. ==[ start ]==> ((a (^b.a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.a))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(y y))) REDUCED to normal form. ------ 141893/14983482. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 141894/14983509. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 141895/14983590. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141896/14983644. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 141897/14983734. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((b (^y.y))(a a))) 3. ==[ beta ]==> ((a a)((b (^y.y))(a a))) 4. ==[ alpha ]==> ((a a)((b (^x.x))(a a))) REDUCED to normal form. ------ 141898/14983815. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z)))(a (a a)))) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 141899/14983842. ------ 1. ==[ start ]==> (((a (a a)) a)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((b a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) a)((b a)(^y.y))) 4. ==[ alpha ]==> (((a (a a)) a)((b a)(^x.x))) REDUCED to normal form. ------ 141900/14983869. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 141901/14983896. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(a b))) REDUCED to normal form. ------ 141902/14983923. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 141903/14983950. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 141904/14984058. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((b b)((a (^y.y))((a a)(a a)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 141905/14984184. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 141906/14984319. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 141907/14984391. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 141908/14984418. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (^y.y))) REDUCED to normal form. ------ 141909/14984499. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((b (^z.z)) a)) 3. ==[ beta ]==> (((^y.y)(a a))((b (^z.z)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((b (^y.y)) a)) 5. ==[ beta ]==> ((a a)((b (^y.y)) a)) 6. ==[ alpha ]==> ((a a)((b (^x.x)) a)) REDUCED to normal form. ------ 141910/14984526. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(a a)) b)) REDUCED to normal form. ------ 141911/14984562. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 141912/14984697. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 141913/14984778. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.(^x1.x1))))) 9. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 10. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 11. ==[ beta ]==> ((a a)(^y.(^z.z))) 12. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 141914/14984841. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b ((a a)(a a)))) REDUCED to normal form. ------ 141915/14984931. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y) c)) 3. ==[ beta ]==> ((a (a (a a)))((^y.y) c)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x) c)) 5. ==[ beta ]==> ((a (a (a a))) c) REDUCED to normal form. ------ 141916/14985030. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (b (((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 141917/14985192. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> ((((a a) a) b)((a (^x.x)) b)) REDUCED to normal form. ------ 141918/14985210. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (^z.(a a)))) 3. ==[ beta ]==> (b (b (^z.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 141919/14985219. ------ 1. ==[ start ]==> (((a b) a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 141920/14985318. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 141921/14985399. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (b ((^y.(a a))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((a a) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 141922/14985426. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(a b))) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 141923/14985444. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 141924/14985525. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 141925/14985552. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.z))) 7. ==[ beta ]==> (a ((a (^y.y))(^z.z))) 8. ==[ alpha ]==> (a ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 141926/14985606. ------ 1. ==[ start ]==> (((a b)(a a))(((a a)(a a)) a)) REDUCED to normal form. ------ 141927/14985633. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) b) b)) 3. ==[ beta ]==> ((a (a a))(((^y.y) b) b)) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b) b)) 5. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 141928/14985642. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 141929/14985669. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141930/14985723. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141931/14985804. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 141932/14985885. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 141933/14985894. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 141934/14985948. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((a a)(a a)))) REDUCED to normal form. ------ 141935/14985975. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) b)(a a))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) b)(a a))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) b)(a a))) 7. ==[ beta ]==> ((((^y.y) b)(a a))(((^y.y) b)(a a))) 8. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y) b)(a a))) 9. ==[ beta ]==> ((b (a a))(((^y.y) b)(a a))) 10. ==[ alpha ]==> ((b (a a))(((^x.x) b)(a a))) 11. ==[ beta ]==> ((b (a a))(b (a a))) REDUCED to normal form. ------ 141936/14986002. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 141937/14986029. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 141938/14986056. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 141939/14986245. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 141940/14986308. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(b (^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.y))) REDUCED to normal form. ------ 141941/14986344. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 141942/14986479. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(a b))) 3. ==[ beta ]==> (b ((^z.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 141943/14986560. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(b a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 141944/14986587. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141945/14986641. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 141946/14986722. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141947/14986956. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.b) a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x) a)) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 141948/14986983. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a b) a)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 141949/14987235. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 141950/14987343. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 141951/14987370. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (a a))) 6. ==[ alpha ]==> ((^x.(a a))(a (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 141952/14987424. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)((a a) a))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 141953/14987505. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 141954/14987631. ------ 1. ==[ start ]==> (((a a)(b a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(b a))(((a a)(^x.x)) c)) REDUCED to normal form. ------ 141955/14987892. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((b a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141956/14988234. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 141957/14988369. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 141958/14988504. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 141959/14988783. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141960/14988990. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 141961/14989098. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141962/14989152. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)(a b))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(a b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(a b))) 5. ==[ beta ]==> (b ((^y.a)(a b))) 6. ==[ alpha ]==> (b ((^x.a)(a b))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 141963/14989179. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141964/14989314. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 141965/14989422. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141966/14989431. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b ((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (a a))) REDUCED to normal form. ------ 141967/14989458. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((b (^y.y))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((b (^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 141968/14989494. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(a a)) b)) 3. ==[ beta ]==> (((a a) b)((^y.(a a)) b)) 4. ==[ alpha ]==> (((a a) b)((^x.(a a)) b)) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 141969/14989521. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.b) c)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) b) REDUCED to normal form. ------ 141970/14989548. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a) d)) 3. ==[ beta ]==> ((a (b a))((^y.a) d)) 4. ==[ alpha ]==> ((a (b a))((^x.a) d)) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 141971/14989710. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a a)(^y.y))) REDUCED to normal form. ------ 141972/14989764. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((a a) a)(^x1.a))) REDUCED to normal form. ------ 141973/14989791. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (a a))(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b (a a))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((b (a a))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((b (a a))(^y.(y y))) 8. ==[ alpha ]==> ((b (a a))(^x.(x x))) REDUCED to normal form. ------ 141974/14989818. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 141975/14989854. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 141976/14989989. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 141977/14990097. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141978/14990133. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((b b)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((b b)(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((b b)(a (a a))) REDUCED to normal form. ------ 141979/14990160. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a b)(a a))) REDUCED to normal form. ------ 141980/14990214. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) a)) 7. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 141981/14990241. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 141982/14990322. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a)(a b))) REDUCED to normal form. ------ 141983/14990340. ------ 1. ==[ start ]==> (((^a.b)(a b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(a (^y.(a a)))) 3. ==[ beta ]==> (b (a (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 141984/14990448. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(y1 y1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141985/14990547. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a b) a)) REDUCED to normal form. ------ 141986/14990574. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((a a) a) b)) 3. ==[ beta ]==> (((a (^x.x)) b)(((a a) a) b)) REDUCED to normal form. ------ 141987/14990736. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.b) a)) 3. ==[ beta ]==> (((a a)((a a) a))((^y.b) a)) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.b) a)) 5. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 141988/14990988. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(x2 x2))((^y2.y2) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(x2 x2))((^y2.y2) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141989/14991069. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z)((a a) a))) 3. ==[ beta ]==> (b ((^z.z)((a a) a))) 4. ==[ alpha ]==> (b ((^x.x)((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 141990/14991177. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141991/14991213. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b c)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b c)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b c)(b (^y.y))) 6. ==[ alpha ]==> ((b c)(b (^x.x))) REDUCED to normal form. ------ 141992/14991240. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a ((a a) a))) REDUCED to normal form. ------ 141993/14991348. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 141994/14991366. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b (^y1.(^z1.z1)))) REDUCED to normal form. ------ 141995/14991375. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 141996/14991447. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (b ((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 141997/14991483. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(c d)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(c d)) 3. ==[ beta ]==> (((a a)(^y.b))(c d)) 4. ==[ alpha ]==> (((a a)(^x.b))(c d)) REDUCED to normal form. ------ 141998/14991555. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 141999/14991681. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 142000/14991708. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(b b)) REDUCED to normal form. ------ 142001/14991735. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.a) c)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.a) c)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.a) c)) 5. ==[ beta ]==> ((a b)((^y.a) c)) 6. ==[ alpha ]==> ((a b)((^x.a) c)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 142002/14991816. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 142003/14991843. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a b)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 142004/14991870. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(a b))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 142005/14991897. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 142006/14991951. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(a b)) REDUCED to normal form. ------ 142007/14991978. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a (^z.z)) c)) 3. ==[ beta ]==> ((b ((^y.y) a))((a (^z.z)) c)) 4. ==[ alpha ]==> ((b ((^x.x) a))((a (^y.y)) c)) 5. ==[ beta ]==> ((b a)((a (^y.y)) c)) 6. ==[ alpha ]==> ((b a)((a (^x.x)) c)) REDUCED to normal form. ------ 142008/14992059. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^b.a) b)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.a) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.a) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.a) b)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 142009/14992149. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a a))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 7. ==[ beta ]==> ((^y.a)(a a)) 8. ==[ alpha ]==> ((^x.a)(a a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 142010/14992230. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 142011/14992338. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b (^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142012/14992455. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(b (a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(b (a a))) 3. ==[ beta ]==> (((^y.y) a)(b (a a))) 4. ==[ alpha ]==> (((^x.x) a)(b (a a))) 5. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 142013/14992473. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142014/14992500. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142015/14992554. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.z)(a a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.z)(a a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.z)(a a))) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.z)(a a))) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.y)(a a))) 7. ==[ beta ]==> ((b b)((^y.y)(a a))) 8. ==[ alpha ]==> ((b b)((^x.x)(a a))) 9. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 142016/14992563. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(a b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a b)) REDUCED to normal form. ------ 142017/14992590. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(a (a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(a (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142018/15000378. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142019/15002271. ------ 1. ==[ start ]==> (((a a) b)(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a) b)(^x.((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a) b)(^x.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 142020/15002685. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> ((((^x.x) a)(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(^z.z))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 142021/15002709. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((b (^y.y))(a a))) 3. ==[ beta ]==> (((b (^y.y))(a a))(((b (^y.y))(a a))((b (^y.y))(a a)))) 4. ==[ alpha ]==> (((b (^x.x))(a a))(((b (^y.y))(a a))((b (^z.z))(a a)))) REDUCED to normal form. ------ 142022/15003060. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a)(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142023/15003846. ------ 1. ==[ start ]==> (((a a)((a a) a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.(b (^y.y)))) REDUCED to normal form. ------ 142024/15004005. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((a a) a)) b) 4. ==[ alpha ]==> ((((^x.x)(a a))((a a) a)) b) 5. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 142025/15004392. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b)(^z.b))) 3. ==[ beta ]==> (^y.(((a b)(^z.b))((a b)(^z.b)))) 4. ==[ alpha ]==> (^x.(((a b)(^y.b))((a b)(^z.b)))) REDUCED to normal form. ------ 142026/15004566. ------ 1. ==[ start ]==> (((^a.b) b)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((a a)(a a)))) 3. ==[ beta ]==> (b (^y.((a a)(a a)))) 4. ==[ alpha ]==> (b (^x.((a a)(a a)))) REDUCED to normal form. ------ 142027/15004917. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 142028/15005592. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.b))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.z)) 5. ==[ beta ]==> ((a (^y.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 142029/15005925. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.((^y.y) b))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^x.b)) REDUCED to normal form. ------ 142030/15006030. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(a a))(a (a a)))) 3. ==[ eta ]==> (b (((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 142031/15006537. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 142032/15006579. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((b a) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((b a) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 142033/15006867. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((b a)(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((b a)(a a))) 3. ==[ beta ]==> (((b a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((b a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 142034/15007401. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(z a))) REDUCED to normal form. ------ 142035/15007470. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142036/15007680. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(b y))) 3. ==[ eta ]==> ((((^x.x)(a a))(a (a a))) b) 4. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 142037/15007785. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 142038/15008427. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 142039/15009102. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 142040/15009318. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.(y y)))) REDUCED to normal form. ------ 142041/15009705. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(y b))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(y b))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(x b))) REDUCED to normal form. ------ 142042/15009864. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a)((a a) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142043/15009867. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 142044/15010038. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 142045/15010209. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.a))) REDUCED to normal form. ------ 142046/15010650. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 142047/15010758. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(a (a a)))) 5. ==[ beta ]==> ((b a)(^y.(a (a a)))) 6. ==[ alpha ]==> ((b a)(^x.(a (a a)))) REDUCED to normal form. ------ 142048/15011025. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(((^x1.x1) a)(a a))) 3. ==[ eta ]==> ((^y.(^z.z))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142049/15011523. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(^x1.x1))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(^z.z))) 7. ==[ beta ]==> ((b b)(^y.(^z.z))) 8. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 142050/15011532. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(a a))) REDUCED to normal form. ------ 142051/15011559. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142052/15011643. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 142053/15011652. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 142054/15011670. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(^y.y))) 3. ==[ beta ]==> ((a a)((a (a a))(^y.y))) 4. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 142055/15011679. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.x))(((^z.z) b)((^z.z) b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)((^z.z) b))) 5. ==[ beta ]==> (((a a)(^x.x))(b ((^z.z) b))) 6. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y) b))) 7. ==[ beta ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 142056/15011706. ------ 1. ==[ start ]==> (((^a.a) b)((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)((a a)(a a)))) 3. ==[ beta ]==> (b ((^y.a)((a a)(a a)))) 4. ==[ alpha ]==> (b ((^x.a)((a a)(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 142057/15011733. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142058/15011760. ------ 1. ==[ start ]==> (((a a) b)((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a) b)((^x.x)((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 142059/15011778. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.(^y1.y1)) a) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1)) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a) a)) 5. ==[ beta ]==> (((^y.(^z.z)) a) a) 6. ==[ alpha ]==> (((^x.(^y.y)) a) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 142060/15011805. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b (^z.z)) b)) 3. ==[ beta ]==> ((a (^y.y))((b (^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.x))((b (^y.y)) b)) REDUCED to normal form. ------ 142061/15011895. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142062/15011976. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 142063/15012003. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 142064/15012030. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(^d.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 142065/15012057. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 142066/15012084. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 142067/15012147. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (b (^z.z)))) REDUCED to normal form. ------ 142068/15012174. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a (a a))(a ((^y.(^z.z)) a))) 4. ==[ alpha ]==> ((a (a a))(a ((^x.(^y.y)) a))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 142069/15012201. ------ 1. ==[ start ]==> ((a (a (a a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((a (a (a a)))((b (^x.x))(a a))) REDUCED to normal form. ------ 142070/15012237. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 142071/15012444. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))(b a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(b a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(b a))) 5. ==[ beta ]==> (((a a)(a (a a)))(b a)) REDUCED to normal form. ------ 142072/15012471. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 142073/15012498. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> ((a (a (^x.x)))(a ((^z.z) b))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.y) b))) 7. ==[ beta ]==> ((a (a (^x.x)))(a b)) REDUCED to normal form. ------ 142074/15012516. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (^y.(a a)))) 3. ==[ beta ]==> ((b b)(c (^y.(a a)))) 4. ==[ alpha ]==> ((b b)(c (^x.(a a)))) REDUCED to normal form. ------ 142075/15012525. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 142076/15012552. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(b (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(b (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(b (^y.y)))) REDUCED to normal form. ------ 142077/15012588. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((b (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 142078/15012642. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) b)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(^z1.a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 7. ==[ beta ]==> (((^y.y) b)(^z.a)) 8. ==[ alpha ]==> (((^x.x) b)(^y.a)) 9. ==[ beta ]==> (b (^y.a)) 10. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 142079/15012651. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y) a)) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x) a)) 5. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 142080/15012678. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(a (a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a (a a)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 142081/15012696. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(^y.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 142082/15012759. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))(a b))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))(a b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(a b))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 142083/15012777. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)(^z.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.(a a)))) REDUCED to normal form. ------ 142084/15012786. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 142085/15013020. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) c)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 5. ==[ beta ]==> (((^y.y) b) c) 6. ==[ alpha ]==> (((^x.x) b) c) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 142086/15013110. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142087/15013137. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(^y.b))) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 142088/15013191. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 142089/15013245. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a (a a))(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 142090/15013272. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142091/15013335. ------ 1. ==[ start ]==> (((a a)((a a) a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(a (b (^x.x)))) REDUCED to normal form. ------ 142092/15013362. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(a a))(a a))) REDUCED to normal form. ------ 142093/15013389. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> ((a (a (a a)))(b (a (^y.y)))) 6. ==[ alpha ]==> ((a (a (a a)))(b (a (^x.x)))) REDUCED to normal form. ------ 142094/15013416. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> (((a (a a)) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 142095/15013443. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((b a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((b a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((b a)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(a (a a)))) REDUCED to normal form. ------ 142096/15013470. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 142097/15013497. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> ((a (a b))((a a)((a a) a))) REDUCED to normal form. ------ 142098/15013650. ------ 1. ==[ start ]==> ((((a a) a) b)(c (^b.b))) 2. ==[ alpha ]==> ((((a a) a) b)(c (^x.x))) REDUCED to normal form. ------ 142099/15013677. ------ 1. ==[ start ]==> (((a b) a)(b (^c.(a a)))) 2. ==[ alpha ]==> (((a b) a)(b (^x.(a a)))) REDUCED to normal form. ------ 142100/15013722. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 142101/15013758. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 142102/15013776. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 142103/15013785. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 142104/15013857. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (b ((a a)(^y.a))) 6. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 142105/15013866. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 142106/15013884. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b)(^y.b))) REDUCED to normal form. ------ 142107/15014055. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (b ((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 142108/15014100. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) b) b)) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) b) b)) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) b) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 142109/15014127. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.(^y1.y1))) c)) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) c)) 5. ==[ beta ]==> ((a (^y.(^z.z))) c) 6. ==[ alpha ]==> ((a (^x.(^y.y))) c) REDUCED to normal form. ------ 142110/15014271. ------ 1. ==[ start ]==> (((a b) b)((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 142111/15014298. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 142112/15014352. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 142113/15014406. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 142114/15014478. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) c)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 142115/15014550. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 8. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 142116/15014577. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b)((a a) a))) REDUCED to normal form. ------ 142117/15014604. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((a a) a)(a b))) 3. ==[ beta ]==> ((a ((a a) a))(((a a) a)(a b))) REDUCED to normal form. ------ 142118/15014631. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(a a))) 8. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a a))) 9. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 142119/15014658. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((a (a a))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a (a a))((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 142120/15014685. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)(b a))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(b a))) 5. ==[ beta ]==> ((((a a) a) a)(a (b a))) REDUCED to normal form. ------ 142121/15014703. ------ 1. ==[ start ]==> (((^a.b) c)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)(c (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b (c (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 142122/15014712. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 142123/15014739. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a a)(a a))((a a)((^y.y) b))) 4. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x) b))) 5. ==[ beta ]==> (((a a)(a a))((a a) b)) REDUCED to normal form. ------ 142124/15014802. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 142125/15014937. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)(^z.b))) 3. ==[ beta ]==> (b (((a a) a)(^z.b))) 4. ==[ alpha ]==> (b (((a a) a)(^x.b))) REDUCED to normal form. ------ 142126/15014946. ------ 1. ==[ start ]==> (((a b) c)((^c.a)(a b))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(a b))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 142127/15014973. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 142128/15015000. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 142129/15015045. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 142130/15015054. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 142131/15015081. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.b))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.b))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 142132/15015099. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) b) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) b) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) b) a)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(b a)) REDUCED to normal form. ------ 142133/15015135. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142134/15015189. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 142135/15015216. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 142136/15015243. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 142137/15015387. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b (a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b (a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.y)(b (a (^z.(^x1.x1))))) 8. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 9. ==[ beta ]==> (b (a (^y.(^z.z)))) 10. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 142138/15015414. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(a ((^x.x) b))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a b)) REDUCED to normal form. ------ 142139/15015441. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a b) a)((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (((a b) a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 142140/15015468. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 142141/15015495. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 142142/15015522. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (b a))((a a)(a (a a)))) REDUCED to normal form. ------ 142143/15015756. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 142144/15015801. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((b a)(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((b a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 142145/15015828. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 142146/15015864. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 142147/15015882. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a b)(a b))(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((a b)(a b))(((a a) a)(^x.a))) REDUCED to normal form. ------ 142148/15015891. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 142149/15015945. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 142150/15015963. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 142151/15015972. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 142152/15015999. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(b a))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 142153/15016026. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 142154/15016071. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((b a) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((b a) b)) REDUCED to normal form. ------ 142155/15016305. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b (b a))) REDUCED to normal form. ------ 142156/15016359. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((b a)(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((b a)(a a))) REDUCED to normal form. ------ 142157/15016638. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((b a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142158/15016665. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 142159/15016692. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 142160/15016746. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 142161/15016755. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 142162/15016782. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 142163/15016827. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (b (a (^y.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 142164/15016836. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 142165/15016863. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 142166/15016890. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(b a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(b a)) REDUCED to normal form. ------ 142167/15016935. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142168/15016962. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a)) c)) 3. ==[ beta ]==> ((a (^x.x))((a a) c)) REDUCED to normal form. ------ 142169/15017142. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(^y.y))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 142170/15017169. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(a (b a))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (b a))) REDUCED to normal form. ------ 142171/15017196. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 142172/15017250. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a b) a)) REDUCED to normal form. ------ 142173/15017277. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a b)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 142174/15017448. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 142175/15017556. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142176/15017565. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 142177/15017592. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((b a)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((b a)((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((b a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 142178/15017610. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (b (((^y.y) a)(^z.b))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.b))) 7. ==[ beta ]==> (b (a (^y.b))) 8. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 142179/15017619. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a b))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 142180/15017637. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 142181/15017646. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 142182/15017691. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 142183/15017727. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 142184/15017754. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 142185/15017781. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 142186/15017808. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 142187/15017889. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 142188/15017916. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 142189/15017952. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))(a a))) 5. ==[ beta ]==> (((a a) b)((a a)(a a))) REDUCED to normal form. ------ 142190/15017979. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a b)(a (^x1.x1)))) REDUCED to normal form. ------ 142191/15018006. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((a (b a))(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> ((a (b a))(((a a) a)((^x.x) a))) 5. ==[ beta ]==> ((a (b a))(((a a) a) a)) REDUCED to normal form. ------ 142192/15018033. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 142193/15018060. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((a (a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((a (a a))((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a a)((a (a a))((^x.x)(^y.y)))) 9. ==[ beta ]==> ((a a)((a (a a))(^y.y))) 10. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 142194/15018087. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a b))(a ((a a) a))) REDUCED to normal form. ------ 142195/15018114. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))(a b))) REDUCED to normal form. ------ 142196/15018141. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 142197/15018312. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 142198/15018447. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 142199/15018591. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((b b)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((b b)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((b b)(^y.(a a))) 6. ==[ alpha ]==> ((b b)(^x.(a a))) REDUCED to normal form. ------ 142200/15018636. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.b) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.b) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.b) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 142201/15018663. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)((^x1.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 142202/15018780. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b (^y.b))) REDUCED to normal form. ------ 142203/15018807. ------ 1. ==[ start ]==> (((a b)(^a.b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(a (^y.(a a)))) REDUCED to normal form. ------ 142204/15018861. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 142205/15018906. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a (a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142206/15018915. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 142207/15018942. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 142208/15018969. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 142209/15019167. ------ 1. ==[ start ]==> (((a b)(a b))(b ((a a) a))) REDUCED to normal form. ------ 142210/15019194. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(a (a b))) 3. ==[ beta ]==> (((a a)((a a) a))(a (a b))) REDUCED to normal form. ------ 142211/15019221. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((a a) a)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a)(a a))) REDUCED to normal form. ------ 142212/15019275. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a))((^z.z) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (a a)) a)) REDUCED to normal form. ------ 142213/15019302. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((b (a (^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 142214/15019329. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 142215/15019356. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a)((a a) a))) REDUCED to normal form. ------ 142216/15019446. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (a a))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (a a))(^x2.a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142217/15019527. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 142218/15019671. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b c)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b c)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 142219/15019698. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(^y.a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.a)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.a)) REDUCED to normal form. ------ 142220/15019743. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 142221/15019806. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(c (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))(c (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(c (^y.(y y)))) REDUCED to normal form. ------ 142222/15019833. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 142223/15019905. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 142224/15019914. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 142225/15019941. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 142226/15020013. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142227/15020022. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 142228/15020049. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((b (^x.a))(^z.z)) 8. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 142229/15020076. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 142230/15020139. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 142231/15020166. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (a a))(a a))) REDUCED to normal form. ------ 142232/15020193. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(a (^z.z)))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(a (^y.y)))) 7. ==[ beta ]==> ((a b)(a (a (^y.y)))) 8. ==[ alpha ]==> ((a b)(a (a (^x.x)))) REDUCED to normal form. ------ 142233/15020220. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))((a (^z.z)) a)) REDUCED to normal form. ------ 142234/15020247. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(b a))((a a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(b a))((a a)(a (a a)))) 5. ==[ beta ]==> ((b a)((a a)(a (a a)))) REDUCED to normal form. ------ 142235/15020328. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(c c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(c c)) 3. ==[ beta ]==> (((a a)(a b))(c c)) REDUCED to normal form. ------ 142236/15020436. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(c (a (^z.z)))) 3. ==[ beta ]==> ((b ((^y.y) a))(c (a (^z.z)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(c (a (^y.y)))) 5. ==[ beta ]==> ((b a)(c (a (^y.y)))) 6. ==[ alpha ]==> ((b a)(c (a (^x.x)))) REDUCED to normal form. ------ 142237/15020463. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(b ((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(b a)) REDUCED to normal form. ------ 142238/15020517. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 142239/15020607. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 7. ==[ beta ]==> (((^y.y) a)(^z.z)) 8. ==[ alpha ]==> (((^x.x) a)(^y.y)) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 142240/15020688. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> (b (((^x1.x1) a) a)) 4. ==[ alpha ]==> (b (((^x.x) a) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 142241/15020796. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142242/15020913. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 142243/15020931. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((a a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((a a) b)) 3. ==[ beta ]==> (((^y.(^z.z)) a)((a a) b)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((a a) b)) 5. ==[ beta ]==> ((^y.y)((a a) b)) 6. ==[ alpha ]==> ((^x.x)((a a) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 142244/15020958. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142245/15021012. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a a)(^z.z))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a a)(^z.z))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a a)(^z.z))) 5. ==[ beta ]==> ((b ((^y.y) b))((a a)(^z.z))) 6. ==[ alpha ]==> ((b ((^x.x) b))((a a)(^y.y))) 7. ==[ beta ]==> ((b b)((a a)(^y.y))) 8. ==[ alpha ]==> ((b b)((a a)(^x.x))) REDUCED to normal form. ------ 142246/15021021. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 142247/15021048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142248/15021092. ------ 1. ==[ start ]==> (^a.((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.b)((x x)(^z.z)))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 142249/15021093. ------ 1. ==[ start ]==> (a ((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.b)((a a)(^y.y)))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 142250/15030585. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a))) a) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y))) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 142251/15030591. ------ 1. ==[ start ]==> ((^a.a)((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.b)((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.b)((a a)(^y.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 142252/15030645. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 142253/15030726. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> (((^z.(^x1.x1))(b (^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142254/15031410. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142255/15031548. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(b (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142256/15031944. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(y (^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(y (^z.z)))) 6. ==[ alpha ]==> ((a a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 142257/15032301. ------ 1. ==[ start ]==> ((^a.(^a.b))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(b ((a a)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 142258/15032682. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.((a a)(a a)))) 3. ==[ beta ]==> ((a b)(^y.((a a)(a a)))) 4. ==[ alpha ]==> ((a b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 142259/15033042. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 142260/15033051. ------ 1. ==[ start ]==> (((a b)(a a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((a a)(a a)))) REDUCED to normal form. ------ 142261/15034068. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 142262/15034401. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 142263/15035877. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(^d.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.a))) REDUCED to normal form. ------ 142264/15037260. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((^y.(^z.z))(a (a a)))((^y.(^z.z))(a (a a))))(((^y.(^z.z))(a (a a)))((^y.(^z.z))(a (a a))))) 4. ==[ alpha ]==> ((((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a (a a))))(((^y1.(^z1.z1))(a (a a)))((^x2.(^y2.y2))(a (a a))))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a (a a))))(((^y1.(^z1.z1))(a (a a)))((^x2.(^y2.y2))(a (a a))))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a (a a))))(((^x1.(^y1.y1))(a (a a)))((^z1.(^x2.x2))(a (a a))))) 7. ==[ beta ]==> (((^y.(^z.z))(a (a a)))(((^x1.(^y1.y1))(a (a a)))((^z1.(^x2.x2))(a (a a))))) 8. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.(^x1.x1))(a (a a)))((^y1.(^z1.z1))(a (a a))))) 9. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a (a a)))((^y1.(^z1.z1))(a (a a))))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a (a a)))((^x1.(^y1.y1))(a (a a))))) 11. ==[ beta ]==> (((^y.(^z.z))(a (a a)))((^x1.(^y1.y1))(a (a a)))) 12. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a (a a)))) 13. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 15. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 16. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142265/15037785. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.(a b))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(a b))) 3. ==[ beta ]==> (b (^y.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 142266/15037992. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(a x))) 3. ==[ eta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 142267/15038181. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(^z.y))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.y))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 142268/15038340. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b (^z.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142269/15039126. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 142270/15039261. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 142271/15039675. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^a.d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.d)) 3. ==[ beta ]==> (b (^x1.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 142272/15039945. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 142273/15040008. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 142274/15040080. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142275/15040092. ------ 1. ==[ start ]==> ((a a)((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.b)((a a)(^y.y)))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 142276/15040137. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 142277/15040146. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 142278/15040164. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 142279/15040191. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (b (a (^y.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 142280/15040200. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 142281/15040227. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 142282/15040272. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 142283/15040299. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b (^z.z)) b)) REDUCED to normal form. ------ 142284/15040362. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 142285/15040389. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 142286/15040605. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 142287/15040695. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b (^z.z))(a a))) 3. ==[ beta ]==> ((^y.(y y))((b (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.(x x))((b (^y.y))(a a))) 5. ==[ beta ]==> (((b (^y.y))(a a))((b (^y.y))(a a))) 6. ==[ alpha ]==> (((b (^x.x))(a a))((b (^y.y))(a a))) REDUCED to normal form. ------ 142288/15040722. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 142289/15040776. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 142290/15040803. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((b a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((b a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((b a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((b a)(^x.x))) REDUCED to normal form. ------ 142291/15040830. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 142292/15040884. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a b)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a b)((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a a))((a b)(a a))) REDUCED to normal form. ------ 142293/15040911. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((a a)(^z.z)))) REDUCED to normal form. ------ 142294/15041046. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(b (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142295/15041136. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) b)(^y.a))) 3. ==[ beta ]==> (((a (a a)) b)(b (^y.a))) 4. ==[ alpha ]==> (((a (a a)) b)(b (^x.a))) REDUCED to normal form. ------ 142296/15041163. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a ((a (^y.(^z.z)))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 142297/15041190. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 142298/15041244. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> ((a (^x.a))((a a)(^z.b))) 6. ==[ alpha ]==> ((a (^x.a))((a a)(^y.b))) REDUCED to normal form. ------ 142299/15041271. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.(a a)))) REDUCED to normal form. ------ 142300/15041334. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(b a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 142301/15041361. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 142302/15041388. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((a a)((^y.a)((^z.z) b))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y) b))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 142303/15041415. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 142304/15041442. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(b (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(b (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.x)(b (^y.y)))) 7. ==[ beta ]==> ((a a)(b (^y.y))) 8. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 142305/15041802. ------ 1. ==[ start ]==> ((a (^a.b))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(b ((a a)(a a)))) REDUCED to normal form. ------ 142306/15041991. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 142307/15042072. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) IRREDUCIBLE: cycle. ------ 142308/15042153. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 142309/15042180. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a b)((a a)((a a)(a a)))) REDUCED to normal form. ------ 142310/15042243. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 142311/15042270. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 142312/15042297. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)((b a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.a)((b a)(^y.(y y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 142313/15042324. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 142314/15042351. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.x))((a a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 142315/15042387. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b)(a b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.b)(a b))) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 142316/15042441. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 142317/15042468. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))(b a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((b a)(b a))) REDUCED to normal form. ------ 142318/15042495. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (a ((^y.a)(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> (a ((^x.a)(a (^y.(^z.z))))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 142319/15042522. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 142320/15042540. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(^y.(a a)))) 3. ==[ beta ]==> (b ((a a)(^y.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 142321/15042549. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)((a a)(a a)))) 3. ==[ beta ]==> (((a b)(a a))((a a)(a a))) REDUCED to normal form. ------ 142322/15042882. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b ((^x1.x1) b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b ((^y1.y1) b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b ((^y1.y1) b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((^x1.x1) b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1) b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z) b))) 9. ==[ beta ]==> ((^y.y)(b ((^z.z) b))) 10. ==[ alpha ]==> ((^x.x)(b ((^y.y) b))) 11. ==[ beta ]==> (b ((^y.y) b)) 12. ==[ alpha ]==> (b ((^x.x) b)) 13. ==[ beta ]==> (b b) REDUCED to normal form. ------ 142323/15042945. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y) b)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 142324/15042963. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 142325/15042972. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 142326/15043197. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 142327/15043224. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(b (^y.y))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.x))) REDUCED to normal form. ------ 142328/15043431. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a b) c)(((a a) a)(^x.b))) REDUCED to normal form. ------ 142329/15043458. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a) b)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (((a a) b)(^y.(a a))) 8. ==[ alpha ]==> (((a a) b)(^x.(a a))) REDUCED to normal form. ------ 142330/15043539. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 142331/15043566. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(^z.z))) 3. ==[ beta ]==> ((a (^y.b))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 142332/15043620. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1))) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1))) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142333/15043647. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((b a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((b a) c)) REDUCED to normal form. ------ 142334/15043791. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 142335/15043818. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (a b))(^y.y)) 8. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 142336/15043872. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.(^z2.z2))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.(^z2.z2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142337/15043899. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 142338/15044097. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a b))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(a b))) 7. ==[ beta ]==> (b ((^y.y)(a b))) 8. ==[ alpha ]==> (b ((^x.x)(a b))) 9. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 142339/15044178. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z))(b a))) 3. ==[ beta ]==> (b ((a (^z.z))(b a))) 4. ==[ alpha ]==> (b ((a (^x.x))(b a))) REDUCED to normal form. ------ 142340/15044241. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 142341/15044349. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 142342/15044376. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a) a)(^y.a))) REDUCED to normal form. ------ 142343/15044430. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 142344/15044457. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 142345/15044511. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 142346/15044628. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 142347/15044655. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 142348/15044709. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 142349/15044736. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 142350/15044763. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 142351/15044835. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142352/15044853. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((b a)(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((b a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142353/15044934. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a b)(a (a a)))) 5. ==[ beta ]==> ((a a)((a b)(a (a a)))) REDUCED to normal form. ------ 142354/15045015. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> (b ((a (a a))(a b))) REDUCED to normal form. ------ 142355/15045132. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((b a)(^z.z))) REDUCED to normal form. ------ 142356/15045159. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a)(^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 142357/15045240. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 142358/15045267. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 142359/15045321. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 142360/15045429. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a)(^x1.x1)) b)) REDUCED to normal form. ------ 142361/15045465. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 142362/15045492. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 142363/15045546. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 142364/15045573. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((a b)((^y.(y y))(^z.b))) 6. ==[ alpha ]==> ((a b)((^x.(x x))(^y.b))) 7. ==[ beta ]==> ((a b)((^y.b)(^y.b))) 8. ==[ alpha ]==> ((a b)((^x.b)(^y.b))) 9. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 142365/15045600. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 142366/15045627. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 142367/15045726. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(a a)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142368/15045771. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 142369/15045798. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1)(^x2.x2))((^y2.y2)(^z2.z2)))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(^x2.x2))((^y2.y2)(^z2.z2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142370/15046050. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.x1))) REDUCED to normal form. ------ 142371/15046077. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (a a))(^y.a))) 3. ==[ beta ]==> ((b a)((a (a a))(^y.a))) 4. ==[ alpha ]==> ((b a)((a (a a))(^x.a))) REDUCED to normal form. ------ 142372/15046104. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 142373/15046131. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(a a)))) REDUCED to normal form. ------ 142374/15046212. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a)) b)) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a)) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 142375/15046239. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a b) c)) REDUCED to normal form. ------ 142376/15046266. ------ 1. ==[ start ]==> (((a b)(^c.a))(((a a) a) d)) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a) d)) REDUCED to normal form. ------ 142377/15046599. ------ 1. ==[ start ]==> (((a b)((a a) a))(c (^a.b))) 2. ==[ alpha ]==> (((a b)((a a) a))(c (^x.b))) REDUCED to normal form. ------ 142378/15046626. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (^z.(a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(b (^z.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 142379/15046707. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) b) REDUCED to normal form. ------ 142380/15046734. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((b (a a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((b (a a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 142381/15046761. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 142382/15047040. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(c ((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(c ((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(c ((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142383/15047103. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(a a)) a)) 3. ==[ beta ]==> ((((a a)(a a)) a)(a a)) REDUCED to normal form. ------ 142384/15047121. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a b)(a a))) 3. ==[ beta ]==> (((a a)(a a))((a b)(a a))) REDUCED to normal form. ------ 142385/15047148. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 142386/15047157. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^c.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 142387/15047202. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((b a)(b a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 142388/15047283. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a)(a b))) 2. ==[ alpha ]==> (((^x.b)(a b))((a a)(a b))) 3. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 142389/15047346. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 142390/15047400. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (a a))(^x1.(x1 x1)))) REDUCED to normal form. ------ 142391/15047427. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 142392/15047490. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(a b))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a b)) REDUCED to normal form. ------ 142393/15047517. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 142394/15047571. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 142395/15047598. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.(z z))(^z.(z z)))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 142396/15047625. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 142397/15047652. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 142398/15047679. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.b)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.b)) REDUCED to normal form. ------ 142399/15047841. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 142400/15048228. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 142401/15048255. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 142402/15048309. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.y1))(a (a a)))) REDUCED to normal form. ------ 142403/15048399. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 142404/15048426. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.b))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.b))(a (^z.a))) 6. ==[ alpha ]==> (((a a)(^x.b))(a (^y.a))) REDUCED to normal form. ------ 142405/15048507. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 142406/15048534. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (a a)) b)) 3. ==[ beta ]==> ((b (^y.a))((a (a a)) b)) 4. ==[ alpha ]==> ((b (^x.a))((a (a a)) b)) REDUCED to normal form. ------ 142407/15048624. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 142408/15048732. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(b (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(b a))(b (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(b a))(b (^y.(y y)))) 5. ==[ beta ]==> ((b a)(b (^y.(y y)))) 6. ==[ alpha ]==> ((b a)(b (^x.(x x)))) REDUCED to normal form. ------ 142409/15048759. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 142410/15048786. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a b)(a a))((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(a a))) 5. ==[ beta ]==> (((a b)(a a))((a a)(a a))) REDUCED to normal form. ------ 142411/15048813. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 142412/15048840. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 142413/15048894. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 142414/15048921. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 142415/15048948. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 142416/15049173. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(a d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a d)) 3. ==[ beta ]==> (b (a d)) REDUCED to normal form. ------ 142417/15049281. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142418/15049398. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((a (^z.z)) a)) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z)) a)) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y)) a)) 5. ==[ beta ]==> (a ((a (^y.y)) a)) 6. ==[ alpha ]==> (a ((a (^x.x)) a)) REDUCED to normal form. ------ 142419/15049416. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(b (a a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(b (a a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(b (a a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(b (a a))) 5. ==[ beta ]==> ((^y.y)(b (a a))) 6. ==[ alpha ]==> ((^x.x)(b (a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 142420/15049443. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 142421/15049497. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(b a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(b a)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(b a)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(b a)) 5. ==[ beta ]==> ((b ((^y.y) b))(b a)) 6. ==[ alpha ]==> ((b ((^x.x) b))(b a)) 7. ==[ beta ]==> ((b b)(b a)) REDUCED to normal form. ------ 142422/15049506. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 142423/15049533. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((a a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((a a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a) a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142424/15049578. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 142425/15049586. ------ 1. ==[ start ]==> (^a.((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (^x.((x b)(^y.(^z.z)))) REDUCED to normal form. ------ 142426/15049587. ------ 1. ==[ start ]==> (a ((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (a ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 142427/15059079. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a))) b) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y))) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 142428/15059088. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a))) a) 2. ==[ alpha ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 142429/15059094. ------ 1. ==[ start ]==> ((^a.a)((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 142430/15059103. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142431/15059148. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 142432/15059184. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142433/15059268. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.(^z1.z1)) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.(^z1.z1)) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (^y.((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142434/15059346. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (^y.((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (^x.((^y.(a a))(^z.a))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 142435/15059589. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 142436/15059682. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((^x.(x x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x)) a)(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 142437/15060471. ------ 1. ==[ start ]==> ((^a.((a a) a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((^x.((x x) x))((b (^y.y)) a)) 3. ==[ beta ]==> ((((b (^y.y)) a)((b (^y.y)) a))((b (^y.y)) a)) 4. ==[ alpha ]==> ((((b (^x.x)) a)((b (^y.y)) a))((b (^z.z)) a)) REDUCED to normal form. ------ 142438/15060804. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 142439/15061194. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((a a)(a a)))) REDUCED to normal form. ------ 142440/15061371. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (^y.(((^z.(a a))((a a) a))((^z.(a a))((a a) a)))) 4. ==[ alpha ]==> (^x.(((^y.(a a))((a a) a))((^z.(a a))((a a) a)))) 5. ==[ beta ]==> (^x.((a a)((^z.(a a))((a a) a)))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a))((a a) a)))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 142441/15061554. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 142442/15061578. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((^y.y)((((a a)(a a)) a)(((a a)(a a)) a))) 4. ==[ alpha ]==> ((^x.x)((((a a)(a a)) a)(((a a)(a a)) a))) 5. ==[ beta ]==> ((((a a)(a a)) a)(((a a)(a a)) a)) REDUCED to normal form. ------ 142443/15061923. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((z z)(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.((z z)(z z)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.((y y)(y y)))) 7. ==[ beta ]==> ((^y.((y y)(y y)))(^y.((y y)(y y)))) 8. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.((y y)(y y)))) 9. ==[ beta ]==> (((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y))))) 10. ==[ alpha ]==> (((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1))))) 11. ==[ beta ]==> ((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1))))) 12. ==[ alpha ]==> ((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1))))) 13. ==[ beta ]==> (((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1))))) 14. ==[ alpha ]==> (((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2))))) 15. ==[ beta ]==> ((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2))))) 16. ==[ alpha ]==> ((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3))))) 17. ==[ beta ]==> (((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3))))) 18. ==[ alpha ]==> (((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3))))) 19. ==[ beta ]==> ((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3))))) 20. ==[ alpha ]==> ((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4))))) 21. ==[ beta ]==> (((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4))))) 22. ==[ alpha ]==> (((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5))))) 23. ==[ beta ]==> ((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5))))) 24. ==[ alpha ]==> ((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5))))) 25. ==[ beta ]==> (((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5))))) 26. ==[ alpha ]==> (((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6))))) 27. ==[ beta ]==> ((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6))))) 28. ==[ alpha ]==> ((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7))))) 29. ==[ beta ]==> (((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7))))) 30. ==[ alpha ]==> (((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7))))) 31. ==[ beta ]==> ((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7))))) 32. ==[ alpha ]==> ((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8))))) 33. ==[ beta ]==> (((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8))))) 34. ==[ alpha ]==> (((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9))))) 35. ==[ beta ]==> ((((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9))))) UNREDUCED: maximal number of reductions reached. ------ 142444/15062589. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.(x x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.y)) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 142445/15063009. ------ 1. ==[ start ]==> ((^a.(b a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z)) d)) 3. ==[ eta ]==> (b ((^y.(^z.z)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142446/15063558. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 142447/15063840. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142448/15063846. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (((^x1.(^y1.(^z1.z1))) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142449/15064128. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142450/15064449. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142451/15064938. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(^d.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 142452/15065181. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 142453/15065763. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y.y)(^z.z))(^x1.(x1 x1))))((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y.y)(^z.z))(^x1.(x1 x1))))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1))))((((^x2.x2)(^y2.y2))(^z2.(z2 z2)))(((^x3.x3)(^y3.y3))(^z3.(z3 z3))))) 5. ==[ beta ]==> ((((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1))))((((^x2.x2)(^y2.y2))(^z2.(z2 z2)))(((^x3.x3)(^y3.y3))(^z3.(z3 z3))))) 6. ==[ alpha ]==> ((((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1))))((((^z1.z1)(^x2.x2))(^y2.(y2 y2)))(((^z2.z2)(^x3.x3))(^y3.(y3 y3))))) 7. ==[ beta ]==> (((^y.(y y))(((^z.z)(^x1.x1))(^y1.(y1 y1))))((((^z1.z1)(^x2.x2))(^y2.(y2 y2)))(((^z2.z2)(^x3.x3))(^y3.(y3 y3))))) 8. ==[ alpha ]==> (((^x.(x x))(((^y.y)(^z.z))(^x1.(x1 x1))))((((^y1.y1)(^z1.z1))(^x2.(x2 x2)))(((^y2.y2)(^z2.z2))(^x3.(x3 x3))))) 9. ==[ beta ]==> (((((^y.y)(^z.z))(^x1.(x1 x1)))(((^y.y)(^z.z))(^x1.(x1 x1))))((((^y1.y1)(^z1.z1))(^x2.(x2 x2)))(((^y2.y2)(^z2.z2))(^x3.(x3 x3))))) 10. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1))))((((^x2.x2)(^y2.y2))(^z2.(z2 z2)))(((^x3.x3)(^y3.y3))(^z3.(z3 z3))))) IRREDUCIBLE: cycle. ------ 142454/15066108. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^x.(x x))) REDUCED to normal form. ------ 142455/15066297. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.(a b))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(a b))) REDUCED to normal form. ------ 142456/15067503. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142457/15068004. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(x1 x1)) a)) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142458/15068097. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 142459/15068178. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (b (^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 142460/15068448. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 142461/15068502. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b b)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((b b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 142462/15068538. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.b)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.b)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142463/15068583. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 142464/15068592. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 142465/15068604. ------ 1. ==[ start ]==> ((a a)((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 142466/15068613. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 142467/15068658. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 142468/15068667. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 142469/15068694. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((^x1.x1) b)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)((^x1.x1) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b ((^x1.x1) b))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z) b))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 142470/15068748. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(b (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(b (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(b (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142471/15068775. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)((^y1.(^z1.z1)) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.(^z1.z1)) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142472/15068856. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 142473/15069018. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 142474/15069099. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 142475/15069189. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a a)(a ((^y.(^z.z)) a))) 4. ==[ alpha ]==> ((a a)(a ((^x.(^y.y)) a))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 142476/15069270. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> ((a b)(((^y.y) b)((^z.z) a))) 4. ==[ alpha ]==> ((a b)(((^x.x) b)((^y.y) a))) 5. ==[ beta ]==> ((a b)(b ((^y.y) a))) 6. ==[ alpha ]==> ((a b)(b ((^x.x) a))) 7. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 142477/15069297. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 142478/15069324. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((b a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((b a)(^y.y))) REDUCED to normal form. ------ 142479/15069351. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(^z.z))((a a) a))) REDUCED to normal form. ------ 142480/15069378. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 142481/15069405. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a b)(a a))) REDUCED to normal form. ------ 142482/15069513. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> ((b b)(((^y.y) a)((^z.z) b))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)((^y.y) b))) 5. ==[ beta ]==> ((b b)(a ((^y.y) b))) 6. ==[ alpha ]==> ((b b)(a ((^x.x) b))) 7. ==[ beta ]==> ((b b)(a b)) REDUCED to normal form. ------ 142483/15069693. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142484/15069774. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a))(a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(a b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 142485/15069873. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 142486/15069900. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(^z.z))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.y))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 142487/15069981. ------ 1. ==[ start ]==> ((a ((a a) a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((a ((a a) a))((b (^x.x)) a)) REDUCED to normal form. ------ 142488/15070017. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 142489/15070071. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 5. ==[ beta ]==> (a ((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 142490/15070152. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.b))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.b))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 142491/15070179. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 142492/15070314. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 142493/15070413. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.b) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y) c)) 3. ==[ beta ]==> (((a (a a)) a)((^y.y) c)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x) c)) 5. ==[ beta ]==> (((a (a a)) a) c) REDUCED to normal form. ------ 142494/15070485. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 142495/15070647. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((((a a) a) b)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a) a) b)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 142496/15070665. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (^z.z))) 3. ==[ beta ]==> (b (c (^z.z))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 142497/15070674. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> (((a b) a)((a (^x.x)) b)) REDUCED to normal form. ------ 142498/15070692. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(b (^y.(a a)))) 3. ==[ beta ]==> ((a b)(b (^y.(a a)))) 4. ==[ alpha ]==> ((a b)(b (^x.(a a)))) REDUCED to normal form. ------ 142499/15070701. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)((a a)(a a)))) REDUCED to normal form. ------ 142500/15070773. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (^y.y))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 142501/15070854. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142502/15070881. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 142503/15070899. ------ 1. ==[ start ]==> (((a a)(a b))((a b)(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))((a b)(^x.b))) REDUCED to normal form. ------ 142504/15070926. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 142505/15071007. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (a (((^y.y) a)(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> (a (((^x.x) a)(^y.(^z.(^x1.x1))))) 9. ==[ beta ]==> (a (a (^y.(^z.(^x1.x1))))) 10. ==[ alpha ]==> (a (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 142506/15071034. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 142507/15071061. ------ 1. ==[ start ]==> (((a b)(a a))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 142508/15071088. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((a (a a))(((a a)(a a)) a)) REDUCED to normal form. ------ 142509/15071097. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a))(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 142510/15071124. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142511/15071259. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> (b ((^x1.b)(^y1.b))) 4. ==[ alpha ]==> (b ((^x.b)(^y.b))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 142512/15071313. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 142513/15071394. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.z1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.y1))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142514/15071403. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b ((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 142515/15071430. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((a a)(a a)))) 5. ==[ beta ]==> ((^y.(y y))(a ((a a)(a a)))) 6. ==[ alpha ]==> ((^x.(x x))(a ((a a)(a a)))) 7. ==[ beta ]==> ((a ((a a)(a a)))(a ((a a)(a a)))) REDUCED to normal form. ------ 142516/15071457. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(b (a a))) REDUCED to normal form. ------ 142517/15071484. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) REDUCED to normal form. ------ 142518/15071511. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((b a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.x))((b a) a)) REDUCED to normal form. ------ 142519/15071700. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a)(b a))) 3. ==[ beta ]==> (b (((^y.y) a)(b a))) 4. ==[ alpha ]==> (b (((^x.x) a)(b a))) 5. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 142520/15071799. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 142521/15071934. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)((a a) a))) 3. ==[ beta ]==> (b ((^z.b)((a a) a))) 4. ==[ alpha ]==> (b ((^x.b)((a a) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 142522/15072015. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(((a a)(^z.z))((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 142523/15072042. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.a)(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 5. ==[ beta ]==> ((^y.a)(b a)) 6. ==[ alpha ]==> ((^x.a)(b a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 142524/15072096. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)((^z.z) b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((^y.y) b))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y) b)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x) b)) 7. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 142525/15072438. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.b) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y) a)) 3. ==[ beta ]==> (((a b) a)((^y.y) a)) 4. ==[ alpha ]==> (((a b) a)((^x.x) a)) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 142526/15072465. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 142527/15072519. ------ 1. ==[ start ]==> ((a (b a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y)) d)) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 142528/15072690. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (^d.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 142529/15072879. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 142530/15072960. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (b (((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (b ((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 142531/15073068. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 142532/15073086. ------ 1. ==[ start ]==> (((a a)(b a))((b a) b)) REDUCED to normal form. ------ 142533/15073347. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142534/15073356. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 142535/15073635. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142536/15073689. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142537/15073743. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.b)(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.b)(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.b)(a (a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.b)(a (a a)))) 9. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 142538/15073824. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 142539/15073959. ------ 1. ==[ start ]==> ((a (^b.b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 142540/15074238. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142541/15074247. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(a a)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 142542/15074445. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (^d.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 142543/15074607. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))((a a) a))) 5. ==[ beta ]==> (b ((^y.(y y))((a a) a))) 6. ==[ alpha ]==> (b ((^x.(x x))((a a) a))) 7. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 142544/15074634. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 142545/15074688. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 142546/15074769. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.b)(^z.a))) 3. ==[ beta ]==> (b ((^y.b)(^z.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 142547/15074877. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.a)(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142548/15074913. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((b (^y.y))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((b (^x.x))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((b (^x.x))(b (a a))) REDUCED to normal form. ------ 142549/15074949. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 142550/15074976. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a a)) REDUCED to normal form. ------ 142551/15075003. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.b) c)) 3. ==[ beta ]==> ((a (b a))((^y.b) c)) 4. ==[ alpha ]==> ((a (b a))((^x.b) c)) 5. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 142552/15075219. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a b)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 142553/15075246. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((b (a a))(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((b (a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 142554/15075273. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a ((a a)(a a)))(^y.(y y))) 6. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(x x))) REDUCED to normal form. ------ 142555/15075309. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142556/15075444. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 142557/15075552. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142558/15075588. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b (a b))) 2. ==[ alpha ]==> ((((^x.x) b) b)(b (a b))) 3. ==[ beta ]==> ((b b)(b (a b))) REDUCED to normal form. ------ 142559/15075615. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(a ((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(a (a a))) REDUCED to normal form. ------ 142560/15075669. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 142561/15075696. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)((^z1.z1) a))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)((^y1.y1) a))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1) a)) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1) a)) 9. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 142562/15075777. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 142563/15075795. ------ 1. ==[ start ]==> (((^a.b)(a b))(b (^a.b))) 2. ==[ alpha ]==> (((^x.b)(a b))(b (^y.b))) 3. ==[ beta ]==> (b (b (^y.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 142564/15075804. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)(a b))) REDUCED to normal form. ------ 142565/15075903. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142566/15076002. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a a)(^x.b))) REDUCED to normal form. ------ 142567/15076029. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a b) a)) 3. ==[ beta ]==> (((a (^x.x)) b)((a b) a)) REDUCED to normal form. ------ 142568/15076056. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((a a) a) b)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((a a) a) b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a) b)) REDUCED to normal form. ------ 142569/15076083. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> (((a (a a))(b a))((^y.y) c)) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.x) c)) 5. ==[ beta ]==> (((a (a a))(b a)) c) REDUCED to normal form. ------ 142570/15076218. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.b) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 142571/15076272. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 142572/15076443. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(a (^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))(a (^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142573/15076524. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142574/15076632. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142575/15076668. ------ 1. ==[ start ]==> ((((^a.a) b) c)(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(c (a (a a)))) 3. ==[ beta ]==> ((b c)(c (a (a a)))) REDUCED to normal form. ------ 142576/15076695. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(b (^y.y))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(b (^x.x))) REDUCED to normal form. ------ 142577/15076803. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(a ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 142578/15076830. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (^x1.x1))(a (a a)))) REDUCED to normal form. ------ 142579/15076902. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142580/15077010. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142581/15077163. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 142582/15077190. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(z z)) b)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(z z)) b)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y)) b)) 5. ==[ beta ]==> ((a b)((^y.(y y)) b)) 6. ==[ alpha ]==> ((a b)((^x.(x x)) b)) 7. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 142583/15077217. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.a) c)) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 142584/15077298. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (a a))(^y.y))) 3. ==[ beta ]==> (((a b)(a a))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a b)(a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 142585/15077325. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a b))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 142586/15077352. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 142587/15077406. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (a a)) a)) REDUCED to normal form. ------ 142588/15077433. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(((^z.z) a) b)) 3. ==[ beta ]==> ((b ((^y.y) a))(((^z.z) a) b)) 4. ==[ alpha ]==> ((b ((^x.x) a))(((^y.y) a) b)) 5. ==[ beta ]==> ((b a)(((^y.y) a) b)) 6. ==[ alpha ]==> ((b a)(((^x.x) a) b)) 7. ==[ beta ]==> ((b a)(a b)) REDUCED to normal form. ------ 142589/15077514. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.(z z)) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) a)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 142590/15077604. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 142591/15077685. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 142592/15077793. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(c (^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142593/15077928. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142594/15077955. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142595/15078009. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((b ((^y.y) b))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((b b)(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((b b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 142596/15078018. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(b a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b a)) REDUCED to normal form. ------ 142597/15078045. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(a b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(a b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(a b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a b)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a b)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142598/15078090. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 142599/15078099. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(a a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 142600/15078705. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> ((^x.(x (x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x (x x)))(^y.(^z.z))) 5. ==[ beta ]==> ((^y.(^z.z))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142601/15082863. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^x1.(x1 (^y1.(^z1.z1))))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^x1.(^y1.y1))(^y.(^z.z))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142602/15087021. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(x1 (x1 x1)))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142603/15087600. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a))) c) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y))) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 142604/15087609. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a))) b) 2. ==[ alpha ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 142605/15087633. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142606/15087714. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (a a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142607/15087807. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 142608/15087876. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(a a)) c)) 3. ==[ beta ]==> (^y.(((a a)(a a)) c)) 4. ==[ alpha ]==> (^x.(((a a)(a a)) c)) REDUCED to normal form. ------ 142609/15088218. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a ((^y.(^z.z)) a))((a ((^y.(^z.z)) a))(a ((^y.(^z.z)) a)))) 4. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a ((^z.(^x1.x1)) a))(a ((^y1.(^z1.z1)) a)))) 5. ==[ beta ]==> ((a (^y.y))((a ((^z.(^x1.x1)) a))(a ((^y1.(^z1.z1)) a)))) 6. ==[ alpha ]==> ((a (^x.x))((a ((^y.(^z.z)) a))(a ((^x1.(^y1.y1)) a)))) 7. ==[ beta ]==> ((a (^x.x))((a (^z.z))(a ((^x1.(^y1.y1)) a)))) 8. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a ((^z.(^x1.x1)) a)))) 9. ==[ beta ]==> ((a (^x.x))((a (^y.y))(a (^x1.x1)))) 10. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 142610/15088221. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((^y.(^z.z)) x))) 3. ==[ eta ]==> ((a (a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 142611/15088569. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142612/15089382. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 142613/15089514. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((^z.z)(^x1.x1))) b) 4. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z))) b) 5. ==[ beta ]==> ((((a a)(^x.x))(^z.z)) b) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 142614/15089901. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (^y.((((^z.z)(a a))(^x1.a))(((^z.z)(a a))(^x1.a)))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a))(^z.a))(((^x1.x1)(a a))(^y1.a)))) 5. ==[ beta ]==> (^x.(((a a)(^z.a))(((^x1.x1)(a a))(^y1.a)))) 6. ==[ alpha ]==> (^x.(((a a)(^y.a))(((^z.z)(a a))(^x1.a)))) 7. ==[ beta ]==> (^x.(((a a)(^y.a))((a a)(^x1.a)))) 8. ==[ alpha ]==> (^x.(((a a)(^y.a))((a a)(^z.a)))) REDUCED to normal form. ------ 142615/15090453. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(a a)))) 7. ==[ beta ]==> ((^y.(^z.(a a)))(^y.(^z.(a a)))) 8. ==[ alpha ]==> ((^x.(^y.(a a)))(^z.(^x1.(a a)))) 9. ==[ beta ]==> (^y.(a a)) 10. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 142616/15090783. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> ((((a a)((^z.z) b))((a a)((^z.z) b)))(^y.y)) 4. ==[ alpha ]==> ((((a a)((^x.x) b))((a a)((^y.y) b)))(^z.z)) 5. ==[ beta ]==> ((((a a) b)((a a)((^y.y) b)))(^z.z)) 6. ==[ alpha ]==> ((((a a) b)((a a)((^x.x) b)))(^y.y)) 7. ==[ beta ]==> ((((a a) b)((a a) b))(^y.y)) 8. ==[ alpha ]==> ((((a a) b)((a a) b))(^x.x)) REDUCED to normal form. ------ 142617/15091461. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a b) a)(^y.((^z.z) b))) 4. ==[ alpha ]==> (((a b) a)(^x.((^y.y) b))) 5. ==[ beta ]==> (((a b) a)(^x.b)) REDUCED to normal form. ------ 142618/15091539. ------ 1. ==[ start ]==> ((^a.(b a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))(((a a)(^y.y))((^z.z) a))) 3. ==[ eta ]==> (b (((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 142619/15091776. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 142620/15092088. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 142621/15092370. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142622/15092376. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^x1.(^y1.y1))))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 142623/15092379. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 142624/15092667. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 142625/15092979. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142626/15093216. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(b z))) 3. ==[ eta ]==> ((((a a)(^x.x))((^y.y) a)) b) 4. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 142627/15093294. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a b)((^z.z) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 142628/15093972. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 142629/15094638. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 142630/15095241. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(x1 b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(x1 b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(z b))) REDUCED to normal form. ------ 142631/15095373. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142632/15096042. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 142633/15096186. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 142634/15096534. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(a (a (a a)))) 3. ==[ eta ]==> ((^y.(^z.z))(a (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142635/15096537. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(z (z z)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z (z z)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 142636/15096708. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (b (^x1.(^y1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 142637/15096933. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(a (^z.z)))) 5. ==[ beta ]==> (a (^y.(a (^z.z)))) 6. ==[ alpha ]==> (a (^x.(a (^y.y)))) REDUCED to normal form. ------ 142638/15096978. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^c.b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.b)) 3. ==[ beta ]==> ((^y.y)(^x1.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 142639/15097032. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.z)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.z)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.z)) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.z)) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.y)) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 142640/15097041. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 142641/15097068. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142642/15097113. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 142643/15097122. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 142644/15097152. ------ 1. ==[ start ]==> ((a (^a.a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 142645/15097161. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> (a ((^y.b)((a a)(^z.z)))) 4. ==[ alpha ]==> (a ((^x.b)((a a)(^y.y)))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 142646/15097206. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 142647/15097215. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 142648/15097233. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 142649/15097242. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z) b))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) b))) 5. ==[ beta ]==> (b (((^y.y) b)((^y.y) b))) 6. ==[ alpha ]==> (b (((^x.x) b)((^y.y) b))) 7. ==[ beta ]==> (b (b ((^y.y) b))) 8. ==[ alpha ]==> (b (b ((^x.x) b))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 142650/15097269. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(a a)))) 5. ==[ beta ]==> ((^y.a)((a a)(a a))) 6. ==[ alpha ]==> ((^x.a)((a a)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 142651/15097296. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(b (^z.z)))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 142652/15097323. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 142653/15097341. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> ((a (^y.y))(((^z.(^x1.x1)) a) a)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.(^z.z)) a) a)) 5. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 142654/15097368. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((b (^z.z)) b)) 3. ==[ beta ]==> ((^y.y)((b (^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) b)) 5. ==[ beta ]==> ((b (^y.y)) b) 6. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 142655/15097395. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(a a)) c)) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(a a)) c)) REDUCED to normal form. ------ 142656/15097431. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 142657/15097512. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 142658/15097539. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 142659/15097566. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 142660/15097620. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 142661/15097710. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b (b (^y.y)))) 3. ==[ beta ]==> ((a (a a))(b (b (^y.y)))) 4. ==[ alpha ]==> ((a (a a))(b (b (^x.x)))) REDUCED to normal form. ------ 142662/15097737. ------ 1. ==[ start ]==> ((a (a (a a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (a (a a)))(a ((^x.(^y.y)) a))) 3. ==[ beta ]==> ((a (a (a a)))(a (^y.y))) 4. ==[ alpha ]==> ((a (a (a a)))(a (^x.x))) REDUCED to normal form. ------ 142663/15097980. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 142664/15098007. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(b a))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(b a))) 7. ==[ beta ]==> (((a (^x.x)) a)(b a)) REDUCED to normal form. ------ 142665/15098034. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 142666/15098061. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(a a))(a ((^y.y) b))) 4. ==[ alpha ]==> (((a (a a))(a a))(a ((^x.x) b))) 5. ==[ beta ]==> (((a (a a))(a a))(a b)) REDUCED to normal form. ------ 142667/15098088. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 142668/15098178. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 142669/15098187. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 142670/15098214. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z) a))) 5. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 142671/15098232. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 142672/15098241. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 142673/15098259. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 142674/15098295. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 142675/15098313. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.b))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 142676/15098322. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 142677/15098349. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 142678/15098556. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 142679/15098727. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 142680/15098808. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142681/15098835. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 142682/15098871. ------ 1. ==[ start ]==> (((a a)((a a) a))(b ((a a)(a a)))) REDUCED to normal form. ------ 142683/15098898. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a (b (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a (b (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (b (^z.z)))) REDUCED to normal form. ------ 142684/15098925. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((a (a (a a)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 142685/15098952. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a)) a)(b (a (^y.y)))) 6. ==[ alpha ]==> (((a (a a)) a)(b (a (^x.x)))) REDUCED to normal form. ------ 142686/15098979. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))((^x1.x1) a))) 7. ==[ beta ]==> ((a (^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 142687/15099006. ------ 1. ==[ start ]==> ((((a a) a)(a a))((b a)(a (a a)))) REDUCED to normal form. ------ 142688/15099033. ------ 1. ==[ start ]==> ((a (a b))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 142689/15099213. ------ 1. ==[ start ]==> (((a b) a)(c (^b.b))) 2. ==[ alpha ]==> (((a b) a)(c (^x.x))) REDUCED to normal form. ------ 142690/15099240. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (^y.(a a)))) REDUCED to normal form. ------ 142691/15099294. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 142692/15099312. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(b (^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 142693/15099321. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 142694/15099348. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 142695/15099393. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 142696/15099402. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 142697/15099420. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 142698/15099591. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142699/15099636. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((^y.(a a))(((a a)(a a)) a)) 4. ==[ alpha ]==> ((^x.(a a))(((a a)(a a)) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 142700/15099663. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) b) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 5. ==[ beta ]==> (((^y.y) b) b) 6. ==[ alpha ]==> (((^x.x) b) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 142701/15099807. ------ 1. ==[ start ]==> (((a b) b)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a b) b)((^x.b)(^y.b))) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 142702/15099861. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 142703/15099942. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 142704/15100014. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z) b)) 3. ==[ beta ]==> (b ((^z.z) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 142705/15100086. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 142706/15100113. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a b))((a a)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.y))) REDUCED to normal form. ------ 142707/15100140. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a b)((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))((a b)((a a) a))) REDUCED to normal form. ------ 142708/15100167. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a) a)(a b))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a) a)(a b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)(a b))) REDUCED to normal form. ------ 142709/15100194. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (a a))((^y.y)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y)(a a)))) 9. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 10. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 11. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 142710/15100221. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a) a)((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> ((((a a) a) a)((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 142711/15100239. ------ 1. ==[ start ]==> (((^a.b) c)(d (^d.a))) 2. ==[ alpha ]==> (((^x.b) c)(d (^y.a))) 3. ==[ beta ]==> (b (d (^y.a))) 4. ==[ alpha ]==> (b (d (^x.a))) REDUCED to normal form. ------ 142712/15100248. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (b a))) REDUCED to normal form. ------ 142713/15100275. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 142714/15100302. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)((^y.y) b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a) b)) REDUCED to normal form. ------ 142715/15100338. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.z))) 5. ==[ beta ]==> (((^y.y) b)(^z.z)) 6. ==[ alpha ]==> (((^x.x) b)(^y.y)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142716/15100473. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b)(^z.a))) 3. ==[ beta ]==> (b ((a b)(^z.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 142717/15100482. ------ 1. ==[ start ]==> (((a b) c)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.b)((a a) a))) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 142718/15100509. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(a b))) 3. ==[ beta ]==> (((a a) b)((^y.a)(a b))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(a b))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 142719/15100536. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 142720/15100590. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 142721/15100617. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 142722/15100635. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a a)(^y.y))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 142723/15100671. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142724/15100698. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 142725/15100716. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((b a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((b a) c)) 3. ==[ beta ]==> (b ((b a) c)) REDUCED to normal form. ------ 142726/15100779. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 142727/15100950. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 142728/15100977. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a ((^y.y) b))) 3. ==[ beta ]==> (((a b) a)(a ((^y.y) b))) 4. ==[ alpha ]==> (((a b) a)(a ((^x.x) b))) 5. ==[ beta ]==> (((a b) a)(a b)) REDUCED to normal form. ------ 142729/15101004. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 142730/15101031. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((b a)(a (^y.y)))) REDUCED to normal form. ------ 142731/15101058. ------ 1. ==[ start ]==> ((a (b a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> ((a (b a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 142732/15101292. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 142733/15101337. ------ 1. ==[ start ]==> (((^a.a)(b a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b a)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 142734/15101364. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 142735/15101400. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 142736/15101418. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 142737/15101427. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 142738/15101481. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 142739/15101499. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 142740/15101508. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a b)(^x.(x x)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a b)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 142741/15101535. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 142742/15101562. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 142743/15101607. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.(^y1.y1))) a)) REDUCED to normal form. ------ 142744/15101886. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142745/15101895. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 142746/15101904. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.(^x2.x2))) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142747/15102183. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 142748/15102201. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((b a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 142749/15102228. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 142750/15102282. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a b)(^z.(z z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a b)(^z.(z z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)(^y.(y y)))) 7. ==[ beta ]==> (((a a)(a a))((a b)(^y.(y y)))) 8. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 142751/15102291. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) b) REDUCED to normal form. ------ 142752/15102318. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 142753/15102363. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (a a))(^x1.b))) 3. ==[ beta ]==> (b ((a (a a))(^x1.b))) 4. ==[ alpha ]==> (b ((a (a a))(^x.b))) REDUCED to normal form. ------ 142754/15102372. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 142755/15102399. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 142756/15102426. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 142757/15102471. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((b a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((b a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((b a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142758/15102498. ------ 1. ==[ start ]==> ((a (^b.b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 142759/15102678. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(c ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(c ((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(c (a a))) REDUCED to normal form. ------ 142760/15102705. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b ((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(b ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 142761/15102732. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a (b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a (b a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (b a))) REDUCED to normal form. ------ 142762/15102786. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)(a (^z.z)))) REDUCED to normal form. ------ 142763/15102813. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a b)((^y.y) a))) 3. ==[ beta ]==> ((a b)((a b)((^y.y) a))) 4. ==[ alpha ]==> ((a b)((a b)((^x.x) a))) 5. ==[ beta ]==> ((a b)((a b) a)) REDUCED to normal form. ------ 142764/15103092. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((a a) a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142765/15103101. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 142766/15103128. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 142767/15103146. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.a))) 5. ==[ beta ]==> (b ((a (a a))(^y.a))) 6. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 142768/15103155. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 142769/15103173. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1) a)(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((^y.y) a)(^z.b)) 6. ==[ alpha ]==> (((^x.x) a)(^y.b)) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 142770/15103182. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 142771/15103263. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 142772/15103290. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 142773/15103308. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a b) c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 142774/15103317. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 142775/15103344. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 142776/15103371. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 142777/15103425. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.a)(^z1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 142778/15103452. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 142779/15103488. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a ((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) b)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 142780/15103515. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 142781/15103542. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a b)(a (^y.y)))) 3. ==[ beta ]==> ((a (b a))((a b)(a (^y.y)))) 4. ==[ alpha ]==> ((a (b a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 142782/15103569. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 142783/15103596. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(a (a a)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a (a a)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a (a a)))) 9. ==[ beta ]==> ((a a)((^y.y)(a (a a)))) 10. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 11. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 142784/15103623. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a b))((a (a a))(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a b))((a (a a))(^x.x))) REDUCED to normal form. ------ 142785/15103650. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x) a)((a a) a))) 3. ==[ beta ]==> (((a b)((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 142786/15103677. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(a b))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a b))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 142787/15103704. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 142788/15103848. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 142789/15103983. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 142790/15104127. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 142791/15104154. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)(^y.(a a)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.(a a))) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(a a))) REDUCED to normal form. ------ 142792/15104172. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a)) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) a)) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 142793/15104199. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.b) b)) 3. ==[ beta ]==> ((^y.y)((^x1.b) b)) 4. ==[ alpha ]==> ((^x.x)((^y.b) b)) 5. ==[ beta ]==> ((^y.b) b) 6. ==[ alpha ]==> ((^x.b) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 142794/15104316. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c (^y.a))) REDUCED to normal form. ------ 142795/15104343. ------ 1. ==[ start ]==> (((a b)(^a.b))(b (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.b))(b (^y.b))) REDUCED to normal form. ------ 142796/15104397. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 142797/15104442. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142798/15104451. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 142799/15104478. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 142800/15104505. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 142801/15104703. ------ 1. ==[ start ]==> (((a b)(a b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)(a b))(c (^y.y))) 4. ==[ alpha ]==> (((a b)(a b))(c (^x.x))) REDUCED to normal form. ------ 142802/15104730. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(b ((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a))(b ((a a) a))) REDUCED to normal form. ------ 142803/15104757. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(a (a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a (a b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (a b))) REDUCED to normal form. ------ 142804/15104811. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.x1))) 8. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.z))) REDUCED to normal form. ------ 142805/15104838. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((b (a (^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 142806/15104865. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(a (a (a a)))) REDUCED to normal form. ------ 142807/15104892. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 142808/15104982. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2)(^y2.y2))(^z2.(^x3.x3)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2)(^y2.y2))(^z2.(^x3.x3)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142809/15105063. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 142810/15105207. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((b c)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((b c)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 142811/15105234. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 142812/15105279. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^c.a) a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((b (^y.y))((^z.a) a)) 4. ==[ alpha ]==> ((b (^x.x))((^y.a) a)) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 142813/15105306. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142814/15105441. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142815/15105450. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 142816/15105477. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.b))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 142817/15105549. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142818/15105558. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 142819/15105585. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 142820/15105612. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 142821/15105675. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(b (a (a a)))) REDUCED to normal form. ------ 142822/15105702. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a (^y.y))) REDUCED to normal form. ------ 142823/15105729. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (a a))(a a))) 3. ==[ beta ]==> ((a ((^y.y) b))((a (a a))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (a a))(a a))) 5. ==[ beta ]==> ((a b)((a (a a))(a a))) REDUCED to normal form. ------ 142824/15105756. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a (a (^z.z)))) REDUCED to normal form. ------ 142825/15105783. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(b a))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b a)((a (^y.y))((^z.z) a))) 6. ==[ alpha ]==> ((b a)((a (^x.x))((^y.y) a))) 7. ==[ beta ]==> ((b a)((a (^x.x)) a)) REDUCED to normal form. ------ 142826/15105810. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 142827/15106053. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(a (a (a a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(a (a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(a (a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(a (a (a a)))) REDUCED to normal form. ------ 142828/15106224. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (b ((a a)(^x1.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 142829/15106332. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142830/15106449. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (a ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 142831/15106467. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((a (^x1.x1)) a)) 3. ==[ beta ]==> (((^y.(^z.z)) a)((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z)) a)) 5. ==[ beta ]==> ((^y.y)((a (^z.z)) a)) 6. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 7. ==[ beta ]==> ((a (^y.y)) a) 8. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 142832/15106494. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a a) b)) 3. ==[ beta ]==> ((^y.y)((a a) b)) 4. ==[ alpha ]==> ((^x.x)((a a) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 142833/15106548. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.z) b)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.z) b)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.z) b)) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.z) b)) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.y) b)) 7. ==[ beta ]==> ((b b)((^y.y) b)) 8. ==[ alpha ]==> ((b b)((^x.x) b)) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 142834/15106557. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 142835/15106584. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.z1)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142836/15106629. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.z) a)) 3. ==[ beta ]==> (b ((^z.z) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 142837/15106638. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 142838/15106655. ------ 1. ==[ start ]==> (^a.((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.((^y.(x x))((^z.z)(x x)))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 142839/15106656. ------ 1. ==[ start ]==> (a ((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (a ((^x.(a a))((^y.y)(a a)))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 142840/15108036. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((^y.(y (^z.z)))(^y.(y (^z.z))))(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((^x.(x (^y.y)))(^z.(z (^x1.x1))))(^y1.(y1 (^z1.z1)))) 5. ==[ beta ]==> (((^z.(z (^x1.x1)))(^y.y))(^y1.(y1 (^z1.z1)))) 6. ==[ alpha ]==> (((^x.(x (^y.y)))(^z.z))(^x1.(x1 (^y1.y1)))) 7. ==[ beta ]==> (((^z.z)(^y.y))(^x1.(x1 (^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 11. ==[ beta ]==> (^y.(y (^z.z))) 12. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 142841/15109143. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.((a a)(a a)))(^z.((a a)(a a))))) 4. ==[ alpha ]==> ((^x.x)((^y.((a a)(a a)))(^z.((a a)(a a))))) 5. ==[ beta ]==> ((^y.((a a)(a a)))(^z.((a a)(a a)))) 6. ==[ alpha ]==> ((^x.((a a)(a a)))(^y.((a a)(a a)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 142842/15111411. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^x1.(^y1.(^z1.(^x2.x2))))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 142843/15115569. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(^y1.(y1 y1)))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142844/15116157. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a))) c) 2. ==[ alpha ]==> (((a b)(^x.(^y.y))) c) REDUCED to normal form. ------ 142845/15116181. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 142846/15116208. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.b)((a a)(^z.z)))((^y.b)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.b)((a a)(^x1.x1)))) 5. ==[ beta ]==> (b ((^z.b)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.b)((a a)(^y.y)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 142847/15116235. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(b a))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 142848/15116316. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)((a a)(a a)))) 3. ==[ beta ]==> (((^z.a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.a)((a a)(a a)))(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 142849/15116505. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142850/15116787. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> (((^x.x)(^y.(y y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142851/15117000. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142852/15117558. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((((^y.y)(b (^z.z)))((^y.y)(b (^z.z))))((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> ((((^x.x)(b (^y.y)))((^z.z)(b (^x1.x1))))((^y1.y1)(b (^z1.z1)))) 5. ==[ beta ]==> (((b (^y.y))((^z.z)(b (^x1.x1))))((^y1.y1)(b (^z1.z1)))) 6. ==[ alpha ]==> (((b (^x.x))((^y.y)(b (^z.z))))((^x1.x1)(b (^y1.y1)))) 7. ==[ beta ]==> (((b (^x.x))(b (^z.z)))((^x1.x1)(b (^y1.y1)))) 8. ==[ alpha ]==> (((b (^x.x))(b (^y.y)))((^z.z)(b (^x1.x1)))) 9. ==[ beta ]==> (((b (^x.x))(b (^y.y)))(b (^x1.x1))) 10. ==[ alpha ]==> (((b (^x.x))(b (^y.y)))(b (^z.z))) REDUCED to normal form. ------ 142853/15117561. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 142854/15117891. ------ 1. ==[ start ]==> ((^a.(^a.b))(c ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.b))(c ((^z.z) b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 142855/15118665. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)((a a)(a a)))((^z.z)((a a)(a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)((a a)(a a)))((^z.z)((a a)(a a))))) 5. ==[ beta ]==> (((^y.y)((a a)(a a)))((^z.z)((a a)(a a)))) 6. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.y)((a a)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)((a a)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a)(a a)))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 142856/15118668. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))(^y.((a a)(a a)))) 4. ==[ alpha ]==> ((a (a a))(^x.((a a)(a a)))) REDUCED to normal form. ------ 142857/15119340. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b (^z.z))) 3. ==[ beta ]==> (((b (^z.z))(b (^z.z)))(^y.y)) 4. ==[ alpha ]==> (((b (^x.x))(b (^y.y)))(^z.z)) REDUCED to normal form. ------ 142858/15120018. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 142859/15120933. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^x1.x1)(^y1.(^z1.(^x2.x2))))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142860/15120936. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 142861/15120945. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(y1 (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142862/15122025. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 142863/15122529. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 142864/15123213. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 142865/15123609. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(a z))) 3. ==[ eta ]==> (((a (^x.x))((^y.y) b)) a) 4. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 142866/15123798. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.z))) REDUCED to normal form. ------ 142867/15123930. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 142868/15124320. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> ((b (^y.y))(^z.((z z) z))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 142869/15124743. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 142870/15124878. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 142871/15124986. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(a (a a)))) REDUCED to normal form. ------ 142872/15125091. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142873/15125094. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 142874/15125184. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 7. ==[ beta ]==> (^y.((^z.z) a)) 8. ==[ alpha ]==> (^x.((^y.y) a)) 9. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 142875/15125265. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^d.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> (b (^x1.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 142876/15125373. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.((^x2.x2) z1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^x2.x2)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.z1)) 5. ==[ beta ]==> ((^y.(^z.z))(^z1.z1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142877/15125589. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^c.(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(a a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(a a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(a a))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(a a))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(a a))) 7. ==[ beta ]==> ((b b)(^y.(a a))) 8. ==[ alpha ]==> ((b b)(^x.(a a))) REDUCED to normal form. ------ 142878/15125598. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 142879/15125670. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(z z))) 3. ==[ beta ]==> (b (^z.(z z))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 142880/15125679. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 142881/15125709. ------ 1. ==[ start ]==> ((a a)((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 142882/15125727. ------ 1. ==[ start ]==> (((^a.a) a)((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (a ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (a ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 142883/15125736. ------ 1. ==[ start ]==> ((a (a a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.b)((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 142884/15125763. ------ 1. ==[ start ]==> ((a b)((^c.a)(b a))) 2. ==[ alpha ]==> ((a b)((^x.a)(b a))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 142885/15125781. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 142886/15125808. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.y))) 3. ==[ beta ]==> (b ((a (a a))(^y.y))) 4. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 142887/15125817. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y) b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) b)((^y.y) b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) b)((^y.y) b))) 5. ==[ beta ]==> (((a a)(a a))(b ((^y.y) b))) 6. ==[ alpha ]==> (((a a)(a a))(b ((^x.x) b))) 7. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 142888/15125844. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)((a a)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 142889/15125916. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 142890/15125943. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b (^z.z)) b)) REDUCED to normal form. ------ 142891/15126006. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y y))) REDUCED to normal form. ------ 142892/15126033. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 142893/15126222. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 142894/15126249. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 142895/15126312. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((^y.(y y))(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((^x.(x x))(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a ((^y.(^z.z)) a))(a ((^y.(^z.z)) a))) 6. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(a ((^z.(^x1.x1)) a))) 7. ==[ beta ]==> ((a (^y.y))(a ((^z.(^x1.x1)) a))) 8. ==[ alpha ]==> ((a (^x.x))(a ((^y.(^z.z)) a))) 9. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 142896/15126339. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((b (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(a a))) 5. ==[ beta ]==> ((b (^y.y))(a a)) 6. ==[ alpha ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 142897/15126375. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a)) c)) 3. ==[ beta ]==> ((a b)((^y.(a a)) c)) 4. ==[ alpha ]==> ((a b)((^x.(a a)) c)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 142898/15126393. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) b)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) a))) 7. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 8. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 9. ==[ beta ]==> (b ((^y.y) a)) 10. ==[ alpha ]==> (b ((^x.x) a)) 11. ==[ beta ]==> (b a) REDUCED to normal form. ------ 142899/15126420. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 142900/15126447. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((b a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 142901/15126501. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(a b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(a b))) 5. ==[ beta ]==> (((a a)(a a))((a a)(a b))) REDUCED to normal form. ------ 142902/15126528. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 142903/15126663. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142904/15126690. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a a)(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 142905/15126753. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 142906/15126780. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (a (((^y.y) b)(^z.a))) 6. ==[ alpha ]==> (a (((^x.x) b)(^y.a))) 7. ==[ beta ]==> (a (b (^y.a))) 8. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 142907/15126807. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) REDUCED to normal form. ------ 142908/15126834. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 142909/15126861. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 142910/15126888. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 142911/15126915. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a b)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.(a a)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 7. ==[ beta ]==> ((a b)(^y.(a a))) 8. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 142912/15126978. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 142913/15127005. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^y.(^z.z))))) 8. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 142914/15127032. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 142915/15127059. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 142916/15127086. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)(b (^y.y)))) 3. ==[ beta ]==> ((a ((a a) a))(b (^y.y))) 4. ==[ alpha ]==> ((a ((a a) a))(b (^x.x))) REDUCED to normal form. ------ 142917/15127419. ------ 1. ==[ start ]==> ((a (^a.b))(c ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.b))(c ((^y.y) b))) 3. ==[ beta ]==> ((a (^x.b))(c b)) REDUCED to normal form. ------ 142918/15127608. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 142919/15127689. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)((^z.z)(a a)))) IRREDUCIBLE: cycle. ------ 142920/15127770. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (a (^y.(^z.z))))) 6. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 142921/15127797. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a b)((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> ((a b)((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> ((a b)((a (^x.x)) b)) REDUCED to normal form. ------ 142922/15127824. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 142923/15127860. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(a a))(^z.z))) REDUCED to normal form. ------ 142924/15127887. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 142925/15127914. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z)))(^x1.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 142926/15127941. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((b a)(^z.(z z)))) REDUCED to normal form. ------ 142927/15127968. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 142928/15128004. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 142929/15128031. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b)(a b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 142930/15128085. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 142931/15128112. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(b a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))(b a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(b a))) 7. ==[ beta ]==> (a ((^y.(y y))(b a))) 8. ==[ alpha ]==> (a ((^x.(x x))(b a))) 9. ==[ beta ]==> (a ((b a)(b a))) REDUCED to normal form. ------ 142932/15128139. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 142933/15128157. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y))(^z.z))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 142934/15128166. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 142935/15128193. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((a a)(a a)))) 5. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 142936/15128562. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 142937/15128580. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (b (((^z.z) b)(a a))) 4. ==[ alpha ]==> (b (((^x.x) b)(a a))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 142938/15128589. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 142939/15128868. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.y))) REDUCED to normal form. ------ 142940/15129048. ------ 1. ==[ start ]==> (((a b) c)((a b)(^c.a))) 2. ==[ alpha ]==> (((a b) c)((a b)(^x.a))) REDUCED to normal form. ------ 142941/15129075. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a) a)(^y.b))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(^y.b))) 4. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.b))) REDUCED to normal form. ------ 142942/15129102. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(a a))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(a a))) REDUCED to normal form. ------ 142943/15129183. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 142944/15129237. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b) a)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b) a)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142945/15129264. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 142946/15129291. ------ 1. ==[ start ]==> (((a b)(^b.a))((b a) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((b a) c)) REDUCED to normal form. ------ 142947/15129381. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 142948/15129435. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 142949/15129516. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 142950/15129543. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b) a)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 142951/15129714. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a)((a a) a))) 5. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 142952/15129795. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (b (a ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 142953/15129966. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 142954/15129993. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 142955/15130047. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.b)) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 142956/15130074. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 142957/15130101. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 142958/15130191. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a a)(b a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 142959/15130272. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 142960/15130299. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 142961/15130353. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 142962/15130380. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(a a)))) 7. ==[ beta ]==> (((a a) a)((^y.(a a))(^y.(a a)))) 8. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(a a)))) 9. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 142963/15130407. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 142964/15130461. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 142965/15130470. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 142966/15130551. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)(((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y) a))) 7. ==[ beta ]==> ((a a)((a a)((^y.y) a))) 8. ==[ alpha ]==> ((a a)((a a)((^x.x) a))) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 142967/15130632. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (b ((^y.y)((a a) a))) 6. ==[ alpha ]==> (b ((^x.x)((a a) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 142968/15130740. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a a)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142969/15130776. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((b a)(^x1.x1))) REDUCED to normal form. ------ 142970/15130857. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 142971/15130884. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 142972/15130938. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(^z.b))) REDUCED to normal form. ------ 142973/15130965. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(a a)))) REDUCED to normal form. ------ 142974/15130992. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 142975/15131046. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((b a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((b a) a)) REDUCED to normal form. ------ 142976/15131109. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 142977/15131136. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 142978/15131190. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 142979/15131217. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(^y.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.b)(^y.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(^y.b))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 142980/15131244. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 142981/15131343. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 142982/15131388. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 142983/15131415. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 142984/15131550. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (b ((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 142985/15131667. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 142986/15131694. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(^y.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 142987/15131721. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 142988/15131748. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^z1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.b))) REDUCED to normal form. ------ 142989/15131829. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a)(^z.z)) a)) 5. ==[ beta ]==> ((^y.(a a))(((a a)(^z.z)) a)) 6. ==[ alpha ]==> ((^x.(a a))(((a a)(^y.y)) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 142990/15131856. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a a) b)) REDUCED to normal form. ------ 142991/15131883. ------ 1. ==[ start ]==> (((a b)(^c.a))((a b) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((a b) c)) REDUCED to normal form. ------ 142992/15132054. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 142993/15132270. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(b (^y.(a a)))) REDUCED to normal form. ------ 142994/15132324. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a a)) REDUCED to normal form. ------ 142995/15132351. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((b (a a))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((b (a a))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((b (a a)) b) REDUCED to normal form. ------ 142996/15132738. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 142997/15132765. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 142998/15132774. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 142999/15132819. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((b a)(b a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((b a)(b a))((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((b a)(b a))((^y.y) a)) 8. ==[ alpha ]==> (((b a)(b a))((^x.x) a)) 9. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 143000/15132900. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y))((a a) a))) 3. ==[ beta ]==> (b ((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 143001/15132963. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b)(^x1.x1))) REDUCED to normal form. ------ 143002/15133017. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.a)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.a)) REDUCED to normal form. ------ 143003/15133044. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 143004/15133071. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 143005/15133107. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 143006/15133134. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z)(a b))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(a b))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(a b))) 5. ==[ beta ]==> (((a (^x.x)) b)(a b)) REDUCED to normal form. ------ 143007/15133161. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 143008/15133188. ------ 1. ==[ start ]==> (((a (a a))(b a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 143009/15133215. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 143010/15133242. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 143011/15133269. ------ 1. ==[ start ]==> (((a b)(a b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 143012/15133323. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.b)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 143013/15133458. ------ 1. ==[ start ]==> ((a (b (^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 143014/15133773. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a) a) d)) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y) a) d)) 3. ==[ beta ]==> ((b c)(((^y.y) a) d)) 4. ==[ alpha ]==> ((b c)(((^x.x) a) d)) 5. ==[ beta ]==> ((b c)(a d)) REDUCED to normal form. ------ 143015/15133845. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(a ((a a) a))) 3. ==[ beta ]==> ((b (^y.y))(a ((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))(a ((a a) a))) REDUCED to normal form. ------ 143016/15133872. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143017/15133908. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z)) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z)) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) c)) 5. ==[ beta ]==> ((a (^x.x))(c c)) REDUCED to normal form. ------ 143018/15133926. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1) a)((^z1.z1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a ((^z1.z1) a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a ((^y1.y1) a))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 143019/15134016. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 143020/15134043. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 143021/15134124. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 143022/15134151. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((b (^y.a))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((b (^x.a))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((b (^x.a))((^z.z) a)) 6. ==[ alpha ]==> ((b (^x.a))((^y.y) a)) 7. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 143023/15134178. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 143024/15134241. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 143025/15134268. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 143026/15134349. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(c (^z.a))) 3. ==[ beta ]==> (((^y.y)(b a))(c (^z.a))) 4. ==[ alpha ]==> (((^x.x)(b a))(c (^y.a))) 5. ==[ beta ]==> ((b a)(c (^y.a))) 6. ==[ alpha ]==> ((b a)(c (^x.a))) REDUCED to normal form. ------ 143027/15134376. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 143028/15134403. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 143029/15134430. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a)(a b))((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(a a))) 5. ==[ beta ]==> (((a a)(a b))((a a)(a a))) REDUCED to normal form. ------ 143030/15134457. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a)) a) REDUCED to normal form. ------ 143031/15134511. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(a (a a))) REDUCED to normal form. ------ 143032/15134538. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((b a)((^y.(y y))(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.(x x))(^y.y))) 7. ==[ beta ]==> ((b a)((^y.y)(^y.y))) 8. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((b a)(^y.y)) 10. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 143033/15134565. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x))) a) REDUCED to normal form. ------ 143034/15134619. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 143035/15134709. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((a a)((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 143036/15134790. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 143037/15134898. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a ((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143038/15135015. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 143039/15135060. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(b (a a))) 3. ==[ beta ]==> ((^y.y)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 143040/15135114. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a a)(a a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a a)(a a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a a)(a a))) 5. ==[ beta ]==> ((b ((^y.y) b))((a a)(a a))) 6. ==[ alpha ]==> ((b ((^x.x) b))((a a)(a a))) 7. ==[ beta ]==> ((b b)((a a)(a a))) REDUCED to normal form. ------ 143041/15135123. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^a.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) b)) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 143042/15135150. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((a a)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((a a)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143043/15135195. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 143044/15135204. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 143045/15135230. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(x x))(^z.(x x)))) 3. ==[ beta ]==> (^x.((x x)(^z.(x x)))) 4. ==[ alpha ]==> (^x.((x x)(^y.(x x)))) REDUCED to normal form. ------ 143046/15135231. ------ 1. ==[ start ]==> (a (((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (a (((^x.x)(a a))(^y.(a a)))) 3. ==[ beta ]==> (a ((a a)(^y.(a a)))) 4. ==[ alpha ]==> (a ((a a)(^x.(a a)))) REDUCED to normal form. ------ 143047/15139698. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 143048/15144732. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a))) d) 2. ==[ alpha ]==> (((a b)(^x.(^y.y))) d) REDUCED to normal form. ------ 143049/15144759. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a))) a) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a))) a) 3. ==[ beta ]==> (((a a)(^y.(a a))) a) 4. ==[ alpha ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 143050/15144765. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(a a))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 143051/15144774. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143052/15144792. ------ 1. ==[ start ]==> ((^a.(a a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(^y.(^z.z)))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 143053/15144855. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143054/15144966. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((a (^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 143055/15145260. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 143056/15146475. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 143057/15147042. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))((^y1.y1)(^z1.z1)))((^z.(^x1.x1))((^y1.y1)(^z1.z1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> (^x.((^z.z)((^z1.(^x2.x2))((^y2.y2)(^z2.z2))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143058/15147261. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((^y.(a a))(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((a a)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143059/15147621. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((y y)(y y)))) REDUCED to normal form. ------ 143060/15147963. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 143061/15148917. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 143062/15149229. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 143063/15149232. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 143064/15149529. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143065/15149826. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 143066/15150096. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(x1 a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143067/15150435. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 143068/15150609. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 143069/15151434. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((((a a) a)(^y.a))(((a a) a)(^y.a)))((((a a) a)(^y.a))(((a a) a)(^y.a)))) 4. ==[ alpha ]==> (((((a a) a)(^x.a))(((a a) a)(^y.a)))((((a a) a)(^z.a))(((a a) a)(^x1.a)))) REDUCED to normal form. ------ 143070/15151797. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 143071/15152193. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.b))) REDUCED to normal form. ------ 143072/15152904. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 143073/15153066. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 143074/15153957. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143075/15154092. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 7. ==[ beta ]==> (^y.(a (^z.z))) 8. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 143076/15154182. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^c.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(a a))) REDUCED to normal form. ------ 143077/15154254. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 143078/15154263. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 143079/15154290. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 143080/15154302. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(a a)))) 3. ==[ beta ]==> ((a a)((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((a a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 143081/15154311. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 143082/15154329. ------ 1. ==[ start ]==> ((a (a a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 143083/15154338. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 143084/15154392. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 143085/15154410. ------ 1. ==[ start ]==> (((a a)(a a))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 143086/15154446. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143087/15154473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(b (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143088/15154500. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 143089/15154635. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 143090/15154716. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (a ((^y.(a a))(^z.(a a)))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 143091/15154743. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 143092/15154797. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 143093/15154887. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b (b (^y.y)))) 3. ==[ beta ]==> ((a a)(b (b (^y.y)))) 4. ==[ alpha ]==> ((a a)(b (b (^x.x)))) REDUCED to normal form. ------ 143094/15154968. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a b)(((a a)(a a))(a (^y.y)))) 4. ==[ alpha ]==> ((a b)(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 143095/15154995. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) a)(b ((^y.y) a))) 4. ==[ alpha ]==> (((a (a a)) a)(b ((^x.x) a))) 5. ==[ beta ]==> (((a (a a)) a)(b a)) REDUCED to normal form. ------ 143096/15155022. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 143097/15155049. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((b a)(^z.z))) REDUCED to normal form. ------ 143098/15155076. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((a a) a))) REDUCED to normal form. ------ 143099/15155103. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a a)(a b))) REDUCED to normal form. ------ 143100/15155211. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((b b)((a (a a))(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((b b)((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 143101/15155256. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143102/15155391. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 143103/15155418. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143104/15155598. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 143105/15155625. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 143106/15155769. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(^x1.a))) 5. ==[ beta ]==> (a ((^z.z)(^x1.a))) 6. ==[ alpha ]==> (a ((^x.x)(^y.a))) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 143107/15155877. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143108/15156012. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 143109/15156138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1) c)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z) c)) 5. ==[ beta ]==> ((a (^y.y))((^z.z) c)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) c)) 7. ==[ beta ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 143110/15156183. ------ 1. ==[ start ]==> (((^a.b) a)((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)((b a)(a (a a)))) 3. ==[ beta ]==> (b ((b a)(a (a a)))) REDUCED to normal form. ------ 143111/15156345. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a))(b a))) REDUCED to normal form. ------ 143112/15156372. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a b) a)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a b) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 143113/15156390. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (^b.b))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (^y.y))) 3. ==[ beta ]==> ((a b)(c (^y.y))) 4. ==[ alpha ]==> ((a b)(c (^x.x))) REDUCED to normal form. ------ 143114/15156399. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.b))((a (^y.y)) b)) REDUCED to normal form. ------ 143115/15156417. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 143116/15156579. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 143117/15156597. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a a)(a b))((a a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a b))((a a)(^x.a))) REDUCED to normal form. ------ 143118/15156624. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a b)(^y.b))) REDUCED to normal form. ------ 143119/15156651. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 143120/15156732. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 143121/15156759. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 143122/15156795. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)((a a)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143123/15156822. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143124/15156876. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143125/15156957. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (b ((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 143126/15157038. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143127/15157092. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(^z1.(^x2.x2))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.(^z1.z1))))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.(^y1.y1))))) 11. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 12. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 13. ==[ beta ]==> a REDUCED to normal form. ------ 143128/15157101. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 143129/15157128. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b ((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b ((^z.z) b))) 5. ==[ beta ]==> ((^y.(y y))(b ((^z.z) b))) 6. ==[ alpha ]==> ((^x.(x x))(b ((^y.y) b))) 7. ==[ beta ]==> ((b ((^y.y) b))(b ((^y.y) b))) 8. ==[ alpha ]==> ((b ((^x.x) b))(b ((^y.y) b))) 9. ==[ beta ]==> ((b b)(b ((^y.y) b))) 10. ==[ alpha ]==> ((b b)(b ((^x.x) b))) 11. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 143130/15157155. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a ((a a)(a a)))) REDUCED to normal form. ------ 143131/15157182. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 143132/15157209. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 143133/15157398. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> (b ((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> (b ((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 143134/15157497. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(a (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 143135/15157632. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 143136/15157713. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 143137/15157740. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.(y y))((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 7. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 143138/15157794. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 143139/15157875. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 143140/15158163. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 143141/15158190. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 143142/15158451. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 143143/15158496. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((b a)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 143144/15158577. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 143145/15158658. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 143146/15158766. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 143147/15158784. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 143148/15158811. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((b a) b)) REDUCED to normal form. ------ 143149/15159045. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b (b a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143150/15159063. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143151/15159342. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(b a))) REDUCED to normal form. ------ 143152/15159360. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 143153/15159441. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a))((^z.z) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(a a))((^z.z) a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))((^y.y) a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 143154/15159522. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 143155/15159630. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.x1)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143156/15159675. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 143157/15159702. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(b a))((a a) c)) REDUCED to normal form. ------ 143158/15159936. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143159/15159972. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(a a)) c)) 3. ==[ beta ]==> ((a b)((^y.(a a)) c)) 4. ==[ alpha ]==> ((a b)((^x.(a a)) c)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 143160/15160143. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 143161/15160251. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.b)((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.b)((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143162/15160305. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 143163/15160332. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(y1 y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a a) a)) 6. ==[ alpha ]==> ((^x.(x x))((a a) a)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 143164/15160386. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 143165/15160467. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 143166/15160611. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(c (a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(c (a b))) 3. ==[ beta ]==> ((b (^y.y))(c (a b))) 4. ==[ alpha ]==> ((b (^x.x))(c (a b))) REDUCED to normal form. ------ 143167/15160701. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(a a)) b)) 3. ==[ beta ]==> ((a (b a))((^y.(a a)) b)) 4. ==[ alpha ]==> ((a (b a))((^x.(a a)) b)) 5. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 143168/15160728. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.b) c)) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) b) REDUCED to normal form. ------ 143169/15160917. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 143170/15160944. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((b (a a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b (a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 143171/15160971. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((a a) a)(^x.a))) REDUCED to normal form. ------ 143172/15161007. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143173/15161142. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 143174/15161250. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143175/15161286. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(c ((a a) a))) 3. ==[ beta ]==> ((b b)(c ((a a) a))) REDUCED to normal form. ------ 143176/15161313. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b (a b))) REDUCED to normal form. ------ 143177/15161331. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(a a))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 143178/15161367. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(a a))) REDUCED to normal form. ------ 143179/15161394. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((a a) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((a a) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a)(a (^x1.x1)))) REDUCED to normal form. ------ 143180/15161475. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 143181/15161493. ------ 1. ==[ start ]==> (((^a.b)(a b))(c (^c.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 143182/15161502. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 143183/15161727. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.b))) REDUCED to normal form. ------ 143184/15161754. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a b) a)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a b) a)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a b) a)) REDUCED to normal form. ------ 143185/15161781. ------ 1. ==[ start ]==> (((a (a a))(b a))(((a a) a) b)) REDUCED to normal form. ------ 143186/15161997. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 143187/15162222. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (b ((^z.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 143188/15162330. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143189/15162366. ------ 1. ==[ start ]==> ((((^a.a) b) c)(d ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(d ((^y.y) a))) 3. ==[ beta ]==> ((b c)(d ((^y.y) a))) 4. ==[ alpha ]==> ((b c)(d ((^x.x) a))) 5. ==[ beta ]==> ((b c)(d a)) REDUCED to normal form. ------ 143190/15162393. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(c (a (a a)))) REDUCED to normal form. ------ 143191/15162438. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> ((b (^x.x))(^z.a)) 6. ==[ alpha ]==> ((b (^x.x))(^y.a)) REDUCED to normal form. ------ 143192/15162501. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 143193/15162528. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a ((^y1.y1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a ((^x1.x1) a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 143194/15162600. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(a (^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 143195/15162708. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143196/15162888. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a b)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a b)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 143197/15162915. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(b b)) REDUCED to normal form. ------ 143198/15162942. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.a) c)) 3. ==[ beta ]==> (((^y.y)(b a))((^z.a) c)) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.a) c)) 5. ==[ beta ]==> ((b a)((^y.a) c)) 6. ==[ alpha ]==> ((b a)((^x.a) c)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 143199/15163023. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (a a))(^y.y))) 3. ==[ beta ]==> (((a a)(a b))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a a)(a b))((a (a a))(^x.x))) REDUCED to normal form. ------ 143200/15163050. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 143201/15163104. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 143202/15163131. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a (a a)) a)) 3. ==[ beta ]==> ((b ((^y.y) a))((a (a a)) a)) 4. ==[ alpha ]==> ((b ((^x.x) a))((a (a a)) a)) 5. ==[ beta ]==> ((b a)((a (a a)) a)) REDUCED to normal form. ------ 143203/15163158. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(a b)) REDUCED to normal form. ------ 143204/15163302. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.a))) 5. ==[ beta ]==> ((^y.y)(b (^z.a))) 6. ==[ alpha ]==> ((^x.x)(b (^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 143205/15163383. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 143206/15163491. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143207/15163608. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(b b)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(b b)) 3. ==[ beta ]==> (((^y.y) a)(b b)) 4. ==[ alpha ]==> (((^x.x) a)(b b)) 5. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 143208/15163626. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((^y.y)(a (^z.z))) 8. ==[ alpha ]==> ((^x.x)(a (^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 143209/15163653. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143210/15163707. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(b (^z.z))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(b (^z.z))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(b (^z.z))) 5. ==[ beta ]==> ((b ((^y.y) b))(b (^z.z))) 6. ==[ alpha ]==> ((b ((^x.x) b))(b (^y.y))) 7. ==[ beta ]==> ((b b)(b (^y.y))) 8. ==[ alpha ]==> ((b b)(b (^x.x))) REDUCED to normal form. ------ 143211/15163716. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((a a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(a a))) REDUCED to normal form. ------ 143212/15163743. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(b a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(b a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143213/15163788. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 143214/15163797. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 143215/15163824. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(a a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(a a)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(a a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 143216/15173361. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a))) b) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a))) b) 3. ==[ beta ]==> (((a a)(^y.(a a))) b) 4. ==[ alpha ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 143217/15173385. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143218/15173466. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143219/15173586. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 143220/15173628. ------ 1. ==[ start ]==> ((^a.(^b.a))((b (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((b (^z.z)) b)) 3. ==[ beta ]==> (^y.((b (^z.z)) b)) 4. ==[ alpha ]==> (^x.((b (^y.y)) b)) REDUCED to normal form. ------ 143221/15173970. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (b (^y.y)))) 3. ==[ beta ]==> ((b (b (^y.y)))((b (b (^y.y)))(b (b (^y.y))))) 4. ==[ alpha ]==> ((b (b (^x.x)))((b (b (^y.y)))(b (b (^z.z))))) REDUCED to normal form. ------ 143222/15174321. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143223/15175161. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(b (^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(b (^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(b (^y.y)))) REDUCED to normal form. ------ 143224/15175266. ------ 1. ==[ start ]==> ((^a.(a b))((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))((b a)(a (a a)))) 3. ==[ beta ]==> (((b a)(a (a a))) b) REDUCED to normal form. ------ 143225/15175653. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((((a a)(^z.z))(^x1.(^y1.y1)))(((a a)(^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((((a a)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2))))) REDUCED to normal form. ------ 143226/15175872. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143227/15176232. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 143228/15176535. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a (^z.z))(a (^x1.(^y1.y1))))((a (^z.z))(a (^x1.(^y1.y1)))))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(a (^y1.(^z1.z1)))))(^x2.x2)) REDUCED to normal form. ------ 143229/15176907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143230/15177240. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((^z.z) b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 143231/15177291. ------ 1. ==[ start ]==> ((^a.(b a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((b a)(a (^y.y)))) 3. ==[ eta ]==> (b ((b a)(a (^y.y)))) 4. ==[ alpha ]==> (b ((b a)(a (^x.x)))) REDUCED to normal form. ------ 143232/15177840. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 143233/15178128. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b (b a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b (b a))) 3. ==[ beta ]==> ((b (b a))(^y.(^z.z))) 4. ==[ alpha ]==> ((b (b a))(^x.(^y.y))) REDUCED to normal form. ------ 143234/15178446. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.(^z1.(^x2.x2))))) REDUCED to normal form. ------ 143235/15178716. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(x1 a))) REDUCED to normal form. ------ 143236/15178731. ------ 1. ==[ start ]==> ((^a.(^b.b))((b a) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((b a) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143237/15179046. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 143238/15179499. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.((a a)(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143239/15179751. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.((x1 x1)(^y1.y1)))) REDUCED to normal form. ------ 143240/15180633. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) REDUCED to normal form. ------ 143241/15181125. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 143242/15181686. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 143243/15181821. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.a))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 143244/15181965. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a b)(^x.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 143245/15182073. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(a (a a)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(a (a a)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(a (a a)))) REDUCED to normal form. ------ 143246/15182286. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(b ((^x1.x1) a))) 3. ==[ eta ]==> ((^y.(^z.z))(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143247/15182568. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.z1)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.z1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143248/15182820. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143249/15182865. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 143250/15182874. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 143251/15182901. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 143252/15182931. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.x))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 143253/15182940. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> (a ((^y.(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (a ((^x.(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 143254/15182958. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 143255/15182967. ------ 1. ==[ start ]==> (((a a) a)((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.b)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 143256/15183012. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 143257/15183021. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 143258/15183048. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) b))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) b)) 7. ==[ beta ]==> (((^y.y) b)((^y.y) b)) 8. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 9. ==[ beta ]==> (b ((^y.y) b)) 10. ==[ alpha ]==> (b ((^x.x) b)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 143259/15183075. ------ 1. ==[ start ]==> (((a a) b)((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)((a a)(a a)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 143260/15183102. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 143261/15183129. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 143262/15183147. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a) a)) 5. ==[ beta ]==> (((^y.(^z.z)) a) a) 6. ==[ alpha ]==> (((^x.(^y.y)) a) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 143263/15183174. ------ 1. ==[ start ]==> ((a (^b.a))((b (^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.a))((b (^y.y)) b)) REDUCED to normal form. ------ 143264/15183210. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143265/15183345. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 143266/15183372. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 143267/15183516. ------ 1. ==[ start ]==> ((a (a (a a)))(b (b (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(b (b (^x.x)))) REDUCED to normal form. ------ 143268/15183759. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a b)((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a b)(a a))) REDUCED to normal form. ------ 143269/15183786. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 143270/15183813. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(b a))) 6. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(b a))) 7. ==[ beta ]==> ((a (a (^x.x)))(b a)) REDUCED to normal form. ------ 143271/15183840. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 143272/15183867. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.x))(a ((^z.z) b))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) b))) 7. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 143273/15183957. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b (^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((b (^y1.y1))(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 7. ==[ beta ]==> ((b (^y.y))(^z.z)) 8. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 143274/15184011. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(^x1.a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 7. ==[ beta ]==> (((^y.y) b)(^z.a)) 8. ==[ alpha ]==> (((^x.x) b)(^y.a)) 9. ==[ beta ]==> (b (^y.a)) 10. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 143275/15184020. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 143276/15184038. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 143277/15184047. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 143278/15184128. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a b))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 7. ==[ beta ]==> ((^y.(a a))(a b)) 8. ==[ alpha ]==> ((^x.(a a))(a b)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143279/15184335. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b (^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((b (^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 5. ==[ beta ]==> ((b (^y.y)) a) 6. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 143280/15184389. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) b) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) b) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) b) c)) 5. ==[ beta ]==> (a (((^z.z) b) c)) 6. ==[ alpha ]==> (a (((^x.x) b) c)) 7. ==[ beta ]==> (a (b c)) REDUCED to normal form. ------ 143281/15184425. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 143282/15184506. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 143283/15184533. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 143284/15184560. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 143285/15184614. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 143286/15184677. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b ((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b ((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((a a)(a a)))) REDUCED to normal form. ------ 143287/15184704. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(a (b (^y.y)))) 3. ==[ beta ]==> ((a (a (a a)))(a (b (^y.y)))) 4. ==[ alpha ]==> ((a (a (a a)))(a (b (^x.x)))) REDUCED to normal form. ------ 143288/15184731. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((a (a a)) a)(((a a)(a a))(a a))) REDUCED to normal form. ------ 143289/15184758. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(b (a (^z.z)))) 8. ==[ alpha ]==> ((a (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 143290/15184785. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 143291/15184812. ------ 1. ==[ start ]==> ((a (a b))((b a)(a (a a)))) REDUCED to normal form. ------ 143292/15185019. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (^y.y))) REDUCED to normal form. ------ 143293/15185091. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 143294/15185127. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a (^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 143295/15185154. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 143296/15185172. ------ 1. ==[ start ]==> (((^a.b)(a a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((b a)(^y.(y y)))) 3. ==[ beta ]==> (b ((b a)(^y.(y y)))) 4. ==[ alpha ]==> (b ((b a)(^x.(x x)))) REDUCED to normal form. ------ 143297/15185199. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 143298/15185370. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 143299/15185415. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.(a a))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(^y.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143300/15185442. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 143301/15185496. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1))) c)) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1))) c)) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) c)) 7. ==[ beta ]==> ((a (^y.(^z.z))) c) 8. ==[ alpha ]==> ((a (^x.(^y.y))) c) REDUCED to normal form. ------ 143302/15185586. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 143303/15185613. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b)(^z.b))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.b))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.b))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 143304/15185640. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 143305/15185667. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 143306/15185721. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 143307/15185748. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y.(^z.z))(^x1.x1))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143308/15185775. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 143309/15185793. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (b ((^z.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 143310/15185865. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))((b a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a a))((b a)((^x.x) a))) 5. ==[ beta ]==> (((a a)(a a))((b a) a)) REDUCED to normal form. ------ 143311/15185892. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 143312/15185919. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a))((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a ((a a) a))((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a ((a a) a))((a a)(^y.y))) 8. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 143313/15185946. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a b)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a b)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a b)((a a) a))) REDUCED to normal form. ------ 143314/15185973. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)(a b))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(a b))) REDUCED to normal form. ------ 143315/15186000. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> ((((a a) a) a)((^y.y)(a a))) 8. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a a))) 9. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 143316/15186027. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 143317/15186054. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(b a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(b a))) 5. ==[ beta ]==> (((a a)(a a))(a (b a))) REDUCED to normal form. ------ 143318/15186081. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 143319/15186252. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 143320/15186261. ------ 1. ==[ start ]==> (((a b) c)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 143321/15186288. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.b)((a a) a))) 3. ==[ beta ]==> (((a a) b)((^y.b)((a a) a))) 4. ==[ alpha ]==> (((a a) b)((^x.b)((a a) a))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 143322/15186333. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(a a))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 143323/15186369. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 143324/15186396. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(b a))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(b a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(b a))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 143325/15186414. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 143326/15186450. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143327/15186477. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 143328/15186495. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 143329/15186504. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 143330/15186756. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a b) a)(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a b) a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 143331/15186783. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a ((^z.z) b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a ((^y.y) b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 143332/15186810. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 143333/15186837. ------ 1. ==[ start ]==> ((a (b a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 143334/15187071. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 143335/15187116. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((b a)((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((b a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 143336/15187143. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 143337/15187179. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 143338/15187197. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a b)(a b))((a a)(^y.(y y)))) 6. ==[ alpha ]==> (((a b)(a b))((a a)(^x.(x x)))) REDUCED to normal form. ------ 143339/15187206. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 143340/15187260. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 143341/15187278. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (b ((^y.y)(^z.b))) 6. ==[ alpha ]==> (b ((^x.x)(^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 143342/15187287. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 143343/15187314. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(^x.a))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> (((a a)(^x.a))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> (((a a)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 143344/15187341. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 143345/15187386. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 143346/15187674. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b (b a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (b a))) REDUCED to normal form. ------ 143347/15187764. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) c)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 143348/15187989. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 143349/15188007. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((b a)(^z.z))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 143350/15188061. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(^z.a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.a))) 9. ==[ beta ]==> (((a a)(a a))((a a)(^y.a))) 10. ==[ alpha ]==> (((a a)(a a))((a a)(^x.a))) REDUCED to normal form. ------ 143351/15188070. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 143352/15188097. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)((^z.b)(a (a a)))) 6. ==[ alpha ]==> ((^x.b)((^y.b)(a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 143353/15188142. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 143354/15188151. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 143355/15188178. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(a b))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a b)(a b))) REDUCED to normal form. ------ 143356/15188205. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 143357/15188259. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(b a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(b a)) REDUCED to normal form. ------ 143358/15188277. ------ 1. ==[ start ]==> ((a (^b.b))((b a) a)) 2. ==[ alpha ]==> ((a (^x.x))((b a) a)) REDUCED to normal form. ------ 143359/15188511. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(b ((a a)(^y.y)))) REDUCED to normal form. ------ 143360/15188565. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 143361/15188592. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a b)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((a b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 143362/15188601. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143363/15188871. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a b)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143364/15188880. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 143365/15188907. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(a (a a)))) 3. ==[ beta ]==> ((b a)((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((b a)((^x.a)(a (a a)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 143366/15188925. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (b (^y.(^z.z))) 10. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 143367/15188934. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 143368/15188961. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a a) a)((a a) a))) REDUCED to normal form. ------ 143369/15189006. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 143370/15189042. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143371/15189069. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 143372/15189087. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (b (((^y.y)(a a)) b)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 143373/15189096. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 143374/15189123. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 143375/15189231. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.b))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 143376/15189267. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) b)(b ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) b)(b ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) b)(b (a a))) REDUCED to normal form. ------ 143377/15189294. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a ((a a)(^x1.x1)))) REDUCED to normal form. ------ 143378/15189321. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((a (b a))(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(a a))(a a))) 5. ==[ beta ]==> ((a (b a))((a a)(a a))) REDUCED to normal form. ------ 143379/15189348. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 143380/15189375. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))(((a a) a)((^z.z) a))) 6. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)((^y.y) a))) 7. ==[ beta ]==> ((a a)(((a a) a)((^y.y) a))) 8. ==[ alpha ]==> ((a a)(((a a) a)((^x.x) a))) 9. ==[ beta ]==> ((a a)(((a a) a) a)) REDUCED to normal form. ------ 143381/15189402. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(a b))(a (a a))) REDUCED to normal form. ------ 143382/15189429. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)((a a) a))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a b)((a a) a))((a (a a))(^x.x))) REDUCED to normal form. ------ 143383/15189456. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((a a) a))) 7. ==[ beta ]==> (((a a)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 143384/15189483. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a (^y.y))(a b))) REDUCED to normal form. ------ 143385/15189627. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 7. ==[ beta ]==> ((^y.y)(^z.(z z))) 8. ==[ alpha ]==> ((^x.x)(^y.(y y))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 143386/15189762. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (b (((^z.z)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 143387/15189906. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)(^z.a))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 143388/15189933. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 143389/15189978. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143390/15190032. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a) c)) 3. ==[ beta ]==> (((b a)(b a))((^y.a) c)) 4. ==[ alpha ]==> (((b a)(b a))((^x.a) c)) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 143391/15190122. ------ 1. ==[ start ]==> (((a b)(^a.b))(c (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(c (^y.a))) REDUCED to normal form. ------ 143392/15190176. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.(a a)))) REDUCED to normal form. ------ 143393/15190221. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143394/15190230. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 143395/15190257. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 143396/15190284. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 143397/15190536. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b ((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b ((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b ((a a) a))) REDUCED to normal form. ------ 143398/15190590. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((a a) a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((a a) a)(a a))) REDUCED to normal form. ------ 143399/15190617. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x)))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((b (a (^x.x)))(a (^z.z))) 8. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 143400/15190644. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (a a))((^x.x) a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((a (a a)) a)) REDUCED to normal form. ------ 143401/15190671. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a (b (^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 143402/15190761. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((a a) a)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((a a) a)(^x2.x2))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x2.x2))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143403/15190842. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 143404/15190950. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1)(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143405/15190986. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((b c)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((b c)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((b c)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((b c)((^x.a)(^y.a))) 7. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 143406/15191013. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 143407/15191229. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 143408/15191256. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 143409/15191328. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143410/15191337. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 143411/15191364. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> ((b (^x.a))(^z.z)) 8. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 143412/15191391. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 143413/15191454. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(c ((^y.y) a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(c a)) REDUCED to normal form. ------ 143414/15191481. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(b (a (a a)))) REDUCED to normal form. ------ 143415/15191508. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a b)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a b)(a (^y.y))) 8. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 143416/15191535. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (a a))(a a))) REDUCED to normal form. ------ 143417/15191562. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((b a)(((^y.y) a)(a (^z.z)))) 6. ==[ alpha ]==> ((b a)(((^x.x) a)(a (^y.y)))) 7. ==[ beta ]==> ((b a)(a (a (^y.y)))) 8. ==[ alpha ]==> ((b a)(a (a (^x.x)))) REDUCED to normal form. ------ 143418/15191589. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 143419/15191616. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 143420/15191832. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(b ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))(b ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 143421/15191922. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 7. ==[ beta ]==> ((^y.(^z.z)) c) 8. ==[ alpha ]==> ((^x.(^y.y)) c) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143422/15192003. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 143423/15192111. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143424/15192228. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a a))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 143425/15192246. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 143426/15192273. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 5. ==[ beta ]==> ((a (^y.y)) a) 6. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 143427/15192327. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.(^z.z)) a)) 7. ==[ beta ]==> ((b b)((^y.(^z.z)) a)) 8. ==[ alpha ]==> ((b b)((^x.(^y.y)) a)) 9. ==[ beta ]==> ((b b)(^y.y)) 10. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 143428/15192336. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.y))) REDUCED to normal form. ------ 143429/15192363. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(a (^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(a (^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143430/15192408. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 143431/15192417. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 143432/15192444. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(a (^z.z))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 143433/15201990. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a))) c) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a))) c) 3. ==[ beta ]==> (((a a)(^y.(a a))) c) 4. ==[ alpha ]==> (((a a)(^x.(a a))) c) REDUCED to normal form. ------ 143434/15202041. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.(a a))((^z.z)(a a)))((^y.(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.(a a))((^y.y)(a a)))((^z.(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a a)((^z.(a a))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 143435/15202068. ------ 1. ==[ start ]==> ((^a.b)((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 143436/15202149. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> (((^z.(z z))((^x1.x1) b))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.z)) 5. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.z)) 6. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.z)) 7. ==[ beta ]==> ((b ((^y.y) b))(^z.z)) 8. ==[ alpha ]==> ((b ((^x.x) b))(^y.y)) 9. ==[ beta ]==> ((b b)(^y.y)) 10. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 143437/15202338. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(^x1.(x1 x1)))) 3. ==[ eta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 143438/15202647. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.((^y1.(^z1.z1)) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.a))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143439/15202833. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143440/15203391. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((((^y.(^z.z))((a a)(a a)))((^y.(^z.z))((a a)(a a))))((^y.(^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))((a a)(a a))))((^y1.(^z1.z1))((a a)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))((a a)(a a))))((^y1.(^z1.z1))((a a)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((a a)(a a))))((^x1.(^y1.y1))((a a)(a a)))) 7. ==[ beta ]==> (((^y.(^z.z))((a a)(a a)))((^x1.(^y1.y1))((a a)(a a)))) 8. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))((a a)(a a)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 11. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 12. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143441/15204498. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))((^y1.y1) b))((^z.(^x1.x1))((^y1.y1) b)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1) b))((^y1.(^z1.z1))((^x2.x2) b)))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) b))((^y1.(^z1.z1))((^x2.x2) b))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))((^z1.z1) b))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) b))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143442/15204888. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.((z z)(z z)))) 3. ==[ beta ]==> (b (^z.((z z)(z z)))) 4. ==[ alpha ]==> (b (^x.((x x)(x x)))) REDUCED to normal form. ------ 143443/15205212. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 143444/15205545. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143445/15205878. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 143446/15206499. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 143447/15208137. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143448/15208389. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 143449/15208683. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.b)(a (^z.z)))((^y.b)(a (^z.z))))(((^y.b)(a (^z.z)))((^y.b)(a (^z.z))))) 4. ==[ alpha ]==> ((((^x.b)(a (^y.y)))((^z.b)(a (^x1.x1))))(((^y1.b)(a (^z1.z1)))((^x2.b)(a (^y2.y2))))) 5. ==[ beta ]==> ((b ((^z.b)(a (^x1.x1))))(((^y1.b)(a (^z1.z1)))((^x2.b)(a (^y2.y2))))) 6. ==[ alpha ]==> ((b ((^x.b)(a (^y.y))))(((^z.b)(a (^x1.x1)))((^y1.b)(a (^z1.z1))))) 7. ==[ beta ]==> ((b b)(((^z.b)(a (^x1.x1)))((^y1.b)(a (^z1.z1))))) 8. ==[ alpha ]==> ((b b)(((^x.b)(a (^y.y)))((^z.b)(a (^x1.x1))))) 9. ==[ beta ]==> ((b b)(b ((^z.b)(a (^x1.x1))))) 10. ==[ alpha ]==> ((b b)(b ((^x.b)(a (^y.y))))) 11. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 143450/15209073. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (^y.((^z.z)(y y))) 6. ==[ alpha ]==> (^x.((^y.y)(x x))) 7. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 143451/15209469. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x) a)(a (^y.(^z.z)))) a) 4. ==[ beta ]==> ((a (a (^y.(^z.z)))) a) 5. ==[ alpha ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 143452/15210180. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.((z z) z))) 3. ==[ beta ]==> ((^y.y)(^z.((z z) z))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 143453/15210315. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 143454/15210459. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 143455/15210603. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 143456/15210738. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 143457/15210846. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(a (a a)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(a (a a)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(a (a a)))) 5. ==[ beta ]==> ((b a)(^y.(a (a a)))) 6. ==[ alpha ]==> ((b a)(^x.(a (a a)))) REDUCED to normal form. ------ 143458/15210924. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(^y1.y1))(^z1.a))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143459/15211368. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^a.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.c)) 3. ==[ beta ]==> ((^y.y)(^x1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 143460/15211422. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(y (^z.z)))) 7. ==[ beta ]==> ((b b)(^y.(y (^z.z)))) 8. ==[ alpha ]==> ((b b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 143461/15211458. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.z1)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.z1)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143462/15211503. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 143463/15211512. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 143464/15211539. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.a)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 143465/15211587. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> (a (((^y.y)(a a))(^z.(a a)))) 4. ==[ alpha ]==> (a (((^x.x)(a a))(^y.(a a)))) 5. ==[ beta ]==> (a ((a a)(^y.(a a)))) 6. ==[ alpha ]==> (a ((a a)(^x.(a a)))) REDUCED to normal form. ------ 143466/15211596. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 143467/15211614. ------ 1. ==[ start ]==> (((a a) a)((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 143468/15211623. ------ 1. ==[ start ]==> ((a b)((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.b)((a a)(^y.y)))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 143469/15211668. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 143470/15211677. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 143471/15211695. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 143472/15211704. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> ((a (a (^x.x)))(((^z.z) b)((^z.z) b))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b)((^z.z) b))) 5. ==[ beta ]==> ((a (a (^x.x)))(b ((^z.z) b))) 6. ==[ alpha ]==> ((a (a (^x.x)))(b ((^y.y) b))) 7. ==[ beta ]==> ((a (a (^x.x)))(b b)) REDUCED to normal form. ------ 143473/15211722. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> (((a a) b)(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a) b)(a (^x.(a a)))) REDUCED to normal form. ------ 143474/15211803. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 143475/15211857. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(a a)) c)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) c)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) c)) 5. ==[ beta ]==> (((a a)(a a)) c) REDUCED to normal form. ------ 143476/15211893. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 143477/15212082. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 143478/15212109. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 143479/15212136. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 143480/15212172. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (b (^z.z)))) 3. ==[ beta ]==> ((^y.(y y))(b (b (^z.z)))) 4. ==[ alpha ]==> ((^x.(x x))(b (b (^y.y)))) 5. ==[ beta ]==> ((b (b (^y.y)))(b (b (^y.y)))) 6. ==[ alpha ]==> ((b (b (^x.x)))(b (b (^y.y)))) REDUCED to normal form. ------ 143481/15212199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a ((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 143482/15212253. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(((a a)(a a))(a (^z.z)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a (^y.y)))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 143483/15212280. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y) b)((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(b ((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))(b ((^x.x) a))) 7. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 143484/15212307. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 143485/15212361. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 143486/15212388. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 143487/15212523. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143488/15212550. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 143489/15212613. ------ 1. ==[ start ]==> (((a (a a)) b)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((b (^x.x))(^y.y))) REDUCED to normal form. ------ 143490/15212640. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (a (((a a)(a a))(^y.(^z.z)))) 6. ==[ alpha ]==> (a (((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 143491/15212667. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 143492/15212694. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) REDUCED to normal form. ------ 143493/15212721. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 143494/15212775. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.b))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 9. ==[ beta ]==> ((a a)(^y.b)) 10. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 143495/15212811. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 143496/15212865. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(b a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 143497/15212892. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 143498/15212919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((a a)((^y.a)((^z.z) b))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y) b))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 143499/15212946. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 143500/15213297. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 143501/15213468. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((b a)(a (a a)))) 3. ==[ beta ]==> ((^y.b)((b a)(a (a a)))) 4. ==[ alpha ]==> ((^x.b)((b a)(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 143502/15213549. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b)(a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(a b))) IRREDUCIBLE: cycle. ------ 143503/15213630. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))(b a))) 3. ==[ beta ]==> (b ((a (a a))(b a))) REDUCED to normal form. ------ 143504/15213657. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a b)(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a b)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 143505/15213684. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 143506/15213747. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 143507/15213774. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z) b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) b)(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 143508/15213801. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.a))) REDUCED to normal form. ------ 143509/15213828. ------ 1. ==[ start ]==> (((a b)(^a.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((b a)(^y.(y y)))) REDUCED to normal form. ------ 143510/15213864. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 143511/15213891. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 143512/15213918. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b)(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(a b))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(a b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(a b))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 143513/15213972. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.(^z.z))((a a)(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))((a a)(^z.z)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 143514/15213999. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y))(b a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((b a)(b a))) REDUCED to normal form. ------ 143515/15214017. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 143516/15214026. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 143517/15214053. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 143518/15214440. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a ((a a)(a a)))) 3. ==[ beta ]==> (b (a ((a a)(a a)))) REDUCED to normal form. ------ 143519/15214449. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 143520/15214476. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.z) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y) b)) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 143521/15214764. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) b))) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 143522/15214908. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) c)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 143523/15214935. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a b)(^y.a))) 3. ==[ beta ]==> (((a a) b)((a b)(^y.a))) 4. ==[ alpha ]==> (((a a) b)((a b)(^x.a))) REDUCED to normal form. ------ 143524/15214962. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a) a)(^y.b))) REDUCED to normal form. ------ 143525/15215016. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 143526/15215097. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143527/15215124. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) b) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(b a)) REDUCED to normal form. ------ 143528/15215151. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 143529/15215178. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((b a) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((b a) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a) c)) REDUCED to normal form. ------ 143530/15215241. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 143531/15215268. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 143532/15215295. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (a b))((^y.a)(^z.b))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(^y.b))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 143533/15215322. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 143534/15215403. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 143535/15215430. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 143536/15215574. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((a b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((a b)((^x.x)(^y.y)))) 7. ==[ beta ]==> (b ((a b)(^y.y))) 8. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 143537/15215655. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (b ((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 143538/15215826. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 143539/15215853. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(^y.(y y)))) REDUCED to normal form. ------ 143540/15215907. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 143541/15215934. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(^z.b)) 6. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 143542/15215961. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 143543/15216051. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(b a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 143544/15216078. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 143545/15216132. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 143546/15216159. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 143547/15216186. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 143548/15216213. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 143549/15216240. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.b))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 143550/15216267. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 143551/15216330. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (b a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (b a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (b a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143552/15216411. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)(((a a)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 143553/15216492. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (((a a) a)(^y.y))) 6. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 143554/15216600. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143555/15216627. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(b a))) REDUCED to normal form. ------ 143556/15216717. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 143557/15216744. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)((a b)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.b)((a b)(^y.(y y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 143558/15216798. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 143559/15216825. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (a a))(^z.b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(^y.b))) REDUCED to normal form. ------ 143560/15216852. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.(a a)))) REDUCED to normal form. ------ 143561/15216969. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 143562/15216996. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 143563/15217023. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 143564/15217050. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 143565/15217077. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 143566/15217104. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.b))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.b)(^z.b))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(^z.b))) 7. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 143567/15217131. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 143568/15217248. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 143569/15217275. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a b)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 143570/15217410. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 143571/15217527. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a b)(^z.a))) REDUCED to normal form. ------ 143572/15217554. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((b a)(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> ((b a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 143573/15217581. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 143574/15217689. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))((a a)(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143575/15217716. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 143576/15217743. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a b)(^x.a))((a a) b)) REDUCED to normal form. ------ 143577/15217770. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 143578/15217914. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 143579/15218211. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(a a))(a a))) 3. ==[ beta ]==> ((b (a a))((^y.(a a))(a a))) 4. ==[ alpha ]==> ((b (a a))((^x.(a a))(a a))) 5. ==[ beta ]==> ((b (a a))(a a)) REDUCED to normal form. ------ 143580/15218238. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a)(a a))) b) REDUCED to normal form. ------ 143581/15218598. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b (a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(b (a b))) 3. ==[ beta ]==> (((a a)(a a))(b (a b))) REDUCED to normal form. ------ 143582/15218625. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 143583/15218634. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 143584/15218661. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.b) b)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.b) b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b) b)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 143585/15218679. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (((b a)(b a))(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (((b a)(b a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 143586/15218760. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 143587/15218877. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((a a) a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 143588/15218904. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(^x1.a))) 7. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.a)) 8. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 143589/15218931. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 143590/15218967. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 143591/15218994. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 143592/15219021. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.x1)(a b))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.x1)(a b))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(a b))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a b)) REDUCED to normal form. ------ 143593/15219048. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a (a a))(b a)) b) REDUCED to normal form. ------ 143594/15219102. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 143595/15219129. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 143596/15219156. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 143597/15219633. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (a a)) c)) 3. ==[ beta ]==> ((b c)((a (a a)) c)) REDUCED to normal form. ------ 143598/15219705. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (^x.x))(b (^z.z))) 6. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 143599/15219732. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(a ((a a) a))) 3. ==[ beta ]==> ((^y.y)(a ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 143600/15219768. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 143601/15219786. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (a a))(a (^y1.y1)))) REDUCED to normal form. ------ 143602/15219867. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 143603/15219903. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.b))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.b))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 143604/15219984. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^x1.x1))(^y1.(y1 y1)))) REDUCED to normal form. ------ 143605/15220011. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 143606/15220038. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 143607/15220101. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(b (^x.x))) a) REDUCED to normal form. ------ 143608/15220128. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 143609/15220155. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 143610/15220263. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(b (^y.(y y)))) 3. ==[ beta ]==> (((a b)(a a))(b (^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a a))(b (^x.(x x)))) REDUCED to normal form. ------ 143611/15220290. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 143612/15220317. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))((a a)(a a))) REDUCED to normal form. ------ 143613/15220371. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 143614/15220398. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((b a)((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((b a)((^x.x)(a (a a)))) 7. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 143615/15220425. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 143616/15220479. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 143617/15220569. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 143618/15220650. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(c b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 143619/15220758. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b (a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143620/15220875. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.z))) 5. ==[ beta ]==> (a ((a (^y.y))(^z.z))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 143621/15220893. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(b b)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(b b)) 3. ==[ beta ]==> (((^y.(^z.z)) a)(b b)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(b b)) 5. ==[ beta ]==> ((^y.y)(b b)) 6. ==[ alpha ]==> ((^x.x)(b b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 143622/15220920. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(a c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(a c)) 3. ==[ beta ]==> ((^y.y)(a c)) 4. ==[ alpha ]==> ((^x.x)(a c)) 5. ==[ beta ]==> (a c) REDUCED to normal form. ------ 143623/15220974. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(a (a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(a (a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(a (a (^z.z)))) 5. ==[ beta ]==> ((b ((^y.y) b))(a (a (^z.z)))) 6. ==[ alpha ]==> ((b ((^x.x) b))(a (a (^y.y)))) 7. ==[ beta ]==> ((b b)(a (a (^y.y)))) 8. ==[ alpha ]==> ((b b)(a (a (^x.x)))) REDUCED to normal form. ------ 143624/15220983. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 143625/15221010. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.z1) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) b)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) b)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143626/15221055. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 143627/15221064. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 143628/15221091. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.z) a)) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 143629/15221117. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (^x.(((x x)(^y.y))(^z.b))) REDUCED to normal form. ------ 143630/15221118. ------ 1. ==[ start ]==> (a (((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (a (((a a)(^x.x))(^y.b))) REDUCED to normal form. ------ 143631/15226476. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(z a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143632/15230673. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b)) a) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b)) a) REDUCED to normal form. ------ 143633/15230679. ------ 1. ==[ start ]==> ((^a.a)(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 143634/15230706. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.(a a)))(((^y.y)(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(((^z.z)(a a))(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^y.(a a)))(((^z.z)(a a))(^x1.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a))(^z.(a a)))) 7. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(^z.(a a)))) 8. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 143635/15230733. ------ 1. ==[ start ]==> ((^a.b)((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 143636/15230814. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))(^b.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a))(^z.z))) 3. ==[ beta ]==> (((a (a a))(^z.z))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 143637/15230907. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (^y.((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143638/15232095. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 143639/15232389. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 143640/15232833. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 143641/15233163. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(^x1.x1))((a (^z.z))(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(^z.z))((a (^x1.x1))(^y1.y1)))) 5. ==[ beta ]==> (((a (^y.y))(^z.z))((a (^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 143642/15233202. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 5. ==[ beta ]==> (^y.((a a)(a a))) 6. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 143643/15233553. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 143644/15233562. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((z z)(z z)))) REDUCED to normal form. ------ 143645/15234594. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.(^x1.x1))) b)) 3. ==[ eta ]==> (b ((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 143646/15234876. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.z))) 3. ==[ beta ]==> ((b a)(^y.(^z.z))) 4. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 143647/15235143. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(b a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 143648/15235164. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 143649/15235767. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 143650/15236034. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143651/15236037. ------ 1. ==[ start ]==> ((a (^b.b))(^b.(b a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(y a))) REDUCED to normal form. ------ 143652/15236316. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z))) b) b) 4. ==[ beta ]==> ((^y.(^z.z)) b) 5. ==[ alpha ]==> ((^x.(^y.y)) b) 6. ==[ beta ]==> (^y.y) 7. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143653/15236349. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 143654/15237348. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a b)(^y.(^z.z)))((a b)(^y.(^z.z))))(((a b)(^y.(^z.z)))((a b)(^y.(^z.z))))) 4. ==[ alpha ]==> ((((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1))))(((a b)(^y1.(^z1.z1)))((a b)(^x2.(^y2.y2))))) REDUCED to normal form. ------ 143655/15237522. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 143656/15237738. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 143657/15237747. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 143658/15237936. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a b))) REDUCED to normal form. ------ 143659/15238521. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(^z1.b))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(^z1.b))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(^y2.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(^y2.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143660/15238845. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 143661/15238989. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 143662/15239511. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.(z z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(z z)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 143663/15240033. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 5. ==[ beta ]==> (^y.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 143664/15240087. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b b)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((b b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 143665/15240096. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 143666/15240168. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 143667/15240177. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 143668/15240204. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(z z))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 143669/15240231. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 143670/15240243. ------ 1. ==[ start ]==> ((a a)(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.b))) REDUCED to normal form. ------ 143671/15240270. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.(a a)))) 3. ==[ beta ]==> ((a (a a))((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 143672/15240279. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143673/15240297. ------ 1. ==[ start ]==> ((a b)((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 143674/15240306. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.b)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.b)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 143675/15240351. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 143676/15240378. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (a a))(^b.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 143677/15240387. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143678/15240414. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(a a)))) 5. ==[ beta ]==> ((^y.a)((a a)(a a))) 6. ==[ alpha ]==> ((^x.a)((a a)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 143679/15240441. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(b (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 143680/15240468. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143681/15240513. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b (^y.y)) b)) REDUCED to normal form. ------ 143682/15240576. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.a)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 143683/15240603. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143684/15240684. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(a a))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143685/15240909. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((b (^y.y))(a a))) 3. ==[ beta ]==> ((a b)((b (^y.y))(a a))) 4. ==[ alpha ]==> ((a b)((b (^x.x))(a a))) REDUCED to normal form. ------ 143686/15240936. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 143687/15240963. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b ((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(b a)) REDUCED to normal form. ------ 143688/15240990. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.(^x1.x1)))(a (a a)))) REDUCED to normal form. ------ 143689/15241017. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((b a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 143690/15241044. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 143691/15241152. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(b a))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(b a))) 5. ==[ beta ]==> ((b b)((^y.y)(b a))) 6. ==[ alpha ]==> ((b b)((^x.x)(b a))) 7. ==[ beta ]==> ((b b)(b a)) REDUCED to normal form. ------ 143692/15241359. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 143693/15241485. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(a a)))) REDUCED to normal form. ------ 143694/15241566. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 143695/15241593. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(^z.z))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.y))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 143696/15241656. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(b (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(b (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b (^z.z)))) 5. ==[ beta ]==> ((^y.y)(b (^z.z))) 6. ==[ alpha ]==> ((^x.x)(b (^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 143697/15241710. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 143698/15241872. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.(a a)))) 7. ==[ beta ]==> ((a a)((^y.b)(^z.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.b)(^y.(a a)))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 143699/15241953. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.b))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 143700/15242106. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.b) c)) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x) c)) 3. ==[ beta ]==> ((((a a) a)(a a)) c) REDUCED to normal form. ------ 143701/15242124. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 143702/15242286. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((((a a) a) b)((a a)(^y.y))) 6. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.x))) REDUCED to normal form. ------ 143703/15242313. ------ 1. ==[ start ]==> (((a b) a)((a (a a))(b a))) REDUCED to normal form. ------ 143704/15242340. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.b))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 143705/15242394. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 143706/15242493. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 143707/15242538. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 143708/15242592. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a b)(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b)(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(^z.b))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.b))) REDUCED to normal form. ------ 143709/15242619. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 143710/15242700. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(a a))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b)(a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 143711/15242727. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 143712/15242736. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143713/15242763. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)(a a))) 6. ==[ alpha ]==> ((^x.x)((a a)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 143714/15242817. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143715/15242898. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 143716/15242952. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 143717/15242979. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 143718/15243096. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b ((^y.y) b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(b b)) REDUCED to normal form. ------ 143719/15243114. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 143720/15243123. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((a a)(a a)))) REDUCED to normal form. ------ 143721/15243150. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) b)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(b (a a))) REDUCED to normal form. ------ 143722/15243339. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 143723/15243438. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 143724/15243573. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 143725/15243681. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143726/15243735. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)(b a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)(b a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(b a))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 143727/15243816. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 143728/15244131. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 143729/15244158. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 143730/15244392. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(b a))) REDUCED to normal form. ------ 143731/15244437. ------ 1. ==[ start ]==> (((^a.a)(b a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)(b a))(a (^y.y))) 3. ==[ beta ]==> ((b a)(a (^y.y))) 4. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 143732/15244464. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143733/15244518. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 143734/15244599. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> (b ((^y.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 143735/15244707. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 143736/15244725. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(b a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 143737/15244752. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 143738/15244779. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((b a) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((b a) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((b a) b)) 5. ==[ beta ]==> ((a (a a))((b a) b)) REDUCED to normal form. ------ 143739/15244806. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(a b))(((a a)(^x.x)) c)) REDUCED to normal form. ------ 143740/15245283. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 143741/15245310. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(b a))) REDUCED to normal form. ------ 143742/15245328. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 143743/15245463. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 143744/15245571. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143745/15245598. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)(b a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(b a))) 3. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 143746/15245616. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((b a) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((b a) a)) REDUCED to normal form. ------ 143747/15245643. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 143748/15245877. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a (b a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143749/15245913. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 143750/15246084. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (^z.(a a)))) 3. ==[ beta ]==> (b (c (^z.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 143751/15246192. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(a a))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(a a))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143752/15246246. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(a (a a)))) 5. ==[ beta ]==> (b ((^y.a)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 143753/15246273. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143754/15246327. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a)(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a)(a b))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 143755/15246408. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 143756/15246516. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143757/15246642. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 143758/15246669. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(a a)) b)) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 143759/15246696. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.b) c)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.b) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b) c)) 5. ==[ beta ]==> (((^y.y)(a a))((^z.b) c)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.b) c)) 7. ==[ beta ]==> ((a a)((^y.b) c)) 8. ==[ alpha ]==> ((a a)((^x.b) c)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 143760/15246723. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^c.a) d)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a) d)) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 143761/15246885. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((b (a a))(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> ((b (a a))(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> ((b (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((b (a a))((a a)(^x.x))) REDUCED to normal form. ------ 143762/15246912. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 143763/15246948. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 143764/15247083. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 143765/15247191. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143766/15247272. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 143767/15247299. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 143768/15247308. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 143769/15247335. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a b)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a b)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b)(a a))) REDUCED to normal form. ------ 143770/15247416. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 143771/15247443. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.b))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(^x.b))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 143772/15247497. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(a b))) REDUCED to normal form. ------ 143773/15247542. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.b)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143774/15247641. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 143775/15247668. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.a))) REDUCED to normal form. ------ 143776/15247695. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a a)(^x1.b))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a a)(^x1.b))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.b))) REDUCED to normal form. ------ 143777/15247722. ------ 1. ==[ start ]==> (((a (a a))(b a))((a b) a)) REDUCED to normal form. ------ 143778/15247749. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a) b)) 5. ==[ beta ]==> (((a a)(^y.y))(((a a) a) b)) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a) a) b)) REDUCED to normal form. ------ 143779/15247911. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.b) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.b) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b) a)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 143780/15247938. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a) b)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a) b)) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 143781/15247965. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y)) c)) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 143782/15248082. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a (^y1.b))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a (^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(a (^x2.b))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x2.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143783/15248163. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 143784/15248379. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 143785/15248442. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 143786/15248469. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (a a))(a (^x1.x1)))) REDUCED to normal form. ------ 143787/15248541. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 143788/15248550. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 143789/15248649. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143790/15248775. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(((^y.y) a) c)) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a c)) REDUCED to normal form. ------ 143791/15248856. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 143792/15248883. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(z z)) b)) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(z z)) b)) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y)) b)) 5. ==[ beta ]==> ((b a)((^y.(y y)) b)) 6. ==[ alpha ]==> ((b a)((^x.(x x)) b)) 7. ==[ beta ]==> ((b a)(b b)) REDUCED to normal form. ------ 143793/15248910. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.a) c)) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x))) a) REDUCED to normal form. ------ 143794/15248991. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (a a))(^y.y))) REDUCED to normal form. ------ 143795/15249045. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 143796/15249072. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((b ((^y.y) a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a a)(^y.(y y)))) 5. ==[ beta ]==> ((b a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((b a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 143797/15249099. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 143798/15249243. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(c (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 7. ==[ beta ]==> (c (^y.(^z.z))) 8. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 143799/15249324. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (b ((^x1.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 143800/15249432. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143801/15249567. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))(a a)) 8. ==[ alpha ]==> ((^x.(^y.y))(a a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143802/15249594. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 143803/15249648. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b b)((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((b b)((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> ((b b)(^y.(^z.z))) 10. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 143804/15249657. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 143805/15249684. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((a a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((a a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143806/15249729. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (b ((^z.z)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 143807/15249738. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(a b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 143808/15249765. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(a (a a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(a (a a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 143809/15249792. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(a a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 143810/15255159. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(^d.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143811/15259356. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b)) b) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b)) b) REDUCED to normal form. ------ 143812/15259380. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143813/15259608. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 143814/15259623. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1)) a) a)) 4. ==[ alpha ]==> (^x.(((^y.(^z.z)) a) a)) 5. ==[ beta ]==> (^x.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 143815/15260316. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (a a))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143816/15260787. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 143817/15261183. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(b (^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(b (^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 143818/15261261. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))((^x1.x1) a)) b) 4. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a)) b) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 143819/15261648. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((b a)(^z.(z z)))) 3. ==[ beta ]==> (^y.(((b a)(^z.(z z)))((b a)(^z.(z z))))) 4. ==[ alpha ]==> (^x.(((b a)(^y.(y y)))((b a)(^z.(z z))))) REDUCED to normal form. ------ 143820/15261894. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 143821/15262254. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 143822/15262530. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((((^z.z) a)(b a))(((^z.z) a)(b a)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)(b a))(((^y.y) a)(b a)))(^z.z)) 5. ==[ beta ]==> (((a (b a))(((^y.y) a)(b a)))(^z.z)) 6. ==[ alpha ]==> (((a (b a))(((^x.x) a)(b a)))(^y.y)) 7. ==[ beta ]==> (((a (b a))(a (b a)))(^y.y)) 8. ==[ alpha ]==> (((a (b a))(a (b a)))(^x.x)) REDUCED to normal form. ------ 143823/15262929. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 143824/15263262. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.((^z.z) b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^y.b)) REDUCED to normal form. ------ 143825/15263286. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.(^z.z)))(a a))) 3. ==[ eta ]==> (b ((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 143826/15264729. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(^d.a))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 143827/15265017. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(b z))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 143828/15265041. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 143829/15265521. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 143830/15265773. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((a (b a))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((a (b a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 143831/15266214. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 143832/15266439. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 143833/15267042. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(x1 b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(x1 b))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(z b))) REDUCED to normal form. ------ 143834/15267120. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 143835/15267708. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 143836/15267843. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 143837/15267987. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 143838/15268095. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(a (a a)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(a (a a)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(a (a a)))) REDUCED to normal form. ------ 143839/15268680. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.y))) 5. ==[ beta ]==> (a (^y.(^z.y))) 6. ==[ alpha ]==> (a (^x.(^y.x))) REDUCED to normal form. ------ 143840/15268725. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 143841/15268779. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^c.b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.b)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.b)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.b)) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.b)) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.b)) 7. ==[ beta ]==> ((b b)(^y.b)) 8. ==[ alpha ]==> ((b b)(^x.b)) REDUCED to normal form. ------ 143842/15268788. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 143843/15268860. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 143844/15268869. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 143845/15268896. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 143846/15268923. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 143847/15268953. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.b))) REDUCED to normal form. ------ 143848/15268980. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(a a))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 143849/15268989. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 143850/15269007. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 143851/15269016. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 143852/15269043. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a)(b a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)(b a))) 3. ==[ beta ]==> (b ((^y.a)(b a))) 4. ==[ alpha ]==> (b ((^x.a)(b a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 143853/15269070. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143854/15269088. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143855/15269097. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))((^y.y) b))) 3. ==[ beta ]==> (((a a) b)(((^y.y) b)((^y.y) b))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) b)((^y.y) b))) 5. ==[ beta ]==> (((a a) b)(b ((^y.y) b))) 6. ==[ alpha ]==> (((a a) b)(b ((^x.x) b))) 7. ==[ beta ]==> (((a a) b)(b b)) REDUCED to normal form. ------ 143856/15269124. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 143857/15269151. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 143858/15269178. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 143859/15269196. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((a (^x.a))(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> ((a (^x.a))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 143860/15269313. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 143861/15269367. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 143862/15269394. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 143863/15269421. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 143864/15269529. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 143865/15269781. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(a b))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(a b))) REDUCED to normal form. ------ 143866/15269808. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a b)(a a))) REDUCED to normal form. ------ 143867/15269835. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 143868/15269862. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))(b a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)(b a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(b a))) 5. ==[ beta ]==> (((a (a a))(a a))(b a)) REDUCED to normal form. ------ 143869/15269889. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 143870/15270033. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 143871/15270042. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 143872/15270060. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((^y.y) b)(^z.a)) 6. ==[ alpha ]==> (((^x.x) b)(^y.a)) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 143873/15270069. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 143874/15270096. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 143875/15270114. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 143876/15270411. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(a a)) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(a a)) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(a a)) b)) 5. ==[ beta ]==> (a (((a a)(a a)) b)) REDUCED to normal form. ------ 143877/15270447. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 143878/15270474. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 143879/15270528. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 143880/15270555. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 143881/15270582. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 143882/15270726. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(b ((a a)(a a)))) REDUCED to normal form. ------ 143883/15270753. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(a (b (^y.y)))) 3. ==[ beta ]==> (((a (a a)) a)(a (b (^y.y)))) 4. ==[ alpha ]==> (((a (a a)) a)(a (b (^x.x)))) REDUCED to normal form. ------ 143884/15270780. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(a a))(a a))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(a a))(a a))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(a a))) REDUCED to normal form. ------ 143885/15270807. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a))(b (a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(b (a (^x.x)))) REDUCED to normal form. ------ 143886/15270834. ------ 1. ==[ start ]==> ((a (a b))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> ((a (a b))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 143887/15271095. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 143888/15271149. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(a a))) 5. ==[ beta ]==> ((^y.a)((^z.(a a))(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.(a a))(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 143889/15271176. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 143890/15271194. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 143891/15271203. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 143892/15271221. ------ 1. ==[ start ]==> ((a (^b.(a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((b a)(^y.(y y)))) REDUCED to normal form. ------ 143893/15271392. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))(b a))) 3. ==[ beta ]==> (b ((^y.(y y))(b a))) 4. ==[ alpha ]==> (b ((^x.(x x))(b a))) 5. ==[ beta ]==> (b ((b a)(b a))) REDUCED to normal form. ------ 143894/15271437. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143895/15271464. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 143896/15271518. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) b) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) b)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) b) b)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 7. ==[ beta ]==> (((^y.y) b) b) 8. ==[ alpha ]==> (((^x.x) b) b) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 143897/15271608. ------ 1. ==[ start ]==> (((a b) b)((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 143898/15271635. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 143899/15271662. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 143900/15271689. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 143901/15271770. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (((^y.a)(^z.(^x1.(^y1.y1))))((^y.a)(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> (((^x.a)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.(^y2.y2))))) 9. ==[ beta ]==> (a ((^y1.a)(^z1.(^x2.(^y2.y2))))) 10. ==[ alpha ]==> (a ((^x.a)(^y.(^z.(^x1.x1))))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143902/15271797. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 143903/15271824. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(a a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 143904/15271887. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 143905/15271914. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((b a) a)) REDUCED to normal form. ------ 143906/15271941. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))(((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 143907/15271968. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a (a a))(^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 143908/15271995. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)((a a) a))) 5. ==[ beta ]==> ((a (a a))((a b)((a a) a))) REDUCED to normal form. ------ 143909/15272022. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a) a)(a b))) 3. ==[ beta ]==> ((((a a) a) a)(((a a) a)(a b))) REDUCED to normal form. ------ 143910/15272049. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(a a))) 6. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(a a))) 7. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 143911/15272076. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 143912/15272103. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (b a))) REDUCED to normal form. ------ 143913/15272274. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 143914/15272283. ------ 1. ==[ start ]==> (((a b) c)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 143915/15272310. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 143916/15272337. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 143917/15272355. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a)(^z.b))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.b))) REDUCED to normal form. ------ 143918/15272382. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 7. ==[ beta ]==> ((^y.y)(^z.(a a))) 8. ==[ alpha ]==> ((^x.x)(^y.(a a))) 9. ==[ beta ]==> (^y.(a a)) 10. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 143919/15272391. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 143920/15272418. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.b))(((a a)(^z.z))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 143921/15272472. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143922/15272499. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y) b)) 5. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 143923/15272517. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z) b) a)) 3. ==[ beta ]==> (b (((^z.z) b) a)) 4. ==[ alpha ]==> (b (((^x.x) b) a)) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 143924/15272526. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 143925/15272553. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 143926/15272778. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (b a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c (b a))) 3. ==[ beta ]==> (((a b) a)(c (b a))) REDUCED to normal form. ------ 143927/15272805. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 143928/15272832. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a ((^y.y) b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a b)) REDUCED to normal form. ------ 143929/15272859. ------ 1. ==[ start ]==> ((a (b a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (b a))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 143930/15273093. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (^d.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (^y.a))) REDUCED to normal form. ------ 143931/15273165. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 143932/15273219. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a b))(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 143933/15273228. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 143934/15273282. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 143935/15273300. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a) a)(^y.a))) 3. ==[ beta ]==> (b (((a a) a)(^y.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 143936/15273309. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 143937/15273336. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 143938/15273363. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^y1.y1)(a a))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 143939/15273687. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143940/15274083. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 143941/15274092. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 143942/15274119. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.b)((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.b)((^y.(a a))((^z.z) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 143943/15274164. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 143944/15274173. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 143945/15274200. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 143946/15274227. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a b)(a b))) REDUCED to normal form. ------ 143947/15274281. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 143948/15274587. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(a (b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a (b a))) REDUCED to normal form. ------ 143949/15274614. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 143950/15274623. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143951/15274650. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^z1.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143952/15274893. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1)(a a))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(a a))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143953/15274902. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 143954/15274929. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((b a)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((b a)((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 143955/15274947. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (b (((a a) a)(^y.(y y)))) 6. ==[ alpha ]==> (b (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 143956/15274956. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 143957/15274974. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 143958/15274983. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 143959/15275028. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^x1.b))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 143960/15275064. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 143961/15275091. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 143962/15275109. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((a a)(^y.y)) a)) 3. ==[ beta ]==> (b (((a a)(^y.y)) a)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 143963/15275118. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 143964/15275145. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 143965/15275172. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 143966/15275226. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 143967/15275253. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((b (^x.x))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 143968/15275289. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c (a b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c (a b))) 3. ==[ beta ]==> (((a a) b)(c (a b))) REDUCED to normal form. ------ 143969/15275316. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(b (a a))) REDUCED to normal form. ------ 143970/15275343. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(a ((a a)(^y.y)))) 3. ==[ beta ]==> ((a (b a))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (b a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 143971/15275370. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 143972/15275397. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))((a b)(a (^z.z)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a b)(a (^y.y)))) 7. ==[ beta ]==> ((a a)((a b)(a (^y.y)))) 8. ==[ alpha ]==> ((a a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 143973/15275424. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)(a b))(((a a) a) a)) REDUCED to normal form. ------ 143974/15275451. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a b)((a a) a))(a (a a))) REDUCED to normal form. ------ 143975/15275478. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))((a (a a))(^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 143976/15275505. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a ((a a) a))) REDUCED to normal form. ------ 143977/15275559. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a)(a a))) REDUCED to normal form. ------ 143978/15275649. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 143979/15275784. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.(a a)))) 3. ==[ beta ]==> (b ((a a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 143980/15275928. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((b b)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 143981/15275955. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 143982/15276009. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 143983/15276054. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.b) b)) 3. ==[ beta ]==> (((b a)(b a))((^y.b) b)) 4. ==[ alpha ]==> (((b a)(b a))((^x.b) b)) 5. ==[ beta ]==> (((b a)(b a)) b) REDUCED to normal form. ------ 143984/15276198. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.b))) REDUCED to normal form. ------ 143985/15276243. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a b)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143986/15276252. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.b)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) b) REDUCED to normal form. ------ 143987/15276279. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 143988/15276306. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 143989/15276612. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a (a b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a b))) REDUCED to normal form. ------ 143990/15276639. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((a a) a)(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))(((a a) a)(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 143991/15276666. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((((a a)(a a))(a a))(a (^y.y))) 6. ==[ alpha ]==> ((((a a)(a a))(a a))(a (^x.x))) REDUCED to normal form. ------ 143992/15276693. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a (b (^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 143993/15276864. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> (b ((a (a a))(^z.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 143994/15276972. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((a a) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 143995/15277008. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b c)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b c)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 143996/15277035. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((((a a)(a a)) b)((^y.a)(^y.a))) 4. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 143997/15277161. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 143998/15277251. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 143999/15277278. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(a (^z.a))) 3. ==[ beta ]==> (((a a)(^y.b))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.a))) REDUCED to normal form. ------ 144000/15277350. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144001/15277359. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 144002/15277386. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 144003/15277413. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 144004/15277530. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(b (a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) b))(b (a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(b (a (a a)))) 5. ==[ beta ]==> ((a b)(b (a (a a)))) REDUCED to normal form. ------ 144005/15277557. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 144006/15277584. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (a a))(a a))) 3. ==[ beta ]==> (((^y.y)(b a))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(b a))((a (a a))(a a))) 5. ==[ beta ]==> ((b a)((a (a a))(a a))) REDUCED to normal form. ------ 144007/15277611. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 144008/15277638. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a a))((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a a))((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a b)(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 144009/15277665. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a b))((a a)(a (a a)))) REDUCED to normal form. ------ 144010/15277944. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a) b)) 5. ==[ beta ]==> ((^y.y)((^z.a) b)) 6. ==[ alpha ]==> ((^x.x)((^y.a) b)) 7. ==[ beta ]==> ((^y.a) b) 8. ==[ alpha ]==> ((^x.a) b) 9. ==[ beta ]==> a REDUCED to normal form. ------ 144011/15278025. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 144012/15278133. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144013/15278250. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(a (^b.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(a (^z.a))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.a))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.a))) 5. ==[ beta ]==> (a (a (^y.a))) 6. ==[ alpha ]==> (a (a (^x.a))) REDUCED to normal form. ------ 144014/15278268. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 7. ==[ beta ]==> ((a (^y.y))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 144015/15278295. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 144016/15278349. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a a) b)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a a) b)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a a) b)) 5. ==[ beta ]==> ((b ((^y.y) b))((a a) b)) 6. ==[ alpha ]==> ((b ((^x.x) b))((a a) b)) 7. ==[ beta ]==> ((b b)((a a) b)) REDUCED to normal form. ------ 144017/15278358. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 144018/15278385. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(b (^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(b (^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144019/15278430. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> (b ((a a)(^z.z))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 144020/15278439. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 144021/15278466. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 144022/15278493. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(a (^z.z))) REDUCED to normal form. ------ 144023/15288066. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b)) c) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b)) c) REDUCED to normal form. ------ 144024/15288144. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 144025/15288225. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^z.(^x1.x1))(a (^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((^y.y)(^y1.y1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144026/15288684. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.a)(^z.(a a)))(((^y.a)(^z.(a a)))((^y.a)(^z.(a a))))) 4. ==[ alpha ]==> (((^x.a)(^y.(a a)))(((^z.a)(^x1.(a a)))((^y1.a)(^z1.(a a))))) 5. ==[ beta ]==> (a (((^z.a)(^x1.(a a)))((^y1.a)(^z1.(a a))))) 6. ==[ alpha ]==> (a (((^x.a)(^y.(a a)))((^z.a)(^x1.(a a))))) 7. ==[ beta ]==> (a (a ((^z.a)(^x1.(a a))))) 8. ==[ alpha ]==> (a (a ((^x.a)(^y.(a a))))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 144027/15288909. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144028/15289467. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((((^y.a)((^z.z) b))((^y.a)((^z.z) b)))((^y.a)((^z.z) b))) 4. ==[ alpha ]==> ((((^x.a)((^y.y) b))((^z.a)((^x1.x1) b)))((^y1.a)((^z1.z1) b))) 5. ==[ beta ]==> ((a ((^z.a)((^x1.x1) b)))((^y1.a)((^z1.z1) b))) 6. ==[ alpha ]==> ((a ((^x.a)((^y.y) b)))((^z.a)((^x1.x1) b))) 7. ==[ beta ]==> ((a a)((^z.a)((^x1.x1) b))) 8. ==[ alpha ]==> ((a a)((^x.a)((^y.y) b))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 144029/15290574. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(((^z.a)(a (^x1.(^y1.y1))))((^z.a)(a (^x1.(^y1.y1)))))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)(a (^z.(^x1.x1))))((^y1.a)(a (^z1.(^x2.x2)))))) 5. ==[ beta ]==> (((^y.a)(a (^z.(^x1.x1))))((^y1.a)(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.a)(a (^y.(^z.z))))((^x1.a)(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> (a ((^x1.a)(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> (a ((^x.a)(a (^y.(^z.z))))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 144030/15291981. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 144031/15292287. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((b a)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 144032/15292602. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 144033/15292842. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^x1.a)(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (a (^x1.(^y1.y1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 144034/15293178. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(b a))) 3. ==[ beta ]==> ((^y.y)(^z.(b a))) 4. ==[ alpha ]==> ((^x.x)(^y.(b a))) 5. ==[ beta ]==> (^y.(b a)) 6. ==[ alpha ]==> (^x.(b a)) REDUCED to normal form. ------ 144035/15293466. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.(b a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(z a))) REDUCED to normal form. ------ 144036/15294240. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 144037/15294492. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 144038/15294735. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 144039/15294759. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(a a))(a a))) 3. ==[ beta ]==> ((((^y.(a a))(a a))((^y.(a a))(a a)))(((^y.(a a))(a a))((^y.(a a))(a a)))) 4. ==[ alpha ]==> ((((^x.(a a))(a a))((^y.(a a))(a a)))(((^z.(a a))(a a))((^x1.(a a))(a a)))) 5. ==[ beta ]==> (((a a)((^y.(a a))(a a)))(((^z.(a a))(a a))((^x1.(a a))(a a)))) 6. ==[ alpha ]==> (((a a)((^x.(a a))(a a)))(((^y.(a a))(a a))((^z.(a a))(a a)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.(a a))(a a))((^z.(a a))(a a)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.(a a))(a a))((^y.(a a))(a a)))) 9. ==[ beta ]==> (((a a)(a a))((a a)((^y.(a a))(a a)))) 10. ==[ alpha ]==> (((a a)(a a))((a a)((^x.(a a))(a a)))) 11. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 144040/15295572. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(a x))) 3. ==[ eta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 144041/15295761. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.z))) REDUCED to normal form. ------ 144042/15296706. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 144043/15296841. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 144044/15296949. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 144045/15297000. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144046/15297399. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^b.c)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.c)) 3. ==[ beta ]==> (((^y.y) a)(^z.c)) 4. ==[ alpha ]==> (((^x.x) a)(^y.c)) 5. ==[ beta ]==> (a (^y.c)) 6. ==[ alpha ]==> (a (^x.c)) REDUCED to normal form. ------ 144047/15297507. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^c.b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.b)) REDUCED to normal form. ------ 144048/15297588. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 144049/15297615. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^c.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.a)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 144050/15297642. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^b.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.a)) REDUCED to normal form. ------ 144051/15297690. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.b))) 3. ==[ beta ]==> (a (((a a)(^y.y))(^z.b))) 4. ==[ alpha ]==> (a (((a a)(^x.x))(^y.b))) REDUCED to normal form. ------ 144052/15297717. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.(a a)))) 3. ==[ beta ]==> (((a a) a)((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 144053/15297726. ------ 1. ==[ start ]==> ((a b)((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 144054/15297744. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 144055/15297798. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 144056/15297807. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 144057/15297825. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(^b.b))) 2. ==[ alpha ]==> (((a a) b)((a (a a))(^x.x))) REDUCED to normal form. ------ 144058/15297960. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((b (^z.z)) b)) 3. ==[ beta ]==> ((^y.y)((b (^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) b)) 5. ==[ beta ]==> ((b (^y.y)) b) 6. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 144059/15298212. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 144060/15298239. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 144061/15298266. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 144062/15298302. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (b (^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 144063/15298356. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((b (^z.z))(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((b (^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b (^z.z))(a a))) 5. ==[ beta ]==> ((^y.y)((b (^z.z))(a a))) 6. ==[ alpha ]==> ((^x.x)((b (^y.y))(a a))) 7. ==[ beta ]==> ((b (^y.y))(a a)) 8. ==[ alpha ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 144064/15298383. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a (a a))(((a a)(a a))(a (^y.y)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 144065/15298410. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 144066/15298464. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((b a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((b a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))((b a)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))((b a)(^x.x))) REDUCED to normal form. ------ 144067/15298491. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((a a) a))) REDUCED to normal form. ------ 144068/15298626. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144069/15298653. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 144070/15298707. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(b (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a a)(b (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 7. ==[ beta ]==> ((a a)(b (^y.y))) 8. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 144071/15298743. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((b (^y.y))(^z.z))) 5. ==[ beta ]==> (a ((b (^y.y))(^z.z))) 6. ==[ alpha ]==> (a ((b (^x.x))(^y.y))) REDUCED to normal form. ------ 144072/15298770. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 144073/15298797. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.a))) REDUCED to normal form. ------ 144074/15298824. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 144075/15298851. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 144076/15298914. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a b))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 144077/15298941. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 144078/15298995. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 144079/15299022. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^y.(^z.z))))) 8. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 144080/15299049. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)((^y.y) b))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 144081/15299175. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) b) c)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) b) c)) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) b) c)) 5. ==[ beta ]==> (b (((^y.y) b) c)) 6. ==[ alpha ]==> (b (((^x.x) b) c)) 7. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 144082/15299400. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 144083/15299427. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 144084/15299553. ------ 1. ==[ start ]==> (((^a.b) a)((^b.b) c)) 2. ==[ alpha ]==> (((^x.b) a)((^y.y) c)) 3. ==[ beta ]==> (b ((^y.y) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 144085/15299571. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.b)((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 144086/15299652. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))((a a) a))) IRREDUCIBLE: cycle. ------ 144087/15299733. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 144088/15299760. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (a a))(b a))) 3. ==[ beta ]==> ((a b)((a (a a))(b a))) REDUCED to normal form. ------ 144089/15299787. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 144090/15299841. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 144091/15299877. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(a a))(^z.z))) 5. ==[ beta ]==> ((^y.a)(((a a)(a a))(^z.z))) 6. ==[ alpha ]==> ((^x.a)(((a a)(a a))(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 144092/15299904. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 144093/15299931. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 144094/15300021. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((a a) a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 144095/15300048. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 144096/15300102. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 144097/15300129. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(b a))) 3. ==[ beta ]==> (((a b)(a a))((b a)(b a))) REDUCED to normal form. ------ 144098/15300156. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 144099/15300543. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b ((^z.z) b))) 3. ==[ beta ]==> (b (b ((^z.z) b))) 4. ==[ alpha ]==> (b (b ((^x.x) b))) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 144100/15300867. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 144101/15301011. ------ 1. ==[ start ]==> (((a b) c)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 144102/15301038. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 144103/15301065. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(^y.a))) REDUCED to normal form. ------ 144104/15301119. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.(a a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(a a))) REDUCED to normal form. ------ 144105/15301146. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 144106/15301200. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144107/15301227. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 144108/15301254. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) b) a)) 3. ==[ beta ]==> (((a b)(^x.a))(b a)) REDUCED to normal form. ------ 144109/15301281. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 144110/15301308. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((b a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((b a) c)) REDUCED to normal form. ------ 144111/15301371. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 144112/15301398. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (a b))((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a (a b))((^x.b)(^y.a))) 5. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 144113/15301452. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144114/15301533. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 144115/15301560. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 144116/15301677. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(a a))(a (a a)))) 5. ==[ beta ]==> (b (((^z.z)(a a))(a (a a)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(a (a a)))) 7. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 144117/15301758. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (b ((^y.y)(a b))) 6. ==[ alpha ]==> (b ((^x.x)(a b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 144118/15301866. ------ 1. ==[ start ]==> (((^a.a)(b a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((b a)((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((b a)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 144119/15301929. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 144120/15301956. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 144121/15302010. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 144122/15302037. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 144123/15302064. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.b))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.b))) 7. ==[ beta ]==> (((a a)(^x.a))(^z.b)) 8. ==[ alpha ]==> (((a a)(^x.a))(^y.b)) REDUCED to normal form. ------ 144124/15302091. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(^x1.(a a)))) REDUCED to normal form. ------ 144125/15302154. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 144126/15302181. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 144127/15302208. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 144128/15302289. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 144129/15302316. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 144130/15302370. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 144131/15302424. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 144132/15302514. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((b a)(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((b a)(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((b a)(a a))) 5. ==[ beta ]==> ((a a)((b a)(a a))) REDUCED to normal form. ------ 144133/15302595. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> (b ((a b)(a (a a)))) REDUCED to normal form. ------ 144134/15302703. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1) a)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144135/15302730. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 144136/15302757. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 144137/15302820. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 144138/15302847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 144139/15302901. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 144140/15302955. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a))(^z.b))) REDUCED to normal form. ------ 144141/15303045. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)(b a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(b a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(b a)) REDUCED to normal form. ------ 144142/15303126. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 144143/15303153. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((a b)((^y.b)(^z.(z z)))) 6. ==[ alpha ]==> ((a b)((^x.b)(^y.(y y)))) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 144144/15303207. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 144145/15303234. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(^y.b))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.b)(^y.b))) 6. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(^y.b))) 7. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 144146/15303261. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 144147/15303351. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 144148/15303378. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1)(a a))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(a a))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 144149/15303513. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)(a b))) 3. ==[ beta ]==> (b (((^z.z) a)(a b))) 4. ==[ alpha ]==> (b (((^x.x) a)(a b))) 5. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 144150/15303630. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 144151/15303657. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a b)(^y.a))) 3. ==[ beta ]==> ((b a)((a b)(^y.a))) 4. ==[ alpha ]==> ((b a)((a b)(^x.a))) REDUCED to normal form. ------ 144152/15303684. ------ 1. ==[ start ]==> (((a a)(^b.b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 144153/15303711. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.(^x2.x2))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 144154/15303792. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(^z.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 144155/15303819. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 144156/15303846. ------ 1. ==[ start ]==> (((a b)(^c.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 144157/15303873. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 144158/15303900. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a b) c)) REDUCED to normal form. ------ 144159/15304017. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.b))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.b))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 144160/15304044. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 144161/15304071. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 144162/15304287. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (^x1.(a a)))) REDUCED to normal form. ------ 144163/15304314. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((b (a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((b (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 144164/15304341. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(a a))(a a))) 3. ==[ beta ]==> ((a ((a a)(a a)))(a a)) REDUCED to normal form. ------ 144165/15304728. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(b (a b))) 3. ==[ beta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 144166/15304764. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(a a)) a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(a a)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(a a)) a)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 144167/15304782. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a b)(a a))) 3. ==[ beta ]==> (((b a)(b a))((a b)(a a))) REDUCED to normal form. ------ 144168/15304863. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (a a))(a (a a)))) 3. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 144169/15304980. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a b)(^x1.x1))) REDUCED to normal form. ------ 144170/15305007. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 144171/15305034. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.a)) 6. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 144172/15305070. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 144173/15305097. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 144174/15305124. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 144175/15305151. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(a b))) 3. ==[ beta ]==> (((a (a a))(b a))(a b)) REDUCED to normal form. ------ 144176/15305178. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 144177/15305232. ------ 1. ==[ start ]==> (((a b)(a b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 144178/15305259. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a a)((a a) a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 144179/15305286. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 144180/15305340. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.b)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.b)) REDUCED to normal form. ------ 144181/15305511. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a a)((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144182/15305736. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((b c)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((b c)(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((b c)((^y.y) b)) 6. ==[ alpha ]==> ((b c)((^x.x) b)) 7. ==[ beta ]==> ((b c) b) REDUCED to normal form. ------ 144183/15305763. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (a a)) c)) REDUCED to normal form. ------ 144184/15305808. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(c (a (a a)))) 3. ==[ beta ]==> ((b (^y.y))(c (a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))(c (a (a a)))) REDUCED to normal form. ------ 144185/15305835. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 144186/15305871. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.a) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.a) a)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 144187/15305889. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^z1.z1)(a a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)(a a))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 144188/15305898. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 144189/15305970. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 144190/15306087. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^x1.a))) REDUCED to normal form. ------ 144191/15306114. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.a))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.a))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 144192/15306141. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 144193/15306204. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 144194/15306231. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a))) a) REDUCED to normal form. ------ 144195/15306258. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 144196/15306285. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 144197/15306366. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(c (^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(c (^y.a))) 3. ==[ beta ]==> (((a b)(a a))(c (^y.a))) 4. ==[ alpha ]==> (((a b)(a a))(c (^x.a))) REDUCED to normal form. ------ 144198/15306393. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(b (^y.(y y)))) 3. ==[ beta ]==> (((a a)(a b))(b (^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a b))(b (^x.(x x)))) REDUCED to normal form. ------ 144199/15306420. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 144200/15306474. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a))) a) REDUCED to normal form. ------ 144201/15306501. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 144202/15306528. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 144203/15306582. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 144204/15306672. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(a a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 7. ==[ beta ]==> (((^y.y) a)(a a)) 8. ==[ alpha ]==> (((^x.x) a)(a a)) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 144205/15306753. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(d a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(d a)) 3. ==[ beta ]==> (b (d a)) REDUCED to normal form. ------ 144206/15306861. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(c (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(c (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144207/15307023. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 144208/15307077. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(b (a a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(b (a a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(b (a a))) 5. ==[ beta ]==> ((b ((^y.y) b))(b (a a))) 6. ==[ alpha ]==> ((b ((^x.x) b))(b (a a))) 7. ==[ beta ]==> ((b b)(b (a a))) REDUCED to normal form. ------ 144209/15307086. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((a a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a) b)) REDUCED to normal form. ------ 144210/15307113. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144211/15307158. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 144212/15307167. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 144213/15307194. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((a a) a)) 3. ==[ beta ]==> (((a a)(^y.(a a)))((a a) a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 144214/15307221. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.z) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b)) a) REDUCED to normal form. ------ 144215/15307247. ------ 1. ==[ start ]==> (^a.((b a)(^c.a))) 2. ==[ alpha ]==> (^x.((b x)(^y.x))) REDUCED to normal form. ------ 144216/15307248. ------ 1. ==[ start ]==> (a ((b a)(^c.a))) 2. ==[ alpha ]==> (a ((b a)(^x.a))) REDUCED to normal form. ------ 144217/15307503. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (^y.(^z.((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> (^x.(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (^x.(^y.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 144218/15316836. ------ 1. ==[ start ]==> ((^a.a)((b a)(^c.a))) 2. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 3. ==[ beta ]==> ((b a)(^y.a)) 4. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 144219/15316863. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(^z.b))) 3. ==[ beta ]==> ((((a a)(^y.y))(^z.b))(((a a)(^y.y))(^z.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(((a a)(^z.z))(^x1.b))) REDUCED to normal form. ------ 144220/15316890. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 144221/15316926. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144222/15316971. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.z1)) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.z1)) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.y1)) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144223/15317088. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (^y.((^z.z)((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144224/15317091. ------ 1. ==[ start ]==> ((a (^b.a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 144225/15317331. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 144226/15317505. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> ((((^x.x) a) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.z))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 144227/15317883. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(b (^y.y)))) REDUCED to normal form. ------ 144228/15318213. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((((^y.y) a)(^z.z))(((^y.y) a)(^z.z)))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((((^x.x) a)(^y.y))(((^z.z) a)(^x1.x1)))(((^y1.y1) a)(^z1.z1))) 5. ==[ beta ]==> (((a (^y.y))(((^z.z) a)(^x1.x1)))(((^y1.y1) a)(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.x))(((^y.y) a)(^z.z)))(((^x1.x1) a)(^y1.y1))) 7. ==[ beta ]==> (((a (^x.x))(a (^z.z)))(((^x1.x1) a)(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.x1))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.x1))) 10. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 144229/15318726. ------ 1. ==[ start ]==> ((^a.(a b))((^b.b) c)) 2. ==[ alpha ]==> ((^x.(x b))((^y.y) c)) 3. ==[ beta ]==> (((^y.y) c) b) 4. ==[ alpha ]==> (((^x.x) c) b) 5. ==[ beta ]==> (c b) REDUCED to normal form. ------ 144230/15319113. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(((^z.(^x1.(^y1.y1)))((^z1.z1) a))((^z.(^x1.(^y1.y1)))((^z1.z1) a)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.(^x1.x1)))((^y1.y1) a))((^z1.(^x2.(^y2.y2)))((^z2.z2) a)))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))((^z1.(^x2.(^y2.y2)))((^z2.z2) a)))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.(^y1.(^z1.z1)))((^x2.x2) a)))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144231/15319320. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)(^x1.(^y1.(^z1.z1))))(((^z.z) a)(^x1.(^y1.(^z1.z1)))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)(^z.(^x1.(^y1.y1))))(((^z1.z1) a)(^x2.(^y2.(^z2.z2)))))) 5. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.(^y1.y1))))(((^z1.z1) a)(^x2.(^y2.(^z2.z2))))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 9. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.(^z1.(^x2.x2))))) 10. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 144232/15319746. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.((z z)(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((z z)(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((y y)(y y)))) REDUCED to normal form. ------ 144233/15320412. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.b)((^y.y) a))(^x1.x1)) 4. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 144234/15320751. ------ 1. ==[ start ]==> ((^a.(b a))((^b.b) a)) 2. ==[ alpha ]==> ((^x.(b x))((^y.y) a)) 3. ==[ eta ]==> (b ((^y.y) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 144235/15321060. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144236/15321300. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)((a a)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 144237/15322191. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144238/15323004. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (b (^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 144239/15323505. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((((^y.y)(a a))(^z.z))(((^y.y)(a a))(^z.z)))((((^y.y)(a a))(^z.z))(((^y.y)(a a))(^z.z)))) 4. ==[ alpha ]==> (((((^x.x)(a a))(^y.y))(((^z.z)(a a))(^x1.x1)))((((^y1.y1)(a a))(^z1.z1))(((^x2.x2)(a a))(^y2.y2)))) 5. ==[ beta ]==> ((((a a)(^y.y))(((^z.z)(a a))(^x1.x1)))((((^y1.y1)(a a))(^z1.z1))(((^x2.x2)(a a))(^y2.y2)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(((^y.y)(a a))(^z.z)))((((^x1.x1)(a a))(^y1.y1))(((^z1.z1)(a a))(^x2.x2)))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^z.z)))((((^x1.x1)(a a))(^y1.y1))(((^z1.z1)(a a))(^x2.x2)))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((((^z.z)(a a))(^x1.x1))(((^y1.y1)(a a))(^z1.z1)))) 9. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^x1.x1))(((^y1.y1)(a a))(^z1.z1)))) 10. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z))(((^x1.x1)(a a))(^y1.y1)))) 11. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z))((a a)(^y1.y1)))) 12. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 144240/15323931. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((^y1.y1)(x1 x1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 144241/15324138. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(^z1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144242/15324318. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.(^a.b))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.b))) REDUCED to normal form. ------ 144243/15324585. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 144244/15324867. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144245/15325038. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((z z) z))) 3. ==[ beta ]==> ((a (^y.y))(^z.((z z) z))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 144246/15325173. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 144247/15325746. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(((^x1.x1) a) b)) 3. ==[ eta ]==> ((^y.(^z.z))(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144248/15325920. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 144249/15326163. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 144250/15326280. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(z1 (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.(z1 (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(y1 (^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 (^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144251/15326325. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 144252/15326334. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^d.a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 144253/15326361. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.b)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 144254/15326388. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(z z))) REDUCED to normal form. ------ 144255/15326427. ------ 1. ==[ start ]==> ((a a)((b a)(^c.a))) 2. ==[ alpha ]==> ((a a)((b a)(^x.a))) REDUCED to normal form. ------ 144256/15326454. ------ 1. ==[ start ]==> ((a (a a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.b))) REDUCED to normal form. ------ 144257/15326481. ------ 1. ==[ start ]==> ((a b)(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.(a a)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 144258/15326490. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 144259/15326517. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 144260/15326562. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 144261/15326571. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144262/15326598. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) b))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) b)) 7. ==[ beta ]==> (((^y.y) b)((^y.y) b)) 8. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 9. ==[ beta ]==> (b ((^y.y) b)) 10. ==[ alpha ]==> (b ((^x.x) b)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 144263/15326625. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((a a)(a a)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 144264/15326652. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144265/15326679. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (^x.a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 144266/15326697. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 144267/15326724. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b (^y.y)) b)) REDUCED to normal form. ------ 144268/15326760. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 144269/15326787. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 144270/15326922. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 144271/15327030. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.a)(^z.(a a)))((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> (((^x.a)(^y.(a a)))((^z.a)(^x1.(a a)))) 7. ==[ beta ]==> (a ((^z.a)(^x1.(a a)))) 8. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 144272/15327093. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a b)(a ((^y.(^z.z)) a))) 4. ==[ alpha ]==> ((a b)(a ((^x.(^y.y)) a))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 144273/15327120. ------ 1. ==[ start ]==> (((a (a a)) a)((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a)) a)((b (^x.x))(a a))) REDUCED to normal form. ------ 144274/15327147. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 144275/15327174. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(b ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(b a)) REDUCED to normal form. ------ 144276/15327201. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a (a a)))) REDUCED to normal form. ------ 144277/15327228. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((b a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 144278/15327336. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a) a)((a a)(^y.y)))) 3. ==[ beta ]==> ((b b)(((a a) a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((b b)(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 144279/15327471. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a a)(b (^x.x)))) REDUCED to normal form. ------ 144280/15327597. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 144281/15327669. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.b))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 144282/15327696. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)(^y.(a a)))) REDUCED to normal form. ------ 144283/15327777. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 144284/15327804. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> ((a ((a a) a))(a (^y.y))) 4. ==[ alpha ]==> ((a ((a a) a))(a (^x.x))) REDUCED to normal form. ------ 144285/15327840. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144286/15327975. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 144287/15328056. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(^x1.b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.b))) 7. ==[ beta ]==> ((a a)((^y.(a a))(^z.b))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.b))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 144288/15328308. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (b (((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> (b (((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> (b (b (a (^y.y)))) 6. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 144289/15328317. ------ 1. ==[ start ]==> ((a (a b))((^b.b) c)) 2. ==[ alpha ]==> ((a (a b))((^x.x) c)) 3. ==[ beta ]==> ((a (a b)) c) REDUCED to normal form. ------ 144290/15328470. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(((a a) a)(a a))) REDUCED to normal form. ------ 144291/15328497. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a b) a)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a b) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a b) a)((a a)(^x.x))) REDUCED to normal form. ------ 144292/15328524. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(b a))) REDUCED to normal form. ------ 144293/15328578. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 144294/15328596. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b (^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.(a a)))) REDUCED to normal form. ------ 144295/15328605. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 144296/15328677. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 144297/15328704. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 144298/15328722. ------ 1. ==[ start ]==> (((a a)(a b))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((b a)(^x.(x x)))) REDUCED to normal form. ------ 144299/15328749. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 144300/15328803. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(^x.b))) REDUCED to normal form. ------ 144301/15328830. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(((a a) a)(^z.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.(a a)))) 7. ==[ beta ]==> (a (((a a) a)(^y.(a a)))) 8. ==[ alpha ]==> (a (((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 144302/15328911. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 144303/15328920. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 144304/15328947. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144305/15329001. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 7. ==[ beta ]==> ((^y.(a a))(^z.z)) 8. ==[ alpha ]==> ((^x.(a a))(^y.y)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 144306/15329136. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 144307/15329163. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.b))) 5. ==[ beta ]==> ((^y.b)(^z.b)) 6. ==[ alpha ]==> ((^x.b)(^y.b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 144308/15329217. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144309/15329280. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (a (^y.(^z.z))))) REDUCED to normal form. ------ 144310/15329298. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 144311/15329307. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b ((^z.z) b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 144312/15329334. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a ((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((a a)(a a)))) REDUCED to normal form. ------ 144313/15329370. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.b) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.y) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.x) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 144314/15329397. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 144315/15329523. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a)(a b))) 3. ==[ beta ]==> (b (((a a) a)(a b))) REDUCED to normal form. ------ 144316/15329622. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (c (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (c (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 144317/15329838. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 144318/15329919. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 144319/15330000. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 144320/15330342. ------ 1. ==[ start ]==> ((a (b a))((^b.b) a)) 2. ==[ alpha ]==> ((a (b a))((^x.x) a)) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 144321/15330576. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a ((a a)(^y.y)))) REDUCED to normal form. ------ 144322/15330621. ------ 1. ==[ start ]==> (((^a.a)(b a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((b a)(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 144323/15330648. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 144324/15330783. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 144325/15330891. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 144326/15330936. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 144327/15330963. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (a a))((a (^y.(^z.z))) a)) 6. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 144328/15330990. ------ 1. ==[ start ]==> (((a (a a))(a b))((b a) b)) REDUCED to normal form. ------ 144329/15331188. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144330/15331467. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a a))) REDUCED to normal form. ------ 144331/15331494. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))((a a)(^y1.y1)))) REDUCED to normal form. ------ 144332/15331647. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (b ((^x1.b)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.b)(a (a a)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 144333/15331755. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144334/15331782. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 144335/15331827. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((b a) a)) REDUCED to normal form. ------ 144336/15331854. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 144337/15332061. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144338/15332268. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d (^z.b))) 3. ==[ beta ]==> (b (d (^z.b))) 4. ==[ alpha ]==> (b (d (^x.b))) REDUCED to normal form. ------ 144339/15332430. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)((^z.z) a))) 5. ==[ beta ]==> (b ((^y.b)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 144340/15332511. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 144341/15332592. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 144342/15332880. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(a a)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(a a)) b)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a)) b)) 7. ==[ beta ]==> ((a a)((^y.(a a)) b)) 8. ==[ alpha ]==> ((a a)((^x.(a a)) b)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 144343/15332907. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.b) c)) 3. ==[ beta ]==> ((((a a) a)(a b)) b) REDUCED to normal form. ------ 144344/15332934. ------ 1. ==[ start ]==> (((a b)((a a) a))((^c.a) d)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a) d)) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 144345/15333096. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> ((a ((a a)(a a)))((a a)(^y.y))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((a a)(^x.x))) REDUCED to normal form. ------ 144346/15333132. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(a (^z.z))) 6. ==[ alpha ]==> ((^x.b)(a (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 144347/15333267. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 144348/15333375. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144349/15333456. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 144350/15333483. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144351/15333492. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a b))) REDUCED to normal form. ------ 144352/15333519. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 144353/15333600. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z) a)) 6. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y) a)) 7. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 144354/15333627. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 144355/15333681. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))((a a) a))) REDUCED to normal form. ------ 144356/15333726. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(a (^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144357/15333825. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 144358/15333852. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 144359/15333906. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(b a))((a a)(^x.b))) REDUCED to normal form. ------ 144360/15333933. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a b) a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a b) a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b) a)) 5. ==[ beta ]==> (((a a)(^y.y))((a b) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a b) a)) REDUCED to normal form. ------ 144361/15333960. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((a a) a) b)) 3. ==[ beta ]==> ((((a a) a)(a a))(((a a) a) b)) REDUCED to normal form. ------ 144362/15333987. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> (((a b)(a b))((^y.y) c)) 4. ==[ alpha ]==> (((a b)(a b))((^x.x) c)) 5. ==[ beta ]==> (((a b)(a b)) c) REDUCED to normal form. ------ 144363/15334122. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.b) a)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.b) a)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.b) a)) 5. ==[ beta ]==> ((b (a (^x.x))) b) REDUCED to normal form. ------ 144364/15334176. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 144365/15334266. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b (^y1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b (^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b (^x2.a))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144366/15334347. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 144367/15334455. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.y1)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144368/15334563. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 144369/15334590. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144370/15334626. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a ((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(a ((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(a ((a a) a))) REDUCED to normal form. ------ 144371/15334653. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 144372/15334725. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(c (^z.(z z)))) 3. ==[ beta ]==> (b (c (^z.(z z)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 144373/15334734. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 144374/15334761. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.b))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 144375/15334833. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144376/15334869. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(c d)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(c d)) 3. ==[ beta ]==> ((b (^y.a))(c d)) 4. ==[ alpha ]==> ((b (^x.a))(c d)) REDUCED to normal form. ------ 144377/15334959. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 144378/15335067. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((b a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((b a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 144379/15335094. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(b b)) REDUCED to normal form. ------ 144380/15335121. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.a) c)) 3. ==[ beta ]==> (((a b)(a a))((^y.a) c)) 4. ==[ alpha ]==> (((a b)(a a))((^x.a) c)) 5. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 144381/15335229. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 144382/15335256. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((b ((^y.y) a))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((b a)((a (^y.y))(^z.a))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 144383/15335283. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 144384/15335337. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(((^z.z) a) b)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a) b)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) b)) 5. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 144385/15335508. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (b (a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 144386/15335616. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a)(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144387/15335733. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((a a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(a (^y.y)))) 5. ==[ beta ]==> (a ((a a)(a (^y.y)))) 6. ==[ alpha ]==> (a ((a a)(a (^x.x)))) REDUCED to normal form. ------ 144388/15335751. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(a (^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(a (^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(a (^z.a))) 5. ==[ beta ]==> ((^y.y)(a (^z.a))) 6. ==[ alpha ]==> ((^x.x)(a (^y.a))) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 144389/15335778. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144390/15335832. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.x1))) 8. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.z))) 9. ==[ beta ]==> ((b b)(^y.y)) 10. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 144391/15335841. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(b (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (a a))) REDUCED to normal form. ------ 144392/15335868. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(a (a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(a (a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a (^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144393/15335913. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 144394/15335922. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(b a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 144395/15335949. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(a b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(a b)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(a b)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a b)) REDUCED to normal form. ------ 144396/15335976. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(a (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(a (a a))) REDUCED to normal form. ------ 144397/15339930. ------ 1. ==[ start ]==> ((^a.(b a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(b x))(^y.((^z.z) b))) 3. ==[ eta ]==> (b (^y.((^z.z) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 144398/15341685. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(b a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(b z))) 3. ==[ eta ]==> ((^x.((^y.y) b)) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 144399/15345618. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144400/15345699. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144401/15346554. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144402/15347448. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(b (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(b (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(b (^z.z)))) REDUCED to normal form. ------ 144403/15347499. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) b)(a (^z.z))) b) 4. ==[ alpha ]==> ((((^x.x) b)(a (^y.y))) b) 5. ==[ beta ]==> ((b (a (^y.y))) b) 6. ==[ alpha ]==> ((b (a (^x.x))) b) REDUCED to normal form. ------ 144404/15347886. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (^y.(((a (^z.(^x1.x1)))(^y1.a))((a (^z.(^x1.x1)))(^y1.a)))) 4. ==[ alpha ]==> (^x.(((a (^y.(^z.z)))(^x1.a))((a (^y1.(^z1.z1)))(^x2.a)))) REDUCED to normal form. ------ 144405/15348519. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 144406/15348768. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a (a a))((a a)(^z.z)))((a (a a))((a a)(^z.z))))(^y.y)) 4. ==[ alpha ]==> ((((a (a a))((a a)(^x.x)))((a (a a))((a a)(^y.y))))(^z.z)) REDUCED to normal form. ------ 144407/15349185. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 144408/15349194. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 144409/15349524. ------ 1. ==[ start ]==> ((^a.(b a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(b x))(a ((^y.y) b))) 3. ==[ eta ]==> (b (a ((^y.y) b))) 4. ==[ alpha ]==> (b (a ((^x.x) b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 144410/15349527. ------ 1. ==[ start ]==> ((a (b a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a (b a))(^x.((^y.y) b))) 3. ==[ beta ]==> ((a (b a))(^x.b)) REDUCED to normal form. ------ 144411/15350964. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144412/15351279. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (b a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (b a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 144413/15351282. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(b a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(b y))) 3. ==[ eta ]==> ((a ((^x.x) b)) b) 4. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 144414/15351777. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 144415/15351786. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 144416/15352038. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 144417/15352254. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((b (a a))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((b (a a))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((b (a a))(^x.(a a))) REDUCED to normal form. ------ 144418/15352704. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(^z1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 144419/15352920. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.(x1 x1)))) REDUCED to normal form. ------ 144420/15353307. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(z b))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(z b))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(y b))) REDUCED to normal form. ------ 144421/15353358. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 144422/15353811. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 144423/15354252. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b a)(^x.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 144424/15354693. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^b.d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.d)) 3. ==[ beta ]==> (b (^x1.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 144425/15354936. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^b.c)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.c)) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.c)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.c)) 5. ==[ beta ]==> ((^y.y)(^z.c)) 6. ==[ alpha ]==> ((^x.x)(^y.c)) 7. ==[ beta ]==> (^y.c) 8. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 144426/15355053. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144427/15355098. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 144428/15355107. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 144429/15355134. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(a a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 144430/15355161. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 144431/15355218. ------ 1. ==[ start ]==> ((a (^a.a))((b a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))((b a)(^y.a))) REDUCED to normal form. ------ 144432/15355245. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 144433/15355272. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a a)((a a)(^y.(a a)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 144434/15355281. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 144435/15355299. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 144436/15355308. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.b)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.b)((a a)(^y.y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 144437/15355353. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144438/15355362. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 144439/15355380. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 144440/15355389. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) b)((^z.z) b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b)((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x)) a)(b ((^z.z) b))) 6. ==[ alpha ]==> (((a (^x.x)) a)(b ((^y.y) b))) 7. ==[ beta ]==> (((a (^x.x)) a)(b b)) REDUCED to normal form. ------ 144441/15355416. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 144442/15355443. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 144443/15355542. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(a a)) c)) 3. ==[ beta ]==> ((^y.a)(((a a)(a a)) c)) 4. ==[ alpha ]==> ((^x.a)(((a a)(a a)) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 144444/15355578. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y y))) REDUCED to normal form. ------ 144445/15355605. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 144446/15355686. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 144447/15355794. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a a)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 144448/15356046. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 144449/15356073. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)(a b))) REDUCED to normal form. ------ 144450/15356100. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))((a b)(a a))) REDUCED to normal form. ------ 144451/15356127. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 144452/15356154. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(b a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(b a))) 7. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 144453/15356298. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((b (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 7. ==[ beta ]==> ((b (^y.y))(^z.z)) 8. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 144454/15356325. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 144455/15356361. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.a))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.a))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 144456/15356379. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) REDUCED to normal form. ------ 144457/15356388. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 144458/15356622. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 144459/15356676. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((b (^z.z)) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((b (^z.z)) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((b (^z.z)) a)) 5. ==[ beta ]==> (a ((b (^z.z)) a)) 6. ==[ alpha ]==> (a ((b (^x.x)) a)) REDUCED to normal form. ------ 144460/15356712. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 144461/15356739. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.a))) 3. ==[ beta ]==> ((((a a) a) a)(^y.a)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.a)) REDUCED to normal form. ------ 144462/15356847. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 144463/15356874. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144464/15357018. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b ((a a)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(b ((a a)(a a)))) REDUCED to normal form. ------ 144465/15357045. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a (b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a (b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (b (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (b (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(a (b (^y.y)))) REDUCED to normal form. ------ 144466/15357072. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 144467/15357099. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> ((a (a b))(b (a (^y.y)))) 4. ==[ alpha ]==> ((a (a b))(b (a (^x.x)))) REDUCED to normal form. ------ 144468/15357108. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z) c)) 3. ==[ beta ]==> ((^y.b)((^z.z) c)) 4. ==[ alpha ]==> ((^x.b)((^y.y) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 144469/15357360. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 144470/15357387. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.(a a)))) REDUCED to normal form. ------ 144471/15357459. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> (b (b (^y.(^z.z)))) 6. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 144472/15357468. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 144473/15357486. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 144474/15357657. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 144475/15357702. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 144476/15357729. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 144477/15357783. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(a a)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a)) a)) 5. ==[ beta ]==> ((^y.y)(((a a)(a a)) a)) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a)) a)) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 144478/15357927. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 144479/15357954. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 144480/15358008. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 144481/15358062. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 144482/15358089. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 144483/15358152. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) b)(a a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) b)(a a))) 5. ==[ beta ]==> (((a a)(a a))(b (a a))) REDUCED to normal form. ------ 144484/15358179. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 144485/15358206. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((b a)((^y.y) a))) 3. ==[ beta ]==> ((a ((a a) a))((b a)((^y.y) a))) 4. ==[ alpha ]==> ((a ((a a) a))((b a)((^x.x) a))) 5. ==[ beta ]==> ((a ((a a) a))((b a) a)) REDUCED to normal form. ------ 144486/15358233. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 144487/15358260. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a))((a a)((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a (a a))((a a)((^x.x)(^y.y)))) 9. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 10. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 144488/15358287. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a b)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a b)((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)((a b)((a a) a))) REDUCED to normal form. ------ 144489/15358314. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)(a b))) REDUCED to normal form. ------ 144490/15358341. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 144491/15358368. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 144492/15358539. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((b a)(^z.a))) 3. ==[ beta ]==> (b ((b a)(^z.a))) 4. ==[ alpha ]==> (b ((b a)(^x.a))) REDUCED to normal form. ------ 144493/15358548. ------ 1. ==[ start ]==> (((a b) c)((^d.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 144494/15358575. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 144495/15358602. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 144496/15358620. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 144497/15358647. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a) a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.b))) 5. ==[ beta ]==> (((a a) a)(^y.b)) 6. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 144498/15358656. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 144499/15358683. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 144500/15358737. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(b a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144501/15358764. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 144502/15358782. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)(^z.z))) 3. ==[ beta ]==> (b ((a a)(^z.z))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 144503/15358791. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z) b)) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y) b)) 5. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 144504/15358818. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 144505/15358845. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 144506/15359097. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 144507/15359124. ------ 1. ==[ start ]==> ((a (b a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a (b a))(a ((^x.x) b))) 3. ==[ beta ]==> ((a (b a))(a b)) REDUCED to normal form. ------ 144508/15359214. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1)) d)) 5. ==[ beta ]==> (b ((^z.(^x1.x1)) d)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 144509/15359466. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 144510/15359484. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 144511/15359547. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 144512/15359565. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 144513/15359574. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 144514/15359601. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 144515/15359628. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 144516/15359952. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144517/15360051. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> ((a a)((^z.(^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) a)) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 144518/15360348. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((b a)(^z.z))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((b a)(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((b a)(^z.z))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((b a)(^z.z))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((b a)(^y.y))) 7. ==[ beta ]==> (((a a)(a a))((b a)(^y.y))) 8. ==[ alpha ]==> (((a a)(a a))((b a)(^x.x))) REDUCED to normal form. ------ 144519/15360384. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 144520/15360429. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((a b)(^x.(x x)))) REDUCED to normal form. ------ 144521/15360438. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 144522/15360492. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 144523/15360537. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144524/15360546. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 144525/15360564. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 144526/15360843. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144527/15360852. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 144528/15360879. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (b a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (b a))) 3. ==[ beta ]==> ((a b)(a (b a))) REDUCED to normal form. ------ 144529/15361158. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((a a)(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144530/15361167. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 144531/15361194. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((b a)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((b a)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 144532/15361212. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.y) b)((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(^y.a))) 5. ==[ beta ]==> (b ((a b)(^y.a))) 6. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 144533/15361221. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 144534/15361239. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((a a) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 144535/15361329. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(a b))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(a b))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(a b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 144536/15361356. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 144537/15361374. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 144538/15361383. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 144539/15361410. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 144540/15361437. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 144541/15361518. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 144542/15361608. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (b a))(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (b a))(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((a (b a))(b (a a))) REDUCED to normal form. ------ 144543/15361635. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 144544/15361662. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(a a))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))(a a))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a a))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 144545/15361689. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a b)(a (^x.x)))) REDUCED to normal form. ------ 144546/15361716. ------ 1. ==[ start ]==> (((a b)((a a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a b)((a a) a))(((a a) a) a)) REDUCED to normal form. ------ 144547/15361743. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a (a a)))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (a a)))) 9. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 144548/15361770. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a (a a))(^y.y))) REDUCED to normal form. ------ 144549/15361824. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.x1))(a b))) REDUCED to normal form. ------ 144550/15361851. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((b (a a))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((b (a a))((a a)((^x.x)(a a)))) 5. ==[ beta ]==> ((b (a a))((a a)(a a))) REDUCED to normal form. ------ 144551/15361914. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 144552/15362049. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 144553/15362157. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((a a) a) c)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144554/15362193. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 144555/15362220. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 6. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 144556/15362274. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 144557/15362301. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(a a))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(a a))) REDUCED to normal form. ------ 144558/15362319. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(a a)) a)) 3. ==[ beta ]==> (((b a)(b a))((^y.(a a)) a)) 4. ==[ alpha ]==> (((b a)(b a))((^x.(a a)) a)) 5. ==[ beta ]==> (((b a)(b a))(a a)) REDUCED to normal form. ------ 144559/15362463. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c (^x1.a))) REDUCED to normal form. ------ 144560/15362517. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.(a a)))) REDUCED to normal form. ------ 144561/15362544. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.b)(a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.b)(a a))) 5. ==[ beta ]==> ((b (^x.(^y.y))) b) REDUCED to normal form. ------ 144562/15362877. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b ((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b ((a a) a))) REDUCED to normal form. ------ 144563/15362904. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a (a b))) 3. ==[ beta ]==> ((b (a (^y.y)))(a (a b))) 4. ==[ alpha ]==> ((b (a (^x.x)))(a (a b))) REDUCED to normal form. ------ 144564/15362931. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 144565/15362958. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a (b (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((a (b (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 144566/15363129. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 144567/15363273. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a)(^z.z))) 3. ==[ beta ]==> ((b c)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((b c)((^x.a)(^y.y))) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 144568/15363300. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 144569/15363408. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 144570/15363516. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(c (^y.(y y)))) REDUCED to normal form. ------ 144571/15363543. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 144572/15363615. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144573/15363624. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^y1.y1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 144574/15363651. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.a))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 144575/15363678. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 144576/15363795. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(c ((^z.z) a))) 3. ==[ beta ]==> ((a ((^y.y) b))(c ((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(c ((^y.y) a))) 5. ==[ beta ]==> ((a b)(c ((^y.y) a))) 6. ==[ alpha ]==> ((a b)(c ((^x.x) a))) 7. ==[ beta ]==> ((a b)(c a)) REDUCED to normal form. ------ 144577/15363822. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(b (a (a a)))) REDUCED to normal form. ------ 144578/15363849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((b a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((b a)(a (^y.y))) 8. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 144579/15363876. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 144580/15363903. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a a))(a (a (^y.y)))) 6. ==[ alpha ]==> (((a b)(a a))(a (a (^x.x)))) REDUCED to normal form. ------ 144581/15363930. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a b))((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a b))((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a b))((a (^x.x)) a)) REDUCED to normal form. ------ 144582/15363957. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a a)(a (a a)))) REDUCED to normal form. ------ 144583/15364038. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(c c)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(c c)) 3. ==[ beta ]==> ((b ((^y.y) a))(c c)) 4. ==[ alpha ]==> ((b ((^x.x) a))(c c)) 5. ==[ beta ]==> ((b a)(c c)) REDUCED to normal form. ------ 144584/15364209. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> ((^y.y)((^z.(z z)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 7. ==[ beta ]==> ((^y.(y y)) a) 8. ==[ alpha ]==> ((^x.(x x)) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 144585/15364290. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.a) d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1) d)) 3. ==[ beta ]==> (b ((^x1.x1) d)) 4. ==[ alpha ]==> (b ((^x.x) d)) 5. ==[ beta ]==> (b d) REDUCED to normal form. ------ 144586/15364398. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144587/15364515. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.z)))) 5. ==[ beta ]==> (a (b (^y.(^z.z)))) 6. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 144588/15364560. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 144589/15364614. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a (^z.z)) a)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a (^z.z)) a)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a (^z.z)) a)) 5. ==[ beta ]==> ((b ((^y.y) b))((a (^z.z)) a)) 6. ==[ alpha ]==> ((b ((^x.x) b))((a (^y.y)) a)) 7. ==[ beta ]==> ((b b)((a (^y.y)) a)) 8. ==[ alpha ]==> ((b b)((a (^x.x)) a)) REDUCED to normal form. ------ 144590/15364623. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 144591/15364650. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144592/15364695. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (b ((^z.z) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 144593/15364704. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 144594/15364731. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 144595/15364758. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 144596/15364802. ------ 1. ==[ start ]==> (^a.((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 144597/15364803. ------ 1. ==[ start ]==> (a ((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 144598/15368721. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.z))) 3. ==[ eta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 144599/15374403. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a))) a) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) a) 3. ==[ beta ]==> ((^y.(^z.z)) a) 4. ==[ alpha ]==> ((^x.(^y.y)) a) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144600/15374409. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144601/15374463. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 144602/15374682. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 144603/15375003. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^z.z))(((^y.(y y))(^z.z))((^y.(y y))(^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.(z z))(^x1.x1))((^y1.(y1 y1))(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^y.y))(((^z.(z z))(^x1.x1))((^y1.(y1 y1))(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.(z z))(^x1.x1))((^y1.(y1 y1))(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)(((^z.(z z))(^x1.x1))((^y1.(y1 y1))(^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.(y y))(^z.z))((^x1.(x1 x1))(^y1.y1)))) 9. ==[ beta ]==> (((^y.(y y))(^z.z))((^x1.(x1 x1))(^y1.y1))) 10. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.x1))) 11. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.x1))) 12. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 13. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 14. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 15. ==[ beta ]==> ((^y.(y y))(^z.z)) 16. ==[ alpha ]==> ((^x.(x x))(^y.y)) 17. ==[ beta ]==> ((^y.y)(^y.y)) 18. ==[ alpha ]==> ((^x.x)(^y.y)) 19. ==[ beta ]==> (^y.y) 20. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144604/15375096. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> (((^x.(x x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144605/15375228. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144606/15375786. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((^y.(y y))(a (^z.(^x1.x1))))((^y.(y y))(a (^z.(^x1.x1)))))((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.(x x))(a (^y.(^z.z))))((^x1.(x1 x1))(a (^y1.(^z1.z1)))))((^x2.(x2 x2))(a (^y2.(^z2.z2))))) 5. ==[ beta ]==> ((((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(x1 x1))(a (^y1.(^z1.z1)))))((^x2.(x2 x2))(a (^y2.(^z2.z2))))) 6. ==[ alpha ]==> ((((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(y1 y1))(a (^z1.(^x2.x2)))))((^y2.(y2 y2))(a (^z2.(^x3.x3))))) 7. ==[ beta ]==> ((((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^z1.(^x2.x2)))(a (^z1.(^x2.x2)))))((^y2.(y2 y2))(a (^z2.(^x3.x3))))) 8. ==[ alpha ]==> ((((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.(^z1.z1)))(a (^x2.(^y2.y2)))))((^z2.(z2 z2))(a (^x3.(^y3.y3))))) 9. ==[ beta ]==> ((((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.(^z1.z1)))(a (^x2.(^y2.y2)))))((a (^x3.(^y3.y3)))(a (^x3.(^y3.y3))))) 10. ==[ alpha ]==> ((((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.(^z1.z1)))(a (^x2.(^y2.y2)))))((a (^z2.(^x3.x3)))(a (^y3.(^z3.z3))))) REDUCED to normal form. ------ 144607/15376893. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))(b a))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))(b a))((^z.(z z))(b a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))(b a))((^z.(z z))(b a)))) 5. ==[ beta ]==> (((^y.(y y))(b a))((^z.(z z))(b a))) 6. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y))(b a))) 7. ==[ beta ]==> (((b a)(b a))((^y.(y y))(b a))) 8. ==[ alpha ]==> (((b a)(b a))((^x.(x x))(b a))) 9. ==[ beta ]==> (((b a)(b a))((b a)(b a))) REDUCED to normal form. ------ 144608/15377994. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 144609/15378324. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(^z.z))) 3. ==[ eta ]==> (b ((^y.y)(^z.z))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 144610/15378327. ------ 1. ==[ start ]==> ((a (b a))(^b.(^b.b))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 144611/15378948. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 144612/15379161. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^x1.(x1 x1))(^y1.(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.x1))) 7. ==[ beta ]==> ((a a)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 144613/15379254. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(z (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^z.(z (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 144614/15379812. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(y a))) REDUCED to normal form. ------ 144615/15380091. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(b z))) 3. ==[ eta ]==> (((^x.x)(^y.y)) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 144616/15380586. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 144617/15380838. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 144618/15381522. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((b a)(b a))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((b a)(b a))(^x.(x x))) REDUCED to normal form. ------ 144619/15381918. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))((a a)(^z.z))) a) 4. ==[ beta ]==> (((^y.y)((a a)(^z.z))) a) 5. ==[ alpha ]==> (((^x.x)((a a)(^y.y))) a) 6. ==[ beta ]==> (((a a)(^y.y)) a) 7. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 144620/15382107. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 144621/15382629. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.((y1 y1) y1))) REDUCED to normal form. ------ 144622/15383052. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 144623/15383319. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(x1 x1))(^y1.y1))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144624/15383412. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(z (z z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(z (z z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z (z z)))) 6. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 7. ==[ beta ]==> (^y.(y (y y))) 8. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 144625/15383493. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (b (^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 144626/15383817. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^a.c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.c)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.c)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.c)) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.c)) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.c)) 7. ==[ beta ]==> ((b b)(^y.c)) 8. ==[ alpha ]==> ((b b)(^x.c)) REDUCED to normal form. ------ 144627/15383898. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 144628/15383907. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 144629/15383934. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 144630/15383961. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^c.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.a)) REDUCED to normal form. ------ 144631/15384006. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.z1)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.z1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144632/15384018. ------ 1. ==[ start ]==> ((a a)((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 144633/15384036. ------ 1. ==[ start ]==> (((^a.a) a)((b a)(^c.a))) 2. ==[ alpha ]==> (((^x.x) a)((b a)(^y.a))) 3. ==[ beta ]==> (a ((b a)(^y.a))) 4. ==[ alpha ]==> (a ((b a)(^x.a))) REDUCED to normal form. ------ 144634/15384063. ------ 1. ==[ start ]==> (((a a) a)(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.b))) REDUCED to normal form. ------ 144635/15384072. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a))(a b))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 144636/15384090. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 144637/15384117. ------ 1. ==[ start ]==> (((^a.a) b)((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 144638/15384126. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 144639/15384171. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 144640/15384198. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (a a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(^y.y))) REDUCED to normal form. ------ 144641/15384288. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 144642/15384306. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a) a)) 5. ==[ beta ]==> (((^y.(^z.z)) a) a) 6. ==[ alpha ]==> (((^x.(^y.y)) a) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 144643/15384531. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 144644/15384585. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 144645/15384612. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(^y.y))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 144646/15384648. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(c ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(c ((a a)(a a)))) 5. ==[ beta ]==> (c ((a a)(a a))) REDUCED to normal form. ------ 144647/15384702. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((^y.y)(a ((^z.(^x1.x1)) a))) 6. ==[ alpha ]==> ((^x.x)(a ((^y.(^z.z)) a))) 7. ==[ beta ]==> (a ((^y.(^z.z)) a)) 8. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 144648/15384729. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((b (^y.y))(a a))) 3. ==[ beta ]==> ((a (a a))((b (^y.y))(a a))) 4. ==[ alpha ]==> ((a (a a))((b (^x.x))(a a))) REDUCED to normal form. ------ 144649/15384756. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 144650/15384765. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 144651/15384810. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z)))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 144652/15384837. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((b a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 144653/15384972. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144654/15384999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (a a))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 144655/15385053. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 7. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 144656/15385116. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b (^z.z))(^x1.x1))) REDUCED to normal form. ------ 144657/15385143. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 144658/15385170. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) b)(^z.a))) 5. ==[ beta ]==> ((a (^x.a))(b (^z.a))) 6. ==[ alpha ]==> ((a (^x.a))(b (^y.a))) REDUCED to normal form. ------ 144659/15385197. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) REDUCED to normal form. ------ 144660/15385224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(^y.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 144661/15385287. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 144662/15385314. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((^y.b)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(a a)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 144663/15385368. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(b a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 144664/15385395. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 144665/15385521. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a)(a a)) b)) 3. ==[ beta ]==> (((^y.y) b)(((a a)(a a)) b)) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(a a)) b)) 5. ==[ beta ]==> (b (((a a)(a a)) b)) REDUCED to normal form. ------ 144666/15385548. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) b) c)) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) b) c)) 3. ==[ beta ]==> ((((a a) a) a)(b c)) REDUCED to normal form. ------ 144667/15385773. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.(^y1.(^z1.z1)))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 144668/15385800. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.y))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 144669/15385899. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(a a)) b)) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a)) b)) 3. ==[ beta ]==> (b ((^y.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 144670/15385917. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 144671/15385998. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) IRREDUCIBLE: cycle. ------ 144672/15386079. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (b (((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 144673/15386106. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> ((a b)((a a)(^y.y))) 8. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 144674/15386133. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (a a))(b a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(b a))) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 144675/15386187. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a (^x.x)) b)) REDUCED to normal form. ------ 144676/15386250. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(a a))(^z.z))) REDUCED to normal form. ------ 144677/15386277. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 144678/15386313. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 144679/15386394. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 144680/15386421. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b)(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b)(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(a b))) 5. ==[ beta ]==> (((^y.y) a)((^z.b)(a b))) 6. ==[ alpha ]==> (((^x.x) a)((^y.b)(a b))) 7. ==[ beta ]==> (a ((^y.b)(a b))) 8. ==[ alpha ]==> (a ((^x.b)(a b))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 144681/15386466. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 144682/15386475. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 144683/15386502. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(b a))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(b a))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(b a))) 5. ==[ beta ]==> ((a (a a))((b a)(b a))) REDUCED to normal form. ------ 144684/15386889. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (c (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (c (a (^x.(^y.y))))) REDUCED to normal form. ------ 144685/15387213. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(b a))) 5. ==[ beta ]==> (((^y.y) a)(b a)) 6. ==[ alpha ]==> (((^x.x) a)(b a)) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 144686/15387357. ------ 1. ==[ start ]==> (((a b) c)((b a)(^b.a))) 2. ==[ alpha ]==> (((a b) c)((b a)(^x.a))) REDUCED to normal form. ------ 144687/15387384. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 144688/15387411. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 144689/15387465. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a)(^z.b))) REDUCED to normal form. ------ 144690/15387492. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.b))(^z.(a a))) 8. ==[ alpha ]==> ((a (^x.b))(^y.(a a))) REDUCED to normal form. ------ 144691/15387573. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 144692/15387600. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 144693/15387627. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) b) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) b) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 144694/15387654. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 144695/15387744. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 144696/15387771. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 144697/15387825. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 144698/15387852. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a b) a)(^y.y)) 8. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 144699/15387906. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 144700/15387933. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(^y.y))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 144701/15388023. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (b (((a a)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y) a))) 7. ==[ beta ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 144702/15388104. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 144703/15388212. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(b a))) 3. ==[ beta ]==> ((b a)((a (^y.y))(b a))) 4. ==[ alpha ]==> ((b a)((a (^x.x))(b a))) REDUCED to normal form. ------ 144704/15388239. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 144705/15388275. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 144706/15388302. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 144707/15388356. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 144708/15388383. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 144709/15388410. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.a))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 144710/15388437. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(^z1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.b))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.b)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 144711/15388500. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 144712/15388527. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 144713/15388554. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 144714/15388581. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.y))) REDUCED to normal form. ------ 144715/15388662. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 144716/15388689. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 144717/15388770. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 144718/15388860. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 144719/15388941. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (b ((a a)((^y.y) a))) 6. ==[ alpha ]==> (b ((a a)((^x.x) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 144720/15389049. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144721/15389076. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a ((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 144722/15389103. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 144723/15389166. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((b a)(^y.y))) REDUCED to normal form. ------ 144724/15389193. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 144725/15389247. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 144726/15389274. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 144727/15389301. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 144728/15389355. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.(a a)))) REDUCED to normal form. ------ 144729/15389391. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 144730/15389418. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(b a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(b a)) REDUCED to normal form. ------ 144731/15389499. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a b)((^y.(a a))(^z.a))) 6. ==[ alpha ]==> ((a b)((^x.(a a))(^y.a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 144732/15389526. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 144733/15389553. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 144734/15389580. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 144735/15389607. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.b)(^z.b))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(^z.b))) 7. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 144736/15389697. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (b a))) 3. ==[ beta ]==> ((^y.y)(a (b a))) 4. ==[ alpha ]==> ((^x.x)(a (b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 144737/15389724. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((a a)(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z1.z1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 144738/15389859. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))((a a) a))) 3. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 144739/15389976. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 144740/15390003. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 144741/15390030. ------ 1. ==[ start ]==> (((a a)(^b.b))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 144742/15390057. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a a) a)(^y1.(y1 y1)))) REDUCED to normal form. ------ 144743/15390138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(^z.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 144744/15390165. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 144745/15390192. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 144746/15390219. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 144747/15390246. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a a) b)) REDUCED to normal form. ------ 144748/15390363. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a a) b)((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 7. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 144749/15390390. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 144750/15390417. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 144751/15390660. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(b (^y.(a a)))) 3. ==[ beta ]==> ((b (a a))(b (^y.(a a)))) 4. ==[ alpha ]==> ((b (a a))(b (^x.(a a)))) REDUCED to normal form. ------ 144752/15391074. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c ((a a) a))) 3. ==[ beta ]==> ((^y.y)(c ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(c ((a a) a))) 5. ==[ beta ]==> (c ((a a) a)) REDUCED to normal form. ------ 144753/15391128. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((b a)(b a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((b a)(b a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((b a)(b a))(a (a a))) REDUCED to normal form. ------ 144754/15391191. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^c.a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 144755/15391209. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 144756/15391317. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144757/15391353. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a b)(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 144758/15391380. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 144759/15391416. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 144760/15391443. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 144761/15391470. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 144762/15391497. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 144763/15391524. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(a b))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a b))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a b))) 7. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 144764/15391551. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.b)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)(^y.y))) 5. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 144765/15391578. ------ 1. ==[ start ]==> (((a b)(a b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 144766/15391605. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 144767/15391632. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.(x1 x1))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 144768/15391713. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(^z.b))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.b)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.b)) REDUCED to normal form. ------ 144769/15391857. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (^x2.x2))((^y2.y2)(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x2.x2))((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144770/15392082. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) b) c)(((a a) a) a)) 3. ==[ beta ]==> ((b c)(((a a) a) a)) REDUCED to normal form. ------ 144771/15392109. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> ((((a a)(a a)) b)((^y.y) b)) 4. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x) b)) 5. ==[ beta ]==> ((((a a)(a a)) b) b) REDUCED to normal form. ------ 144772/15392235. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(a ((a a) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(a ((a a) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a ((a a) a))) REDUCED to normal form. ------ 144773/15392316. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (b (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 144774/15392433. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 144775/15392460. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((b (^y.a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.a))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((b (^x.a))(a (^z.a))) 6. ==[ alpha ]==> ((b (^x.a))(a (^y.a))) REDUCED to normal form. ------ 144776/15392487. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 144777/15392550. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 144778/15392577. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 144779/15392604. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a b)((^y.a)(^z.a))) 6. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 144780/15392631. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 144781/15392658. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(^y.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 144782/15392739. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(c (^y.a))) 3. ==[ beta ]==> (((a a)(a b))(c (^y.a))) 4. ==[ alpha ]==> (((a a)(a b))(c (^x.a))) REDUCED to normal form. ------ 144783/15392766. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(b (^y.(y y)))) REDUCED to normal form. ------ 144784/15392820. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 144785/15392847. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((b a)((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> ((b a)((^x.a)(a (^y.y)))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 144786/15392874. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 144787/15392928. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 144788/15393018. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a (a a)))) 6. ==[ alpha ]==> ((^x.x)(a (a (a a)))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 144789/15393099. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a a)((^x.x) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 144790/15393324. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z)) b)) 5. ==[ beta ]==> (a ((^y.(^z.z)) b)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) b)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 144791/15393342. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 144792/15393369. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(c a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(c a)) 3. ==[ beta ]==> ((^y.y)(c a)) 4. ==[ alpha ]==> ((^x.x)(c a)) 5. ==[ beta ]==> (c a) REDUCED to normal form. ------ 144793/15393423. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(a c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(a c)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(a c)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(a c)) 5. ==[ beta ]==> ((b ((^y.y) b))(a c)) 6. ==[ alpha ]==> ((b ((^x.x) b))(a c)) 7. ==[ beta ]==> ((b b)(a c)) REDUCED to normal form. ------ 144794/15393432. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 144795/15393459. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((a a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((a a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a) b)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a) b)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144796/15393504. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((a a)(a a))) 3. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 144797/15393513. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 144798/15393540. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((a a)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 144799/15393567. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((a a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((a a) a)) REDUCED to normal form. ------ 144800/15393612. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(a a)) 3. ==[ beta ]==> ((^y.(^z.z))(a a)) 4. ==[ alpha ]==> ((^x.(^y.y))(a a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144801/15393620. ------ 1. ==[ start ]==> (^a.((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.((x (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 144802/15393621. ------ 1. ==[ start ]==> (a ((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 144803/15403221. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a))) b) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) b) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144804/15403230. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a))) a) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 144805/15403236. ------ 1. ==[ start ]==> ((^a.a)((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 144806/15403245. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144807/15403263. ------ 1. ==[ start ]==> ((^a.(a a))((b a)(^c.a))) 2. ==[ alpha ]==> ((^x.(x x))((b a)(^y.a))) 3. ==[ beta ]==> (((b a)(^y.a))((b a)(^y.a))) 4. ==[ alpha ]==> (((b a)(^x.a))((b a)(^y.a))) REDUCED to normal form. ------ 144808/15403290. ------ 1. ==[ start ]==> ((^a.b)(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(^z.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 144809/15403326. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144810/15403488. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(b (^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144811/15403560. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b (^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b (^z.z)) b)) 3. ==[ eta ]==> ((^y.y)((b (^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) b)) 5. ==[ beta ]==> ((b (^y.y)) b) 6. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 144812/15403731. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 144813/15403932. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.((^y.(^z.z)) x))) 3. ==[ eta ]==> (((a (a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 144814/15404613. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a (a a))(^y.(^z.(^x1.x1))))((a (a a))(^y.(^z.(^x1.x1)))))((a (a a))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a (a a))(^x.(^y.(^z.z))))((a (a a))(^x1.(^y1.(^z1.z1)))))((a (a a))(^x2.(^y2.(^z2.z2))))) REDUCED to normal form. ------ 144815/15404706. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (a (^z.(z (^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(x (^y.y)))) REDUCED to normal form. ------ 144816/15404946. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 144817/15405126. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(a a)) b)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a)) b)) 3. ==[ beta ]==> (((^y.(a a)) b) b) 4. ==[ alpha ]==> (((^x.(a a)) b) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 144818/15405444. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((a a)(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.((a a)(a a)))) 6. ==[ alpha ]==> ((^x.a)(^y.((a a)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 144819/15405513. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(((^z.z)(a (^x1.x1)))((^z.z)(a (^x1.x1))))) 4. ==[ alpha ]==> (^x.(((^y.y)(a (^z.z)))((^x1.x1)(a (^y1.y1))))) 5. ==[ beta ]==> (^x.((a (^z.z))((^x1.x1)(a (^y1.y1))))) 6. ==[ alpha ]==> (^x.((a (^y.y))((^z.z)(a (^x1.x1))))) 7. ==[ beta ]==> (^x.((a (^y.y))(a (^x1.x1)))) 8. ==[ alpha ]==> (^x.((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 144820/15405813. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)(^y1.((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 7. ==[ beta ]==> (^y.((a a)(a a))) 8. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 144821/15407700. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 144822/15408081. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 144823/15408378. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 144824/15408591. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144825/15408639. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(^d.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.a))) REDUCED to normal form. ------ 144826/15410349. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 144827/15410547. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(a b))) REDUCED to normal form. ------ 144828/15410985. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^c.a) b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a) b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 144829/15411456. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(^y1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.a))) REDUCED to normal form. ------ 144830/15411465. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.((x1 x1) x1))) REDUCED to normal form. ------ 144831/15412146. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a (a a)) a)) 3. ==[ eta ]==> ((^y.(^z.z))((a (a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144832/15412239. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 144833/15412320. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^d.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (b (^x1.(^y1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 144834/15412428. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144835/15412590. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 144836/15412644. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(a (^z.z)))) 7. ==[ beta ]==> ((b b)(^y.(a (^z.z)))) 8. ==[ alpha ]==> ((b b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 144837/15412653. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^a.c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.c)) REDUCED to normal form. ------ 144838/15412734. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 144839/15412788. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^a.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.b)) REDUCED to normal form. ------ 144840/15412833. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144841/15412842. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 144842/15412854. ------ 1. ==[ start ]==> ((a a)((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 144843/15412863. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 144844/15412881. ------ 1. ==[ start ]==> ((a (a a))((b a)(^c.a))) 2. ==[ alpha ]==> ((a (a a))((b a)(^x.a))) REDUCED to normal form. ------ 144845/15412908. ------ 1. ==[ start ]==> ((a b)(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.b))) REDUCED to normal form. ------ 144846/15412944. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 144847/15412962. ------ 1. ==[ start ]==> (((a a)(a a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 144848/15413025. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144849/15413052. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z) b))) 5. ==[ beta ]==> ((a (^x.x))(((^z.z) b)((^z.z) b))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)((^z.z) b))) 7. ==[ beta ]==> ((a (^x.x))(b ((^z.z) b))) 8. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) b))) 9. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 144850/15413079. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(a a)))) 5. ==[ beta ]==> ((^y.a)((a a)(a a))) 6. ==[ alpha ]==> ((^x.a)((a a)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 144851/15413106. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 144852/15413151. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 144853/15413178. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b (^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))((b (^y.y)) b)) 3. ==[ beta ]==> ((a a)((b (^y.y)) b)) 4. ==[ alpha ]==> ((a a)((b (^x.x)) b)) REDUCED to normal form. ------ 144854/15413268. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 144855/15413349. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 144856/15413457. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.z))) 5. ==[ beta ]==> (((^y.(y y))(^z.z))((^y.(y y))(^z.z))) 6. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.x1))) 7. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 11. ==[ beta ]==> ((^y.(y y))(^z.z)) 12. ==[ alpha ]==> ((^x.(x x))(^y.y)) 13. ==[ beta ]==> ((^y.y)(^y.y)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144857/15413484. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 144858/15413520. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b (b (^y.y)))) 3. ==[ beta ]==> ((a b)(b (b (^y.y)))) 4. ==[ alpha ]==> ((a b)(b (b (^x.x)))) REDUCED to normal form. ------ 144859/15413547. ------ 1. ==[ start ]==> (((a (a a)) a)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (a a)) a)(a ((^x.(^y.y)) a))) 3. ==[ beta ]==> (((a (a a)) a)(a (^y.y))) 4. ==[ alpha ]==> (((a (a a)) a)(a (^x.x))) REDUCED to normal form. ------ 144860/15413574. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b (^y.y))(a a))) REDUCED to normal form. ------ 144861/15413601. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(a a))(a (^z.z)))) REDUCED to normal form. ------ 144862/15413628. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) b)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) b)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b ((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z) a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 144863/15413655. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 144864/15413763. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b)((^y.y)(a a)))) 3. ==[ beta ]==> ((b b)((a b)((^y.y)(a a)))) 4. ==[ alpha ]==> ((b b)((a b)((^x.x)(a a)))) 5. ==[ beta ]==> ((b b)((a b)(a a))) REDUCED to normal form. ------ 144865/15413898. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 144866/15413925. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a a)(b (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)((a a)(b (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(b (^y.y)))) 5. ==[ beta ]==> (a ((a a)(b (^y.y)))) 6. ==[ alpha ]==> (a ((a a)(b (^x.x)))) REDUCED to normal form. ------ 144867/15414024. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) a)) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 144868/15414123. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(^y.b))) REDUCED to normal form. ------ 144869/15414150. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(^z.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a a)((a b)(^y.(a a)))) 6. ==[ alpha ]==> ((a a)((a b)(^x.(a a)))) REDUCED to normal form. ------ 144870/15414231. ------ 1. ==[ start ]==> ((a ((a a) a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 144871/15414267. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 144872/15414321. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(b (^x1.x1)))) 5. ==[ beta ]==> (a ((^z.z)(b (^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.x)(b (^y.y)))) 7. ==[ beta ]==> (a (b (^y.y))) 8. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 144873/15414402. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 144874/15414429. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144875/15414564. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 144876/15414735. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b) a)(((a a)(a a))(a a))) 3. ==[ beta ]==> (b (((a a)(a a))(a a))) REDUCED to normal form. ------ 144877/15414744. ------ 1. ==[ start ]==> ((a (a b))((^c.(a a)) b)) 2. ==[ alpha ]==> ((a (a b))((^x.(a a)) b)) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 144878/15414897. ------ 1. ==[ start ]==> ((((a a) a) b)((a b)(a b))) REDUCED to normal form. ------ 144879/15414924. ------ 1. ==[ start ]==> (((a b) a)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) a)(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) a)(((a a) a)(a a))) REDUCED to normal form. ------ 144880/15414951. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.b))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 144881/15415005. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 144882/15415032. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a (^y.y)) b)) REDUCED to normal form. ------ 144883/15415059. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)((a a)(a a)))) 5. ==[ beta ]==> ((^y.a)((a a)((a a)(a a)))) 6. ==[ alpha ]==> ((^x.a)((a a)((a a)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 144884/15415104. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a))(a a))) 3. ==[ beta ]==> (b ((^y.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 144885/15415131. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 144886/15415149. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 144887/15415176. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((b a)(^y.(y y)))) REDUCED to normal form. ------ 144888/15415203. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 144889/15415257. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a b)(^x1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(^z.b))) 5. ==[ beta ]==> (((^y.y) a)((a b)(^z.b))) 6. ==[ alpha ]==> (((^x.x) a)((a b)(^y.b))) 7. ==[ beta ]==> (a ((a b)(^y.b))) 8. ==[ alpha ]==> (a ((a b)(^x.b))) REDUCED to normal form. ------ 144890/15415284. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 144891/15415311. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 144892/15415347. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(b a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))(b a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(b a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 144893/15415374. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 144894/15415428. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(a a)))) 7. ==[ beta ]==> ((^y.y)((a a)(a a))) 8. ==[ alpha ]==> ((^x.x)((a a)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 144895/15415509. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> (b ((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 144896/15415590. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 144897/15415725. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 144898/15415734. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 144899/15415761. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b ((^z.z) b))) 3. ==[ beta ]==> (((a a)(^y.y))(b ((^z.z) b))) 4. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y) b))) 5. ==[ beta ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 144900/15415824. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y) b)) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 144901/15415950. ------ 1. ==[ start ]==> (((^a.b) c)((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)((a b)((a a) a))) 3. ==[ beta ]==> (b ((a b)((a a) a))) REDUCED to normal form. ------ 144902/15416184. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 144903/15416265. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 144904/15416292. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a) a))) 5. ==[ beta ]==> ((^y.b)((a a) a)) 6. ==[ alpha ]==> ((^x.b)((a a) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 144905/15416346. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 144906/15416427. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 144907/15416526. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((b a) c)) REDUCED to normal form. ------ 144908/15417003. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a (a a))(a a))) REDUCED to normal form. ------ 144909/15417048. ------ 1. ==[ start ]==> (((^a.a)(b a))(c (^d.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(c (^y.a))) 3. ==[ beta ]==> ((b a)(c (^y.a))) 4. ==[ alpha ]==> ((b a)(c (^x.a))) REDUCED to normal form. ------ 144910/15417075. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 144911/15417129. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 144912/15417210. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 144913/15417318. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(((^y1.y1)(a a))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(a a))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 144914/15417336. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 144915/15417390. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 144916/15417417. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 144917/15417444. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((b a) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))((b a) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((b a) b)) 5. ==[ beta ]==> (((a a) a)((b a) b)) REDUCED to normal form. ------ 144918/15417615. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144919/15417696. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a a)((^z.z)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 144920/15417894. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a))(a b))) REDUCED to normal form. ------ 144921/15417921. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a ((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 144922/15417939. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 144923/15417993. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 144924/15418074. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 144925/15418182. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144926/15418209. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 144927/15418281. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((b a) a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((b a) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((b a) a)) REDUCED to normal form. ------ 144928/15418308. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((a a)(^y.y)) b)) 3. ==[ beta ]==> (((a (a a))(a a))(((a a)(^y.y)) b)) 4. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 144929/15418335. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a)) c)) 5. ==[ beta ]==> ((a b)(((^y.y)(a a)) c)) 6. ==[ alpha ]==> ((a b)(((^x.x)(a a)) c)) 7. ==[ beta ]==> ((a b)((a a) c)) REDUCED to normal form. ------ 144930/15418488. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(c ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144931/15418857. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.(a a))(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 144932/15418884. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.b)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 144933/15418938. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 144934/15419019. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 144935/15419127. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.b)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144936/15419334. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(a b))(a a)) REDUCED to normal form. ------ 144937/15419361. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.b) c)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.b) c)) 3. ==[ beta ]==> (((a b)((a a) a)) b) REDUCED to normal form. ------ 144938/15419559. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 144939/15419694. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)((a a) a))) 3. ==[ beta ]==> (b ((^z.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 144940/15419802. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144941/15419883. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 144942/15419910. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 144943/15419919. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c ((a a) a))) REDUCED to normal form. ------ 144944/15419946. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b (a b))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b (a b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (a b))) REDUCED to normal form. ------ 144945/15419964. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((b a)(b a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((b a)(b a))(^y.(a a))) 6. ==[ alpha ]==> (((b a)(b a))(^x.(a a))) REDUCED to normal form. ------ 144946/15420027. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 144947/15420054. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.b))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.b))((^z.z) a)) 6. ==[ alpha ]==> (((a b)(^x.b))((^y.y) a)) 7. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 144948/15420108. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 144949/15420153. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(b (^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144950/15420162. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a)(a b))) REDUCED to normal form. ------ 144951/15420252. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a)((a a)(a a)))(^y.a)) 6. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.a)) REDUCED to normal form. ------ 144952/15420279. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 144953/15420306. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 144954/15420333. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 144955/15420360. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(^z.b))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.b))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 144956/15420387. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a b) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a b) a)) 3. ==[ beta ]==> ((((a a) a)(a a))((a b) a)) REDUCED to normal form. ------ 144957/15420414. ------ 1. ==[ start ]==> (((a b)(a b))(((a a) a) b)) REDUCED to normal form. ------ 144958/15420576. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.b) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.b) a)) 3. ==[ beta ]==> ((((a a)(a a))(a a)) b) REDUCED to normal form. ------ 144959/15420603. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^c.a) b)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a) b)) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 144960/15420774. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a)(a a))) 3. ==[ beta ]==> (b ((^z.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 144961/15420882. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144962/15420990. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((b (^x.x))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 144963/15421017. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 144964/15421053. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 144965/15421080. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a ((a a) a))) REDUCED to normal form. ------ 144966/15421161. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.(a a)))(a a)) REDUCED to normal form. ------ 144967/15421188. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.b))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 144968/15421260. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144969/15421386. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a a)(b (^x.x)))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y) a)) 5. ==[ beta ]==> (((a a)(b (^x.x))) a) REDUCED to normal form. ------ 144970/15421413. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (a a)) b)) REDUCED to normal form. ------ 144971/15421440. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(((^z.z) a) c)) 3. ==[ beta ]==> ((a ((^y.y) b))(((^z.z) a) c)) 4. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a) c)) 5. ==[ beta ]==> ((a b)(((^y.y) a) c)) 6. ==[ alpha ]==> ((a b)(((^x.x) a) c)) 7. ==[ beta ]==> ((a b)(a c)) REDUCED to normal form. ------ 144972/15421521. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 144973/15421548. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a b)(a a))((^y.(y y)) b)) 4. ==[ alpha ]==> (((a b)(a a))((^x.(x x)) b)) 5. ==[ beta ]==> (((a b)(a a))(b b)) REDUCED to normal form. ------ 144974/15421575. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.a) c)) 3. ==[ beta ]==> (((a a)(a b))((^y.a) c)) 4. ==[ alpha ]==> (((a a)(a b))((^x.a) c)) 5. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 144975/15421656. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (a a))(^z.z))) REDUCED to normal form. ------ 144976/15421683. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((b a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 144977/15421710. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 144978/15421764. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a (a a)) a)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a (a a)) a)) 3. ==[ beta ]==> ((a (^y.y))((a (a a)) a)) 4. ==[ alpha ]==> ((a (^x.x))((a (a a)) a)) REDUCED to normal form. ------ 144979/15421854. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 7. ==[ beta ]==> ((^y.y)(^z.(z z))) 8. ==[ alpha ]==> ((^x.x)(^y.(y y))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 144980/15421935. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (b (b (^x1.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 144981/15422043. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144982/15422160. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((a (^z.z))(a a))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))(a a))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(a a))) 5. ==[ beta ]==> (a ((a (^y.y))(a a))) 6. ==[ alpha ]==> (a ((a (^x.x))(a a))) REDUCED to normal form. ------ 144983/15422178. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 144984/15422205. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(a (^x1.a))) 3. ==[ beta ]==> ((^y.y)(a (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 144985/15422259. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((b b)((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> ((b b)((^x.x)(a (^y.y)))) 9. ==[ beta ]==> ((b b)(a (^y.y))) 10. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 144986/15422268. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(a c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a c)) REDUCED to normal form. ------ 144987/15422295. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(b (a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(b (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144988/15422340. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(b (^z.z))) 3. ==[ beta ]==> (b (b (^z.z))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 144989/15422349. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 144990/15422376. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(b a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(b a)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(b a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(b a)) REDUCED to normal form. ------ 144991/15422403. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(a b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(a b)) REDUCED to normal form. ------ 144992/15422448. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(a (^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144993/15422457. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(a a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 144994/15432075. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a))) b) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 144995/15432099. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144996/15432180. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144997/15432381. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (^y.((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 144998/15433035. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 144999/15433560. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 145000/15433956. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(b (^y.y)))) REDUCED to normal form. ------ 145001/15433980. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(a a)) b) REDUCED to normal form. ------ 145002/15434367. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((((^z.z) b)(^x1.(^y1.y1)))(((^z.z) b)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((((^y.y) b)(^z.(^x1.x1)))(((^y1.y1) b)(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.((b (^z.(^x1.x1)))(((^y1.y1) b)(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.((b (^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^x.((b (^y.(^z.z)))(b (^y1.(^z1.z1))))) 8. ==[ alpha ]==> (^x.((b (^y.(^z.z)))(b (^x1.(^y1.y1))))) REDUCED to normal form. ------ 145003/15434667. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 7. ==[ beta ]==> (^y.(^z.(a a))) 8. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 145004/15435036. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((y y)(y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((y y)(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((x x)(x x)))) REDUCED to normal form. ------ 145005/15435249. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((((^z.z)(^x1.x1))((^y1.y1)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a))))(^x2.x2)) 5. ==[ beta ]==> ((((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a))))(^x2.x2)) 6. ==[ alpha ]==> ((((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a))))(^z1.z1)) 7. ==[ beta ]==> ((((^y.y)(a a))(((^z.z)(^x1.x1))((^y1.y1)(a a))))(^z1.z1)) 8. ==[ alpha ]==> ((((^x.x)(a a))(((^y.y)(^z.z))((^x1.x1)(a a))))(^y1.y1)) 9. ==[ beta ]==> (((a a)(((^y.y)(^z.z))((^x1.x1)(a a))))(^y1.y1)) 10. ==[ alpha ]==> (((a a)(((^x.x)(^y.y))((^z.z)(a a))))(^x1.x1)) 11. ==[ beta ]==> (((a a)((^y.y)((^z.z)(a a))))(^x1.x1)) 12. ==[ alpha ]==> (((a a)((^x.x)((^y.y)(a a))))(^z.z)) 13. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.z)) 14. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.y)) 15. ==[ beta ]==> (((a a)(a a))(^y.y)) 16. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 145006/15435702. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 145007/15436005. ------ 1. ==[ start ]==> ((^a.(b a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))(b (a (^y.(^z.z))))) 3. ==[ eta ]==> (b (b (a (^y.(^z.z))))) 4. ==[ alpha ]==> (b (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 145008/15436350. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 145009/15436554. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 145010/15437241. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 145011/15437445. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145012/15437760. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 145013/15438294. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 145014/15438546. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.((y y)(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.((y y)(^z.z)))) 8. ==[ alpha ]==> ((a a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 145015/15438759. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a)((^y.y)(a a)))((a a)((^y.y)(a a))))(((a a)((^y.y)(a a)))((a a)((^y.y)(a a))))) 4. ==[ alpha ]==> ((((a a)((^x.x)(a a)))((a a)((^y.y)(a a))))(((a a)((^z.z)(a a)))((a a)((^x1.x1)(a a))))) 5. ==[ beta ]==> ((((a a)(a a))((a a)((^y.y)(a a))))(((a a)((^z.z)(a a)))((a a)((^x1.x1)(a a))))) 6. ==[ alpha ]==> ((((a a)(a a))((a a)((^x.x)(a a))))(((a a)((^y.y)(a a)))((a a)((^z.z)(a a))))) 7. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))(((a a)((^y.y)(a a)))((a a)((^z.z)(a a))))) 8. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))(((a a)((^x.x)(a a)))((a a)((^y.y)(a a))))) 9. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))(((a a)(a a))((a a)((^y.y)(a a))))) 10. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))(((a a)(a a))((a a)((^x.x)(a a))))) 11. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 145016/15439428. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 145017/15439815. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^a.(a b))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(x b))) REDUCED to normal form. ------ 145018/15439839. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((a a) a)(a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145019/15440157. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.((a a) a))) 3. ==[ beta ]==> ((b c)(^y.((a a) a))) 4. ==[ alpha ]==> ((b c)(^x.((a a) a))) REDUCED to normal form. ------ 145020/15440319. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.a))) REDUCED to normal form. ------ 145021/15440760. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 145022/15441093. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^c.d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.d)) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.d)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.d)) 5. ==[ beta ]==> ((^y.y)(^z.d)) 6. ==[ alpha ]==> ((^x.x)(^y.d)) 7. ==[ beta ]==> (^y.d) 8. ==[ alpha ]==> (^x.d) REDUCED to normal form. ------ 145023/15441282. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145024/15441444. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.c)) 3. ==[ beta ]==> ((^y.y)(^x1.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 145025/15441498. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b b)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((b b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 145026/15441507. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 145027/15441588. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^d.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 145028/15441615. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 145029/15441642. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(a a))) REDUCED to normal form. ------ 145030/15441687. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145031/15441696. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.z1))) REDUCED to normal form. ------ 145032/15441726. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 145033/15441735. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 145034/15441753. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 145035/15441780. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(^z.b))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.b))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.b))) REDUCED to normal form. ------ 145036/15441807. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 145037/15441816. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 145038/15441843. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.b)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 145039/15441870. ------ 1. ==[ start ]==> (((a a) b)((^c.a)(b a))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(b a))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 145040/15441888. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 145041/15441897. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 145042/15441915. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 145043/15441924. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((^x1.x1) b)((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b)((^x1.x1) b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(b ((^x1.x1) b))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((^z.z) b))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 145044/15441951. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 145045/15442005. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145046/15442050. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b (^z.z)) b)) 3. ==[ beta ]==> ((^y.a)((b (^z.z)) b)) 4. ==[ alpha ]==> ((^x.a)((b (^y.y)) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 145047/15442086. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 145048/15442113. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 145049/15442140. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 145050/15442302. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 145051/15442554. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((b a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))((b a)(^y.y))) 4. ==[ alpha ]==> (((a a)(a (a a)))((b a)(^x.x))) REDUCED to normal form. ------ 145052/15442581. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 145053/15442608. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))(a b))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a)(a b))) REDUCED to normal form. ------ 145054/15442635. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((a b)((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((a b)(a a))) REDUCED to normal form. ------ 145055/15442662. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 145056/15442761. ------ 1. ==[ start ]==> (((a (a a)) b)(c (^c.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(c (^x.(a a)))) REDUCED to normal form. ------ 145057/15442833. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 145058/15442869. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 145059/15442887. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b (^x1.a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.a))) REDUCED to normal form. ------ 145060/15442896. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 145061/15442923. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.(^z1.z1)))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145062/15443130. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 145063/15443265. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) b) c)) 3. ==[ beta ]==> (((a a) a)(((^y.y) b) c)) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b) c)) 5. ==[ beta ]==> (((a a) a)(b c)) REDUCED to normal form. ------ 145064/15443301. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 145065/15443355. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 145066/15443382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145067/15443409. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 145068/15443553. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b ((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(b ((a a)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(b ((a a)(a a)))) REDUCED to normal form. ------ 145069/15443580. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(a (b (^x.x)))) REDUCED to normal form. ------ 145070/15443607. ------ 1. ==[ start ]==> ((a (a b))(((a a)(a a))(a a))) REDUCED to normal form. ------ 145071/15443616. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a)) b)) 3. ==[ beta ]==> ((^y.b)((^z.(a a)) b)) 4. ==[ alpha ]==> ((^x.b)((^y.(a a)) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 145072/15443922. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(b (^z.(a a)))) 6. ==[ alpha ]==> ((^x.a)(b (^y.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 145073/15443967. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> (b (((a a)(a a))(^y.y))) 4. ==[ alpha ]==> (b (((a a)(a a))(^x.x))) REDUCED to normal form. ------ 145074/15443976. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 145075/15443994. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 145076/15444165. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 145077/15444237. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 145078/15444291. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 145079/15444372. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (b ((a (^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 145080/15444381. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 145081/15444435. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 145082/15444462. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 145083/15444516. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 145084/15444543. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145085/15444597. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 145086/15444624. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 145087/15444660. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(a ((a a)(a a)))) REDUCED to normal form. ------ 145088/15444687. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(b (a a))) REDUCED to normal form. ------ 145089/15444714. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 145090/15444741. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((b a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((b a)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))((b a) a)) REDUCED to normal form. ------ 145091/15444768. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(a (a a)))) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 145092/15444795. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a)((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((((a a) a) a)((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((((a a) a) a)((a a)(^y.y))) 8. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.x))) REDUCED to normal form. ------ 145093/15444822. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)((a a) a))) REDUCED to normal form. ------ 145094/15444849. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a) a)(a b))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(a b))) REDUCED to normal form. ------ 145095/15444876. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(a a))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a a))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 145096/15445047. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 145097/15445056. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b) c)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 145098/15445128. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 145099/15445155. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 145100/15445164. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 145101/15445191. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(a b))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(a b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(a b))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 145102/15445209. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(a a))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 145103/15445245. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((a a)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145104/15445272. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 145105/15445290. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 145106/15445299. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 145107/15445326. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) b)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) b)) 7. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 145108/15445353. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 145109/15445632. ------ 1. ==[ start ]==> ((a (b a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 145110/15445974. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (^z.z))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 145111/15445992. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 145112/15446001. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 145113/15446055. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 145114/15446073. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (b ((a a)(^y.(y y)))) 6. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 145115/15446082. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 145116/15446109. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 145117/15446181. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(^x1.(a a)))) REDUCED to normal form. ------ 145118/15446460. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145119/15446640. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145120/15446865. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 145121/15446937. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (b ((a a)(^y.a))) 6. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 145122/15446946. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 145123/15446973. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 145124/15447000. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 145125/15447045. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (a a))(^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145126/15447054. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a b)(a b))) REDUCED to normal form. ------ 145127/15447072. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 145128/15447351. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145129/15447387. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b ((a a)(^y.y)))) 3. ==[ beta ]==> ((a b)(b ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a b)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 145130/15447702. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 145131/15447720. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (((^y.y)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 145132/15447729. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 145133/15447747. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 145134/15447756. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.b)((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 145135/15447801. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 145136/15447837. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.(z z))((a a) a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(y y))((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 145137/15447864. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 145138/15447882. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 145139/15447891. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 145140/15447918. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 145141/15447990. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145142/15447999. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.b)(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 145143/15448026. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 145144/15448116. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c (a b))) 3. ==[ beta ]==> ((a (b a))(c (a b))) REDUCED to normal form. ------ 145145/15448143. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(b (a a))) REDUCED to normal form. ------ 145146/15448170. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a ((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> (((^x.x)(a a))(a ((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)(a ((a a)(^y.y)))) 8. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 145147/15448197. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(a b))((a a)(a a))) REDUCED to normal form. ------ 145148/15448224. ------ 1. ==[ start ]==> (((a b)((a a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 145149/15448251. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))(((a a) a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 145150/15448278. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a (a a))) REDUCED to normal form. ------ 145151/15448332. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a ((a a) a))) REDUCED to normal form. ------ 145152/15448359. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (^y.y))(a b))) 3. ==[ beta ]==> ((b (a a))((a (^y.y))(a b))) 4. ==[ alpha ]==> ((b (a a))((a (^x.x))(a b))) REDUCED to normal form. ------ 145153/15448386. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((a a)(a a))) REDUCED to normal form. ------ 145154/15448422. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 145155/15448557. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 145156/15448665. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145157/15448701. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)(^z.a))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 145158/15448728. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 145159/15448782. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 145160/15448809. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.b))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 145161/15448908. ------ 1. ==[ start ]==> (((^a.b)(a b))((^c.a) c)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 145162/15449025. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b (^x1.b))) REDUCED to normal form. ------ 145163/15449052. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 145164/15449079. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.b)(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) b) REDUCED to normal form. ------ 145165/15449412. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b ((a a) a))) 3. ==[ beta ]==> ((b (a (^y.y)))(b ((a a) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(b ((a a) a))) REDUCED to normal form. ------ 145166/15449439. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(a (a b))) REDUCED to normal form. ------ 145167/15449466. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 145168/15449637. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((a a) a)(^z.z))) 3. ==[ beta ]==> (b (((a a) a)(^z.z))) 4. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 145169/15449745. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145170/15449781. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y)((a a) a))) 3. ==[ beta ]==> ((b c)((^y.y)((a a) a))) 4. ==[ alpha ]==> ((b c)((^x.x)((a a) a))) 5. ==[ beta ]==> ((b c)((a a) a)) REDUCED to normal form. ------ 145171/15449808. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a)(^y.y))) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 145172/15449853. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (a a)) c)) 3. ==[ beta ]==> ((b (^y.y))((a (a a)) c)) 4. ==[ alpha ]==> ((b (^x.x))((a (a a)) c)) REDUCED to normal form. ------ 145173/15449916. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 145174/15450015. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(z z)) c)) 3. ==[ beta ]==> (b ((^z.(z z)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 145175/15450051. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(c (^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.b))(c (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.b))(c (^y.(y y)))) REDUCED to normal form. ------ 145176/15450123. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145177/15450132. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 145178/15450159. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((b (^x.a))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((b (^x.a))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 145179/15450186. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 145180/15450357. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y)(b a))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(b a))(b (a (a a)))) 5. ==[ beta ]==> ((b a)(b (a (a a)))) REDUCED to normal form. ------ 145181/15450384. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 145182/15450411. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (a a))(a a))) 3. ==[ beta ]==> (((a b)(a a))((a (a a))(a a))) REDUCED to normal form. ------ 145183/15450438. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a b))(a (a (^y.y)))) 6. ==[ alpha ]==> (((a a)(a b))(a (a (^x.x)))) REDUCED to normal form. ------ 145184/15450465. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))((a (^y.y)) a)) REDUCED to normal form. ------ 145185/15450798. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145186/15450906. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145187/15451041. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 7. ==[ beta ]==> ((^y.(^z.z)) b) 8. ==[ alpha ]==> ((^x.(^y.y)) b) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145188/15451068. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 145189/15451122. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b ((^y.y) b))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))((a a)(^y.(^z.z)))) 7. ==[ beta ]==> ((b b)((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((b b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 145190/15451131. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 145191/15451158. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.y2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.y2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145192/15451203. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145193/15451212. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 145194/15451239. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 145195/15451266. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.z)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 145196/15451311. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((^z1.z1) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145197/15451320. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.y1))) REDUCED to normal form. ------ 145198/15451337. ------ 1. ==[ start ]==> (^a.((^b.b)(a (a a)))) 2. ==[ alpha ]==> (^x.((^y.y)(x (x x)))) 3. ==[ beta ]==> (^x.(x (x x))) REDUCED to normal form. ------ 145199/15451338. ------ 1. ==[ start ]==> (a ((^b.b)(a (a a)))) 2. ==[ alpha ]==> (a ((^x.x)(a (a a)))) 3. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 145200/15460251. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(a (a a)))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145201/15460947. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a))) c) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) c) REDUCED to normal form. ------ 145202/15460971. ------ 1. ==[ start ]==> ((^a.a)((^b.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(a (a a))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 145203/15460998. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((^z1.(^x2.(^y2.y2)))((^z2.z2)(^x3.x3)))) 5. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.(^y2.y2)))((^z2.z2)(^x3.x3)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145204/15461106. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^z.b)((a a)(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145205/15461271. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 145206/15461565. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.(^z1.z1))))(((^y.(^z.z))(^x1.(^y1.(^z1.z1))))((^y.(^z.z))(^x1.(^y1.(^z1.z1)))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3))))((^y3.(^z3.z3))(^x4.(^y4.(^z4.z4)))))) 5. ==[ beta ]==> ((^y.y)(((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3))))((^y3.(^z3.z3))(^x4.(^y4.(^z4.z4)))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(^z2.(^x3.(^y3.y3)))))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(^z2.(^x3.(^y3.y3))))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3))))) 9. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3))))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145207/15461685. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((^x.x)(a (a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.z))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 145208/15461790. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145209/15462348. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((((^y.(^z.z))(b a))((^y.(^z.z))(b a)))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((((^x.(^y.y))(b a))((^z.(^x1.x1))(b a)))((^y1.(^z1.z1))(b a))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(b a)))((^y1.(^z1.z1))(b a))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(b a)))((^x1.(^y1.y1))(b a))) 7. ==[ beta ]==> (((^y.(^z.z))(b a))((^x1.(^y1.y1))(b a))) 8. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(b a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 11. ==[ beta ]==> ((^y.(^z.z))(b a)) 12. ==[ alpha ]==> ((^x.(^y.y))(b a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145210/15463455. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))((a a)(^y1.y1)))((^z.(^x1.x1))((a a)(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((a a)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2))))) 5. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 10. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145211/15463917. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 145212/15464886. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145213/15465537. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 145214/15465723. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(^z1.b))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145215/15466401. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(z a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(z a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(y a))) REDUCED to normal form. ------ 145216/15466641. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 145217/15466680. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(b z1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1)))) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 145218/15467175. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 145219/15467427. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 145220/15467640. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b (^y.(a a)))) 3. ==[ beta ]==> (((b (^y.(a a)))(b (^y.(a a))))((b (^y.(a a)))(b (^y.(a a))))) 4. ==[ alpha ]==> (((b (^x.(a a)))(b (^y.(a a))))((b (^z.(a a)))(b (^x1.(a a))))) REDUCED to normal form. ------ 145221/15468507. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(a y))) 3. ==[ eta ]==> ((((a a) a)((^x.x)(a a))) a) 4. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 145222/15468696. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(^y.x))) REDUCED to normal form. ------ 145223/15469038. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.a))) 3. ==[ beta ]==> ((b c)(^y.(^z.a))) 4. ==[ alpha ]==> ((b c)(^x.(^y.a))) REDUCED to normal form. ------ 145224/15469506. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 145225/15469641. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 145226/15469776. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 145227/15469881. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.x1)(a (a a)))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145228/15469884. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 145229/15470325. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 5. ==[ beta ]==> (^y.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 145230/15470388. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 145231/15470460. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 145232/15470496. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 145233/15470523. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 145234/15470568. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.(z1 z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(z1 z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145235/15470577. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.a)) REDUCED to normal form. ------ 145236/15470607. ------ 1. ==[ start ]==> ((a a)((^b.b)(a (a a)))) 2. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 3. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 145237/15470625. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (a ((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 145238/15470634. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 145239/15470652. ------ 1. ==[ start ]==> (((a a) a)((b a)(^c.a))) 2. ==[ alpha ]==> (((a a) a)((b a)(^x.a))) REDUCED to normal form. ------ 145240/15470679. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.b))) REDUCED to normal form. ------ 145241/15470706. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(a a)))) 5. ==[ beta ]==> (b ((a a)(^y.(a a)))) 6. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 145242/15470715. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 145243/15470733. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 145244/15470742. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 145245/15470787. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 145246/15470814. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 145247/15470877. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 145248/15470904. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 145249/15470976. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(a a)) c)) REDUCED to normal form. ------ 145250/15471120. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 145251/15471147. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 145252/15471201. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 145253/15471291. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (b (^z.z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (b (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (b (^z.z)))) 5. ==[ beta ]==> ((^y.y)(b (b (^z.z)))) 6. ==[ alpha ]==> ((^x.x)(b (b (^y.y)))) 7. ==[ beta ]==> (b (b (^y.y))) 8. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 145254/15471318. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a (a a))(a ((^y.(^z.z)) a))) 4. ==[ alpha ]==> ((a (a a))(a ((^x.(^y.y)) a))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 145255/15471345. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((b (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(a a))) 5. ==[ beta ]==> ((b (^y.y))(a a)) 6. ==[ alpha ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 145256/15471399. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) b)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) b)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))(b ((^y.y) a))) 6. ==[ alpha ]==> (((a a)(a a))(b ((^x.x) a))) 7. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 145257/15471426. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a (a a)))) REDUCED to normal form. ------ 145258/15471561. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145259/15471588. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 145260/15471642. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1) b))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1) b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 7. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 8. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 9. ==[ beta ]==> (a ((^y.y) b)) 10. ==[ alpha ]==> (a ((^x.x) b)) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 145261/15471696. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(b (^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(b (^z.z)))) 6. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 7. ==[ beta ]==> ((a a)(b (^y.y))) 8. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 145262/15471732. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b (^z.z))(^x1.x1))) REDUCED to normal form. ------ 145263/15471759. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 145264/15471786. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b (^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 145265/15471813. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 145266/15471903. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(a b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(a b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(a b))) 5. ==[ beta ]==> ((a a)((^y.(a a))(a b))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a b))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 145267/15471930. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 145268/15471984. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(b a))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 145269/15472110. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((b (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((b (^z.z)) a)) 3. ==[ beta ]==> (((^y.y) b)((b (^z.z)) a)) 4. ==[ alpha ]==> (((^x.x) b)((b (^y.y)) a)) 5. ==[ beta ]==> (b ((b (^y.y)) a)) 6. ==[ alpha ]==> (b ((b (^x.x)) a)) REDUCED to normal form. ------ 145270/15472137. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(a a)) b)) REDUCED to normal form. ------ 145271/15472389. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a (a a)))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 145272/15472416. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.y))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 145273/15472506. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.b)(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.b)(((a a)(a a))(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 145274/15472587. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((b a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)(a (a a)))) IRREDUCIBLE: cycle. ------ 145275/15472668. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b)(a b))) 3. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 145276/15472695. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)(((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a b)(((a a) a)(a a))) REDUCED to normal form. ------ 145277/15472722. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 145278/15472776. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 145279/15472866. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 145280/15472902. ------ 1. ==[ start ]==> (((a a)(a b))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a b))(a (^y.y))) 4. ==[ alpha ]==> (((a a)(a b))(a (^x.x))) REDUCED to normal form. ------ 145281/15472929. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 145282/15473010. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a))((a a) a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a))((a a) a))) 7. ==[ beta ]==> (a ((^y.(a a))((a a) a))) 8. ==[ alpha ]==> (a ((^x.(a a))((a a) a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 145283/15473037. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b)(a b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 145284/15473055. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 145285/15473064. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 145286/15473091. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 145287/15473271. ------ 1. ==[ start ]==> (((a b) b)((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a b) b)((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 145288/15473802. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (a a))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 145289/15473946. ------ 1. ==[ start ]==> (((a b) c)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 145290/15473973. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((b a)(^y.a))) 3. ==[ beta ]==> (((a a) b)((b a)(^y.a))) 4. ==[ alpha ]==> (((a a) b)((b a)(^x.a))) REDUCED to normal form. ------ 145291/15474000. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 145292/15474054. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b)(^z.a))) REDUCED to normal form. ------ 145293/15474081. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((a (^y.b))(((a a) a)(^z.b))) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.b))) REDUCED to normal form. ------ 145294/15474135. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145295/15474189. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 145296/15474216. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 145297/15474243. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) b) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 145298/15474279. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 145299/15474333. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 145300/15474360. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 145301/15474387. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.a))) 7. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 8. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 9. ==[ beta ]==> ((^y.b)(^z.a)) 10. ==[ alpha ]==> ((^x.b)(^y.a)) 11. ==[ beta ]==> b REDUCED to normal form. ------ 145302/15474441. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 145303/15474522. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 145304/15474612. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((b a)(a (^z.z)))) 5. ==[ beta ]==> (b ((b a)(a (^z.z)))) 6. ==[ alpha ]==> (b ((b a)(a (^x.x)))) REDUCED to normal form. ------ 145305/15474693. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a b)(^y.y))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 145306/15474801. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((b a)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((b a)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((b a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 145307/15474828. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 145308/15474891. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 145309/15474945. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 145310/15474972. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 145311/15474999. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 145312/15475089. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(b a))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(b a))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(b a))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a)(b a))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a a)(b a))((a a)(a a))) REDUCED to normal form. ------ 145313/15475116. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 145314/15475143. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(b a))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(b a))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 145315/15475170. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a))(a b))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 145316/15475197. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 145317/15475251. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 145318/15475278. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.(z z)))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 145319/15475305. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 145320/15475359. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 145321/15475449. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b (b a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b (b a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b (b a))) 5. ==[ beta ]==> ((a a)(b (b a))) REDUCED to normal form. ------ 145322/15475530. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b (((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 145323/15475638. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1)(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145324/15475665. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (a a))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 145325/15475692. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 145326/15475746. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a)(b a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a)(b a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)(b a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)(b a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(b a))) 7. ==[ beta ]==> (((a a)(a a))((a a)(b a))) REDUCED to normal form. ------ 145327/15475782. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((b a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.b))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((b a)(^z.z))) 5. ==[ beta ]==> ((^y.b)((b a)(^z.z))) 6. ==[ alpha ]==> ((^x.b)((b a)(^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 145328/15475836. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 145329/15475863. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 145330/15475890. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 145331/15475944. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (a a))(^x1.b))) REDUCED to normal form. ------ 145332/15475980. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 145333/15476007. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 145334/15476034. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)(b a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(b a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(b a)) REDUCED to normal form. ------ 145335/15476088. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 145336/15476115. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 145337/15476142. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 145338/15476196. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 145339/15476250. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 145340/15476277. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 145341/15476286. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 145342/15476313. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a (b a))) 3. ==[ beta ]==> ((^y.y)(a (b a))) 4. ==[ alpha ]==> ((^x.x)(a (b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 145343/15476448. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((^y.y)(^z.z))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145344/15476556. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145345/15476592. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> ((b a)(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> ((b a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 145346/15476619. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 145347/15476646. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a b)(^y1.a))) REDUCED to normal form. ------ 145348/15476727. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))((a (a a))(^z.a))) 6. ==[ alpha ]==> ((^x.(a a))((a (a a))(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 145349/15476754. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a (^z.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.b))) REDUCED to normal form. ------ 145350/15476781. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 145351/15476808. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 145352/15476835. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 145353/15476889. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a b) c)) REDUCED to normal form. ------ 145354/15476952. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 145355/15477006. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (b a))((^y.a)(^z.b))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(^y.b))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 145356/15477033. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 145357/15477249. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c (^y.b))) 3. ==[ beta ]==> ((b (a a))(c (^y.b))) 4. ==[ alpha ]==> ((b (a a))(c (^x.b))) REDUCED to normal form. ------ 145358/15477276. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(b (^x.(a a)))) REDUCED to normal form. ------ 145359/15477591. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x) b) b)(((a a) a) c)) 3. ==[ beta ]==> ((b b)(((a a) a) c)) REDUCED to normal form. ------ 145360/15477717. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b (a b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b (a b))) 3. ==[ beta ]==> (((b a)(b a))(b (a b))) REDUCED to normal form. ------ 145361/15477780. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.b) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) b) REDUCED to normal form. ------ 145362/15477798. ------ 1. ==[ start ]==> (((^a.b)(a b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (b (((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 145363/15477807. ------ 1. ==[ start ]==> (((a b)(^a.b))((^c.a) c)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a) c)) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 145364/15477906. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a (^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145365/15477969. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 145366/15478032. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 145367/15478059. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 145368/15478086. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 145369/15478113. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 145370/15478140. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.y)(a b))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(a b))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(a b))) 5. ==[ beta ]==> ((((a a) a)(a a))(a b)) REDUCED to normal form. ------ 145371/15478167. ------ 1. ==[ start ]==> (((a b)(a b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 145372/15478221. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 145373/15478275. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 145374/15478302. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 145375/15478329. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)(^y.b))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.b)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.b)) REDUCED to normal form. ------ 145376/15478446. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2) a)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145377/15478671. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a)(^y.a))) 3. ==[ beta ]==> ((b c)((a a)(^y.a))) 4. ==[ alpha ]==> ((b c)((a a)(^x.a))) REDUCED to normal form. ------ 145378/15478698. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((a a) a) a)) REDUCED to normal form. ------ 145379/15478824. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b ((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b (^z1.z1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b (^y1.y1))) REDUCED to normal form. ------ 145380/15478905. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 145381/15478914. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(y y)) c)) 3. ==[ beta ]==> (((a b)(^x.(a a)))(c c)) REDUCED to normal form. ------ 145382/15479022. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 145383/15479049. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 145384/15479076. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 145385/15479139. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 145386/15479166. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 145387/15479193. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a b)(^y.y)) 10. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 145388/15479220. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 145389/15479247. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 145390/15479274. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 145391/15479409. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 145392/15479436. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(z z))(a a))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(y y))(a a))) 5. ==[ beta ]==> ((b a)((^y.(y y))(a a))) 6. ==[ alpha ]==> ((b a)((^x.(x x))(a a))) 7. ==[ beta ]==> ((b a)((a a)(a a))) REDUCED to normal form. ------ 145393/15479463. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x))) a) REDUCED to normal form. ------ 145394/15479517. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 145395/15479607. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> ((^y.y)(b ((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 145396/15479688. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 145397/15479796. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b c)) 3. ==[ beta ]==> ((^y.(^z.z))(b c)) 4. ==[ alpha ]==> ((^x.(^y.y))(b c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145398/15479913. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^b.a) a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.a) a)) 3. ==[ beta ]==> (((^y.y) a)((^z.a) a)) 4. ==[ alpha ]==> (((^x.x) a)((^y.a) a)) 5. ==[ beta ]==> (a ((^y.a) a)) 6. ==[ alpha ]==> (a ((^x.a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 145399/15479931. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))(a a))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 7. ==[ beta ]==> ((a (^y.y))(a a)) 8. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 145400/15479958. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 145401/15480012. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(b b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(b b)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(b b)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(b b)) 5. ==[ beta ]==> ((b ((^y.y) b))(b b)) 6. ==[ alpha ]==> ((b ((^x.x) b))(b b)) 7. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 145402/15480021. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 145403/15480048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((a (^z1.z1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1)) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1)) a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1)) a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145404/15480093. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(a (a (^z.z)))) 3. ==[ beta ]==> (b (a (a (^z.z)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 145405/15480102. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 145406/15480129. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.z) b)) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.z) b)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) b)) 5. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 145407/15480156. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((a a)(^z.z))) REDUCED to normal form. ------ 145408/15480201. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(a (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145409/15480210. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 145410/15480236. ------ 1. ==[ start ]==> (^a.(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (^x.(((^y.y) b)(^z.(z z)))) 3. ==[ beta ]==> (^x.(b (^z.(z z)))) 4. ==[ alpha ]==> (^x.(b (^y.(y y)))) REDUCED to normal form. ------ 145411/15480237. ------ 1. ==[ start ]==> (a (((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (a (((^x.x) b)(^y.(y y)))) 3. ==[ beta ]==> (a (b (^y.(y y)))) 4. ==[ alpha ]==> (a (b (^x.(x x)))) REDUCED to normal form. ------ 145412/15489873. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a))) a) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y))) a) 3. ==[ beta ]==> ((b (^y.(y y))) a) 4. ==[ alpha ]==> ((b (^x.(x x))) a) REDUCED to normal form. ------ 145413/15489879. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(z z))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(y y))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 145414/15489888. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145415/15489906. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.(^y1.y1)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) REDUCED to normal form. ------ 145416/15489933. ------ 1. ==[ start ]==> ((^a.b)((b a)(^c.a))) 2. ==[ alpha ]==> ((^x.b)((b a)(^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 145417/15490014. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 145418/15490131. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)((a a)(a a)))) 3. ==[ beta ]==> (^y.((^z.a)((a a)(a a)))) 4. ==[ alpha ]==> (^x.((^y.a)((a a)(a a)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 145419/15490203. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.(^x1.x1)) a) a)) 3. ==[ eta ]==> ((^y.y)(((^z.(^x1.x1)) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a) a)) 5. ==[ beta ]==> (((^y.(^z.z)) a) a) 6. ==[ alpha ]==> (((^x.(^y.y)) a) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 145420/15490602. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 145421/15490980. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 145422/15491589. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 145423/15491763. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(b (^z.z)))) 3. ==[ beta ]==> (b (^y.(b (^z.z)))) 4. ==[ alpha ]==> (b (^x.(b (^y.y)))) REDUCED to normal form. ------ 145424/15492156. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a))(a a))) 3. ==[ beta ]==> (^y.(((^z.(a a))(a a))((^z.(a a))(a a)))) 4. ==[ alpha ]==> (^x.(((^y.(a a))(a a))((^z.(a a))(a a)))) 5. ==[ beta ]==> (^x.((a a)((^z.(a a))(a a)))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a))(a a)))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 145425/15494139. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 145426/15494157. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.z))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 145427/15494343. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 145428/15494445. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 145429/15495030. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(b a))) REDUCED to normal form. ------ 145430/15495234. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145431/15495840. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 145432/15496587. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 145433/15497217. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(a b))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(a b))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(a b))) REDUCED to normal form. ------ 145434/15497628. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.b) a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145435/15497802. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 145436/15498414. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 145437/15498789. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a a)(^x1.(x1 x1)))) 3. ==[ eta ]==> ((^y.(^z.z))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145438/15499188. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.(^y.y)) a) a)(^x1.x1)) 4. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.z)) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 145439/15499368. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 145440/15499377. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 145441/15499404. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(a a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 145442/15499476. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145443/15499485. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(y1 y1))) REDUCED to normal form. ------ 145444/15499512. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.z)) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.z)) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 145445/15499524. ------ 1. ==[ start ]==> ((a a)(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.(y y)))) 3. ==[ beta ]==> ((a a)(b (^y.(y y)))) 4. ==[ alpha ]==> ((a a)(b (^x.(x x)))) REDUCED to normal form. ------ 145446/15499533. ------ 1. ==[ start ]==> ((a (^a.a))((^b.b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 145447/15499551. ------ 1. ==[ start ]==> ((a (a a))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 145448/15499560. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145449/15499578. ------ 1. ==[ start ]==> ((a b)((b a)(^c.a))) 2. ==[ alpha ]==> ((a b)((b a)(^x.a))) REDUCED to normal form. ------ 145450/15499632. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 145451/15499659. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 145452/15499668. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145453/15499722. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 145454/15499749. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) b))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) b)) 7. ==[ beta ]==> (((^y.y) b)((^y.y) b)) 8. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 9. ==[ beta ]==> (b ((^y.y) b)) 10. ==[ alpha ]==> (b ((^x.x) b)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 145455/15499776. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 145456/15499848. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> ((a a)(((^y.(^z.z)) a) a)) 4. ==[ alpha ]==> ((a a)(((^x.(^y.y)) a) a)) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 145457/15499938. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 145458/15499965. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145459/15500127. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.(^z1.z1))))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3))))) 7. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3))))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145460/15500154. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145461/15500190. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c ((a a)(a a)))) 3. ==[ beta ]==> ((a b)(c ((a a)(a a)))) REDUCED to normal form. ------ 145462/15500217. ------ 1. ==[ start ]==> (((a (a a)) a)(b (b (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(b (b (^x.x)))) REDUCED to normal form. ------ 145463/15500244. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 145464/15500271. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b (^z.z))(a a))) REDUCED to normal form. ------ 145465/15500298. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(a a))(a (^z.z)))) REDUCED to normal form. ------ 145466/15500325. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(b ((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b ((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(b a)) REDUCED to normal form. ------ 145467/15500433. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a))(a b))) 3. ==[ beta ]==> ((b b)(((^y.y)(a a))(a b))) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a))(a b))) 5. ==[ beta ]==> ((b b)((a a)(a b))) REDUCED to normal form. ------ 145468/15500568. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)((^y.y) b))) 3. ==[ beta ]==> (((a (a a)) b)(a ((^y.y) b))) 4. ==[ alpha ]==> (((a (a a)) b)(a ((^x.x) b))) 5. ==[ beta ]==> (((a (a a)) b)(a b)) REDUCED to normal form. ------ 145469/15500595. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> (a ((a (^y.y))((a a)(a a)))) 6. ==[ alpha ]==> (a ((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 145470/15500622. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(b (^z.z)))) REDUCED to normal form. ------ 145471/15500766. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 145472/15500820. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.b))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.b))) 7. ==[ beta ]==> ((a a)((a a)(^y.b))) 8. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 145473/15500847. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a b)(^y.(a a)))) REDUCED to normal form. ------ 145474/15500937. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 145475/15500991. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))((a a)(a a)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))((a a)(a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a)(a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 145476/15501099. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 145477/15501234. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 145478/15501405. ------ 1. ==[ start ]==> (((^a.b) a)(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(a (b (^y.y)))) 3. ==[ beta ]==> (b (a (b (^y.y)))) 4. ==[ alpha ]==> (b (a (b (^x.x)))) REDUCED to normal form. ------ 145479/15501567. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> ((((a a) a) b)((a a)((a a) a))) REDUCED to normal form. ------ 145480/15501594. ------ 1. ==[ start ]==> (((a b) a)((a b)(a b))) REDUCED to normal form. ------ 145481/15501621. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(((a a) a)(a a))) REDUCED to normal form. ------ 145482/15501675. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(b a))) REDUCED to normal form. ------ 145483/15501702. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 145484/15501729. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((^y.a)((a (^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.a)((a (^y.y))((^z.z) b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 145485/15501756. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 145486/15501801. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 145487/15501819. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 145488/15501846. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 145489/15501873. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))((b a)(^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(^y.(y y)))) REDUCED to normal form. ------ 145490/15501900. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 145491/15501954. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a b)(^y.b))) REDUCED to normal form. ------ 145492/15501981. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 145493/15502017. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 145494/15502044. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(b a))) 5. ==[ beta ]==> ((^y.(y y))(b a)) 6. ==[ alpha ]==> ((^x.(x x))(b a)) 7. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 145495/15502098. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) b))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2) b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145496/15502179. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 145497/15502260. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145498/15502314. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b)(^y1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(^z1.b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.b))) 9. ==[ beta ]==> ((^y.y)((^z.b)(^x1.b))) 10. ==[ alpha ]==> ((^x.x)((^y.b)(^z.b))) 11. ==[ beta ]==> ((^y.b)(^z.b)) 12. ==[ alpha ]==> ((^x.b)(^y.b)) 13. ==[ beta ]==> b REDUCED to normal form. ------ 145499/15502494. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 145500/15502521. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.y) b)) 3. ==[ beta ]==> ((a ((a a) a))((^y.y) b)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x) b)) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 145501/15502620. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 145502/15502854. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(a a))) 3. ==[ beta ]==> (b ((^z.z)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 145503/15502962. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 145504/15503097. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(b a))) 3. ==[ beta ]==> (b ((^z.a)(b a))) 4. ==[ alpha ]==> (b ((^x.a)(b a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 145505/15503196. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 145506/15503223. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((b a) c)) 3. ==[ beta ]==> (((a (^x.x))(a a))((b a) c)) REDUCED to normal form. ------ 145507/15503673. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(a b))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(a b)) REDUCED to normal form. ------ 145508/15503781. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 145509/15503799. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a (^y.y))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.y))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.x))) REDUCED to normal form. ------ 145510/15503880. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145511/15503988. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 145512/15504006. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 145513/15504087. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 145514/15504114. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.(^z.z))) a)) 5. ==[ beta ]==> (((a a) a)((a (^y.(^z.z))) a)) 6. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 145515/15504141. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((b a) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((b a) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((b a) b)) REDUCED to normal form. ------ 145516/15504168. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a (a a)))(((a a)(^x.x)) c)) REDUCED to normal form. ------ 145517/15504285. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145518/15504564. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)((a a) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a) a)) REDUCED to normal form. ------ 145519/15504591. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (a a))(a b))) REDUCED to normal form. ------ 145520/15504672. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(b a))) REDUCED to normal form. ------ 145521/15504744. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145522/15504852. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145523/15504879. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a (^x.x))((a b)(a b))) REDUCED to normal form. ------ 145524/15504897. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.(a a)))) REDUCED to normal form. ------ 145525/15504924. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 145526/15504978. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((b a) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((b a) a)) 3. ==[ beta ]==> (((a (a a))(a a))((b a) a)) REDUCED to normal form. ------ 145527/15505005. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((^y.y)(a b))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((^x.x)(a b))(((a a)(^y.y)) b)) 5. ==[ beta ]==> ((a b)(((a a)(^y.y)) b)) 6. ==[ alpha ]==> ((a b)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 145528/15505203. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145529/15505473. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b (^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145530/15505482. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 145531/15505527. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a a))) 5. ==[ beta ]==> (b ((^y.(^z.z))(a a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145532/15505554. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(a a))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 145533/15505689. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)(a b))) 3. ==[ beta ]==> (b ((^y.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 145534/15505797. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145535/15506004. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 145536/15506031. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(a a)) b)) 3. ==[ beta ]==> (((a b)((a a) a))(a a)) REDUCED to normal form. ------ 145537/15506058. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.b) c)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b) c)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.b) c)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b) c)) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 145538/15506229. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 145539/15506364. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145540/15506472. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(a a))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145541/15506553. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 145542/15506580. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145543/15506634. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 145544/15506697. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a b)(a a))) REDUCED to normal form. ------ 145545/15506724. ------ 1. ==[ start ]==> (((a b)(^a.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 145546/15506778. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 145547/15506832. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1))((a a) a))) REDUCED to normal form. ------ 145548/15506859. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a a)(a b))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a a)(a b))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 145549/15506922. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 145550/15506949. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.a))) 7. ==[ beta ]==> (((a (^x.x)) b)(^z.a)) 8. ==[ alpha ]==> (((a (^x.x)) b)(^y.a)) REDUCED to normal form. ------ 145551/15506976. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 145552/15507003. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 145553/15507057. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a)(^y.b))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(^y.b))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a a)(^x.b))) REDUCED to normal form. ------ 145554/15507084. ------ 1. ==[ start ]==> (((a b)(a b))((a b) a)) REDUCED to normal form. ------ 145555/15507111. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((a a) a) b)) 3. ==[ beta ]==> (((a a)((a a) a))(((a a) a) b)) REDUCED to normal form. ------ 145556/15507273. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.b) a)) 3. ==[ beta ]==> ((a (b (^x.x))) b) REDUCED to normal form. ------ 145557/15507444. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a (^z.b))) 3. ==[ beta ]==> (b (a (^z.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 145558/15507552. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145559/15507660. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 145560/15507687. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 145561/15507723. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(c (a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(c (a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(c (a (a a)))) REDUCED to normal form. ------ 145562/15507741. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 145563/15507750. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(b (^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b (^x1.x1))) REDUCED to normal form. ------ 145564/15507831. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 145565/15507858. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.b))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.b))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.b))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 145566/15508056. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 145567/15508083. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))((a a)(a a))) a) REDUCED to normal form. ------ 145568/15508110. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (a a)) b)) 3. ==[ beta ]==> ((a ((^y.y) b))((a (a a)) b)) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (a a)) b)) 5. ==[ beta ]==> ((a b)((a (a a)) b)) REDUCED to normal form. ------ 145569/15508218. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 145570/15508245. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)(a b))((^y.(y y)) b)) 4. ==[ alpha ]==> (((a a)(a b))((^x.(x x)) b)) 5. ==[ beta ]==> (((a a)(a b))(b b)) REDUCED to normal form. ------ 145571/15508272. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a)) a) REDUCED to normal form. ------ 145572/15508353. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a (a a))(^z.z))) 3. ==[ beta ]==> ((b ((^y.y) a))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a (a a))(^y.y))) 5. ==[ beta ]==> ((b a)((a (a a))(^y.y))) 6. ==[ alpha ]==> ((b a)((a (a a))(^x.x))) REDUCED to normal form. ------ 145573/15508380. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 145574/15508434. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 145575/15508524. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145576/15508605. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 145577/15508713. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))(a (^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(a (^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145578/15508830. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(a ((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)(a ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) a)(a ((^y.y) a))) 5. ==[ beta ]==> (a (a ((^y.y) a))) 6. ==[ alpha ]==> (a (a ((^x.x) a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 145579/15508875. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 145580/15508929. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((b b)((^y.(^z.z))(a a))) 8. ==[ alpha ]==> ((b b)((^x.(^y.y))(a a))) 9. ==[ beta ]==> ((b b)(^y.y)) 10. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 145581/15508938. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(b b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b b)) REDUCED to normal form. ------ 145582/15509010. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 145583/15509019. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 145584/15509046. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((a a)(a a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((a a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 145585/15509073. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(b a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(b a)) REDUCED to normal form. ------ 145586/15509118. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((^z1.z1)(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145587/15509127. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (a a))) REDUCED to normal form. ------ 145588/15509154. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(a a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(a a)) 3. ==[ beta ]==> ((b (^y.(y y)))(a a)) 4. ==[ alpha ]==> ((b (^x.(x x)))(a a)) REDUCED to normal form. ------ 145589/15511056. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(b (^z.z)))) 3. ==[ beta ]==> ((^y.(b (^z.z))) b) 4. ==[ alpha ]==> ((^x.(b (^y.y))) b) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145590/15516915. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(z b))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145591/15518799. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a))) b) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y))) b) 3. ==[ beta ]==> ((b (^y.(y y))) b) 4. ==[ alpha ]==> ((b (^x.(x x))) b) REDUCED to normal form. ------ 145592/15518823. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145593/15518904. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145594/15519066. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (^x.(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (^x.(a (^z.(a a)))) 6. ==[ alpha ]==> (^x.(a (^y.(a a)))) REDUCED to normal form. ------ 145595/15519759. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145596/15520320. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(y (^z.z)))) 5. ==[ beta ]==> (b (^y.(y (^z.z)))) 6. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 145597/15520704. ------ 1. ==[ start ]==> ((^a.(a b))(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(a (b (^y.y)))) 3. ==[ beta ]==> ((a (b (^y.y))) b) 4. ==[ alpha ]==> ((a (b (^x.x))) b) REDUCED to normal form. ------ 145598/15520707. ------ 1. ==[ start ]==> ((a (a b))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(b (^y.y)))) REDUCED to normal form. ------ 145599/15521091. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (^y.((((a a)(a a))(^z.z))(((a a)(a a))(^z.z)))) 4. ==[ alpha ]==> (^x.((((a a)(a a))(^y.y))(((a a)(a a))(^z.z)))) REDUCED to normal form. ------ 145600/15521787. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((y y)(y y)))) REDUCED to normal form. ------ 145601/15521973. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a) a)(a b))) 3. ==[ beta ]==> (((((a a) a)(a b))(((a a) a)(a b)))(^y.y)) 4. ==[ alpha ]==> (((((a a) a)(a b))(((a a) a)(a b)))(^x.x)) REDUCED to normal form. ------ 145602/15522453. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 145603/15522729. ------ 1. ==[ start ]==> ((^a.(b a))(c (b a))) 2. ==[ alpha ]==> ((^x.(b x))(c (b a))) 3. ==[ eta ]==> (b (c (b a))) REDUCED to normal form. ------ 145604/15523101. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 145605/15523278. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 145606/15523992. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 145607/15524169. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145608/15524484. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 145609/15525045. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 145610/15525297. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 145611/15525483. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (^y.y))(a b))) 3. ==[ beta ]==> ((((a (^y.y))(a b))((a (^y.y))(a b)))(((a (^y.y))(a b))((a (^y.y))(a b)))) 4. ==[ alpha ]==> ((((a (^x.x))(a b))((a (^y.y))(a b)))(((a (^z.z))(a b))((a (^x1.x1))(a b)))) REDUCED to normal form. ------ 145612/15526179. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 145613/15526563. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a (a b))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a (a b))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145614/15526566. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(y b))) REDUCED to normal form. ------ 145615/15526908. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.((a a) a))) REDUCED to normal form. ------ 145616/15527511. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a a))(^x.(^z.z))) 6. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 145617/15528123. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.a))) 5. ==[ beta ]==> (a (^y.(^z.a))) 6. ==[ alpha ]==> (a (^x.(^y.a))) REDUCED to normal form. ------ 145618/15528258. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a (^y1.y1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145619/15528303. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 145620/15528312. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 145621/15528366. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 145622/15528420. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.z1))) REDUCED to normal form. ------ 145623/15528447. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 145624/15528477. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.x))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 145625/15528486. ------ 1. ==[ start ]==> (((^a.a) a)((^b.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)(a (a a)))) 3. ==[ beta ]==> (a ((^y.y)(a (a a)))) 4. ==[ alpha ]==> (a ((^x.x)(a (a a)))) 5. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 145626/15528504. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 145627/15528513. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 145628/15528531. ------ 1. ==[ start ]==> (((^a.a)(a a))((b a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((b a)(^y.a))) 3. ==[ beta ]==> ((a a)((b a)(^y.a))) 4. ==[ alpha ]==> ((a a)((b a)(^x.a))) REDUCED to normal form. ------ 145629/15528558. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.b))) REDUCED to normal form. ------ 145630/15528567. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145631/15528594. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 145632/15528612. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145633/15528621. ------ 1. ==[ start ]==> (((a a) b)((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.b)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 145634/15528666. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 145635/15528675. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 145636/15528693. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 145637/15528702. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(((^x1.x1) b)((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b)((^x1.x1) b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b ((^x1.x1) b))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((^z.z) b))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(b b)) REDUCED to normal form. ------ 145638/15528720. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.a))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 145639/15528756. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145640/15528801. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> ((^y.a)(((^z.(^x1.x1)) a) a)) 4. ==[ alpha ]==> ((^x.a)(((^y.(^z.z)) a) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 145641/15528828. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b (^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((b (^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) b)) 5. ==[ beta ]==> ((b (^y.y)) b) 6. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 145642/15528891. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 145643/15528918. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 145644/15529134. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 145645/15529305. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 145646/15529332. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a)((b a)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) a)((b a)(^y.y))) REDUCED to normal form. ------ 145647/15529359. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 145648/15529386. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a))(a b))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(a b))) REDUCED to normal form. ------ 145649/15529413. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((a b)(a a))) REDUCED to normal form. ------ 145650/15529638. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 145651/15529674. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 145652/15529881. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 145653/15529935. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (a ((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 145654/15529971. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(b (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(b (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(b (^y.y)))) 7. ==[ beta ]==> (b (b (^y.y))) 8. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 145655/15530016. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(a a)) b)) 3. ==[ beta ]==> (((a a) a)(((a a)(a a)) b)) REDUCED to normal form. ------ 145656/15530043. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) b) c)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 5. ==[ beta ]==> (((^y.y) b) c) 6. ==[ alpha ]==> (((^x.x) b) c) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 145657/15530052. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 145658/15530079. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 145659/15530160. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 145660/15530331. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b ((a a)(a a)))) REDUCED to normal form. ------ 145661/15530358. ------ 1. ==[ start ]==> ((a (a b))(a (b (^a.a)))) 2. ==[ alpha ]==> ((a (a b))(a (b (^x.x)))) REDUCED to normal form. ------ 145662/15530673. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.z))) 5. ==[ beta ]==> ((^y.a)(c (^z.z))) 6. ==[ alpha ]==> ((^x.a)(c (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 145663/15530700. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 145664/15530745. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 145665/15530916. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.b)(a b))) 3. ==[ beta ]==> (b ((^y.b)(a b))) 4. ==[ alpha ]==> (b ((^x.b)(a b))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 145666/15530961. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 145667/15531042. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 7. ==[ beta ]==> ((a (^y.y))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 145668/15531123. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> (b (((^x1.x1) b) b)) 4. ==[ alpha ]==> (b (((^x.x) b) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 145669/15531132. ------ 1. ==[ start ]==> (((a b) b)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 145670/15531159. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 145671/15531213. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 145672/15531267. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 145673/15531321. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 145674/15531375. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 145675/15531411. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b ((^y.y) b))) 3. ==[ beta ]==> (((a a)(a a))(b ((^y.y) b))) 4. ==[ alpha ]==> (((a a)(a a))(b ((^x.x) b))) 5. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 145676/15531438. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a ((a a)(a a)))) REDUCED to normal form. ------ 145677/15531465. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) b)(a a))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) b)(a a))) 5. ==[ beta ]==> ((a ((a a) a))(b (a a))) REDUCED to normal form. ------ 145678/15531492. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 145679/15531519. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((b a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((b a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((b a)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((b a)((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))((b a)((^x.x) a))) 7. ==[ beta ]==> ((a (a a))((b a) a)) REDUCED to normal form. ------ 145680/15531546. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)(((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 145681/15531573. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))((a a)(^z.z))) 6. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 145682/15531600. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a b)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((a b)((a a) a))) REDUCED to normal form. ------ 145683/15531627. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(a b))) REDUCED to normal form. ------ 145684/15531798. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (b (((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.y))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 145685/15531807. ------ 1. ==[ start ]==> (((a b) c)((^b.b)(a a))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(a a))) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 145686/15531834. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 145687/15531879. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 145688/15531906. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 145689/15531915. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 145690/15531942. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b)((a a) a))) 3. ==[ beta ]==> ((a (^y.b))((^z.b)((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.b)((a a) a))) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 145691/15531960. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a) a)(^y.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)(^y.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)(^x.b))) REDUCED to normal form. ------ 145692/15531996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145693/15532023. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 145694/15532050. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(b a))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 145695/15532077. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 145696/15532104. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 145697/15532383. ------ 1. ==[ start ]==> ((a (b a))(c (b a))) REDUCED to normal form. ------ 145698/15532473. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1))) b)) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) b)) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 145699/15532725. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(a a)))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 145700/15532752. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.y))) REDUCED to normal form. ------ 145701/15532824. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 145702/15532833. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 145703/15532860. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 145704/15532887. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 145705/15532932. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.b))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.b)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.b)) REDUCED to normal form. ------ 145706/15533643. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.b)(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.b)(a (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 145707/15533688. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 145708/15533697. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 145709/15533724. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 145710/15533751. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 145711/15533805. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 145712/15533823. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.b))) REDUCED to normal form. ------ 145713/15534102. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145714/15534138. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)(c ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)(c ((^x.x)(a a)))) 5. ==[ beta ]==> ((a b)(c (a a))) REDUCED to normal form. ------ 145715/15534426. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 145716/15534471. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (b (((a a)(^y.y))(^z.z))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 145717/15534480. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 145718/15534498. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 145719/15534507. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(a a))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 145720/15534552. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 145721/15534588. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 145722/15534615. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 145723/15534633. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.b))) 5. ==[ beta ]==> (b (a (^y.b))) 6. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 145724/15534642. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(a b))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 145725/15534669. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 145726/15534696. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(^z.z))) REDUCED to normal form. ------ 145727/15534741. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1)(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145728/15534750. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 145729/15534777. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.b)(^z.a))) 5. ==[ beta ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 145730/15534921. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(b ((^z.z)(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))(b ((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)(b ((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)(b ((^x.x)(a a)))) 9. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 145731/15534948. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 145732/15534975. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x)(a a))(a a))) 3. ==[ beta ]==> (((a b)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 145733/15535002. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))((a b)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 145734/15535029. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 145735/15535083. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (a a))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 145736/15535110. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((b (a a))(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> ((b (a a))(((^x.x) a)((a a) a))) 5. ==[ beta ]==> ((b (a a))(a ((a a) a))) REDUCED to normal form. ------ 145737/15535137. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x))(a b))) REDUCED to normal form. ------ 145738/15535308. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 145739/15535416. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1)(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145740/15535452. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 145741/15535533. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 145742/15535560. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 145743/15535659. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.b) b)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.b) b)) 3. ==[ beta ]==> (b ((^y.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 145744/15535776. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c (^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c (^x1.a))) REDUCED to normal form. ------ 145745/15535803. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b (^x1.b))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 145746/15535830. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 145747/15536163. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (a (^x.x)))(c (^z.z))) 6. ==[ alpha ]==> ((b (a (^x.x)))(c (^y.y))) REDUCED to normal form. ------ 145748/15536190. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(b ((a a) a))) REDUCED to normal form. ------ 145749/15536217. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a (a b))) 2. ==[ alpha ]==> ((a (b (^x.x)))(a (a b))) REDUCED to normal form. ------ 145750/15536496. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1) a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145751/15536532. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b c)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b c)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 145752/15536559. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)((a a) a))) 3. ==[ beta ]==> ((((a a)(a a)) b)((a a) a)) REDUCED to normal form. ------ 145753/15536604. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((b (^x.x))((^z.z) b)) 6. ==[ alpha ]==> ((b (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 145754/15536667. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 145755/15536694. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 145756/15536766. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145757/15536910. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 145758/15536937. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 145759/15537108. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(c ((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(b a))(c ((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(b a))(c ((^y.y) a))) 5. ==[ beta ]==> ((b a)(c ((^y.y) a))) 6. ==[ alpha ]==> ((b a)(c ((^x.x) a))) 7. ==[ beta ]==> ((b a)(c a)) REDUCED to normal form. ------ 145760/15537135. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(b (a (a a)))) REDUCED to normal form. ------ 145761/15537162. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a b)(a a))(a (^x.x))) REDUCED to normal form. ------ 145762/15537189. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (a a))(a a))) 3. ==[ beta ]==> (((a a)(a b))((a (a a))(a a))) REDUCED to normal form. ------ 145763/15537216. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(a (a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a (a (^y.y)))) REDUCED to normal form. ------ 145764/15537270. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 145765/15537468. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z)) c)) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z)) c)) 5. ==[ beta ]==> ((^y.y)((a (^z.z)) c)) 6. ==[ alpha ]==> ((^x.x)((a (^y.y)) c)) 7. ==[ beta ]==> ((a (^y.y)) c) 8. ==[ alpha ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 145766/15537549. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (b ((^x1.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 145767/15537657. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145768/15537774. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.a))) 5. ==[ beta ]==> (a ((^y.y)(^z.a))) 6. ==[ alpha ]==> (a ((^x.x)(^y.a))) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 145769/15537792. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.a) a)) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.a) a)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a) a)) 5. ==[ beta ]==> ((^y.y)((^z.a) a)) 6. ==[ alpha ]==> ((^x.x)((^y.a) a)) 7. ==[ beta ]==> ((^y.a) a) 8. ==[ alpha ]==> ((^x.a) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 145770/15537819. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145771/15537873. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b ((^y.y) b))((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((b ((^x.x) b))((a (^y.y))(^z.z))) 7. ==[ beta ]==> ((b b)((a (^y.y))(^z.z))) 8. ==[ alpha ]==> ((b b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 145772/15537882. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 145773/15537909. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.z1)(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145774/15537954. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 145775/15537963. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 145776/15537990. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(b (^z.z))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 145777/15538017. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 145778/15538062. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((a a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145779/15538071. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 145780/15538098. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(a (^z.z))) 3. ==[ beta ]==> ((b (^y.(y y)))(a (^z.z))) 4. ==[ alpha ]==> ((b (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 145781/15538443. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.((^x1.(^y1.y1)) a))) 3. ==[ eta ]==> ((^y.y)(^z.((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (^y.((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145782/15545868. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145783/15547752. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a))) c) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y))) c) 3. ==[ beta ]==> ((b (^y.(y y))) c) 4. ==[ alpha ]==> ((b (^x.(x x))) c) REDUCED to normal form. ------ 145784/15547803. ------ 1. ==[ start ]==> ((^a.(a a))((^b.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 145785/15547830. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 145786/15547911. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^z.(a a))((^x1.x1)(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.(a a))((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> ((a a)(^z.z)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 145787/15548100. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ eta ]==> ((^y.y)((^z.z)((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145788/15548103. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a a)(^y.((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((a a)(^x.((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a a)(^x.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 145789/15548517. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.((^y1.(^z1.z1)) x1))) 3. ==[ eta ]==> (((^x.(^y.y))((^z.z) a))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145790/15548595. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b)((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145791/15549282. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 145792/15549678. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.b)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)(^y.(b (^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 145793/15550029. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((a a)(a a)))) 3. ==[ beta ]==> (b (^y.((a a)(a a)))) 4. ==[ alpha ]==> (b (^x.((a a)(a a)))) REDUCED to normal form. ------ 145794/15550749. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 145795/15552054. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(a b))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 145796/15552369. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)(^y.(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 145797/15553233. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(y a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(y a))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(x a))) REDUCED to normal form. ------ 145798/15553446. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 145799/15554259. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 145800/15554484. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 145801/15555339. ------ 1. ==[ start ]==> (((a b)(a b))(^b.(a b))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(a x))) 3. ==[ eta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 145802/15555525. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 145803/15555528. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 145804/15555699. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 145805/15555870. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.(^c.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.a))) REDUCED to normal form. ------ 145806/15556338. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 145807/15556473. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 145808/15556608. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 145809/15556686. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145810/15557103. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.x)((^y.(^z.z)) a))(^y1.y1)) 4. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.x1)) 5. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.x1)) 6. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145811/15557274. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 145812/15557328. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^b.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 145813/15557373. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145814/15557382. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^c.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.a)) REDUCED to normal form. ------ 145815/15557409. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.a)) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.a)) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.a)) REDUCED to normal form. ------ 145816/15557457. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(^z.(z z)))) 3. ==[ beta ]==> (a (((^y.y) b)(^z.(z z)))) 4. ==[ alpha ]==> (a (((^x.x) b)(^y.(y y)))) 5. ==[ beta ]==> (a (b (^y.(y y)))) 6. ==[ alpha ]==> (a (b (^x.(x x)))) REDUCED to normal form. ------ 145817/15557466. ------ 1. ==[ start ]==> ((a (a a))((^b.b)(a (a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 3. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 145818/15557484. ------ 1. ==[ start ]==> (((a a) a)((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 145819/15557493. ------ 1. ==[ start ]==> ((a b)((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 145820/15557511. ------ 1. ==[ start ]==> (((a a)(^a.a))((b a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.a))) REDUCED to normal form. ------ 145821/15557538. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))(^z.b))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.b))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.b))) REDUCED to normal form. ------ 145822/15557565. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(a a))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 145823/15557574. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 145824/15557592. ------ 1. ==[ start ]==> (((a a) b)((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 145825/15557646. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 145826/15557673. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.z))) REDUCED to normal form. ------ 145827/15557709. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 145828/15557736. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 145829/15557763. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a a)((^y.y)((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 145830/15557808. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((b (^y.y)) b)) REDUCED to normal form. ------ 145831/15557979. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 145832/15558006. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 145833/15558150. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b (b (^y.y)))) 3. ==[ beta ]==> ((a (a a))(b (b (^y.y)))) 4. ==[ alpha ]==> ((a (a a))(b (b (^x.x)))) REDUCED to normal form. ------ 145834/15558177. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a ((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> (a ((^y.(^z.z)) a)) 6. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 145835/15558231. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(a a))(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 145836/15558258. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 145837/15558393. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145838/15558420. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 145839/15558474. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((a (a a))(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 145840/15558528. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 7. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 145841/15558555. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a a)(b (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)(b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 145842/15558591. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 145843/15558618. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 145844/15558645. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(^x1.a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 7. ==[ beta ]==> (((^y.y) b)(^z.a)) 8. ==[ alpha ]==> (((^x.x) b)(^y.a)) 9. ==[ beta ]==> (b (^y.a)) 10. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 145845/15558681. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 145846/15558762. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(a a))(a b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 145847/15558789. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((^y.b)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(a a)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 145848/15558969. ------ 1. ==[ start ]==> ((((a a) a) a)((b (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a) a)((b (^x.x)) a)) REDUCED to normal form. ------ 145849/15559023. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b c)) REDUCED to normal form. ------ 145850/15559167. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b)(^y.(a a)))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 145851/15559248. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (a a)) a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 145852/15559275. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.z))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 145853/15559338. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (b (^z.z)))) 3. ==[ beta ]==> ((^y.b)(a (b (^z.z)))) 4. ==[ alpha ]==> ((^x.b)(a (b (^y.y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 145854/15559419. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1)))((^y1.y1) a))) IRREDUCIBLE: cycle. ------ 145855/15559500. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (b (((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 145856/15559527. ------ 1. ==[ start ]==> (((^a.a)(a b))((a b)(a b))) 2. ==[ alpha ]==> (((^x.x)(a b))((a b)(a b))) 3. ==[ beta ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 145857/15559554. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 145858/15559608. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (a a))(b a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(b a))) REDUCED to normal form. ------ 145859/15559689. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)((a a)(a a)))) 3. ==[ beta ]==> (b ((a a)((a a)(a a)))) REDUCED to normal form. ------ 145860/15559734. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a))(a a))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 145861/15559761. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(a (^y.y))) REDUCED to normal form. ------ 145862/15559788. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 145863/15559869. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 145864/15559887. ------ 1. ==[ start ]==> (((^a.b) b)((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)((a b)(^y.b))) 3. ==[ beta ]==> (b ((a b)(^y.b))) 4. ==[ alpha ]==> (b ((a b)(^x.b))) REDUCED to normal form. ------ 145865/15559896. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b)(a b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.b)(a b))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 145866/15560103. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) b) b)) 2. ==[ alpha ]==> (((a b) b)(((^x.x) b) b)) 3. ==[ beta ]==> (((a b) b)(b b)) REDUCED to normal form. ------ 145867/15560382. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 145868/15560409. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(a a))) REDUCED to normal form. ------ 145869/15560634. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 9. ==[ beta ]==> ((^y.y)(a a)) 10. ==[ alpha ]==> ((^x.x)(a a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 145870/15560778. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) b)(^y.y))) 3. ==[ beta ]==> (((a b) c)(b (^y.y))) 4. ==[ alpha ]==> (((a b) c)(b (^x.x))) REDUCED to normal form. ------ 145871/15560805. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 145872/15560832. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((b a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((b a)(^y.a))) REDUCED to normal form. ------ 145873/15560886. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 145874/15560913. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a b)(^z.a))) 3. ==[ beta ]==> ((a (^y.b))((a b)(^z.a))) 4. ==[ alpha ]==> ((a (^x.b))((a b)(^y.a))) REDUCED to normal form. ------ 145875/15560967. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145876/15561048. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 145877/15561075. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a)(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 145878/15561111. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 145879/15561138. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 145880/15561219. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 145881/15561246. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.b)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 145882/15561273. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a b) a)((^y.a)(^z.b))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(^y.b))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 145883/15561300. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 145884/15561444. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 145885/15561525. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 145886/15561633. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((b a)((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((b a)((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> ((b a)((a (a a))(a a))) REDUCED to normal form. ------ 145887/15561660. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 145888/15561714. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a b)(a b))((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a b)(a b))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 145889/15561777. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 145890/15561804. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 145891/15561831. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 145892/15561858. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 145893/15561921. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 145894/15561948. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 145895/15561975. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)((a a)(^y.y)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 145896/15562002. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 145897/15562029. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.(^z.z))))) 7. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 8. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 145898/15562056. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 145899/15562137. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 145900/15562281. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c ((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)(c ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)(c ((a a)(^x.x)))) REDUCED to normal form. ------ 145901/15562362. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((b a)(a a))) 3. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 145902/15562470. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((a a) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145903/15562497. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((a a) a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a) a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 145904/15562524. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 145905/15562578. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))((a a)(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 145906/15562668. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 145907/15562695. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 145908/15562722. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a b)(^z.(z z)))) REDUCED to normal form. ------ 145909/15562812. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a b)(a b))) REDUCED to normal form. ------ 145910/15562839. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 145911/15562866. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 145912/15562893. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.y)(b a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)(b a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(b a))) 5. ==[ beta ]==> (((a (a a))(a a))(b a)) REDUCED to normal form. ------ 145913/15562974. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 145914/15563001. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 145915/15563082. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 145916/15563109. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 145917/15563118. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(c ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y)(a a)))) 5. ==[ beta ]==> (c ((^y.y)(a a))) 6. ==[ alpha ]==> (c ((^x.x)(a a))) 7. ==[ beta ]==> (c (a a)) REDUCED to normal form. ------ 145918/15563145. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b ((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 145919/15563280. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 145920/15563388. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145921/15563451. ------ 1. ==[ start ]==> (((a a)(^b.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 145922/15563478. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 145923/15563559. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 145924/15563586. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (a a))(^y.a))) REDUCED to normal form. ------ 145925/15563613. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.a))(a (^z.b))) 4. ==[ alpha ]==> (((a b)(^x.a))(a (^y.b))) REDUCED to normal form. ------ 145926/15563640. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 145927/15563721. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1)(a a)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a) b)) REDUCED to normal form. ------ 145928/15563748. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a b) c)) 3. ==[ beta ]==> ((b (^y.y))((a b) c)) 4. ==[ alpha ]==> ((b (^x.x))((a b) c)) REDUCED to normal form. ------ 145929/15563784. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 145930/15563811. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 145931/15563838. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (b a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a (b a))((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a (b a))((^x.a)(^y.a))) 7. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 145932/15563865. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) a) REDUCED to normal form. ------ 145933/15563892. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(a a)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 145934/15563919. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 145935/15564144. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 145936/15564423. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a b) b)) 2. ==[ alpha ]==> ((((^x.x) b) b)((a b) b)) 3. ==[ beta ]==> ((b b)((a b) b)) REDUCED to normal form. ------ 145937/15564549. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c ((a a) a))) 3. ==[ beta ]==> (((b a)(b a))(c ((a a) a))) REDUCED to normal form. ------ 145938/15564612. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 145939/15564630. ------ 1. ==[ start ]==> (((^a.b)(a b))((a b)(a a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 145940/15564639. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.b) b)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.b) b)) 3. ==[ beta ]==> (((a b)(^x.b)) b) REDUCED to normal form. ------ 145941/15564738. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145942/15564837. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.b)(a a))) 3. ==[ beta ]==> (((a a)((a a)(a a))) b) REDUCED to normal form. ------ 145943/15564864. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 145944/15564891. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 145945/15564918. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(b a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 145946/15564945. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 145947/15564972. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 145948/15564999. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a)(a b))) 2. ==[ alpha ]==> (((a b)(a b))((^x.x)(a b))) 3. ==[ beta ]==> (((a b)(a b))(a b)) REDUCED to normal form. ------ 145949/15565026. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.b)(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.b)(^y.y))) 5. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 145950/15565107. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(x1 x1))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 145951/15565134. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 145952/15565188. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.b)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.b)) REDUCED to normal form. ------ 145953/15565278. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (a a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (a a))((^x2.x2) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^x2.x2) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145954/15565359. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 145955/15565503. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 145956/15565530. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a a)(^x.a))) REDUCED to normal form. ------ 145957/15565737. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 145958/15565746. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 145959/15565773. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(z z)) c)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(z z)) c)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y)) c)) 5. ==[ beta ]==> (((a a)(^x.b))(c c)) REDUCED to normal form. ------ 145960/15565845. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145961/15565881. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((b (^y.a))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((b (^x.a))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b (^x.a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.a))((^y.y)(^z.z))) 7. ==[ beta ]==> ((b (^x.a))(^z.z)) 8. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 145962/15565908. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 145963/15565971. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 145964/15565998. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 145965/15566025. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 145966/15566052. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 145967/15566079. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(^z.a))) 5. ==[ beta ]==> ((b a)((^y.a)(^z.a))) 6. ==[ alpha ]==> ((b a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 145968/15566106. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 145969/15566133. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 145970/15566241. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(b (^z.(z z)))) REDUCED to normal form. ------ 145971/15566268. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 145972/15566295. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 145973/15566349. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 145974/15566439. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(c (a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(c (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(c (a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(c (a (^z.z)))) 6. ==[ alpha ]==> ((^x.x)(c (a (^y.y)))) 7. ==[ beta ]==> (c (a (^y.y))) 8. ==[ alpha ]==> (c (a (^x.x))) REDUCED to normal form. ------ 145975/15566520. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (b (((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (b (((^x.x) a)(a a))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 145976/15566628. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(c b)) 3. ==[ beta ]==> ((^y.(^z.z))(c b)) 4. ==[ alpha ]==> ((^x.(^y.y))(c b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145977/15566763. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(a ((^z.z) a))) 5. ==[ beta ]==> ((^y.y)(a ((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)(a ((^y.y) a))) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 145978/15566790. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 5. ==[ beta ]==> ((a (^y.y))(a a)) 6. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 145979/15566844. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(c a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(c a)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(c a)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(c a)) 5. ==[ beta ]==> ((b ((^y.y) b))(c a)) 6. ==[ alpha ]==> ((b ((^x.x) b))(c a)) 7. ==[ beta ]==> ((b b)(c a)) REDUCED to normal form. ------ 145980/15566853. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 145981/15566880. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((a a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((a a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 145982/15566925. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 145983/15566934. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 145984/15566961. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 145985/15566988. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^a.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.z) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b)) b) REDUCED to normal form. ------ 145986/15567033. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(a b)) 3. ==[ beta ]==> ((^y.(^z.z))(a b)) 4. ==[ alpha ]==> ((^x.(^y.y))(a b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 145987/15567042. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a) a)) REDUCED to normal form. ------ 145988/15567069. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> ((b (^y.(y y)))((^z.z) a)) 4. ==[ alpha ]==> ((b (^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> ((b (^x.(x x))) a) REDUCED to normal form. ------ 145989/15567095. ------ 1. ==[ start ]==> (^a.(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (^x.(((x x)(x x))(^y.x))) REDUCED to normal form. ------ 145990/15567096. ------ 1. ==[ start ]==> (a (((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (a (((a a)(a a))(^x.a))) REDUCED to normal form. ------ 145991/15576759. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a)) a) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a)) a) REDUCED to normal form. ------ 145992/15576765. ------ 1. ==[ start ]==> ((^a.a)(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.a))) 3. ==[ beta ]==> (((a a)(a a))(^y.a)) 4. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 145993/15576792. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) b)(^z.(z z)))) 3. ==[ beta ]==> ((((^y.y) b)(^z.(z z)))(((^y.y) b)(^z.(z z)))) 4. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(((^z.z) b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((b (^y.(y y)))(((^z.z) b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((b (^x.(x x)))(((^y.y) b)(^z.(z z)))) 7. ==[ beta ]==> ((b (^x.(x x)))(b (^z.(z z)))) 8. ==[ alpha ]==> ((b (^x.(x x)))(b (^y.(y y)))) REDUCED to normal form. ------ 145994/15576819. ------ 1. ==[ start ]==> ((^a.b)((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 145995/15576900. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((((^z.z)(a a))(^x1.(a a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.z)) 5. ==[ beta ]==> (((a a)(^y.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 145996/15577017. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> (^y.((^z.(z z))((^x1.x1) b))) 4. ==[ alpha ]==> (^x.((^y.(y y))((^z.z) b))) 5. ==[ beta ]==> (^x.(((^z.z) b)((^z.z) b))) 6. ==[ alpha ]==> (^x.(((^y.y) b)((^z.z) b))) 7. ==[ beta ]==> (^x.(b ((^z.z) b))) 8. ==[ alpha ]==> (^x.(b ((^y.y) b))) 9. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 145997/15577101. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.a)(^z.((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.a)(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 145998/15577515. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 145999/15578475. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 146000/15579027. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((a a)(a a)))) REDUCED to normal form. ------ 146001/15579249. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((((a a) a)(^z.(a a)))(((a a) a)(^z.(a a))))) 4. ==[ alpha ]==> ((^x.x)((((a a) a)(^y.(a a)))(((a a) a)(^z.(a a))))) 5. ==[ beta ]==> ((((a a) a)(^y.(a a)))(((a a) a)(^z.(a a)))) 6. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 146002/15580098. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (b (^z.(^x1.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 146003/15581052. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 146004/15581943. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(b a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(b a))) 5. ==[ beta ]==> ((^y.b)(^z.(b a))) 6. ==[ alpha ]==> ((^x.b)(^y.(b a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 146005/15582120. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146006/15582753. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((b a)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((b a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 146007/15583716. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146008/15583941. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 146009/15584328. ------ 1. ==[ start ]==> (((a b)(a b))(^c.(^a.b))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.b))) REDUCED to normal form. ------ 146010/15585675. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a (^x1.x1))(^y1.a))) 3. ==[ eta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146011/15586092. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 7. ==[ beta ]==> (^y.(^z.a)) 8. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 146012/15586173. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(^x1.z))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(^x1.z))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(^x1.z))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(^x1.z))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(^z.y))) 7. ==[ beta ]==> ((b b)(^y.(^z.y))) 8. ==[ alpha ]==> ((b b)(^x.(^y.x))) REDUCED to normal form. ------ 146013/15586263. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^d.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 146014/15586290. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 146015/15586317. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^c.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(a a))) REDUCED to normal form. ------ 146016/15586362. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146017/15586371. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.b)) REDUCED to normal form. ------ 146018/15586398. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.(z z))) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.(z z))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 146019/15586425. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^a.a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 146020/15586437. ------ 1. ==[ start ]==> ((a a)(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.a))) REDUCED to normal form. ------ 146021/15586464. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) b)(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(x x)))) REDUCED to normal form. ------ 146022/15586473. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 146023/15586491. ------ 1. ==[ start ]==> ((a b)((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 146024/15586500. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 146025/15586545. ------ 1. ==[ start ]==> (((a a)(a a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(^y.b))) REDUCED to normal form. ------ 146026/15586572. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 146027/15586581. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146028/15586608. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 146029/15586662. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146030/15586689. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> ((a (^x.a))(((^z.z) b)((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) b)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.a))(b ((^z.z) b))) 6. ==[ alpha ]==> ((a (^x.a))(b ((^y.y) b))) 7. ==[ beta ]==> ((a (^x.a))(b b)) REDUCED to normal form. ------ 146031/15586770. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((^y.a)((^z.z)((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((^x.a)((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 146032/15586878. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 146033/15587067. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146034/15587121. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 7. ==[ beta ]==> ((^y.a)(^z.(a a))) 8. ==[ alpha ]==> ((^x.a)(^y.(a a))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 146035/15587157. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (b (^y.y)))) REDUCED to normal form. ------ 146036/15587184. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.z))) REDUCED to normal form. ------ 146037/15587211. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b (^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b (^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b (^z.z))(a a))) REDUCED to normal form. ------ 146038/15587238. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 146039/15587346. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(^y.y))((a a) a))) 3. ==[ beta ]==> ((b b)(((a a)(^y.y))((a a) a))) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 146040/15587481. ------ 1. ==[ start ]==> (((a (a a)) b)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 146041/15587508. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (a (((^y.y) a)((^z.z) b))) 6. ==[ alpha ]==> (a (((^x.x) a)((^y.y) b))) 7. ==[ beta ]==> (a (a ((^y.y) b))) 8. ==[ alpha ]==> (a (a ((^x.x) b))) 9. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 146042/15587535. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((a a)(a a)))) REDUCED to normal form. ------ 146043/15587562. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(b (^z.z)))) REDUCED to normal form. ------ 146044/15587679. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 146045/15587706. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 146046/15587760. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 146047/15587787. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a a)((a b)(^y.(a a)))) 6. ==[ alpha ]==> ((a a)((a b)(^x.(a a)))) REDUCED to normal form. ------ 146048/15587850. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(b a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146049/15587904. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)((^x1.x1) b))) 5. ==[ beta ]==> (a ((^z.a)((^x1.x1) b))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y) b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 146050/15588066. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 146051/15588147. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 146052/15588318. ------ 1. ==[ start ]==> (((^a.b) a)(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(b ((a a)(a a)))) 3. ==[ beta ]==> (b (b ((a a)(a a)))) REDUCED to normal form. ------ 146053/15588480. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 146054/15588507. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> (((a b) a)((a a)((a a) a))) REDUCED to normal form. ------ 146055/15588534. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b)(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))((a b)(a b))) REDUCED to normal form. ------ 146056/15588588. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 146057/15588615. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a))(b a))) REDUCED to normal form. ------ 146058/15588642. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 146059/15588669. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 146060/15588687. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (^y.(a a)))) 3. ==[ beta ]==> (b (b (^y.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 146061/15588696. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)((a a)(a a)))) REDUCED to normal form. ------ 146062/15588732. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 146063/15588759. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 146064/15588786. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 146065/15588813. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((b a)(^x.(x x)))) REDUCED to normal form. ------ 146066/15588840. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (((a a)(^y.y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 146067/15588894. ------ 1. ==[ start ]==> (((a b)(a a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))((a b)(^x.b))) REDUCED to normal form. ------ 146068/15588921. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 146069/15588930. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 146070/15588957. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146071/15589011. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 146072/15589092. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 146073/15589146. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.a))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 146074/15589227. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(^z1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))(^z1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.a))) 9. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 11. ==[ beta ]==> ((^y.(a a))(^z.a)) 12. ==[ alpha ]==> ((^x.(a a))(^y.a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 146075/15589308. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146076/15589461. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z) b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) b)) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 146077/15589533. ------ 1. ==[ start ]==> (((^a.b) c)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 146078/15589767. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (^z.(a a)))) 3. ==[ beta ]==> (b (a (^z.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 146079/15589929. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.b)((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.b)((a a) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)((a a) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 146080/15590010. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (b (((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 146081/15590109. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) b) a)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(b a)) REDUCED to normal form. ------ 146082/15590136. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 146083/15590163. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((b a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((b a) c)) 3. ==[ beta ]==> ((a (a b))((b a) c)) REDUCED to normal form. ------ 146084/15590586. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 146085/15590694. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))(b a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))(b a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(b a))) REDUCED to normal form. ------ 146086/15590712. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(a b))(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b)(a b))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 146087/15590721. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 146088/15590919. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a)(b a))(^y.b)) 6. ==[ alpha ]==> (((a a)(b a))(^x.b)) REDUCED to normal form. ------ 146089/15590946. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 146090/15591027. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 146091/15591054. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 146092/15591081. ------ 1. ==[ start ]==> (((a b)(a (a a)))((b a) b)) REDUCED to normal form. ------ 146093/15591279. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 146094/15591477. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a) a)(^z.z))) REDUCED to normal form. ------ 146095/15591504. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 146096/15591585. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 146097/15591612. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(b a))) 5. ==[ beta ]==> ((^y.b)((a a)(b a))) 6. ==[ alpha ]==> ((^x.b)((a a)(b a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 146098/15591792. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 146099/15591810. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (a a))(^z.b))) REDUCED to normal form. ------ 146100/15591837. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.(a a)))) REDUCED to normal form. ------ 146101/15591918. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((b a) a)) 3. ==[ beta ]==> (((^y.y)(a b))((b a) a)) 4. ==[ alpha ]==> (((^x.x)(a b))((b a) a)) 5. ==[ beta ]==> ((a b)((b a) a)) REDUCED to normal form. ------ 146102/15591945. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 146103/15591972. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(a a)) c)) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a)) c)) 5. ==[ beta ]==> (((a b)(^x.x))((a a) c)) REDUCED to normal form. ------ 146104/15592116. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 146105/15592395. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a (^z.z))(a a))) REDUCED to normal form. ------ 146106/15592422. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a a)((a a)(^y.y)))) 3. ==[ beta ]==> ((b a)((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> ((b a)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 146107/15592521. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 146108/15592602. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (b ((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a) a))) 5. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 146109/15592944. ------ 1. ==[ start ]==> (((a b)((a a) a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 146110/15592971. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a)) b)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(a a)) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a)) b)) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 146111/15592998. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.b) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) b) REDUCED to normal form. ------ 146112/15593142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 146113/15593277. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146114/15593385. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.y1)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146115/15593493. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146116/15593547. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 146117/15593610. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 146118/15593637. ------ 1. ==[ start ]==> (((a b)(^a.b))((a b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a b)(a a))) REDUCED to normal form. ------ 146119/15593691. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1) a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1) a)) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 146120/15593745. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a (^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.x1))) REDUCED to normal form. ------ 146121/15593772. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 146122/15593799. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a a)(a b))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a)(a b))) REDUCED to normal form. ------ 146123/15593835. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a b)(^x.x))) REDUCED to normal form. ------ 146124/15593862. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 146125/15593889. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.a))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.a)) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.a)) REDUCED to normal form. ------ 146126/15593916. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 146127/15593943. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 146128/15593997. ------ 1. ==[ start ]==> (((a b)(a b))((a a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a b))((a a)(^x.b))) REDUCED to normal form. ------ 146129/15594024. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a b) a)) 3. ==[ beta ]==> (((a a)((a a) a))((a b) a)) REDUCED to normal form. ------ 146130/15594051. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((a a) a) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a) b)) REDUCED to normal form. ------ 146131/15594357. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 146132/15594465. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(y1 y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146133/15594573. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 146134/15594600. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146135/15594654. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.a)(^z1.(z1 z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 146136/15594744. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)(a a))) 5. ==[ beta ]==> (((a b)(^x.(a a)))(a a)) REDUCED to normal form. ------ 146137/15594771. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.b))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 146138/15594843. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146139/15594852. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 146140/15594969. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 146141/15594996. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 146142/15595023. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> ((a ((^y.y) b))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z)) a)) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y)) a)) 7. ==[ beta ]==> ((a b)((^y.y) a)) 8. ==[ alpha ]==> ((a b)((^x.x) a)) 9. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 146143/15595050. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (a a)) b)) REDUCED to normal form. ------ 146144/15595077. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(((^z.z) a) c)) 3. ==[ beta ]==> (((^y.y)(b a))(((^z.z) a) c)) 4. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a) c)) 5. ==[ beta ]==> ((b a)(((^y.y) a) c)) 6. ==[ alpha ]==> ((b a)(((^x.x) a) c)) 7. ==[ beta ]==> ((b a)(a c)) REDUCED to normal form. ------ 146145/15595158. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 146146/15595185. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(b b)) REDUCED to normal form. ------ 146147/15595293. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 146148/15595347. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 146149/15595437. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 146150/15595518. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(d (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(d (^x1.x1))) 3. ==[ beta ]==> (b (d (^x1.x1))) 4. ==[ alpha ]==> (b (d (^x.x))) REDUCED to normal form. ------ 146151/15595626. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146152/15595743. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(b (a (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)(b (a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)(b (a (^y.y)))) 5. ==[ beta ]==> (a (b (a (^y.y)))) 6. ==[ alpha ]==> (a (b (a (^x.x)))) REDUCED to normal form. ------ 146153/15595761. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 146154/15595788. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(c (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(c (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(c (^y.y))) 5. ==[ beta ]==> (c (^y.y)) 6. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 146155/15595842. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(a (^z.a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(a (^z.a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(a (^z.a))) 5. ==[ beta ]==> ((b ((^y.y) b))(a (^z.a))) 6. ==[ alpha ]==> ((b ((^x.x) b))(a (^y.a))) 7. ==[ beta ]==> ((b b)(a (^y.a))) 8. ==[ alpha ]==> ((b b)(a (^x.a))) REDUCED to normal form. ------ 146156/15595851. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(c a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(c a)) REDUCED to normal form. ------ 146157/15595878. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(b b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(b b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b b)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b b)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146158/15595923. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146159/15595932. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 146160/15595959. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(a (a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 146161/15595986. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((a a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((a a)(a a))) REDUCED to normal form. ------ 146162/15596031. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((^z1.z1)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146163/15596040. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(a b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a b)) REDUCED to normal form. ------ 146164/15596067. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(a (a a))) 3. ==[ beta ]==> ((b (^y.(y y)))(a (a a))) 4. ==[ alpha ]==> ((b (^x.(x x)))(a (a a))) REDUCED to normal form. ------ 146165/15596094. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(a a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(a a)) REDUCED to normal form. ------ 146166/15605766. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a)) b) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a)) b) REDUCED to normal form. ------ 146167/15605790. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a))(^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146168/15605871. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146169/15606033. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))(^z.z))) 3. ==[ beta ]==> (^y.((a (a a))(^z.z))) 4. ==[ alpha ]==> (^x.((a (a a))(^y.y))) REDUCED to normal form. ------ 146170/15606600. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146171/15606726. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146172/15607314. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 146173/15607671. ------ 1. ==[ start ]==> ((^a.(a b))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(b ((a a)(a a)))) 3. ==[ beta ]==> ((b ((a a)(a a))) b) REDUCED to normal form. ------ 146174/15608781. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.((y y)(y y)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.((y y)(y y)))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.((x x)(x x)))) REDUCED to normal form. ------ 146175/15608940. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a b)((a a) a))) 3. ==[ beta ]==> ((((a b)((a a) a))((a b)((a a) a)))(^y.y)) 4. ==[ alpha ]==> ((((a b)((a a) a))((a b)((a a) a)))(^x.x)) REDUCED to normal form. ------ 146176/15609123. ------ 1. ==[ start ]==> (((a b) c)(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(x x)))) REDUCED to normal form. ------ 146177/15611136. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146178/15612291. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 146179/15612450. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((((^y.y) a)((a a) a))(((^y.y) a)((a a) a)))((((^y.y) a)((a a) a))(((^y.y) a)((a a) a)))) 4. ==[ alpha ]==> (((((^x.x) a)((a a) a))(((^y.y) a)((a a) a)))((((^z.z) a)((a a) a))(((^x1.x1) a)((a a) a)))) 5. ==[ beta ]==> (((a ((a a) a))(((^y.y) a)((a a) a)))((((^z.z) a)((a a) a))(((^x1.x1) a)((a a) a)))) 6. ==[ alpha ]==> (((a ((a a) a))(((^x.x) a)((a a) a)))((((^y.y) a)((a a) a))(((^z.z) a)((a a) a)))) 7. ==[ beta ]==> (((a ((a a) a))(a ((a a) a)))((((^y.y) a)((a a) a))(((^z.z) a)((a a) a)))) 8. ==[ alpha ]==> (((a ((a a) a))(a ((a a) a)))((((^x.x) a)((a a) a))(((^y.y) a)((a a) a)))) 9. ==[ beta ]==> (((a ((a a) a))(a ((a a) a)))((a ((a a) a))(((^y.y) a)((a a) a)))) 10. ==[ alpha ]==> (((a ((a a) a))(a ((a a) a)))((a ((a a) a))(((^x.x) a)((a a) a)))) 11. ==[ beta ]==> (((a ((a a) a))(a ((a a) a)))((a ((a a) a))(a ((a a) a)))) REDUCED to normal form. ------ 146180/15612732. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146181/15612957. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 146182/15613530. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b ((a a) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146183/15614226. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.z))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 146184/15614505. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a b))(^x.(^z.z))) 6. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 146185/15614613. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(a (a a)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(a (a a)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(a (a a)))) 5. ==[ beta ]==> ((b a)(^y.(a (a a)))) 6. ==[ alpha ]==> ((b a)(^x.(a (a a)))) REDUCED to normal form. ------ 146186/15615189. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.c)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.c)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.c)) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.c)) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.c)) 7. ==[ beta ]==> ((b b)(^y.c)) 8. ==[ alpha ]==> ((b b)(^x.c)) REDUCED to normal form. ------ 146187/15615198. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 146188/15615306. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 146189/15615387. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(a a))) REDUCED to normal form. ------ 146190/15615414. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 146191/15615441. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 146192/15615471. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(^y.a))) REDUCED to normal form. ------ 146193/15615498. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) b)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) b)(^y.(y y))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 146194/15615507. ------ 1. ==[ start ]==> (((a a) a)((^b.b)(a (a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 146195/15615525. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 146196/15615534. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 146197/15615552. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.a))) REDUCED to normal form. ------ 146198/15615606. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146199/15615615. ------ 1. ==[ start ]==> (((a a) b)((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 146200/15615633. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 146201/15615642. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 146202/15615687. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 146203/15615696. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 146204/15615714. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.y))) REDUCED to normal form. ------ 146205/15615750. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(a a)))) 5. ==[ beta ]==> ((^y.a)((a a)(a a))) 6. ==[ alpha ]==> ((^x.a)((a a)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 146206/15615822. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.(^z1.z1)) a) a)) 3. ==[ beta ]==> ((^y.y)(((^y1.(^z1.z1)) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a) a)) 5. ==[ beta ]==> (((^y.(^z.z)) a) a) 6. ==[ alpha ]==> (((^x.(^y.y)) a) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 146207/15615885. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 146208/15615912. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(y1 y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 146209/15615939. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 146210/15616047. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 146211/15616128. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a b)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 146212/15616155. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 146213/15616281. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 146214/15616299. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) b)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(b ((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b ((^x.x) a))) 5. ==[ beta ]==> (((a a)(a (a a)))(b a)) REDUCED to normal form. ------ 146215/15616326. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 146216/15616353. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x)))((b a)(^z.z))) 6. ==[ alpha ]==> ((a (a (^x.x)))((b a)(^y.y))) REDUCED to normal form. ------ 146217/15616380. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 146218/15616407. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a b))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a b))) REDUCED to normal form. ------ 146219/15616560. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.(a a)))) REDUCED to normal form. ------ 146220/15616632. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b (^z.z))(^x1.x1))) REDUCED to normal form. ------ 146221/15616929. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (a (((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 146222/15616965. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> (b ((^y.(^z.z))((a a)(a a)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(a a)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146223/15616992. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)(b (^y.y)))) 3. ==[ beta ]==> ((((a a) a) a)(b (^y.y))) 4. ==[ alpha ]==> ((((a a) a) a)(b (^x.x))) REDUCED to normal form. ------ 146224/15617010. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((b (^y.y)) a)) 3. ==[ beta ]==> (((a a) a)((b (^y.y)) a)) 4. ==[ alpha ]==> (((a a) a)((b (^x.x)) a)) REDUCED to normal form. ------ 146225/15617037. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 146226/15617046. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 146227/15617073. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.a)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.a)) REDUCED to normal form. ------ 146228/15617100. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 146229/15617343. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146230/15617352. ------ 1. ==[ start ]==> ((a (a b))(b ((a a)(a a)))) REDUCED to normal form. ------ 146231/15617442. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z) c)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z) c)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z) c)) IRREDUCIBLE: cycle. ------ 146232/15617721. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 146233/15617910. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(a a))((a a) a))) 3. ==[ beta ]==> (b ((^y.(a a))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((a a) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 146234/15617955. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.(a a))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 146235/15617982. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146236/15618036. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 146237/15618117. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(a a)) a)) 3. ==[ beta ]==> (b (((a a)(a a)) a)) REDUCED to normal form. ------ 146238/15618126. ------ 1. ==[ start ]==> (((a b) b)((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 146239/15618153. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 146240/15618180. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 146241/15618261. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 146242/15618288. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((^y.(y y))((^z.b)(^x1.b))) 6. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.b))) 7. ==[ beta ]==> (((^y.b)(^z.b))((^y.b)(^z.b))) 8. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(^x1.b))) 9. ==[ beta ]==> (b ((^z.b)(^x1.b))) 10. ==[ alpha ]==> (b ((^x.b)(^y.b))) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 146243/15618315. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 146244/15618342. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 146245/15618432. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b ((^y.y) b))) 3. ==[ beta ]==> (((a (^x.x))(a b))(b b)) REDUCED to normal form. ------ 146246/15618459. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(a ((a a)(a a)))) REDUCED to normal form. ------ 146247/15618486. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z) b)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) b)(a a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(b (a a))) REDUCED to normal form. ------ 146248/15618513. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 146249/15618540. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((b a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) a)((b a)((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a) a)((b a)((^x.x) a))) 5. ==[ beta ]==> ((((a a) a) a)((b a) a)) REDUCED to normal form. ------ 146250/15618567. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 146251/15618594. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 8. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 146252/15618621. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)((a a) a))) REDUCED to normal form. ------ 146253/15618801. ------ 1. ==[ start ]==> (((a b) c)(a (^c.(a a)))) 2. ==[ alpha ]==> (((a b) c)(a (^x.(a a)))) REDUCED to normal form. ------ 146254/15618828. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)(a a))) 3. ==[ beta ]==> (((a a) b)((^y.y)(a a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(a a))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 146255/15618855. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 146256/15618873. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((b a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.a))) REDUCED to normal form. ------ 146257/15618900. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(z z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 146258/15618909. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 146259/15618936. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 146260/15618954. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a b)(^y.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a b)(^y.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a b)(^x.a))) REDUCED to normal form. ------ 146261/15618990. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146262/15619017. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 146263/15619035. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 146264/15619044. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.a))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 146265/15619071. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(b a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(b a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 146266/15619098. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 146267/15619467. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z) a)) 5. ==[ beta ]==> (b ((^z.z) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 146268/15619548. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146269/15619719. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c (^d.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c (^z.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(c (^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.a))) REDUCED to normal form. ------ 146270/15619746. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 146271/15619800. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 146272/15619818. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 146273/15619854. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 146274/15619881. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 146275/15620205. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146276/15620385. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (b ((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 146277/15620610. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 146278/15620682. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> (b ((b a)(^x1.x1))) 4. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 146279/15620745. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 146280/15620790. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146281/15620817. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 146282/15621096. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146283/15621303. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.b) d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b) d)) 3. ==[ beta ]==> (b ((^z.b) d)) 4. ==[ alpha ]==> (b ((^x.b) d)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 146284/15621420. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c (^z.(a a)))) REDUCED to normal form. ------ 146285/15621447. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 146286/15621492. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((a a)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 146287/15621546. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a b)(^z.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a b)(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 146288/15621582. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(a (a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 146289/15621609. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 146290/15621627. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (a a))(^y.a))) 3. ==[ beta ]==> (b ((a (a a))(^y.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 146291/15621636. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 146292/15621663. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(a b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 146293/15621690. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 146294/15621735. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((a a)(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146295/15621771. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 146296/15621942. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(b ((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a b))(b (a a))) REDUCED to normal form. ------ 146297/15621969. ------ 1. ==[ start ]==> (((a b)((a a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 146298/15621996. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(a a))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 146299/15622023. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 146300/15622077. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(a (a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (a a))) REDUCED to normal form. ------ 146301/15622104. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b (a a))((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b (a a))((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b (a a))((a (a a))(^y.y))) 6. ==[ alpha ]==> ((b (a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 146302/15622131. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x) a)((a a) a))) 3. ==[ beta ]==> ((a ((a a)(a a)))(a ((a a) a))) REDUCED to normal form. ------ 146303/15622302. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 146304/15622410. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146305/15622446. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((b b)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 146306/15622473. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a) b) REDUCED to normal form. ------ 146307/15622527. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 146308/15622554. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 146309/15622635. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 146310/15622653. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(a a)) a)) 3. ==[ beta ]==> (b ((^y.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 146311/15622797. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c (^x1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 146312/15622824. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b (^y.b))) REDUCED to normal form. ------ 146313/15623211. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(b ((a a) a))) REDUCED to normal form. ------ 146314/15623301. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2)) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2)) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146315/15623490. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146316/15623526. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a)(a (a a)))) 3. ==[ beta ]==> ((b c)((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((b c)((^x.a)(a (a a)))) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 146317/15623553. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 146318/15623598. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((a a) a) a)) 3. ==[ beta ]==> ((b (^y.y))(((a a) a) a)) 4. ==[ alpha ]==> ((b (^x.x))(((a a) a) a)) REDUCED to normal form. ------ 146319/15623625. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z)) b) 6. ==[ alpha ]==> (((^x.x)(^y.y)) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 146320/15623661. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a (^x.x))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 146321/15623688. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 146322/15623760. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^c.a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 146323/15623877. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 146324/15623904. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(a (^z.a))) 3. ==[ beta ]==> ((b (^y.a))(a (^z.a))) 4. ==[ alpha ]==> ((b (^x.a))(a (^y.a))) REDUCED to normal form. ------ 146325/15623931. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 146326/15623994. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(c d)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(c d)) REDUCED to normal form. ------ 146327/15624156. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(b (a (a a)))) 3. ==[ beta ]==> (((a b)(a a))(b (a (a a)))) REDUCED to normal form. ------ 146328/15624183. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a b))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a b))(a (^x.x))) REDUCED to normal form. ------ 146329/15624210. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (a a))(a a))) REDUCED to normal form. ------ 146330/15624264. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))((a (^z.z)) a)) REDUCED to normal form. ------ 146331/15624291. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a a)(a (a a)))) 3. ==[ beta ]==> ((b ((^y.y) a))((a a)(a (a a)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a a)(a (a a)))) 5. ==[ beta ]==> ((b a)((a a)(a (a a)))) REDUCED to normal form. ------ 146332/15624462. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> ((^y.y)(((^z.z) a) b)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 7. ==[ beta ]==> (((^y.y) a) b) 8. ==[ alpha ]==> (((^x.x) a) b) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 146333/15624543. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (b ((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (b ((^x.(x x)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 146334/15624651. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1) a)(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a)(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146335/15624768. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 146336/15624813. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.a) a)) 3. ==[ beta ]==> ((^y.y)((^x1.a) a)) 4. ==[ alpha ]==> ((^x.x)((^y.a) a)) 5. ==[ beta ]==> ((^y.a) a) 6. ==[ alpha ]==> ((^x.a) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 146337/15624867. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.a) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.z) c)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.z) c)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.z) c)) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.z) c)) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.y) c)) 7. ==[ beta ]==> ((b b)((^y.y) c)) 8. ==[ alpha ]==> ((b b)((^x.x) c)) 9. ==[ beta ]==> ((b b) c) REDUCED to normal form. ------ 146338/15624876. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.a))) REDUCED to normal form. ------ 146339/15624903. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146340/15624948. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> (b ((a (^z.z)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 146341/15624957. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 146342/15624984. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 146343/15625011. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(b (^z.z))) REDUCED to normal form. ------ 146344/15625056. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((a a)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146345/15625065. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 146346/15625092. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((b (^y.(y y)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((b (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((b (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 146347/15625119. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(a (^y.y))) REDUCED to normal form. ------ 146348/15627417. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((a a)(a a)))) 3. ==[ beta ]==> (^y.((^z.((a a)(a a)))(^z.((a a)(a a))))) 4. ==[ alpha ]==> (^x.((^y.((a a)(a a)))(^z.((a a)(a a))))) 5. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 146349/15634800. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a)) c) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a)) c) REDUCED to normal form. ------ 146350/15634878. ------ 1. ==[ start ]==> ((^a.b)((^b.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 146351/15635148. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146352/15635418. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^z.(^x1.x1)))(((^y.b)(^z.(^x1.x1)))((^y.b)(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.b)(^y1.(^z1.z1)))((^x2.b)(^y2.(^z2.z2))))) 5. ==[ beta ]==> (b (((^x1.b)(^y1.(^z1.z1)))((^x2.b)(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (b (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1))))) 7. ==[ beta ]==> (b (b ((^x1.b)(^y1.(^z1.z1))))) 8. ==[ alpha ]==> (b (b ((^x.b)(^y.(^z.z))))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 146353/15635643. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146354/15636201. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> ((((^y.b)((^z.z)(a a)))((^y.b)((^z.z)(a a))))((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((^x.b)((^y.y)(a a)))((^z.b)((^x1.x1)(a a))))((^y1.b)((^z1.z1)(a a)))) 5. ==[ beta ]==> ((b ((^z.b)((^x1.x1)(a a))))((^y1.b)((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((b ((^x.b)((^y.y)(a a))))((^z.b)((^x1.x1)(a a)))) 7. ==[ beta ]==> ((b b)((^z.b)((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((b b)((^x.b)((^y.y)(a a)))) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 146355/15636714. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 146356/15637101. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (^y.(((a a)((a a)(a a)))((a a)((a a)(a a))))) 4. ==[ alpha ]==> (^x.(((a a)((a a)(a a)))((a a)((a a)(a a))))) REDUCED to normal form. ------ 146357/15637104. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((a a)(a a)))) REDUCED to normal form. ------ 146358/15637308. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b)(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.b)(a b))((^z.b)(a b)))) 4. ==[ alpha ]==> ((^x.x)(((^y.b)(a b))((^z.b)(a b)))) 5. ==[ beta ]==> (((^y.b)(a b))((^z.b)(a b))) 6. ==[ alpha ]==> (((^x.b)(a b))((^y.b)(a b))) 7. ==[ beta ]==> (b ((^y.b)(a b))) 8. ==[ alpha ]==> (b ((^x.b)(a b))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 146359/15637824. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 146360/15638157. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (b (^z.((^x1.x1) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 146361/15638499. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 146362/15638739. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146363/15638832. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((^x1.x1) b))) 5. ==[ beta ]==> (b (^z.((^x1.x1) b))) 6. ==[ alpha ]==> (b (^x.((^y.y) b))) 7. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 146364/15639444. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 146365/15639576. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^x1.b)(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (b (^x1.(^y1.y1))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 146366/15639750. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 146367/15640308. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(z a))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(z a))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(y a))) 5. ==[ beta ]==> ((a b)(^y.(y a))) 6. ==[ alpha ]==> ((a b)(^x.(x a))) REDUCED to normal form. ------ 146368/15640494. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 146369/15640830. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.((a a)(^z.z)))) 6. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 146370/15641334. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 146371/15642018. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (b (^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 146372/15642225. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.(x x)))) REDUCED to normal form. ------ 146373/15642414. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(a y))) 3. ==[ eta ]==> ((((^x.x)(a a))((a a) a)) a) 4. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 146374/15642573. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146375/15643125. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.((z z) z))) 3. ==[ beta ]==> (b (^z.((z z) z))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 146376/15643413. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a b)(^x.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 146377/15643548. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 146378/15643683. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 146379/15643734. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.a)(a (^y1.y1)))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146380/15643908. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (b (^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 146381/15644178. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(b (^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146382/15644232. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(a (^z.z)))) 7. ==[ beta ]==> ((b b)(^y.(a (^z.z)))) 8. ==[ alpha ]==> ((b b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 146383/15644241. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.c)) REDUCED to normal form. ------ 146384/15644313. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 146385/15644349. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^c.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.b)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 146386/15644430. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.z1))) REDUCED to normal form. ------ 146387/15644457. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^c.a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.a)) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.a)) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.a)) REDUCED to normal form. ------ 146388/15644484. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^b.a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.a)) REDUCED to normal form. ------ 146389/15644532. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)(((a a)(a a))(^y.a))) 3. ==[ beta ]==> (a (((a a)(a a))(^y.a))) 4. ==[ alpha ]==> (a (((a a)(a a))(^x.a))) REDUCED to normal form. ------ 146390/15644559. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) b)(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(x x)))) REDUCED to normal form. ------ 146391/15644568. ------ 1. ==[ start ]==> ((a b)((^b.b)(a (a a)))) 2. ==[ alpha ]==> ((a b)((^x.x)(a (a a)))) 3. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 146392/15644586. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 146393/15644613. ------ 1. ==[ start ]==> (((^a.a) b)((b a)(^c.a))) 2. ==[ alpha ]==> (((^x.x) b)((b a)(^y.a))) 3. ==[ beta ]==> (b ((b a)(^y.a))) 4. ==[ alpha ]==> (b ((b a)(^x.a))) REDUCED to normal form. ------ 146394/15644640. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 146395/15644667. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))(^y.(a a)))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 146396/15644694. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 146397/15644748. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 146398/15644784. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(((^z.z) b)((^z.z) b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) b)((^z.z) b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(b ((^z.z) b))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(b ((^y.y) b))) 7. ==[ beta ]==> (((a a)(a (^x.x)))(b b)) REDUCED to normal form. ------ 146399/15644802. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 146400/15644811. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 146401/15644838. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(b (^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(b (^z.z)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 146402/15644883. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 146403/15644910. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)((b (^y.y)) b)) 3. ==[ beta ]==> ((a a)((b (^y.y)) b)) 4. ==[ alpha ]==> ((a a)((b (^x.x)) b)) REDUCED to normal form. ------ 146404/15644937. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(a a)) c)) REDUCED to normal form. ------ 146405/15645081. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 146406/15645108. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 146407/15645252. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (b (^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 146408/15645306. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((b (^y.y))(a a))) 3. ==[ beta ]==> (((a a)(a a))((b (^y.y))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((b (^x.x))(a a))) REDUCED to normal form. ------ 146409/15645333. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(a a))(a (^z.z)))) REDUCED to normal form. ------ 146410/15645468. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146411/15645495. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 146412/15645549. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(b a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(b a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 9. ==[ beta ]==> ((^y.y)(b a)) 10. ==[ alpha ]==> ((^x.x)(b a)) 11. ==[ beta ]==> (b a) REDUCED to normal form. ------ 146413/15645603. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1) b))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 7. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 8. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 9. ==[ beta ]==> (a ((^y.y) b)) 10. ==[ alpha ]==> (a ((^x.x) b)) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 146414/15645630. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 146415/15645693. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b (^z.z))(^x1.x1))) REDUCED to normal form. ------ 146416/15645720. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 146417/15645756. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 146418/15645783. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 146419/15645864. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(a a))(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(a b))) 5. ==[ beta ]==> ((a a)((^y.(a a))(a b))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a b))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 146420/15645891. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 146421/15646017. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b ((a (^y.y))(^z.(a a)))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 146422/15646098. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(a a)) b)) REDUCED to normal form. ------ 146423/15646125. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) b) c)) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) b) c)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b) c)) 5. ==[ beta ]==> ((a (^x.(x x)))(b c)) REDUCED to normal form. ------ 146424/15646242. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a))(^y.b))) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 146425/15646269. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b)(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 146426/15646350. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^x.x))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 9. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 10. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 146427/15646377. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 146428/15646404. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 146429/15646413. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b ((a a)(a a)))) 3. ==[ beta ]==> ((^y.b)(b ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.b)(b ((a a)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 146430/15646494. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) b)(a (^x1.x1)))) IRREDUCIBLE: cycle. ------ 146431/15646575. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 146432/15646602. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> ((a b)((a a)((a a) a))) REDUCED to normal form. ------ 146433/15646629. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a b)(a b))) 3. ==[ beta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 146434/15646683. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.y))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 146435/15646764. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 146436/15646791. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 146437/15646863. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 146438/15646890. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 146439/15646962. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (b ((a a)(^y.a))) 6. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 146440/15646971. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a))((a a) a))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 146441/15646998. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(a b))) 3. ==[ beta ]==> ((a (a a))((^y.b)(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(a b))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 146442/15647178. ------ 1. ==[ start ]==> (((a b) b)(((a a)(a a)) a)) REDUCED to normal form. ------ 146443/15647205. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) b) b)) 3. ==[ beta ]==> (((a a) a)(((^y.y) b) b)) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b) b)) 5. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 146444/15647232. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.(^z.z))) c)) REDUCED to normal form. ------ 146445/15647457. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 146446/15647484. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 146447/15647610. ------ 1. ==[ start ]==> (((^a.b) c)((^d.a) d)) 2. ==[ alpha ]==> (((^x.b) c)((^y.a) d)) 3. ==[ beta ]==> (b ((^y.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 146448/15647709. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a b))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 146449/15647844. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)((^z.z) b))) 3. ==[ beta ]==> (b ((a a)((^z.z) b))) 4. ==[ alpha ]==> (b ((a a)((^x.x) b))) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 146450/15647880. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a a) b)(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) b)(^y.y))) 5. ==[ beta ]==> (((a a) b)(b (^y.y))) 6. ==[ alpha ]==> (((a a) b)(b (^x.x))) REDUCED to normal form. ------ 146451/15647907. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 146452/15647961. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 146453/15647988. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 146454/15648042. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146455/15648069. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.(a a))) 6. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 146456/15648096. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 146457/15648150. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 146458/15648186. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z) b)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y) b)) 5. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 146459/15648213. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 146460/15648240. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 146461/15648321. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 146462/15648348. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a b) a)((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a b) a)((^x.b)(^y.a))) 5. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 146463/15648402. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 146464/15648429. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 146465/15648519. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a ((^z.z) b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a ((^z.z) b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a ((^z.z) b))) 5. ==[ beta ]==> (b (a ((^z.z) b))) 6. ==[ alpha ]==> (b (a ((^x.x) b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 146466/15648600. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b (((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 146467/15648708. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((b a)((^y.y)(a b))) 6. ==[ alpha ]==> ((b a)((^x.x)(a b))) 7. ==[ beta ]==> ((b a)(a b)) REDUCED to normal form. ------ 146468/15648735. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 146469/15648789. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))(b a))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))(b a))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(b a))) REDUCED to normal form. ------ 146470/15648852. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 146471/15648879. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 146472/15648906. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 146473/15648933. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 146474/15648996. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)((a a) a))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 146475/15649023. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 146476/15649050. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))(((^y.y)(a a))((^y.y)(a a)))) 8. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((^y.y)(a a)))) 9. ==[ beta ]==> ((a (a a))((a a)((^y.y)(a a)))) 10. ==[ alpha ]==> ((a (a a))((a a)((^x.x)(a a)))) 11. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 146477/15649077. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 146478/15649104. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(b a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(b a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(b a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 146479/15649131. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 146480/15649158. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 146481/15649266. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 146482/15649437. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 146483/15649545. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146484/15649572. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 146485/15649599. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 146486/15649653. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^z.z)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y)(a a)))) 9. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(a a)))) 10. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(a a)))) 11. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 146487/15649743. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 146488/15649770. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 146489/15649797. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(^z.a))) REDUCED to normal form. ------ 146490/15649851. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a) a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 146491/15649887. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 146492/15649914. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a b)(a b))) REDUCED to normal form. ------ 146493/15649941. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 146494/15649968. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 146495/15649995. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)(b a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)(b a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(b a))) 5. ==[ beta ]==> ((a b)((^y.y)(b a))) 6. ==[ alpha ]==> ((a b)((^x.x)(b a))) 7. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 146496/15650049. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 146497/15650076. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 146498/15650103. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 146499/15650157. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 146500/15650184. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((a b)((^y.b)(^y.b))) 6. ==[ alpha ]==> ((a b)((^x.b)(^y.b))) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 146501/15650355. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b)((^z.z) a))) 3. ==[ beta ]==> (b ((a b)((^z.z) a))) 4. ==[ alpha ]==> (b ((a b)((^x.x) a))) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 146502/15650463. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1) a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146503/15650517. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y) b)((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)((a a)(^y.y)))) 6. ==[ alpha ]==> (b ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 146504/15650553. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a a)(^y1.y1))(^z1.z1))) REDUCED to normal form. ------ 146505/15650634. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(((a a) a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.(a a))(((a a) a)(^y.(y y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 146506/15650661. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 146507/15650688. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 146508/15650715. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.b))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 146509/15650742. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 146510/15650796. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((a a)(^y1.y1)) a)) REDUCED to normal form. ------ 146511/15650823. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((b (^x.x))((a a) b)) REDUCED to normal form. ------ 146512/15650859. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.b)(^y.a))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 146513/15650913. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 146514/15650967. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.b))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.b))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.b))) 7. ==[ beta ]==> ((a a)((^y.a)(^z.b))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.b))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 146515/15650994. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 146516/15651021. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 146517/15651219. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 5. ==[ beta ]==> ((a (^y.y))(a b)) 6. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 146518/15651498. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((b b)(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((b b)((a a) a)) REDUCED to normal form. ------ 146519/15651525. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a b) b)) REDUCED to normal form. ------ 146520/15651705. ------ 1. ==[ start ]==> (((^a.b)(a b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (b (a ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 146521/15651714. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.b))(a a)) REDUCED to normal form. ------ 146522/15651768. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 146523/15651813. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146524/15651912. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(a (^x.(a a)))) REDUCED to normal form. ------ 146525/15651939. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.b)(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.b)(a a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(a a))) 5. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 146526/15651993. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 146527/15652020. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 146528/15652047. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 146529/15652074. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 146530/15652101. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.y)(a b))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(a b))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(a b))) 5. ==[ beta ]==> (((a a)((a a) a))(a b)) REDUCED to normal form. ------ 146531/15652128. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 146532/15652182. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 146533/15652209. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((b (a (^x.x)))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> ((b (a (^x.x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 146534/15652236. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 146535/15652263. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 146536/15652353. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2)(^y2.y2))(a (^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2)(^y2.y2))(a (^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146537/15652434. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 146538/15652578. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((b c)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((b c)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((b c)(a (^y.(y y)))) 6. ==[ alpha ]==> ((b c)(a (^x.(x x)))) REDUCED to normal form. ------ 146539/15652605. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 146540/15652713. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a)) c)) 3. ==[ beta ]==> ((a (^y.y))((a (a a)) c)) 4. ==[ alpha ]==> ((a (^x.x))((a (a a)) c)) REDUCED to normal form. ------ 146541/15652812. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(a ((a a) a))) 3. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 146542/15652821. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^c.a) a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.a) a)) 3. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 146543/15652848. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 146544/15652920. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146545/15652983. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 146546/15653046. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(b (^x.x))) a) REDUCED to normal form. ------ 146547/15653073. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 146548/15653100. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a b)(^y.y)) 10. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 146549/15653127. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 146550/15653154. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((b a)(^y.y)) 10. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 146551/15653181. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x))) a) REDUCED to normal form. ------ 146552/15653208. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 146553/15653235. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 146554/15653343. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(b (^z.(z z)))) 3. ==[ beta ]==> ((b ((^y.y) a))(b (^z.(z z)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(b (^y.(y y)))) 5. ==[ beta ]==> ((b a)(b (^y.(y y)))) 6. ==[ alpha ]==> ((b a)(b (^x.(x x)))) REDUCED to normal form. ------ 146555/15653370. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 146556/15653424. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 146557/15653595. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 146558/15653820. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((a (^z.z)) b)) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z)) b)) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y)) b)) 5. ==[ beta ]==> (a ((a (^y.y)) b)) 6. ==[ alpha ]==> (a ((a (^x.x)) b)) REDUCED to normal form. ------ 146559/15653838. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(b (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(b (a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(b (a (^z.z)))) 6. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 146560/15653865. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) a))) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 146561/15653919. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a a)(a (^z.z)))) 5. ==[ beta ]==> ((b ((^y.y) b))((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((b ((^x.x) b))((a a)(a (^y.y)))) 7. ==[ beta ]==> ((b b)((a a)(a (^y.y)))) 8. ==[ alpha ]==> ((b b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 146562/15653928. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^a.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) c)) 3. ==[ beta ]==> (((a (a a))(^x.x)) c) REDUCED to normal form. ------ 146563/15653955. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((a (^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146564/15654000. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(a c)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 146565/15654009. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 146566/15654036. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((a a) b)) 3. ==[ beta ]==> (((a a)(^y.(a a)))((a a) b)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a) b)) REDUCED to normal form. ------ 146567/15654063. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 146568/15654108. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(b a)) 3. ==[ beta ]==> ((^y.(^z.z))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146569/15654117. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(^y1.y1))) REDUCED to normal form. ------ 146570/15654144. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((a a) a)) 3. ==[ beta ]==> ((b (^y.(y y)))((a a) a)) 4. ==[ alpha ]==> ((b (^x.(x x)))((a a) a)) REDUCED to normal form. ------ 146571/15654171. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((^y.y) a)) 3. ==[ beta ]==> ((((a a)(a a))(^x.a)) a) REDUCED to normal form. ------ 146572/15654197. ------ 1. ==[ start ]==> (^a.((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.((b (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 146573/15654198. ------ 1. ==[ start ]==> (a ((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (a ((b (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 146574/15663894. ------ 1. ==[ start ]==> ((^a.a)((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 146575/15663921. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(a a))(^y.a))) 3. ==[ beta ]==> ((((a a)(a a))(^y.a))(((a a)(a a))(^y.a))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.a))(((a a)(a a))(^y.a))) REDUCED to normal form. ------ 146576/15663948. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) b)(^z.(z z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 146577/15663984. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146578/15664029. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^z.z))(^x1.b))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 146579/15664146. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146580/15664257. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.(^x2.x2)) a))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.(^x2.x2)) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (^y.((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146581/15664389. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 146582/15664671. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.(^z1.z1)) x1))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 146583/15665049. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(b (^z.z)))) REDUCED to normal form. ------ 146584/15665271. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a b)(^y.(a a)))) 3. ==[ beta ]==> ((((a b)(^y.(a a)))((a b)(^y.(a a))))((a b)(^y.(a a)))) 4. ==[ alpha ]==> ((((a b)(^x.(a a)))((a b)(^y.(a a))))((a b)(^z.(a a)))) REDUCED to normal form. ------ 146585/15665445. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a a) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 146586/15665604. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 146587/15666171. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (^z.(a a)))) 3. ==[ beta ]==> (^y.((b (^z.(a a)))(b (^z.(a a))))) 4. ==[ alpha ]==> (^x.((b (^y.(a a)))(b (^z.(a a))))) REDUCED to normal form. ------ 146588/15666378. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a b)(^z.b))) 3. ==[ beta ]==> ((^y.y)(((a b)(^z.b))((a b)(^z.b)))) 4. ==[ alpha ]==> ((^x.x)(((a b)(^y.b))((a b)(^z.b)))) 5. ==[ beta ]==> (((a b)(^y.b))((a b)(^z.b))) 6. ==[ alpha ]==> (((a b)(^x.b))((a b)(^y.b))) REDUCED to normal form. ------ 146589/15666552. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> (b (^x1.((a a)(a a)))) 4. ==[ alpha ]==> (b (^x.((a a)(a a)))) REDUCED to normal form. ------ 146590/15667236. ------ 1. ==[ start ]==> (((a b) c)(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a b) c)(^x.((^y.y) b))) 3. ==[ beta ]==> (((a b) c)(^x.b)) REDUCED to normal form. ------ 146591/15667902. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.x1))) 5. ==[ beta ]==> (b (^z.(^x1.x1))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 146592/15668358. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.b)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 146593/15668820. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 146594/15669117. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 146595/15669249. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146596/15669378. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(^d.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.a))) 5. ==[ beta ]==> ((a b)(^y.(^z.a))) 6. ==[ alpha ]==> ((a b)(^x.(^y.a))) REDUCED to normal form. ------ 146597/15669909. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 146598/15670170. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146599/15671088. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 146600/15671097. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a b)(^x.b))(^y.(y y))) REDUCED to normal form. ------ 146601/15672033. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> ((b (^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 146602/15672195. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 146603/15672204. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.((y y) y))) REDUCED to normal form. ------ 146604/15672339. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.a))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 146605/15672483. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 146606/15672804. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146607/15672978. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 146608/15673086. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146609/15673248. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 146610/15673311. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 146611/15673383. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 146612/15673392. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 146613/15673446. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 146614/15673491. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146615/15673527. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.b)) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.b)) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.b)) REDUCED to normal form. ------ 146616/15673554. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.(y y))) REDUCED to normal form. ------ 146617/15673593. ------ 1. ==[ start ]==> ((a a)((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)((b (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 146618/15673620. ------ 1. ==[ start ]==> ((a (a a))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a a))(((a a)(a a))(^x.a))) REDUCED to normal form. ------ 146619/15673647. ------ 1. ==[ start ]==> ((a b)(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((a b)(((^x.x) b)(^y.(y y)))) 3. ==[ beta ]==> ((a b)(b (^y.(y y)))) 4. ==[ alpha ]==> ((a b)(b (^x.(x x)))) REDUCED to normal form. ------ 146620/15673656. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 146621/15673683. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 146622/15673701. ------ 1. ==[ start ]==> (((a a)(a a))((b a)(^c.a))) 2. ==[ alpha ]==> (((a a)(a a))((b a)(^x.a))) REDUCED to normal form. ------ 146623/15673728. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(^z.b))) REDUCED to normal form. ------ 146624/15673764. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(a a))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 146625/15673791. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 146626/15673845. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 146627/15673863. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 146628/15673926. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 146629/15673953. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.(^x2.x2)) a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.(^x2.x2)) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146630/15674088. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 146631/15674196. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.b)(^z.(^x1.x1)))((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (b ((^x1.b)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 146632/15674223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)(^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 146633/15674277. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 7. ==[ beta ]==> ((^y.(y y))(^z.z)) 8. ==[ alpha ]==> ((^x.(x x))(^y.y)) 9. ==[ beta ]==> ((^y.y)(^y.y)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146634/15674304. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 146635/15674340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (b (^z.z)))) REDUCED to normal form. ------ 146636/15674367. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a ((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 146637/15674394. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((b (^y.y))(a a))) REDUCED to normal form. ------ 146638/15674502. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((b a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b b)((b a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b b)((b a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b b)((b a)(^y.y))) 6. ==[ alpha ]==> ((b b)((b a)(^x.x))) REDUCED to normal form. ------ 146639/15674637. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))(b a))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)(b a))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)(b a))) 5. ==[ beta ]==> (((a (a a)) b)(b a)) REDUCED to normal form. ------ 146640/15674664. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> (a ((a (a a))(a (^y.(^z.z))))) 6. ==[ alpha ]==> (a ((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 146641/15674691. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z) b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 146642/15674718. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))((a a)(a a)))) REDUCED to normal form. ------ 146643/15674745. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)(b (^z.z)))) 3. ==[ beta ]==> ((a (^y.a))((a a)(b (^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(b (^y.y)))) REDUCED to normal form. ------ 146644/15674835. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x))(b (^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 146645/15674862. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 146646/15674889. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((b a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 146647/15674943. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.b))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.b))) 7. ==[ beta ]==> ((a a)((a a)(^y.b))) 8. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 146648/15674970. ------ 1. ==[ start ]==> ((a ((a a) a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a b)(^x.(a a)))) REDUCED to normal form. ------ 146649/15675006. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 146650/15675060. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((^z.(z z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((^x.(x x))(a (^y.(^z.z))))) 7. ==[ beta ]==> (a ((a (^y.(^z.z)))(a (^y.(^z.z))))) 8. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 146651/15675141. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(b (^y.y)))) 5. ==[ beta ]==> (((a a) a)(b (^y.y))) 6. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 146652/15675222. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 9. ==[ beta ]==> ((a a)(^y.a)) 10. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 146653/15675303. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 146654/15675474. ------ 1. ==[ start ]==> (((^a.b) a)(c ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) a)(c ((^y.y) b))) 3. ==[ beta ]==> (b (c ((^y.y) b))) 4. ==[ alpha ]==> (b (c ((^x.x) b))) 5. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 146655/15675492. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 146656/15675636. ------ 1. ==[ start ]==> ((((a a) a) b)((b a)(a (a a)))) REDUCED to normal form. ------ 146657/15675663. ------ 1. ==[ start ]==> (((a b) a)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) a)(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 146658/15675690. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)((a a) a))) REDUCED to normal form. ------ 146659/15675744. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 146660/15675771. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)(^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 146661/15675798. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (a a))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (a a))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(b a))) 5. ==[ beta ]==> ((^y.a)((a (a a))(b a))) 6. ==[ alpha ]==> ((^x.a)((a (a a))(b a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 146662/15675825. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 146663/15675843. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (^b.b))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (^y.y))) 3. ==[ beta ]==> (b (c (^y.y))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 146664/15675852. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a b)(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 146665/15675870. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.(a a)))) REDUCED to normal form. ------ 146666/15675915. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 146667/15675942. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(b (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 146668/15675969. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 146669/15675996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) a)((b a)(^z.(z z)))) 6. ==[ alpha ]==> (((^x.x) a)((b a)(^y.(y y)))) 7. ==[ beta ]==> (a ((b a)(^y.(y y)))) 8. ==[ alpha ]==> (a ((b a)(^x.(x x)))) REDUCED to normal form. ------ 146670/15676023. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 146671/15676050. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a b)(a a))((a a)(^y.a))) 4. ==[ alpha ]==> (((a b)(a a))((a a)(^x.a))) REDUCED to normal form. ------ 146672/15676077. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)(^y.b))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.b))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.b))) REDUCED to normal form. ------ 146673/15676086. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(a b))) 3. ==[ beta ]==> ((^y.(a a))((^z.b)(a b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.b)(a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 146674/15676113. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 146675/15676167. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(b a))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(b a))) 7. ==[ beta ]==> ((^y.(y y))(b a)) 8. ==[ alpha ]==> ((^x.(x x))(b a)) 9. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 146676/15676248. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> (b ((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 146677/15676302. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 146678/15676329. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146679/15676464. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 146680/15676644. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y) b)) 5. ==[ beta ]==> ((a (a a))((^y.y) b)) 6. ==[ alpha ]==> ((a (a a))((^x.x) b)) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 146681/15676689. ------ 1. ==[ start ]==> (((^a.b) c)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)((b a)((^y.y) a))) 3. ==[ beta ]==> (b ((b a)((^y.y) a))) 4. ==[ alpha ]==> (b ((b a)((^x.x) a))) 5. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 146682/15676923. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (^z.z))) 3. ==[ beta ]==> (b (b (^z.z))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 146683/15676932. ------ 1. ==[ start ]==> (((a b) c)((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a b) c)((a a)((^x.x) b))) 3. ==[ beta ]==> (((a b) c)((a a) b)) REDUCED to normal form. ------ 146684/15677004. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 146685/15677085. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 146686/15677166. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146687/15677265. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 146688/15677292. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z) b) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) b) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) b) a)) 5. ==[ beta ]==> (((a (^x.x))(a a))(b a)) REDUCED to normal form. ------ 146689/15677319. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> ((a (a b))((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> ((a (a b))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 146690/15677346. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((b a) c)) REDUCED to normal form. ------ 146691/15677598. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146692/15677742. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a b)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b)(^y.y))) REDUCED to normal form. ------ 146693/15677850. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 146694/15677868. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c (^d.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c (^y.a))) 3. ==[ beta ]==> (((a b)(a b))(c (^y.a))) 4. ==[ alpha ]==> (((a b)(a b))(c (^x.a))) REDUCED to normal form. ------ 146695/15677877. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))(b a))) REDUCED to normal form. ------ 146696/15677949. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 146697/15678057. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 146698/15678075. ------ 1. ==[ start ]==> (((a a)(b a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a a)(b a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 146699/15678102. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.b)) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.b)) REDUCED to normal form. ------ 146700/15678129. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))((a (a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a (a a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 146701/15678156. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 146702/15678210. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 146703/15678237. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 146704/15678264. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((b a) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))((b a) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((b a) b)) 5. ==[ beta ]==> (((a a) a)((b a) b)) REDUCED to normal form. ------ 146705/15678354. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146706/15678435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> ((a a)((^z.(z z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(a a)))) 7. ==[ beta ]==> ((a a)((^y.(a a))(^y.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 146707/15678516. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 146708/15678633. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a b)(a (a a)))) REDUCED to normal form. ------ 146709/15678660. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a) a)(^x1.x1))) REDUCED to normal form. ------ 146710/15678741. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 146711/15678768. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 146712/15678813. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 146713/15678921. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146714/15678948. ------ 1. ==[ start ]==> ((a (^b.b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 146715/15678993. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (a a))(^y.b))) REDUCED to normal form. ------ 146716/15679020. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.(a a)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 146717/15679101. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((b a) a)) REDUCED to normal form. ------ 146718/15679128. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^y.y))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 146719/15679272. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((^y.(y y))(^z.b)) 6. ==[ alpha ]==> ((^x.(x x))(^y.b)) 7. ==[ beta ]==> ((^y.b)(^y.b)) 8. ==[ alpha ]==> ((^x.b)(^y.b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 146720/15679299. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a)(^x2.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z1.a)(^x2.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 146721/15679551. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a (a b))) REDUCED to normal form. ------ 146722/15679578. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((b a)((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((b a)((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> ((b a)((a (^x.x))(a a))) REDUCED to normal form. ------ 146723/15679596. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (b (^y.(^z.z)))) 6. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 146724/15679605. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 146725/15679677. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 146726/15679758. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146727/15679866. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.y1)((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146728/15679938. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a b) c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a b) c)) 3. ==[ beta ]==> (((a a) b)((a b) c)) REDUCED to normal form. ------ 146729/15680154. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 146730/15680298. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(c (^x1.b))) 3. ==[ beta ]==> ((^y.y)(c (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(c (^y.b))) 5. ==[ beta ]==> (c (^y.b)) 6. ==[ alpha ]==> (c (^x.b)) REDUCED to normal form. ------ 146731/15680433. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 146732/15680541. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146733/15680622. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 146734/15680649. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 146735/15680703. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((b a)(b a))(^y.y)) 8. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 146736/15680766. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(b (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b (a b))) REDUCED to normal form. ------ 146737/15680784. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 146738/15680793. ------ 1. ==[ start ]==> (((a b)(^a.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.b))(a (a a))) REDUCED to normal form. ------ 146739/15680847. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a)(a (^x1.x1)))) REDUCED to normal form. ------ 146740/15680901. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 146741/15680928. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((b (^x.(^y.y)))(a (^x1.x1))) 8. ==[ alpha ]==> ((b (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 146742/15680955. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 146743/15681018. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a b)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b)((a b)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a b)(^y.y))) REDUCED to normal form. ------ 146744/15681045. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 146745/15681072. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(b a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a (a a))(b a))(^y.a)) 6. ==[ alpha ]==> (((a (a a))(b a))(^x.a)) REDUCED to normal form. ------ 146746/15681099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 146747/15681126. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 146748/15681153. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 146749/15681180. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a a)(^y.b))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(^y.b))) 4. ==[ alpha ]==> (((a a)((a a) a))((a a)(^x.b))) REDUCED to normal form. ------ 146750/15681207. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a b) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a b) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b) a)) REDUCED to normal form. ------ 146751/15681513. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 146752/15681621. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146753/15681657. ------ 1. ==[ start ]==> ((((^a.a) b) c)(d d)) 2. ==[ alpha ]==> ((((^x.x) b) c)(d d)) 3. ==[ beta ]==> ((b c)(d d)) REDUCED to normal form. ------ 146754/15681729. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)((a a) a))) 5. ==[ beta ]==> ((b (^x.x))((a a) a)) REDUCED to normal form. ------ 146755/15681810. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(y1 y1))(^z1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^z1.a)(^z1.a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.a)(^z1.a))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 146756/15681891. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b ((^z.z)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 146757/15681900. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a ((a a) a))) REDUCED to normal form. ------ 146758/15681927. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.b))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.b))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 146759/15682008. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^x1.x1))(a (a a)))) REDUCED to normal form. ------ 146760/15682035. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (^x.a))((a a)(^z.z))) 6. ==[ alpha ]==> ((b (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 146761/15682125. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 146762/15682152. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 146763/15682179. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 146764/15682206. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z) a)) 5. ==[ beta ]==> (((a (a a))(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 146765/15682233. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)(b a))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)(b a))((a (a a)) b)) 5. ==[ beta ]==> ((b a)((a (a a)) b)) REDUCED to normal form. ------ 146766/15682341. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 146767/15682395. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a))) a) REDUCED to normal form. ------ 146768/15682503. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 146769/15682593. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 7. ==[ beta ]==> ((^y.(y y))(^z.z)) 8. ==[ alpha ]==> ((^x.(x x))(^y.y)) 9. ==[ beta ]==> ((^y.y)(^y.y)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146770/15682674. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 146771/15682782. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146772/15682917. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146773/15682944. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 146774/15682998. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((b ((^y.y) b))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))(b (^y.(^z.z)))) 7. ==[ beta ]==> ((b b)(b (^y.(^z.z)))) 8. ==[ alpha ]==> ((b b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 146775/15683007. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 146776/15683079. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 146777/15683088. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(a c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a c)) REDUCED to normal form. ------ 146778/15683115. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(b (a a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(b (a a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(b (a a))) REDUCED to normal form. ------ 146779/15683142. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(a (a (^z.z)))) REDUCED to normal form. ------ 146780/15683187. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(a (^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146781/15683196. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(b a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b a)) REDUCED to normal form. ------ 146782/15683223. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(a b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(a b)) 3. ==[ beta ]==> ((b (^y.(y y)))(a b)) 4. ==[ alpha ]==> ((b (^x.(x x)))(a b)) REDUCED to normal form. ------ 146783/15683250. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(a (a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(a (a a))) REDUCED to normal form. ------ 146784/15693000. ------ 1. ==[ start ]==> ((^a.(^a.a))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((b (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146785/15693081. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146786/15693243. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^x.((^z.z)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^x.(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 146787/15693363. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 146788/15693936. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146789/15694881. ------ 1. ==[ start ]==> ((^a.(a b))(c ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x b))(c ((^y.y) b))) 3. ==[ beta ]==> ((c ((^y.y) b)) b) 4. ==[ alpha ]==> ((c ((^x.x) b)) b) 5. ==[ beta ]==> ((c b) b) REDUCED to normal form. ------ 146790/15695289. ------ 1. ==[ start ]==> (((a a)(a b))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((a a)(a a)))) REDUCED to normal form. ------ 146791/15695649. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (b (^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 146792/15695658. ------ 1. ==[ start ]==> (((a b) b)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 146793/15696018. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.((z z)(z z)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.((z z)(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((y y)(y y)))) REDUCED to normal form. ------ 146794/15696150. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((((^z.z)(a a))((^x1.x1)(^y1.y1)))(((^z.z)(a a))((^x1.x1)(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((((a a)((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> ((((a a)((^x.x)(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1))))(^z1.z1)) 7. ==[ beta ]==> ((((a a)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1))))(^z1.z1)) 8. ==[ alpha ]==> ((((a a)(^x.x))(((^y.y)(a a))((^z.z)(^x1.x1))))(^y1.y1)) 9. ==[ beta ]==> ((((a a)(^x.x))((a a)((^z.z)(^x1.x1))))(^y1.y1)) 10. ==[ alpha ]==> ((((a a)(^x.x))((a a)((^y.y)(^z.z))))(^x1.x1)) 11. ==[ beta ]==> ((((a a)(^x.x))((a a)(^z.z)))(^x1.x1)) 12. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 146795/15696333. ------ 1. ==[ start ]==> (((a b) c)(^d.(^b.b))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 146796/15696360. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 146797/15697332. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 146798/15697455. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 146799/15698223. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 146800/15698346. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146801/15699276. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.((a a)(^z1.z1)))) REDUCED to normal form. ------ 146802/15699528. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 146803/15699660. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a (a a))((^y.y)(^z.z)))((a (a a))((^y.y)(^z.z))))(((a (a a))((^y.y)(^z.z)))((a (a a))((^y.y)(^z.z))))) 4. ==[ alpha ]==> ((((a (a a))((^x.x)(^y.y)))((a (a a))((^z.z)(^x1.x1))))(((a (a a))((^y1.y1)(^z1.z1)))((a (a a))((^x2.x2)(^y2.y2))))) 5. ==[ beta ]==> ((((a (a a))(^y.y))((a (a a))((^z.z)(^x1.x1))))(((a (a a))((^y1.y1)(^z1.z1)))((a (a a))((^x2.x2)(^y2.y2))))) 6. ==[ alpha ]==> ((((a (a a))(^x.x))((a (a a))((^y.y)(^z.z))))(((a (a a))((^x1.x1)(^y1.y1)))((a (a a))((^z1.z1)(^x2.x2))))) 7. ==[ beta ]==> ((((a (a a))(^x.x))((a (a a))(^z.z)))(((a (a a))((^x1.x1)(^y1.y1)))((a (a a))((^z1.z1)(^x2.x2))))) 8. ==[ alpha ]==> ((((a (a a))(^x.x))((a (a a))(^y.y)))(((a (a a))((^z.z)(^x1.x1)))((a (a a))((^y1.y1)(^z1.z1))))) 9. ==[ beta ]==> ((((a (a a))(^x.x))((a (a a))(^y.y)))(((a (a a))(^x1.x1))((a (a a))((^y1.y1)(^z1.z1))))) 10. ==[ alpha ]==> ((((a (a a))(^x.x))((a (a a))(^y.y)))(((a (a a))(^z.z))((a (a a))((^x1.x1)(^y1.y1))))) 11. ==[ beta ]==> ((((a (a a))(^x.x))((a (a a))(^y.y)))(((a (a a))(^z.z))((a (a a))(^y1.y1)))) 12. ==[ alpha ]==> ((((a (a a))(^x.x))((a (a a))(^y.y)))(((a (a a))(^z.z))((a (a a))(^x1.x1)))) REDUCED to normal form. ------ 146804/15699978. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((b b)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((b b)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((b b)(^x.(a a))) REDUCED to normal form. ------ 146805/15700194. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 146806/15700740. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146807/15701130. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 146808/15701301. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 146809/15701742. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 146810/15702075. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.d)) 3. ==[ beta ]==> (b (^x1.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 146811/15702345. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^c.c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((^y.y)(^x1.x1)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146812/15702435. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.(^x2.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146813/15702480. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 146814/15702489. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 146815/15702543. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 146816/15702588. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.z1)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.z1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146817/15702597. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 146818/15702624. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.(a a))) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.(a a))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 146819/15702651. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 146820/15702708. ------ 1. ==[ start ]==> ((a (^a.a))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((b (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 146821/15702735. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a))(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.a)) 6. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 146822/15702762. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b)(^z.(z z)))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(b (^y.(y y)))) 6. ==[ alpha ]==> ((a a)(b (^x.(x x)))) REDUCED to normal form. ------ 146823/15702771. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 146824/15702789. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 146825/15702798. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 146826/15702843. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146827/15702852. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 146828/15702870. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(a a))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(a a))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 146829/15702879. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 146830/15702897. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 146831/15702906. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 146832/15702951. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 146833/15702987. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) b))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) b)) 7. ==[ beta ]==> (((^y.y) b)((^y.y) b)) 8. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 9. ==[ beta ]==> (b ((^y.y) b)) 10. ==[ alpha ]==> (b ((^x.x) b)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 146834/15703068. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 146835/15703113. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b (^z.z)) b)) 3. ==[ beta ]==> (((^y.y) a)((b (^z.z)) b)) 4. ==[ alpha ]==> (((^x.x) a)((b (^y.y)) b)) 5. ==[ beta ]==> (a ((b (^y.y)) b)) 6. ==[ alpha ]==> (a ((b (^x.x)) b)) REDUCED to normal form. ------ 146836/15703176. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 146837/15703284. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 146838/15703365. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 146839/15703392. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 146840/15703419. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 146841/15703536. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 146842/15703563. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(b ((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x)) a)(b ((^y.y) a))) 7. ==[ beta ]==> (((a (^x.x)) a)(b a)) REDUCED to normal form. ------ 146843/15703590. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 146844/15703617. ------ 1. ==[ start ]==> (((a (a a))(a a))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((b a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))((b a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a a))((b a)(^x.x))) REDUCED to normal form. ------ 146845/15703644. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((a a) a))) REDUCED to normal form. ------ 146846/15704112. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 146847/15704166. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((a (a a))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 146848/15704202. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)((^z.z) b))) 5. ==[ beta ]==> (b ((^y.a)((^z.z) b))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y) b))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 146849/15704229. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 146850/15704274. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((b (^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((b (^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 5. ==[ beta ]==> ((b (^y.y)) a) 6. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 146851/15704328. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) b) c)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) b) c)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b) c)) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b) c)) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b) c)) 7. ==[ beta ]==> ((a a)(((^y.y) b) c)) 8. ==[ alpha ]==> ((a a)(((^x.x) b) c)) 9. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 146852/15704337. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.a)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.a)) REDUCED to normal form. ------ 146853/15704364. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146854/15704580. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(^z.z))) 3. ==[ beta ]==> (b ((^y.a)(^z.z))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 146855/15704589. ------ 1. ==[ start ]==> ((a (a b))(c ((^a.a) b))) 2. ==[ alpha ]==> ((a (a b))(c ((^x.x) b))) 3. ==[ beta ]==> ((a (a b))(c b)) REDUCED to normal form. ------ 146856/15704958. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (^b.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (^y.y))) REDUCED to normal form. ------ 146857/15704994. ------ 1. ==[ start ]==> (((a a)(a b))((a a)((a a)(a a)))) REDUCED to normal form. ------ 146858/15705147. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146859/15705192. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)(^z.b))) 3. ==[ beta ]==> ((^y.(a a))((a b)(^z.b))) 4. ==[ alpha ]==> ((^x.(a a))((a b)(^y.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 146860/15705219. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 146861/15705354. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (b ((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 146862/15705363. ------ 1. ==[ start ]==> (((a b) b)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.x)((a a)(a a)))) 3. ==[ beta ]==> (((a b) b)((a a)(a a))) REDUCED to normal form. ------ 146863/15705408. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) b) b)) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) b) b)) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b) b)) 5. ==[ beta ]==> ((a a)(((^y.y) b) b)) 6. ==[ alpha ]==> ((a a)(((^x.x) b) b)) 7. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 146864/15705417. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 146865/15705435. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.(^x1.x1))) c)) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) c)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) c)) 5. ==[ beta ]==> ((a (^y.(^z.z))) c) 6. ==[ alpha ]==> ((a (^x.(^y.y))) c) REDUCED to normal form. ------ 146866/15705444. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 146867/15705498. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 146868/15705525. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.a))) 7. ==[ beta ]==> (((^y.(a a))(^z.a))((^y.(a a))(^z.a))) 8. ==[ alpha ]==> (((^x.(a a))(^y.a))((^z.(a a))(^x1.a))) 9. ==[ beta ]==> ((a a)((^z.(a a))(^x1.a))) 10. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 146869/15705552. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 146870/15705579. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 146871/15705606. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 146872/15705669. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (a (^y.(^z.z))))) REDUCED to normal form. ------ 146873/15705696. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(b ((^y.y) b))) 3. ==[ beta ]==> ((a ((a a) a))(b ((^y.y) b))) 4. ==[ alpha ]==> ((a ((a a) a))(b ((^x.x) b))) 5. ==[ beta ]==> ((a ((a a) a))(b b)) REDUCED to normal form. ------ 146874/15705723. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a ((a a)(a a)))) REDUCED to normal form. ------ 146875/15705750. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) b)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) b)(a a))) 5. ==[ beta ]==> ((a (a a))(((^y.y) b)(a a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) b)(a a))) 7. ==[ beta ]==> ((a (a a))(b (a a))) REDUCED to normal form. ------ 146876/15705777. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 146877/15705804. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((b a) a)) REDUCED to normal form. ------ 146878/15705831. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 146879/15705858. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(^z.z))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 146880/15706038. ------ 1. ==[ start ]==> (((a b) c)(b (^b.b))) 2. ==[ alpha ]==> (((a b) c)(b (^x.x))) REDUCED to normal form. ------ 146881/15706065. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a (^y.(a a)))) 3. ==[ beta ]==> (((a a) b)(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a) b)(a (^x.(a a)))) REDUCED to normal form. ------ 146882/15706092. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 146883/15706110. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 146884/15706137. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((b a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 146885/15706173. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 146886/15706191. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 146887/15706227. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146888/15706272. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 146889/15706281. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 146890/15706308. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 146891/15706335. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(b a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 146892/15706983. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c (^d.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c (^y.a))) REDUCED to normal form. ------ 146893/15707037. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 146894/15707055. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 146895/15707064. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 146896/15707163. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 146897/15707442. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146898/15707874. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(c (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(c (^y.(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 146899/15707928. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 146900/15707982. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 146901/15708027. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146902/15708036. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 146903/15708054. ------ 1. ==[ start ]==> ((a (^b.b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 146904/15708333. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146905/15708540. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a)) c)) 3. ==[ beta ]==> (b ((^z.(a a)) c)) 4. ==[ alpha ]==> (b ((^x.(a a)) c)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 146906/15708684. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(c (^y.(a a)))) 3. ==[ beta ]==> ((b a)(c (^y.(a a)))) 4. ==[ alpha ]==> ((b a)(c (^x.(a a)))) REDUCED to normal form. ------ 146907/15708711. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 146908/15708783. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 146909/15708819. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.b)((^z.z) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 146910/15708846. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 146911/15708864. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 146912/15708873. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 146913/15708900. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 146914/15708927. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 146915/15708981. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)((a a)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(^y1.y1))) REDUCED to normal form. ------ 146916/15709008. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 146917/15709179. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c (a b))) REDUCED to normal form. ------ 146918/15709206. ------ 1. ==[ start ]==> (((a b)((a a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b)((a a) a))(b (a a))) REDUCED to normal form. ------ 146919/15709233. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a ((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 146920/15709260. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 146921/15709314. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(((a a) a) a)) REDUCED to normal form. ------ 146922/15709341. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((b (a a))(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b (a a))(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> ((b (a a))((^y.y)(a (a a)))) 6. ==[ alpha ]==> ((b (a a))((^x.x)(a (a a)))) 7. ==[ beta ]==> ((b (a a))(a (a a))) REDUCED to normal form. ------ 146923/15709368. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((a (a a))(^y.y))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((a (a a))(^x.x))) REDUCED to normal form. ------ 146924/15709539. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a)(^z.a))) 3. ==[ beta ]==> (b (((a a) a)(^z.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 146925/15709647. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146926/15709683. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((b b)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((b b)((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((b b)((^y.y)(a a))) 6. ==[ alpha ]==> ((b b)((^x.x)(a a))) 7. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 146927/15709710. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((((a a)(a a)) a)(a a)) REDUCED to normal form. ------ 146928/15709728. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a b) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a b) b)) 3. ==[ beta ]==> (((a a)(a a))((a b) b)) REDUCED to normal form. ------ 146929/15709755. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((a a) a) c)) 3. ==[ beta ]==> ((^y.y)(((a a) a) c)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) c)) 5. ==[ beta ]==> (((a a) a) c) REDUCED to normal form. ------ 146930/15709764. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 146931/15709791. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 146932/15709872. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 146933/15709899. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.(a a))) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 146934/15710097. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a)(a b))) REDUCED to normal form. ------ 146935/15710448. ------ 1. ==[ start ]==> ((a (b (^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b (^x.x)))(c (^z.z))) 4. ==[ alpha ]==> ((a (b (^x.x)))(c (^y.y))) REDUCED to normal form. ------ 146936/15710727. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146937/15710763. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((b c)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((b c)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((b c)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((b c)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((b c)(a ((^y.y) a))) 8. ==[ alpha ]==> ((b c)(a ((^x.x) a))) 9. ==[ beta ]==> ((b c)(a a)) REDUCED to normal form. ------ 146938/15710790. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 146939/15710835. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> ((b (^y.y))((a a)(^z.a))) 4. ==[ alpha ]==> ((b (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 146940/15710862. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((a a) a) a)) 3. ==[ beta ]==> ((^y.y)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 146941/15710898. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 146942/15710925. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((^y1.a)(^y1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.a)(^y1.a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 146943/15711006. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.a)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 146944/15711141. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 146945/15711393. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(c ((^y.y) a))) 3. ==[ beta ]==> (((a b)(a a))(c ((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a a))(c ((^x.x) a))) 5. ==[ beta ]==> (((a b)(a a))(c a)) REDUCED to normal form. ------ 146946/15711420. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(b (a (a a)))) 3. ==[ beta ]==> (((a a)(a b))(b (a (a a)))) REDUCED to normal form. ------ 146947/15711447. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(a (^y.y))) REDUCED to normal form. ------ 146948/15711501. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a (a (^z.z)))) REDUCED to normal form. ------ 146949/15711528. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b ((^y.y) a))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b a)((a (^y.y))((^z.z) a))) 6. ==[ alpha ]==> ((b a)((a (^x.x))((^y.y) a))) 7. ==[ beta ]==> ((b a)((a (^x.x)) a)) REDUCED to normal form. ------ 146950/15711555. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 146951/15711699. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a)) a)) 5. ==[ beta ]==> ((^y.y)((a (a a)) a)) 6. ==[ alpha ]==> ((^x.x)((a (a a)) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 146952/15711780. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a a) d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a) d)) 3. ==[ beta ]==> (b ((a a) d)) REDUCED to normal form. ------ 146953/15712005. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.z))) 5. ==[ beta ]==> (a ((^y.a)(^z.z))) 6. ==[ alpha ]==> (a ((^x.a)(^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 146954/15712023. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((a (^x1.x1)) b)) 3. ==[ beta ]==> (((^y.(^z.z)) a)((a (^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z)) b)) 5. ==[ beta ]==> ((^y.y)((a (^z.z)) b)) 6. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 7. ==[ beta ]==> ((a (^y.y)) b) 8. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 146955/15712050. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a a) c)) 3. ==[ beta ]==> ((^y.y)((a a) c)) 4. ==[ alpha ]==> ((^x.x)((a a) c)) 5. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 146956/15712104. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.(^z.z)) b)) 7. ==[ beta ]==> ((b b)((^y.(^z.z)) b)) 8. ==[ alpha ]==> ((b b)((^x.(^y.y)) b)) 9. ==[ beta ]==> ((b b)(^y.y)) 10. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 146957/15712113. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 146958/15712140. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(a (^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(a (^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a (^y1.a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146959/15712185. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 146960/15712194. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 146961/15712221. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 146962/15712248. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 146963/15712293. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((^z1.z1) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146964/15712302. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 146965/15712329. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((^z.z)(a a))) 3. ==[ beta ]==> ((b (^y.(y y)))((^z.z)(a a))) 4. ==[ alpha ]==> ((b (^x.(x x)))((^y.y)(a a))) 5. ==[ beta ]==> ((b (^x.(x x)))(a a)) REDUCED to normal form. ------ 146966/15712356. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a)(a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 146967/15722169. ------ 1. ==[ start ]==> ((^a.b)((^c.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 146968/15722439. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)((a a)(a a)))) 3. ==[ eta ]==> ((^y.y)((^z.a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(a a)))) 5. ==[ beta ]==> ((^y.a)((a a)(a a))) 6. ==[ alpha ]==> ((^x.a)((a a)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 146969/15722709. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^z.(a a)))(((^y.(a a))(^z.(a a)))((^y.(a a))(^z.(a a))))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.(a a))(^x1.(a a)))((^y1.(a a))(^z1.(a a))))) 5. ==[ beta ]==> ((a a)(((^z.(a a))(^x1.(a a)))((^y1.(a a))(^z1.(a a))))) 6. ==[ alpha ]==> ((a a)(((^x.(a a))(^y.(a a)))((^z.(a a))(^x1.(a a))))) 7. ==[ beta ]==> ((a a)((a a)((^z.(a a))(^x1.(a a))))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a))(^y.(a a))))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 146970/15722910. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((^x.(x x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.z))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 146971/15722934. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b (^x1.x1))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146972/15723492. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a))(a b))) 3. ==[ beta ]==> ((((^y.(a a))(a b))((^y.(a a))(a b)))((^y.(a a))(a b))) 4. ==[ alpha ]==> ((((^x.(a a))(a b))((^y.(a a))(a b)))((^z.(a a))(a b))) 5. ==[ beta ]==> (((a a)((^y.(a a))(a b)))((^z.(a a))(a b))) 6. ==[ alpha ]==> (((a a)((^x.(a a))(a b)))((^y.(a a))(a b))) 7. ==[ beta ]==> (((a a)(a a))((^y.(a a))(a b))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a b))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 146973/15724005. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((^y.a)(^z.z)) b) 4. ==[ alpha ]==> (((^x.a)(^y.y)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 146974/15724392. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (^y.(((a (^z.z))((^x1.x1) b))((a (^z.z))((^x1.x1) b)))) 4. ==[ alpha ]==> (^x.(((a (^y.y))((^z.z) b))((a (^x1.x1))((^y1.y1) b)))) 5. ==[ beta ]==> (^x.(((a (^y.y)) b)((a (^x1.x1))((^y1.y1) b)))) 6. ==[ alpha ]==> (^x.(((a (^y.y)) b)((a (^z.z))((^x1.x1) b)))) 7. ==[ beta ]==> (^x.(((a (^y.y)) b)((a (^z.z)) b))) REDUCED to normal form. ------ 146975/15724599. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.(a a))((a a) a))((^z.(a a))((a a) a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(a a))((a a) a))((^z.(a a))((a a) a)))) 5. ==[ beta ]==> (((^y.(a a))((a a) a))((^z.(a a))((a a) a))) 6. ==[ alpha ]==> (((^x.(a a))((a a) a))((^y.(a a))((a a) a))) 7. ==[ beta ]==> ((a a)((^y.(a a))((a a) a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))((a a) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 146976/15724782. ------ 1. ==[ start ]==> (((a b) b)(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 146977/15725142. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 146978/15725817. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))((^y.y)(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 146979/15726030. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.(a a)))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146980/15726762. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 146981/15726867. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^x1.(a a))(^y1.(y1 y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(y y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 146982/15727338. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(b a))) 3. ==[ beta ]==> (b (^x1.(b a))) 4. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 146983/15727626. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.(b a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(x a))) REDUCED to normal form. ------ 146984/15727785. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 146985/15728652. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 146986/15729102. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 146987/15729543. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(y y)))) REDUCED to normal form. ------ 146988/15729732. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> ((((a a)(^x.x))((^y.y)(^z.z))) a) 4. ==[ beta ]==> ((((a a)(^x.x))(^z.z)) a) 5. ==[ alpha ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 146989/15729864. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 146990/15730731. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 146991/15730866. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 146992/15731025. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(x1 x1))(a a))) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146993/15731199. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^d.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (b (^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 146994/15731307. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 146995/15731559. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.c)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.c)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.c)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 146996/15731613. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 146997/15731667. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^c.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.b)) REDUCED to normal form. ------ 146998/15731721. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 146999/15731748. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 147000/15731775. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^c.a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.a)) REDUCED to normal form. ------ 147001/15731850. ------ 1. ==[ start ]==> (((^a.a) a)((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((b (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (a ((b (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (a ((b (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 147002/15731877. ------ 1. ==[ start ]==> (((a a) a)(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a) a)(((a a)(a a))(^x.a))) REDUCED to normal form. ------ 147003/15731886. ------ 1. ==[ start ]==> ((a b)((^c.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a b)((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 147004/15731904. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.x))(b (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 147005/15731931. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 147006/15731940. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 147007/15731958. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((b a)(^z.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 147008/15731985. ------ 1. ==[ start ]==> (((a a) b)(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))(^y.b))) REDUCED to normal form. ------ 147009/15732012. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.(a a)))) REDUCED to normal form. ------ 147010/15732039. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 147011/15732102. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 147012/15732120. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 147013/15732129. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) b)((^z.z) b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) b)((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x))(a a))(b ((^z.z) b))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(b ((^y.y) b))) 7. ==[ beta ]==> (((a (^x.x))(a a))(b b)) REDUCED to normal form. ------ 147014/15732156. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((a a)(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)((a a)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)((a a)(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 147015/15732228. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> ((a a)(((^y.(^z.z)) a) a)) 4. ==[ alpha ]==> ((a a)(((^x.(^y.y)) a) a)) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 147016/15732255. ------ 1. ==[ start ]==> (((a a)(^b.a))((b (^a.a)) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((b (^y.y)) b)) REDUCED to normal form. ------ 147017/15732345. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 147018/15732426. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 147019/15732624. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a)(a a))(a ((^y.(^z.z)) a))) 4. ==[ alpha ]==> (((a a)(a a))(a ((^x.(^y.y)) a))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 147020/15732651. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b (^z.z))(a a))) REDUCED to normal form. ------ 147021/15732786. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147022/15732813. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (((^y.y)(a a))(a b)) 6. ==[ alpha ]==> (((^x.x)(a a))(a b)) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 147023/15732867. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 147024/15732921. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)((a (a a))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 147025/15732948. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 147026/15733002. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)(b (^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)(b (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(b (^z.z)))) REDUCED to normal form. ------ 147027/15733038. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((b (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b (^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((b (^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 7. ==[ beta ]==> ((b (^y.y))(^z.z)) 8. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 147028/15733101. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 147029/15733128. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (a a)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 147030/15733209. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(a b))) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 147031/15733335. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (b (((^y.y) a)(^z.z))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 147032/15733416. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b (^x1.x1)) a)) REDUCED to normal form. ------ 147033/15733443. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(a a)) b)) REDUCED to normal form. ------ 147034/15733470. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) b) c)) 3. ==[ beta ]==> (((a (a a))(^x.a))(b c)) REDUCED to normal form. ------ 147035/15733587. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a))(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 147036/15733614. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.(a a)))) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 147037/15733695. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 147038/15733722. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.y))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 147039/15733731. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c ((^z.z) b))) 3. ==[ beta ]==> ((^y.b)(c ((^z.z) b))) 4. ==[ alpha ]==> ((^x.b)(c ((^y.y) b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 147040/15733812. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(a a))(a a))) IRREDUCIBLE: cycle. ------ 147041/15733893. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((b a)(a (a a)))) 3. ==[ beta ]==> (b ((b a)(a (a a)))) REDUCED to normal form. ------ 147042/15733920. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)(((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 147043/15733947. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 147044/15734001. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 147045/15734082. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (a (^y.(^z.z))))) 6. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 147046/15734109. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(a a)))((a (^y.y)) b)) REDUCED to normal form. ------ 147047/15734127. ------ 1. ==[ start ]==> (((a a)(a b))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(b (^x.(a a)))) REDUCED to normal form. ------ 147048/15734208. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a (^y.y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 147049/15734235. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 7. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))((^y1.y1) a))) 8. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))((^x1.x1) a))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 147050/15734280. ------ 1. ==[ start ]==> (((^a.b) b)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 147051/15734289. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 147052/15734316. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 147053/15734496. ------ 1. ==[ start ]==> (((a b) b)((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a b) b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 147054/15734523. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a)(a a)) a)) 3. ==[ beta ]==> (((a a) a)(((a a)(a a)) a)) REDUCED to normal form. ------ 147055/15734550. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) b) b)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(b b)) REDUCED to normal form. ------ 147056/15734577. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.(^x1.x1))) c)) REDUCED to normal form. ------ 147057/15734802. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 147058/15734829. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 147059/15734928. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) c)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) c)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 147060/15735027. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((a a) a))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 147061/15735162. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 147062/15735225. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.y))) REDUCED to normal form. ------ 147063/15735279. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((b a)(^z.a))) REDUCED to normal form. ------ 147064/15735306. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.b))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 147065/15735360. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147066/15735387. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a)(^y.b))) REDUCED to normal form. ------ 147067/15735414. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.(a a))) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.(a a))) REDUCED to normal form. ------ 147068/15735504. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 147069/15735531. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z) b)) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) b)) 7. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 147070/15735558. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 147071/15735585. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 147072/15735666. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 147073/15735693. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(^z.a))) 5. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 147074/15735747. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 147075/15735837. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (b (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (b (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 147076/15735918. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((b a)(a (^z.z)))) 3. ==[ beta ]==> (b ((b a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((b a)(a (^x.x)))) REDUCED to normal form. ------ 147077/15736026. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((b a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 147078/15736053. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 147079/15736107. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a b)(a b))(a ((a a)(^y.y)))) 6. ==[ alpha ]==> (((a b)(a b))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 147080/15736197. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 147081/15736224. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 147082/15736251. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) REDUCED to normal form. ------ 147083/15736314. ------ 1. ==[ start ]==> (((a a)(b a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 147084/15736368. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a b))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a b))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 147085/15736395. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a b))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a b))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a (a a))(a b))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a (a a))(a b))((a a)(a a))) REDUCED to normal form. ------ 147086/15736422. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.a)((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)((a a)(^y.y)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 147087/15736449. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 147088/15736476. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a b)(a (a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 147089/15736503. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 147090/15736584. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 147091/15736755. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (b a))) 3. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 147092/15736863. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1)(a a))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147093/15736890. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 147094/15736917. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 147095/15736971. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (a a))(a b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (a a))(a b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (a a))(a b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (a a))(a b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))(a b))) 7. ==[ beta ]==> (((a a)(a a))((a (a a))(a b))) REDUCED to normal form. ------ 147096/15737052. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a)(b a))) 3. ==[ beta ]==> (b ((a a)(b a))) REDUCED to normal form. ------ 147097/15737088. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((b a)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((b a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((b a)(^y.y))) REDUCED to normal form. ------ 147098/15737115. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 147099/15737169. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a b)(^x1.(x1 x1)))) REDUCED to normal form. ------ 147100/15737232. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 147101/15737259. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(a b))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a b)(a b))) REDUCED to normal form. ------ 147102/15737286. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 147103/15737313. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 147104/15737340. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(b a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b a)) REDUCED to normal form. ------ 147105/15737421. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 147106/15737502. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 147107/15737673. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (b ((a a)(a (^y.y)))) 6. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 147108/15737781. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147109/15737835. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b ((a (^y.y))((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(a a)))) 7. ==[ beta ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 147110/15737862. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 147111/15737952. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)(^z.a))) 5. ==[ beta ]==> ((^y.(a a))((a b)(^z.a))) 6. ==[ alpha ]==> ((^x.(a a))((a b)(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147112/15737979. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 147113/15738006. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 147114/15738033. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 147115/15738060. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a (^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.b))) REDUCED to normal form. ------ 147116/15738141. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((b (^y.y))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((b (^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 147117/15738177. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 147118/15738204. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) b) REDUCED to normal form. ------ 147119/15738231. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (b a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 147120/15738258. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 147121/15738312. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(^y.b))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 147122/15738339. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 147123/15738537. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((a a) a)) 6. ==[ alpha ]==> (((^x.x) a)((a a) a)) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 147124/15738816. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a)(^y.(a a)))) 3. ==[ beta ]==> ((b b)((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((b b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 147125/15738843. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x)(a a)) a)) 3. ==[ beta ]==> ((((a a)(a a)) a)((a a) a)) REDUCED to normal form. ------ 147126/15738897. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((a a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a) c)) REDUCED to normal form. ------ 147127/15739023. ------ 1. ==[ start ]==> (((^a.b)(a b))(b (a b))) 2. ==[ alpha ]==> (((^x.b)(a b))(b (a b))) 3. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 147128/15739086. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 147129/15739131. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147130/15739230. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(b (^x.b))) REDUCED to normal form. ------ 147131/15739257. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a (^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(a a)))) REDUCED to normal form. ------ 147132/15739284. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.b)(a a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.b)(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b)(a a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 147133/15739311. ------ 1. ==[ start ]==> (((a (a a))(b a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 147134/15739338. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 147135/15739365. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 147136/15739392. ------ 1. ==[ start ]==> (((a b)(a b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 147137/15739419. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 147138/15739446. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.x1)(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(a b))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 147139/15739527. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 147140/15739554. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 147141/15739581. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 147142/15739671. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((a a) a)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147143/15739752. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (b (((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 147144/15739896. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (a a))(^y.a))) 3. ==[ beta ]==> ((b c)((a (a a))(^y.a))) 4. ==[ alpha ]==> ((b c)((a (a a))(^x.a))) REDUCED to normal form. ------ 147145/15739923. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(a (^y.(y y)))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(a (^x.(x x)))) REDUCED to normal form. ------ 147146/15740031. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.x))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 147147/15740130. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 147148/15740166. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.a) a)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.a) a)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a) a)) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 147149/15740238. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147150/15740364. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 147151/15740391. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a))) a) REDUCED to normal form. ------ 147152/15740418. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 147153/15740445. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 147154/15740472. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 147155/15740499. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 147156/15740526. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 147157/15740553. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 147158/15740580. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 147159/15740661. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(c (^z.a))) 3. ==[ beta ]==> ((b ((^y.y) a))(c (^z.a))) 4. ==[ alpha ]==> ((b ((^x.x) a))(c (^y.a))) 5. ==[ beta ]==> ((b a)(c (^y.a))) 6. ==[ alpha ]==> ((b a)(c (^x.a))) REDUCED to normal form. ------ 147160/15740688. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 147161/15740742. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.(z z))(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a a))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 147162/15740913. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (b (b ((^x1.x1) a))) 4. ==[ alpha ]==> (b (b ((^x.x) a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 147163/15741021. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147164/15741138. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(((^z.z) a) a)) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a) a)) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a) a)) 5. ==[ beta ]==> (a (((^y.y) a) a)) 6. ==[ alpha ]==> (a (((^x.x) a) a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 147165/15741183. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 147166/15741237. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a (^z.z))(a a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a (^z.z))(a a))) 5. ==[ beta ]==> ((b ((^y.y) b))((a (^z.z))(a a))) 6. ==[ alpha ]==> ((b ((^x.x) b))((a (^y.y))(a a))) 7. ==[ beta ]==> ((b b)((a (^y.y))(a a))) 8. ==[ alpha ]==> ((b b)((a (^x.x))(a a))) REDUCED to normal form. ------ 147167/15741246. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 147168/15741318. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 147169/15741327. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 147170/15741354. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((a (^z.z)) a)) 3. ==[ beta ]==> (((a a)(^y.(a a)))((a (^z.z)) a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 147171/15741381. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((a a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((a a) b)) REDUCED to normal form. ------ 147172/15741426. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((a a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147173/15741435. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 147174/15741462. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((a a)(^z.z))) 3. ==[ beta ]==> ((b (^y.(y y)))((a a)(^z.z))) 4. ==[ alpha ]==> ((b (^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 147175/15741489. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((a a) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((a a) a)) REDUCED to normal form. ------ 147176/15741542. ------ 1. ==[ start ]==> (^a.(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (^x.(((^y.(^z.z)) x)(^x1.x1))) 3. ==[ beta ]==> (^x.((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147177/15741543. ------ 1. ==[ start ]==> (a (((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (a (((^x.(^y.y)) a)(^z.z))) 3. ==[ beta ]==> (a ((^y.y)(^z.z))) 4. ==[ alpha ]==> (a ((^x.x)(^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 147178/15751260. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a)) a) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z)) a) 3. ==[ beta ]==> (((^y.y)(^z.z)) a) 4. ==[ alpha ]==> (((^x.x)(^y.y)) a) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 147179/15751266. ------ 1. ==[ start ]==> ((^a.a)(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147180/15751293. ------ 1. ==[ start ]==> ((^a.(a a))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((b (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b (^y.y))(^z.(^x1.x1)))((b (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b (^x.x))(^y.(^z.z)))((b (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 147181/15751320. ------ 1. ==[ start ]==> ((^a.b)(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.b)(((a a)(a a))(^y.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 147182/15751356. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147183/15751401. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b a)(^c.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b a)(^z.a))) 3. ==[ beta ]==> (((b a)(^z.a))(^y.y)) 4. ==[ alpha ]==> (((b a)(^x.a))(^y.y)) REDUCED to normal form. ------ 147184/15751518. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(b a))) 3. ==[ beta ]==> (^y.((^z.a)(b a))) 4. ==[ alpha ]==> (^x.((^y.a)(b a))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 147185/15751761. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 147186/15752070. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 147187/15752643. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((((^y.y)(a a))(^z.b))(((^y.y)(a a))(^z.b)))(((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> (((((^x.x)(a a))(^y.b))(((^z.z)(a a))(^x1.b)))(((^y1.y1)(a a))(^z1.b))) 5. ==[ beta ]==> ((((a a)(^y.b))(((^z.z)(a a))(^x1.b)))(((^y1.y1)(a a))(^z1.b))) 6. ==[ alpha ]==> ((((a a)(^x.b))(((^y.y)(a a))(^z.b)))(((^x1.x1)(a a))(^y1.b))) 7. ==[ beta ]==> ((((a a)(^x.b))((a a)(^z.b)))(((^x1.x1)(a a))(^y1.b))) 8. ==[ alpha ]==> ((((a a)(^x.b))((a a)(^y.b)))(((^z.z)(a a))(^x1.b))) 9. ==[ beta ]==> ((((a a)(^x.b))((a a)(^y.b)))((a a)(^x1.b))) 10. ==[ alpha ]==> ((((a a)(^x.b))((a a)(^y.b)))((a a)(^z.b))) REDUCED to normal form. ------ 147188/15752844. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(y1 (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 147189/15753543. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (^z.z))) 3. ==[ beta ]==> (^y.((c (^z.z))(c (^z.z)))) 4. ==[ alpha ]==> (^x.((c (^y.y))(c (^z.z)))) REDUCED to normal form. ------ 147190/15754635. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a) b)(^y.((^z.z) b))) 4. ==[ alpha ]==> (((a a) b)(^x.((^y.y) b))) 5. ==[ beta ]==> (((a a) b)(^x.b)) REDUCED to normal form. ------ 147191/15755607. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 147192/15755625. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 147193/15755730. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(a a))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 147194/15755913. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 147195/15756498. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(b a))) REDUCED to normal form. ------ 147196/15756621. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147197/15759432. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 147198/15759603. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.((z z) z))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.((z z) z))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.((y y) y))) REDUCED to normal form. ------ 147199/15760176. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a (a a))(^x1.x1))) 3. ==[ eta ]==> ((^y.(^z.z))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147200/15760269. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 7. ==[ beta ]==> (^y.(a (a a))) 8. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 147201/15760764. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^d.b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 147202/15760791. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^a.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.c)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.c)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.c)) REDUCED to normal form. ------ 147203/15760872. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(a a))) REDUCED to normal form. ------ 147204/15760926. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^a.b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.b)) REDUCED to normal form. ------ 147205/15760980. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(^a.a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147206/15760992. ------ 1. ==[ start ]==> ((a a)(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> ((a a)(((^x.(^y.y)) a)(^z.z))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 147207/15761019. ------ 1. ==[ start ]==> ((a (a a))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((b (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 147208/15761046. ------ 1. ==[ start ]==> ((a b)(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a b)(((a a)(a a))(^x.a))) REDUCED to normal form. ------ 147209/15761082. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 147210/15761100. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 147211/15761127. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b a)(^c.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((b a)(^y.a))) REDUCED to normal form. ------ 147212/15761190. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 147213/15761217. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.b)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 147214/15761244. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(b a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(b a))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 147215/15761262. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 147216/15761289. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(^y.y))) REDUCED to normal form. ------ 147217/15761325. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)((a a)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 147218/15761352. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(b (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(b (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147219/15761487. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 147220/15761595. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((^y.(a a))(^z.(a a)))((^y.(a a))(^z.(a a)))) 6. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(a a))(^x1.(a a)))) 7. ==[ beta ]==> ((a a)((^z.(a a))(^x1.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 147221/15761622. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 147222/15761676. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147223/15761703. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 147224/15761730. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 147225/15761739. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c ((a a)(a a)))) REDUCED to normal form. ------ 147226/15761766. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (b (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (b (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (b (^z.z)))) REDUCED to normal form. ------ 147227/15761793. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 147228/15761901. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((b b)((a (^y.(^z.z)))(a (a a)))) 4. ==[ alpha ]==> ((b b)((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 147229/15762036. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 147230/15762063. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))(b a))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(b a))) 7. ==[ beta ]==> (a ((^y.y)(b a))) 8. ==[ alpha ]==> (a ((^x.x)(b a))) 9. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 147231/15762090. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 147232/15762117. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a ((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a b)) REDUCED to normal form. ------ 147233/15762144. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 147234/15762171. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(b (^z.z)))) REDUCED to normal form. ------ 147235/15762234. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 147236/15762261. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b (^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.a))) REDUCED to normal form. ------ 147237/15762288. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 147238/15762315. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 147239/15762369. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))(^y.b))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(^y.b))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.b))) REDUCED to normal form. ------ 147240/15762405. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 147241/15762459. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(b a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 147242/15762540. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a)(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 147243/15762567. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(b (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(b (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b (^z.z)))) 5. ==[ beta ]==> ((^y.y)(b (^z.z))) 6. ==[ alpha ]==> ((^x.x)(b (^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 147244/15762891. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.b)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 147245/15763035. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a) b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 147246/15763062. ------ 1. ==[ start ]==> (((a b) a)((b a)(a (a a)))) REDUCED to normal form. ------ 147247/15763089. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 147248/15763143. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 147249/15763170. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(((a a) a)(a a))) REDUCED to normal form. ------ 147250/15763197. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 147251/15763224. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(b a))) REDUCED to normal form. ------ 147252/15763251. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(^x.x))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 147253/15763269. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (^b.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.y))) REDUCED to normal form. ------ 147254/15763341. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(a a))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(a a))(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 147255/15763368. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 147256/15763395. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(^x1.a))) 7. ==[ beta ]==> (a ((a (^y.(^z.z)))(^x1.a))) 8. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 147257/15763422. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((b a)(^y.(y y)))) REDUCED to normal form. ------ 147258/15763449. ------ 1. ==[ start ]==> (((a b)(a a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 147259/15763485. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a))((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147260/15763512. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a b))) 5. ==[ beta ]==> ((^y.b)(a b)) 6. ==[ alpha ]==> ((^x.b)(a b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 147261/15763566. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147262/15763647. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 147263/15763728. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147264/15763863. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (b ((^z.b)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.b)(^y.b))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 147265/15764070. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.b) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y) b)) 3. ==[ beta ]==> ((((a a) a) a)((^y.y) b)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x) b)) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 147266/15764088. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 147267/15764097. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 147268/15764322. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (c (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 147269/15764331. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 147270/15764358. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a)((^y.y) b))) 3. ==[ beta ]==> (((a a) b)((a a)((^y.y) b))) 4. ==[ alpha ]==> (((a a) b)((a a)((^x.x) b))) 5. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 147271/15764403. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 147272/15764430. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147273/15764565. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(a b))) 3. ==[ beta ]==> (b ((^z.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 147274/15764664. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 147275/15764691. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.y))) REDUCED to normal form. ------ 147276/15764718. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) b) a)) 3. ==[ beta ]==> ((a (a b))(((^y.y) b) a)) 4. ==[ alpha ]==> ((a (a b))(((^x.x) b) a)) 5. ==[ beta ]==> ((a (a b))(b a)) REDUCED to normal form. ------ 147277/15764745. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 147278/15764772. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a) c)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a) c)) 5. ==[ beta ]==> (((^y.y)(^z.z))((b a) c)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((b a) c)) 7. ==[ beta ]==> ((^y.y)((b a) c)) 8. ==[ alpha ]==> ((^x.x)((b a) c)) 9. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 147279/15764997. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 147280/15765141. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a a)(a (a a)))) REDUCED to normal form. ------ 147281/15765249. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a (a a))(a a))) REDUCED to normal form. ------ 147282/15765276. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 147283/15765330. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 147284/15765348. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a (^y.y))) 3. ==[ beta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 147285/15765456. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 147286/15765474. ------ 1. ==[ start ]==> (((a a)(b a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 147287/15765528. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.b))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.b))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^z.b))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.b))) 9. ==[ beta ]==> ((a (a a))(^y.b)) 10. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 147288/15765555. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 147289/15765636. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 147290/15765663. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.(^z.z))) a)) 5. ==[ beta ]==> (((a a) a)((a (^y.(^z.z))) a)) 6. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 147291/15765690. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((b a) b)) REDUCED to normal form. ------ 147292/15765753. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(a a))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(a a))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147293/15765834. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 147294/15766032. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a) a)) REDUCED to normal form. ------ 147295/15766059. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a b)(a (a a)))) REDUCED to normal form. ------ 147296/15766140. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a))(a b))) REDUCED to normal form. ------ 147297/15766167. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)((^z.z)(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 147298/15766221. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(b a))) REDUCED to normal form. ------ 147299/15766320. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147300/15766347. ------ 1. ==[ start ]==> ((a (^b.b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 147301/15766365. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 147302/15766392. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(b a))(^z.a)) 6. ==[ alpha ]==> (((a (^x.x))(b a))(^y.a)) REDUCED to normal form. ------ 147303/15766419. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (a a))(^z.b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))(^y.b))) REDUCED to normal form. ------ 147304/15766446. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))(a (^y.(a a)))) 6. ==[ alpha ]==> (((a (a a))(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 147305/15766473. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 147306/15766527. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((b a) a)) 3. ==[ beta ]==> (((a b)(^y.y))((b a) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((b a) a)) REDUCED to normal form. ------ 147307/15766554. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((a a)(^y.y)) b)) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a)(^y.y)) b)) 4. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 147308/15766671. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147309/15766698. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(z1 z1))(^x2.b))) 3. ==[ beta ]==> ((^y.y)((^z1.(z1 z1))(^x2.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((^y.(y y))(^z.b)) 6. ==[ alpha ]==> ((^x.(x x))(^y.b)) 7. ==[ beta ]==> ((^y.b)(^y.b)) 8. ==[ alpha ]==> ((^x.b)(^y.b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 147310/15766950. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (a a))((a a) a))) REDUCED to normal form. ------ 147311/15766977. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) a)(a b))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(a b))) 5. ==[ beta ]==> ((b a)(a (a b))) REDUCED to normal form. ------ 147312/15766995. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c (^z.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(c (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(c (^y.(a a)))) 5. ==[ beta ]==> (b (c (^y.(a a)))) 6. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 147313/15767004. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 147314/15767022. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 147315/15767031. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)((a a)(^y1.y1)))) REDUCED to normal form. ------ 147316/15767157. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (b ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 147317/15767265. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147318/15767337. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(a a)) b)) 5. ==[ beta ]==> (((a a) b)((a a) b)) REDUCED to normal form. ------ 147319/15767364. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a b) c)) REDUCED to normal form. ------ 147320/15767607. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) b) REDUCED to normal form. ------ 147321/15767634. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a) d)) 3. ==[ beta ]==> ((b (a a))((^y.a) d)) 4. ==[ alpha ]==> ((b (a a))((^x.a) d)) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 147322/15767832. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 147323/15767940. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147324/15768021. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 147325/15768048. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 147326/15768102. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 147327/15768165. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c ((a a) a))) REDUCED to normal form. ------ 147328/15768183. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 147329/15768192. ------ 1. ==[ start ]==> (((a b)(^a.b))(b (a b))) 2. ==[ alpha ]==> (((a b)(^x.b))(b (a b))) REDUCED to normal form. ------ 147330/15768246. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b)(a a))) REDUCED to normal form. ------ 147331/15768300. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.y1) a)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1) a)) 7. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 147332/15768327. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 147333/15768354. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a)(a a))(^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 147334/15768444. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a b)(^x1.x1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a b)(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a b)(^z.z))) REDUCED to normal form. ------ 147335/15768471. ------ 1. ==[ start ]==> (((a (a a))(b a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 147336/15768498. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.a))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.a))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.a))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.a)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 147337/15768525. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 147338/15768552. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 147339/15768606. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a a)(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.b))) REDUCED to normal form. ------ 147340/15768660. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((a a) a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((a a) a) b)) REDUCED to normal form. ------ 147341/15768687. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> ((b (a (^x.x)))((^z.z) c)) 6. ==[ alpha ]==> ((b (a (^x.x)))((^y.y) c)) 7. ==[ beta ]==> ((b (a (^x.x))) c) REDUCED to normal form. ------ 147342/15769128. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 147343/15769155. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a a) a)) 6. ==[ alpha ]==> ((^x.x)((a a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 147344/15769209. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 147345/15769290. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 147346/15769299. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(b (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 147347/15769326. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(a ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.b))(a ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.b))(a ((a a) a))) REDUCED to normal form. ------ 147348/15769407. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a ((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a ((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a a)) REDUCED to normal form. ------ 147349/15769434. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((b (^y.a))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b (^x.a))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 147350/15769461. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 147351/15769524. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 147352/15769551. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a (^z.a))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a (^y.a))) REDUCED to normal form. ------ 147353/15769578. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a b)((a (^y.y))(^z.(z z)))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 147354/15769605. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 147355/15769632. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(b a))(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> ((b a)(((^y.y)(^z.z)) a)) 6. ==[ alpha ]==> ((b a)(((^x.x)(^y.y)) a)) 7. ==[ beta ]==> ((b a)((^y.y) a)) 8. ==[ alpha ]==> ((b a)((^x.x) a)) 9. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 147356/15769659. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 147357/15769686. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(((^y.y) a) c)) 3. ==[ beta ]==> (((a b)(a a))(((^y.y) a) c)) 4. ==[ alpha ]==> (((a b)(a a))(((^x.x) a) c)) 5. ==[ beta ]==> (((a b)(a a))(a c)) REDUCED to normal form. ------ 147358/15769794. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(b b)) REDUCED to normal form. ------ 147359/15769821. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.a) c)) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.a) c)) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.a) c)) 5. ==[ beta ]==> ((b a)((^y.a) c)) 6. ==[ alpha ]==> ((b a)((^x.a) c)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 147360/15769902. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a (a a))(^z.z))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 147361/15769992. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 147362/15770073. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 147363/15770181. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b (^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147364/15770316. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 7. ==[ beta ]==> ((^y.a)(^z.z)) 8. ==[ alpha ]==> ((^x.a)(^y.y)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 147365/15770343. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147366/15770397. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(c (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(c (^z.z))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(c (^z.z))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(c (^z.z))) 5. ==[ beta ]==> ((b ((^y.y) b))(c (^z.z))) 6. ==[ alpha ]==> ((b ((^x.x) b))(c (^y.y))) 7. ==[ beta ]==> ((b b)(c (^y.y))) 8. ==[ alpha ]==> ((b b)(c (^x.x))) REDUCED to normal form. ------ 147367/15770406. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 147368/15770433. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((a a)(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((a a)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(a (^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147369/15770478. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 147370/15770487. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(b b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 147371/15770514. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(a c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(a c)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(a c)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a c)) REDUCED to normal form. ------ 147372/15770541. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(b (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(b (a a))) REDUCED to normal form. ------ 147373/15770586. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(b (^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147374/15770595. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(a a))) REDUCED to normal form. ------ 147375/15770622. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(b a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(b a)) 3. ==[ beta ]==> ((b (^y.(y y)))(b a)) 4. ==[ alpha ]==> ((b (^x.(x x)))(b a)) REDUCED to normal form. ------ 147376/15770649. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(a b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(a b)) REDUCED to normal form. ------ 147377/15770703. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(a a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(a a)) 3. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147378/15780429. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a)) b) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z)) b) 3. ==[ beta ]==> (((^y.y)(^z.z)) b) 4. ==[ alpha ]==> (((^x.x)(^y.y)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 147379/15780453. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.x1)) a)(^y1.y1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147380/15780534. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147381/15780843. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a a)(^y.((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((a a)(^x.((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a a)(^x.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 147382/15781389. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((b a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147383/15782031. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) REDUCED to normal form. ------ 147384/15783138. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)(^y.((a a)(a a)))) 4. ==[ alpha ]==> (((a a) a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 147385/15783498. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.((z z)(z z)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.((z z)(z z)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((y y)(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.((y y)(y y)))) 6. ==[ alpha ]==> ((a (a a))(^x.((x x)(x x)))) REDUCED to normal form. ------ 147386/15783603. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((((a a)(^z.z))(a (a a)))(((a a)(^z.z))(a (a a))))(^y.y)) 4. ==[ alpha ]==> (((((a a)(^x.x))(a (a a)))(((a a)(^y.y))(a (a a))))(^z.z)) REDUCED to normal form. ------ 147387/15784812. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 147388/15784908. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(a a))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 147389/15785703. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 147390/15785799. ------ 1. ==[ start ]==> ((^a.(^b.b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147391/15786756. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 147392/15787008. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 147393/15787113. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(a (a a)))(((^y.y)(^z.z))(a (a a))))((((^y.y)(^z.z))(a (a a)))(((^y.y)(^z.z))(a (a a))))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(a (a a))))((((^y1.y1)(^z1.z1))(a (a a)))(((^x2.x2)(^y2.y2))(a (a a))))) 5. ==[ beta ]==> ((((^y.y)(a (a a)))(((^z.z)(^x1.x1))(a (a a))))((((^y1.y1)(^z1.z1))(a (a a)))(((^x2.x2)(^y2.y2))(a (a a))))) 6. ==[ alpha ]==> ((((^x.x)(a (a a)))(((^y.y)(^z.z))(a (a a))))((((^x1.x1)(^y1.y1))(a (a a)))(((^z1.z1)(^x2.x2))(a (a a))))) 7. ==[ beta ]==> (((a (a a))(((^y.y)(^z.z))(a (a a))))((((^x1.x1)(^y1.y1))(a (a a)))(((^z1.z1)(^x2.x2))(a (a a))))) 8. ==[ alpha ]==> (((a (a a))(((^x.x)(^y.y))(a (a a))))((((^z.z)(^x1.x1))(a (a a)))(((^y1.y1)(^z1.z1))(a (a a))))) 9. ==[ beta ]==> (((a (a a))((^y.y)(a (a a))))((((^z.z)(^x1.x1))(a (a a)))(((^y1.y1)(^z1.z1))(a (a a))))) 10. ==[ alpha ]==> (((a (a a))((^x.x)(a (a a))))((((^y.y)(^z.z))(a (a a)))(((^x1.x1)(^y1.y1))(a (a a))))) 11. ==[ beta ]==> (((a (a a))(a (a a)))((((^y.y)(^z.z))(a (a a)))(((^x1.x1)(^y1.y1))(a (a a))))) 12. ==[ alpha ]==> (((a (a a))(a (a a)))((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(a (a a))))) 13. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a (a a)))(((^z.z)(^x1.x1))(a (a a))))) 14. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a (a a)))(((^y.y)(^z.z))(a (a a))))) 15. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(((^y.y)(^z.z))(a (a a))))) 16. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))(((^x.x)(^y.y))(a (a a))))) 17. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))((^y.y)(a (a a))))) 18. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))((^x.x)(a (a a))))) 19. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 147394/15787458. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^x.(a a))) REDUCED to normal form. ------ 147395/15787872. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(a b))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(a b))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a b))) REDUCED to normal form. ------ 147396/15788781. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 147397/15789447. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 147398/15789753. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z) a))) 5. ==[ beta ]==> (a (^y.((^z.z) a))) 6. ==[ alpha ]==> (a (^x.((^y.y) a))) 7. ==[ beta ]==> (a (^x.a)) REDUCED to normal form. ------ 147399/15789969. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 147400/15790077. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 147401/15790104. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.(a a))) REDUCED to normal form. ------ 147402/15790158. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147403/15790172. ------ 1. ==[ start ]==> (^a.(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (^x.(^y.(^z.(z (^x1.x1))))) REDUCED to normal form. ------ 147404/15790173. ------ 1. ==[ start ]==> (a (^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (a (^x.(^y.(y (^z.z))))) REDUCED to normal form. ------ 147405/15790188. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.(^z.z)) a)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 147406/15790215. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((b (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 147407/15790242. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a)(a a))(^y.a))) 3. ==[ beta ]==> ((a a)(((a a)(a a))(^y.a))) 4. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.a))) REDUCED to normal form. ------ 147408/15790269. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 147409/15790278. ------ 1. ==[ start ]==> (((^a.a) b)((^b.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.y)(a (a a)))) 3. ==[ beta ]==> (b ((^y.y)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 147410/15790305. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147411/15790323. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147412/15790350. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 147413/15790377. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 147414/15790386. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 147415/15790404. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 147416/15790413. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 147417/15790467. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147418/15790512. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 147419/15790548. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 147420/15790575. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a a)((^y.y)((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 147421/15790593. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> (((^y.y) a)(((^z.(^x1.x1)) a) a)) 4. ==[ alpha ]==> (((^x.x) a)(((^y.(^z.z)) a) a)) 5. ==[ beta ]==> (a (((^y.(^z.z)) a) a)) 6. ==[ alpha ]==> (a (((^x.(^y.y)) a) a)) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147422/15790620. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((b (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) b)) 5. ==[ beta ]==> ((b (^y.y)) b) 6. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 147423/15790845. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)(^d.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 147424/15790872. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 147425/15790899. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 147426/15790926. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 147427/15791016. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((b (^x.x))(a a))) REDUCED to normal form. ------ 147428/15791043. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 147429/15791070. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(b ((^z.z) a))) 6. ==[ alpha ]==> ((a (a (^x.x)))(b ((^y.y) a))) 7. ==[ beta ]==> ((a (a (^x.x)))(b a)) REDUCED to normal form. ------ 147430/15791097. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.(^y.y)))(a (a a)))) REDUCED to normal form. ------ 147431/15791124. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((b a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((b a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 147432/15791331. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.a))(c (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(c (^y.(a a)))) REDUCED to normal form. ------ 147433/15791592. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 147434/15791682. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b ((^y.(y y))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (b ((^x.(x x))(a (^y.(^z.z))))) 7. ==[ beta ]==> (b ((a (^y.(^z.z)))(a (^y.(^z.z))))) 8. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 147435/15791709. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)((^y.y) b))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 147436/15791763. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.x1))) REDUCED to normal form. ------ 147437/15791808. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a)(a a)) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(a a)) b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(a a)) b)) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(a a)) b)) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a)) b)) 7. ==[ beta ]==> ((a a)(((a a)(a a)) b)) REDUCED to normal form. ------ 147438/15791817. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 147439/15791844. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147440/15791871. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 147441/15792060. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 147442/15792474. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> (((a a)(a b))((a (^x.x)) b)) REDUCED to normal form. ------ 147443/15792501. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 147444/15792672. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147445/15792699. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a b)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.b))) 5. ==[ beta ]==> ((a b)(^y.b)) 6. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 147446/15792753. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147447/15792834. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 147448/15792843. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 147449/15792870. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((a a)(a a)))) 5. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 147450/15792888. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(a a)) a)) 5. ==[ beta ]==> ((a a)(((a a)(a a)) a)) REDUCED to normal form. ------ 147451/15792897. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 147452/15792915. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z) b) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z) b) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 5. ==[ beta ]==> (((^y.y) b) b) 6. ==[ alpha ]==> (((^x.x) b) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 147453/15792924. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 147454/15793032. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 147455/15793059. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 147456/15793203. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b ((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b ((^z.z) b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b ((^y.y) b))) 5. ==[ beta ]==> (((a (a a))(^x.x))(b b)) REDUCED to normal form. ------ 147457/15793230. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(a ((a a)(a a)))) 5. ==[ beta ]==> ((a (a a))(a ((a a)(a a)))) REDUCED to normal form. ------ 147458/15793257. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) b)(a a))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) b)(a a))) 5. ==[ beta ]==> ((((a a) a) a)(b (a a))) REDUCED to normal form. ------ 147459/15793284. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 147460/15793311. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))((b a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a a))((b a)((^x.x) a))) 5. ==[ beta ]==> (((a a)(a a))((b a) a)) REDUCED to normal form. ------ 147461/15793338. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 147462/15793518. ------ 1. ==[ start ]==> (((a b) c)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)(c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 147463/15793545. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b (^y.y))) 3. ==[ beta ]==> (((a a) b)(b (^y.y))) 4. ==[ alpha ]==> (((a a) b)(b (^x.x))) REDUCED to normal form. ------ 147464/15793590. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(b (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 147465/15793617. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 147466/15793626. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 147467/15793671. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 147468/15793707. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147469/15793734. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.b)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 147470/15793752. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a) a)(^z.b))) 3. ==[ beta ]==> (b (((a a) a)(^z.b))) 4. ==[ alpha ]==> (b (((a a) a)(^x.b))) REDUCED to normal form. ------ 147471/15793761. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(a b))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 147472/15793788. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 147473/15793815. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 147474/15794265. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 147475/15794517. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 147476/15794544. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 147477/15794571. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 147478/15794643. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 147479/15795435. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 147480/15795507. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147481/15795516. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 147482/15795534. ------ 1. ==[ start ]==> ((a (^b.b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 147483/15795813. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147484/15796020. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 147485/15796191. ------ 1. ==[ start ]==> (((a a)(^b.b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(c (^y.(a a)))) REDUCED to normal form. ------ 147486/15796218. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) REDUCED to normal form. ------ 147487/15796263. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 147488/15796299. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(a a))(a (^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147489/15796326. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 147490/15796344. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 147491/15796353. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 147492/15796380. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 147493/15796407. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 147494/15796452. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147495/15796461. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 147496/15796488. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((b (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((b (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 147497/15796686. ------ 1. ==[ start ]==> (((a b)((a a) a))(c (a b))) REDUCED to normal form. ------ 147498/15796713. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(b ((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(b (a a))) REDUCED to normal form. ------ 147499/15796740. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 147500/15796794. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a b)(a (^x1.x1)))) REDUCED to normal form. ------ 147501/15796821. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((b (a a))(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> ((b (a a))(((a a) a)((^x.x) a))) 5. ==[ beta ]==> ((b (a a))(((a a) a) a)) REDUCED to normal form. ------ 147502/15796848. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(a (a a)))) 5. ==[ beta ]==> ((a ((a a)(a a)))(a (a a))) REDUCED to normal form. ------ 147503/15797019. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 147504/15797127. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147505/15797163. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 147506/15797190. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a)(a a)) a)((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)(a a))) 5. ==[ beta ]==> ((((a a)(a a)) a)(a a)) REDUCED to normal form. ------ 147507/15797208. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a)) a)) 5. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 147508/15797235. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 147509/15797244. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 147510/15797352. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 147511/15797379. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 147512/15797577. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 147513/15797604. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a)(a b))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(a b))) REDUCED to normal form. ------ 147514/15798018. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.b) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.b) a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.b) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.b) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147515/15798207. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((a a) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147516/15798243. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b c)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b c)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 147517/15798270. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((((a a)(a a)) b)(a ((^y.y) a))) 6. ==[ alpha ]==> ((((a a)(a a)) b)(a ((^x.x) a))) 7. ==[ beta ]==> ((((a a)(a a)) b)(a a)) REDUCED to normal form. ------ 147518/15798315. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 147519/15798378. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 147520/15798396. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) b)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^z1.z1) b)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1) b)) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) b) REDUCED to normal form. ------ 147521/15798405. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 147522/15798486. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 147523/15798513. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.a)) REDUCED to normal form. ------ 147524/15798621. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(c (^z.(z z)))) 3. ==[ beta ]==> ((b (^y.a))(c (^z.(z z)))) 4. ==[ alpha ]==> ((b (^x.a))(c (^y.(y y)))) REDUCED to normal form. ------ 147525/15798648. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 147526/15798765. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(c d)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(c d)) 3. ==[ beta ]==> ((a ((^y.y) b))(c d)) 4. ==[ alpha ]==> ((a ((^x.x) b))(c d)) 5. ==[ beta ]==> ((a b)(c d)) REDUCED to normal form. ------ 147527/15798900. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(c ((^y.y) a))) 3. ==[ beta ]==> (((a a)(a b))(c ((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a b))(c ((^x.x) a))) 5. ==[ beta ]==> (((a a)(a b))(c a)) REDUCED to normal form. ------ 147528/15798927. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(b (a (a a)))) REDUCED to normal form. ------ 147529/15798981. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((a (a a))(a a))) REDUCED to normal form. ------ 147530/15799008. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((b a)(((^y.y) a)(a (^z.z)))) 6. ==[ alpha ]==> ((b a)(((^x.x) a)(a (^y.y)))) 7. ==[ beta ]==> ((b a)(a (a (^y.y)))) 8. ==[ alpha ]==> ((b a)(a (a (^x.x)))) REDUCED to normal form. ------ 147531/15799035. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 147532/15799179. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 147533/15799260. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1)) c)) 3. ==[ beta ]==> (b ((a (^x1.x1)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 147534/15799368. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147535/15799485. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z) a))) 5. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147536/15799503. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((^y.(^z.z)) a)(((^x1.x1) a) a)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) a) a)) 5. ==[ beta ]==> ((^y.y)(((^z.z) a) a)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a) a)) 7. ==[ beta ]==> (((^y.y) a) a) 8. ==[ alpha ]==> (((^x.x) a) a) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147537/15799530. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 147538/15799584. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.a) a)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.a) a)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.a) a)) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.a) a)) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.a) a)) 7. ==[ beta ]==> ((b b)((^y.a) a)) 8. ==[ alpha ]==> ((b b)((^x.a) a)) 9. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 147539/15799593. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(c (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(c (^y.y))) REDUCED to normal form. ------ 147540/15799620. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(b (^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(b (^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147541/15799665. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 147542/15799674. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 147543/15799701. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 147544/15799728. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 147545/15799773. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147546/15799782. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (^y1.y1))) REDUCED to normal form. ------ 147547/15799809. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.(y y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 147548/15799836. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.a))(a a)) REDUCED to normal form. ------ 147549/15799890. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(a (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 147550/15799905. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a)))) a) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z)))) a) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 147551/15799907. ------ 1. ==[ start ]==> (^a.(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (^x.(x (^y.(y (^z.z))))) REDUCED to normal form. ------ 147552/15799908. ------ 1. ==[ start ]==> (a (a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (a (a (^x.(x (^y.y))))) REDUCED to normal form. ------ 147553/15799911. ------ 1. ==[ start ]==> ((^a.a)(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> ((^x.x)(^y.(^z.(z (^x1.x1))))) 3. ==[ beta ]==> (^y.(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (^x.(^y.(y (^z.z)))) REDUCED to normal form. ------ 147554/15800730. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.(^z1.z1)) x1))) 3. ==[ eta ]==> ((^x.(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147555/15808821. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(^x1.(^y1.(^z1.z1)))) 3. ==[ eta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147556/15809640. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(^a.a)) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(^x1.x1)) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 147557/15809643. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a)))) a) 2. ==[ alpha ]==> ((a (^x.(x (^y.y)))) a) REDUCED to normal form. ------ 147558/15809649. ------ 1. ==[ start ]==> ((^a.a)(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> ((^x.x)(a (^y.(y (^z.z))))) 3. ==[ beta ]==> (a (^y.(y (^z.z)))) 4. ==[ alpha ]==> (a (^x.(x (^y.y)))) REDUCED to normal form. ------ 147559/15809652. ------ 1. ==[ start ]==> ((a a)(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> ((a a)(^x.(^y.(y (^z.z))))) REDUCED to normal form. ------ 147560/15809784. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.z1)) 5. ==[ beta ]==> ((^y.(^z.z))(^z1.z1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147561/15809973. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))((^x1.x1) b))) 3. ==[ eta ]==> ((^y.y)((^z.(z z))((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) b))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) b)) 7. ==[ beta ]==> (((^y.y) b)((^y.y) b)) 8. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 9. ==[ beta ]==> (b ((^y.y) b)) 10. ==[ alpha ]==> (b ((^x.x) b)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 147562/15810468. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147563/15810471. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 147564/15811236. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 147565/15811539. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(y y))(^z.(^x1.(^y1.y1)))) b) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1)))) b) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) b) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) b) 7. ==[ beta ]==> ((^y.(^z.z)) b) 8. ==[ alpha ]==> ((^x.(^y.y)) b) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147566/15811632. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(b (^x1.x1)))) IRREDUCIBLE: cycle. ------ 147567/15811926. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.((((^z.z) a)(a (^x1.(^y1.y1))))(((^z.z) a)(a (^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (^x.((((^y.y) a)(a (^z.(^x1.x1))))(((^y1.y1) a)(a (^z1.(^x2.x2)))))) 5. ==[ beta ]==> (^x.((a (a (^z.(^x1.x1))))(((^y1.y1) a)(a (^z1.(^x2.x2)))))) 6. ==[ alpha ]==> (^x.((a (a (^y.(^z.z))))(((^x1.x1) a)(a (^y1.(^z1.z1)))))) 7. ==[ beta ]==> (^x.((a (a (^y.(^z.z))))(a (a (^y1.(^z1.z1)))))) 8. ==[ alpha ]==> (^x.((a (a (^y.(^z.z))))(a (a (^x1.(^y1.y1)))))) REDUCED to normal form. ------ 147568/15812703. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(a a)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 147569/15813378. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x) a)(a b))(^z.z)) 4. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.y)) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 147570/15813564. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(^z.b))) 3. ==[ eta ]==> (b ((^y.a)(^z.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 147571/15814008. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 147572/15814323. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)(^y.(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 147573/15815187. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(z a))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(z a))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(y a))) REDUCED to normal form. ------ 147574/15815319. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 147575/15815961. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 147576/15816213. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 147577/15817104. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 147578/15817398. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 147579/15817491. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(y1 b))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(y1 b))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(x2 b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(x2 b))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147580/15818292. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b a)(^x.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 147581/15818559. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(a (^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147582/15818562. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 147583/15819057. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(x x))((^y.y) b))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.z)) 5. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.z)) 6. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.z)) 7. ==[ beta ]==> ((b ((^y.y) b))(^z.z)) 8. ==[ alpha ]==> ((b ((^x.x) b))(^y.y)) 9. ==[ beta ]==> ((b b)(^y.y)) 10. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 147584/15819174. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 147585/15819246. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.(z1 (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(z1 (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147586/15819282. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.z)) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.z)) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 147587/15819309. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 147588/15819363. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(^b.a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(^x1.a)) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 147589/15819378. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(a a)) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(a a)) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 147590/15819381. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(^a.a)) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.z)) REDUCED to normal form. ------ 147591/15819393. ------ 1. ==[ start ]==> ((a a)(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> ((a a)(a (^x.(x (^y.y))))) REDUCED to normal form. ------ 147592/15819411. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.(^z.z)) a)(^x1.x1))) 3. ==[ beta ]==> (a (((^y.(^z.z)) a)(^x1.x1))) 4. ==[ alpha ]==> (a (((^x.(^y.y)) a)(^z.z))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 147593/15819438. ------ 1. ==[ start ]==> (((a a) a)((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((b (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 147594/15819465. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(a a))(^y.a))) REDUCED to normal form. ------ 147595/15819492. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) b)(^z.(z z)))) 3. ==[ beta ]==> (b (((^y.y) b)(^z.(z z)))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.(y y)))) 5. ==[ beta ]==> (b (b (^y.(y y)))) 6. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 147596/15819501. ------ 1. ==[ start ]==> (((a a)(a a))((^b.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 147597/15819519. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 147598/15819528. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 147599/15819546. ------ 1. ==[ start ]==> (((a a) b)((b a)(^c.a))) 2. ==[ alpha ]==> (((a a) b)((b a)(^x.a))) REDUCED to normal form. ------ 147600/15819573. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(^z.b))) REDUCED to normal form. ------ 147601/15819600. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 147602/15819627. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 147603/15819681. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 147604/15819690. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 147605/15819717. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) b))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) b))) 5. ==[ beta ]==> ((a a)(((^y.y) b)((^y.y) b))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)((^y.y) b))) 7. ==[ beta ]==> ((a a)(b ((^y.y) b))) 8. ==[ alpha ]==> ((a a)(b ((^x.x) b))) 9. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 147606/15819816. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 147607/15819843. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b (^x1.x1)) b)) REDUCED to normal form. ------ 147608/15819906. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 147609/15819933. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 147610/15820185. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (b (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(b (b (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(b (b (^x.x)))) REDUCED to normal form. ------ 147611/15820212. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 147612/15820347. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147613/15820374. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 147614/15820428. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)((a b)((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 7. ==[ beta ]==> ((a b)((^y.y)(a a))) 8. ==[ alpha ]==> ((a b)((^x.x)(a a))) 9. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 147615/15820482. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(b a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(b a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 9. ==[ beta ]==> ((^y.y)(b a)) 10. ==[ alpha ]==> ((^x.x)(b a)) 11. ==[ beta ]==> (b a) REDUCED to normal form. ------ 147616/15820509. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 147617/15820563. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((a a)(a a)))) REDUCED to normal form. ------ 147618/15820689. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 147619/15820716. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 147620/15820896. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b ((a (a a))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (b ((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 147621/15820923. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(^y.y))) 3. ==[ beta ]==> ((((a a) a) a)(a (^y.y))) 4. ==[ alpha ]==> ((((a a) a) a)(a (^x.x))) REDUCED to normal form. ------ 147622/15821004. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((b (^z.z)) a)) 3. ==[ beta ]==> ((a (^y.(y y)))((b (^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((b (^y.y)) a)) REDUCED to normal form. ------ 147623/15821031. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(a a)) b)) REDUCED to normal form. ------ 147624/15821058. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b) c)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b) c)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147625/15821175. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a))(^z.b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.b))) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 147626/15821202. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.(a a)))) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 147627/15821283. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 147628/15821373. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (b (^z.z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a (b (^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a (b (^z.z)))) IRREDUCIBLE: cycle. ------ 147629/15821436. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.b) c)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x) c)) 3. ==[ beta ]==> ((((a a) a) b) c) REDUCED to normal form. ------ 147630/15821454. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 147631/15821481. ------ 1. ==[ start ]==> (((^a.a)(a b))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((b a)(a (a a)))) 3. ==[ beta ]==> ((a b)((b a)(a (a a)))) REDUCED to normal form. ------ 147632/15821508. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 147633/15821562. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a b)(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b)(a b))) REDUCED to normal form. ------ 147634/15821643. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (a a))(b a))) 3. ==[ beta ]==> (b ((a (a a))(b a))) REDUCED to normal form. ------ 147635/15821670. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.(a a)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 147636/15821688. ------ 1. ==[ start ]==> (((a a)(a b))(c (^b.b))) 2. ==[ alpha ]==> (((a a)(a b))(c (^x.x))) REDUCED to normal form. ------ 147637/15821715. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (^y.(a a)))) REDUCED to normal form. ------ 147638/15821796. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (a ((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> (a ((^x.x)(a (^y.y)))) 9. ==[ beta ]==> (a (a (^y.y))) 10. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 147639/15821823. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 147640/15821841. ------ 1. ==[ start ]==> (((^a.b) b)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((b a)(^y.(y y)))) 3. ==[ beta ]==> (b ((b a)(^y.(y y)))) 4. ==[ alpha ]==> (b ((b a)(^x.(x x)))) REDUCED to normal form. ------ 147641/15822057. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 147642/15822111. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a)(a a)) a)) REDUCED to normal form. ------ 147643/15822138. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) b) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(b b)) REDUCED to normal form. ------ 147644/15822336. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 147645/15822390. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 147646/15822417. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 147647/15822489. ------ 1. ==[ start ]==> (((^a.b) c)((^b.b) b)) 2. ==[ alpha ]==> (((^x.b) c)((^y.y) b)) 3. ==[ beta ]==> (b ((^y.y) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 147648/15822588. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 147649/15822723. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)(b a))) 3. ==[ beta ]==> (b (((^z.z) a)(b a))) 4. ==[ alpha ]==> (b (((^x.x) a)(b a))) 5. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 147650/15822840. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 147651/15822867. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((b a)(^z.a))) 3. ==[ beta ]==> ((a (^y.b))((b a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.b))((b a)(^y.a))) REDUCED to normal form. ------ 147652/15822921. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147653/15822948. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b)(^y.a))) REDUCED to normal form. ------ 147654/15822975. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)(^y.b))) REDUCED to normal form. ------ 147655/15823002. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(a a)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(a a))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 147656/15823065. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)(b a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 147657/15823092. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 147658/15823119. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((a (a b))((^y.y)((^z.z) b))) 4. ==[ alpha ]==> ((a (a b))((^x.x)((^y.y) b))) 5. ==[ beta ]==> ((a (a b))((^y.y) b)) 6. ==[ alpha ]==> ((a (a b))((^x.x) b)) 7. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 147659/15823146. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 147660/15823173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 10. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147661/15823227. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 147662/15823254. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 147663/15823281. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 147664/15823308. ------ 1. ==[ start ]==> ((a (b a))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.b))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 147665/15823398. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c (b a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c (b a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c (b a))) 5. ==[ beta ]==> (b (c (b a))) REDUCED to normal form. ------ 147666/15823479. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 147667/15823542. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z)) d)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 147668/15823587. ------ 1. ==[ start ]==> (((^a.a)(b a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b a)((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b a)((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b a)((a b)(^y.y))) 6. ==[ alpha ]==> ((b a)((a b)(^x.x))) REDUCED to normal form. ------ 147669/15823614. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 147670/15823668. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a b))((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b)(a b))((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (((a b)(a b))((a (a a))(a a))) REDUCED to normal form. ------ 147671/15823749. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (b ((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (b ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 147672/15823785. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 147673/15823812. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 147674/15823875. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 147675/15823902. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 147676/15823956. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 147677/15823983. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y)(a a)))) 9. ==[ beta ]==> (((a a) a)((a a)((^y.y)(a a)))) 10. ==[ alpha ]==> (((a a) a)((a a)((^x.x)(a a)))) 11. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 147678/15824010. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 147679/15824037. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 147680/15824064. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.(^z.z))))) 7. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 8. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 147681/15824091. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 147682/15824316. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c ((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (c ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (c ((a a)(^x.x)))) REDUCED to normal form. ------ 147683/15824424. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((a a)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147684/15824451. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z) a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 147685/15824478. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 147686/15824532. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))((a a) a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((a a) a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((a a) a))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)((a a) a))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a) a))) 11. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 147687/15824613. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 147688/15824676. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((b a)(^z.z))) REDUCED to normal form. ------ 147689/15824730. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^x1.a))) REDUCED to normal form. ------ 147690/15824766. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 147691/15824793. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 147692/15824820. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 147693/15824847. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(y y))(a b))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(a b))) 5. ==[ beta ]==> (((a (a a))(a a))((a b)(a b))) REDUCED to normal form. ------ 147694/15824874. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a b)((^y.a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 147695/15824901. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 147696/15824928. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)(b a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(b a))) 5. ==[ beta ]==> (((a b)(^x.x))(b a)) REDUCED to normal form. ------ 147697/15825036. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 147698/15825063. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 147699/15825234. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (b (((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 147700/15825342. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))((^y2.y2)(^z2.z2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(^x2.x2))((^y2.y2)(^z2.z2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147701/15825396. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(a b))) 5. ==[ beta ]==> (b (((^y.y) a)(a b))) 6. ==[ alpha ]==> (b (((^x.x) a)(a b))) 7. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 147702/15825423. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 147703/15825513. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147704/15825540. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a b)(^y.a))) REDUCED to normal form. ------ 147705/15825567. ------ 1. ==[ start ]==> (((a b)(^c.a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 147706/15825594. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 147707/15825675. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) REDUCED to normal form. ------ 147708/15825702. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 147709/15825738. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 147710/15825765. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a a)) REDUCED to normal form. ------ 147711/15825792. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (b a))((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a (b a))((^x.b)(^y.a))) 5. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 147712/15825846. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 147713/15825873. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(^y.a))) 5. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 147714/15825900. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(^y.b))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 147715/15825927. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 147716/15826098. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 147717/15826377. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((b b)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 147718/15826404. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 147719/15826458. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b) b)) REDUCED to normal form. ------ 147720/15826584. ------ 1. ==[ start ]==> (((^a.b)(a b))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 147721/15826647. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 147722/15826692. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((a a) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147723/15826701. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^c.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 147724/15826818. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b (^z.b))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (^z.b))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.b))) REDUCED to normal form. ------ 147725/15826845. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(a (^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(a a)))) REDUCED to normal form. ------ 147726/15826872. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.b)(a a))) 3. ==[ beta ]==> (((a (a a))(b a)) b) REDUCED to normal form. ------ 147727/15826926. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 147728/15826953. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 147729/15826980. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 147730/15827007. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 147731/15827061. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 147732/15827088. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 147733/15827115. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 147734/15827142. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a (b (^x.x)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((a (b (^x.x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 147735/15827232. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a (a b))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a (a b))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(a (a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a b))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147736/15827313. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (b ((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 147737/15827457. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b c)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b c)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b c)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b c)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((b c)(^y.(^z.z))) 8. ==[ alpha ]==> ((b c)(^x.(^y.y))) REDUCED to normal form. ------ 147738/15827484. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (a a))(^x.a))) REDUCED to normal form. ------ 147739/15827592. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a) a)) 3. ==[ beta ]==> ((a (^y.y))(((a a) a) a)) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a) a)) REDUCED to normal form. ------ 147740/15827619. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((^y1.y1) b)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1) b)) 5. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 147741/15827691. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 147742/15827799. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147743/15827925. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 147744/15827952. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 147745/15827979. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a b)((^y.a)((^z.z) a))) 6. ==[ alpha ]==> ((a b)((^x.a)((^y.y) a))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 147746/15828006. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 147747/15828033. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((b a)(^y.y)) 10. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 147748/15828060. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 147749/15828087. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a b)(a a))(^y.y)) 8. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 147750/15828114. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(a b))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 147751/15828141. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 147752/15828303. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 147753/15828474. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (a (^x1.x1)))) 3. ==[ beta ]==> (b (c (a (^x1.x1)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 147754/15828582. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147755/15828699. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((a a)(^z.a))) 3. ==[ beta ]==> (((^y.y) a)((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(^y.a))) 5. ==[ beta ]==> (a ((a a)(^y.a))) 6. ==[ alpha ]==> (a ((a a)(^x.a))) REDUCED to normal form. ------ 147756/15828744. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(c (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(c (a a))) 3. ==[ beta ]==> ((^y.y)(c (a a))) 4. ==[ alpha ]==> ((^x.x)(c (a a))) 5. ==[ beta ]==> (c (a a)) REDUCED to normal form. ------ 147757/15828798. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(a ((^z.z) a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(a ((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(a ((^z.z) a))) 5. ==[ beta ]==> ((b ((^y.y) b))(a ((^z.z) a))) 6. ==[ alpha ]==> ((b ((^x.x) b))(a ((^y.y) a))) 7. ==[ beta ]==> ((b b)(a ((^y.y) a))) 8. ==[ alpha ]==> ((b b)(a ((^x.x) a))) 9. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 147758/15828807. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a) a)) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 147759/15828834. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1)) b)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147760/15828879. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(c a)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 147761/15828888. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 147762/15828915. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 147763/15828942. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((a (^z.z)) a)) REDUCED to normal form. ------ 147764/15828987. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(a (a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147765/15828996. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 147766/15829023. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((^z.z) b)) 3. ==[ beta ]==> ((b (^y.(y y)))((^z.z) b)) 4. ==[ alpha ]==> ((b (^x.(x x)))((^y.y) b)) 5. ==[ beta ]==> ((b (^x.(x x))) b) REDUCED to normal form. ------ 147767/15829050. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 147768/15829104. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))((^x1.x1) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 147769/15829119. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a)))) b) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z)))) b) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 147770/15829122. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(a a)) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(a a)) REDUCED to normal form. ------ 147771/15829143. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 (^y1.y1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147772/15838863. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(^x1.(^y1.y1))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 147773/15838866. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a)))) b) 2. ==[ alpha ]==> ((a (^x.(x (^y.y)))) b) REDUCED to normal form. ------ 147774/15838890. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z (^x1.x1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147775/15838893. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(z (^x1.x1))))) REDUCED to normal form. ------ 147776/15838908. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.(^z.z)) a)(^x1.x1))) 3. ==[ beta ]==> ((((^y.(^z.z)) a)(^x1.x1))(((^y.(^z.z)) a)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(((^x1.(^y1.y1)) a)(^z1.z1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.(^y1.y1)) a)(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.(^x1.x1)) a)(^y1.y1))) 7. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) a)(^y1.y1))) 8. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a)(^x1.x1))) 9. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.x1)) 10. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147777/15838935. ------ 1. ==[ start ]==> ((^a.b)((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((b (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 147778/15839016. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^z.(^x1.x1)))(^y1.(^z1.z1)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 147779/15839133. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.b)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.b)((a a)(^z.z)))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 147780/15839205. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))(^z.z))) 3. ==[ eta ]==> ((^y.y)((a (a a))(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 147781/15839298. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (((^y.y) a)(^z.((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (a (^y.((^z.(^x1.x1)) a))) 6. ==[ alpha ]==> (a (^x.((^y.(^z.z)) a))) 7. ==[ beta ]==> (a (^x.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 147782/15840591. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 147783/15841365. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((((a a)(^z.z))(^x1.(^y1.y1)))(((a a)(^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((((a a)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((((a a)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 147784/15841593. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((a a)(a a)))) 5. ==[ beta ]==> ((a a)(^y.((a a)(a a)))) 6. ==[ alpha ]==> ((a a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 147785/15842610. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 147786/15843249. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 147787/15844236. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147788/15844419. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 147789/15845913. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 147790/15846138. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 147791/15846723. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(^z1.y1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(^z1.y1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(^y2.x2))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(^y2.x2))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147792/15846912. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147793/15847524. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 147794/15848208. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 7. ==[ beta ]==> (^y.((^z.z) a)) 8. ==[ alpha ]==> (^x.((^y.y) a)) 9. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 147795/15848289. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(^x1.a))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(^x1.a))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(^z.a))) 7. ==[ beta ]==> ((b b)(^y.(^z.a))) 8. ==[ alpha ]==> ((b b)(^x.(^y.a))) REDUCED to normal form. ------ 147796/15848298. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 147797/15848370. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 147798/15848433. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^a.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.c)) REDUCED to normal form. ------ 147799/15848478. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147800/15848487. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(y1 (^z1.z1)))) REDUCED to normal form. ------ 147801/15848514. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.(a a))) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.(a a))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 147802/15848595. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(^x1.(x1 x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 147803/15848610. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(a (^x1.x1))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 147804/15848613. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 147805/15848643. ------ 1. ==[ start ]==> ((a (^a.a))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.(y (^z.z))))) REDUCED to normal form. ------ 147806/15848661. ------ 1. ==[ start ]==> ((a (a a))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> ((a (a a))(((^x.(^y.y)) a)(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 147807/15848688. ------ 1. ==[ start ]==> ((a b)((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((b (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 147808/15848742. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) b)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.(x x)))) REDUCED to normal form. ------ 147809/15848769. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 147810/15848778. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147811/15848859. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147812/15848886. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 147813/15848931. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 147814/15848958. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a))(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(^y.y))) 3. ==[ beta ]==> ((a a)((a (a a))(^y.y))) 4. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 147815/15848967. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))((^z.z) b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 147816/15848994. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(a a)))) 5. ==[ beta ]==> ((^y.a)((a a)(a a))) 6. ==[ alpha ]==> ((^x.a)((a a)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 147817/15849048. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (a ((^y.y)((^z.(^x1.x1)) a))) 6. ==[ alpha ]==> (a ((^x.x)((^y.(^z.z)) a))) 7. ==[ beta ]==> (a ((^y.(^z.z)) a)) 8. ==[ alpha ]==> (a ((^x.(^y.y)) a)) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 147818/15849264. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147819/15849345. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 147820/15849372. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147821/15849435. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (b (^y.y)))) REDUCED to normal form. ------ 147822/15849543. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) b)((^z.z) a))) 3. ==[ beta ]==> ((b b)(((^y.y) b)((^z.z) a))) 4. ==[ alpha ]==> ((b b)(((^x.x) b)((^y.y) a))) 5. ==[ beta ]==> ((b b)(b ((^y.y) a))) 6. ==[ alpha ]==> ((b b)(b ((^x.x) a))) 7. ==[ beta ]==> ((b b)(b a)) REDUCED to normal form. ------ 147823/15849678. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a b)((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)((a b)(a a))) REDUCED to normal form. ------ 147824/15849705. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> (a (((a a) a)((a a)(^y.y)))) 6. ==[ alpha ]==> (a (((a a) a)((a a)(^x.x)))) REDUCED to normal form. ------ 147825/15849732. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(b a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 147826/15849759. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (a a))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 147827/15849786. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.a))(a ((^z.z) b))) 6. ==[ alpha ]==> ((a (^x.a))(a ((^y.y) b))) 7. ==[ beta ]==> ((a (^x.a))(a b)) REDUCED to normal form. ------ 147828/15849813. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))((a a)(a a)))) REDUCED to normal form. ------ 147829/15849840. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a a)(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(b (^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(b (^z.z)))) 6. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 7. ==[ beta ]==> ((a a)(b (^y.y))) 8. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 147830/15849876. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 147831/15849903. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 147832/15849930. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b)(^z.a))) 5. ==[ beta ]==> ((a a)(((^y.y) b)(^z.a))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.a))) 7. ==[ beta ]==> ((a a)(b (^y.a))) 8. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 147833/15849957. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 147834/15849984. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((b a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 147835/15850047. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147836/15850101. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (a ((^z.a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.a)((a a)(^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147837/15850182. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((a a) a)((^y.a)((^z.z) b))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y) b))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 147838/15850209. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147839/15850344. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 147840/15850533. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 147841/15850677. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a) b)(b (a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a) b)(b (a (^x.x)))) REDUCED to normal form. ------ 147842/15850704. ------ 1. ==[ start ]==> (((a b) a)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> (((a b) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 147843/15850731. ------ 1. ==[ start ]==> (((a a)(^a.b))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((b a)(a (a a)))) REDUCED to normal form. ------ 147844/15850785. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 147845/15850812. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b)(a b))) REDUCED to normal form. ------ 147846/15850839. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)(((a a) a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.a)(((a a) a)((^y.y)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 147847/15850866. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 147848/15850893. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))(b a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(b a))) REDUCED to normal form. ------ 147849/15851010. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 147850/15851037. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (((^y.y) b)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (((^x.x) b)(^y.(^z.z)))) 9. ==[ beta ]==> (a (b (^y.(^z.z)))) 10. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 147851/15851064. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 147852/15851091. ------ 1. ==[ start ]==> (((a b)(a a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((b a)(^x.(x x)))) REDUCED to normal form. ------ 147853/15851118. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 147854/15851127. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147855/15851154. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a a) a)) 6. ==[ alpha ]==> ((^x.(a a))((a a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147856/15851208. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 147857/15851289. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 147858/15851343. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)((a a)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)((a a)(a a)))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 147859/15851370. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147860/15851424. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.a))) 11. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.a)) 12. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 13. ==[ beta ]==> (^y.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147861/15851505. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 147862/15851730. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) b)(a a))) 3. ==[ beta ]==> (b (((^y.y) b)(a a))) 4. ==[ alpha ]==> (b (((^x.x) b)(a a))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 147863/15851739. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y) b)) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 147864/15851973. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)(b a))) 3. ==[ beta ]==> (((a b) c)(a (b a))) REDUCED to normal form. ------ 147865/15852000. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 147866/15852027. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)((^y.y) b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a) b)) REDUCED to normal form. ------ 147867/15852072. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147868/15852207. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.b)((a a) a))) 3. ==[ beta ]==> (b ((^z.b)((a a) a))) 4. ==[ alpha ]==> (b ((^x.b)((a a) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 147869/15852333. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 147870/15852360. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a)(^y.y))) 3. ==[ beta ]==> ((a (a b))((a a)(^y.y))) 4. ==[ alpha ]==> ((a (a b))((a a)(^x.x))) REDUCED to normal form. ------ 147871/15852387. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x) b) a)) 3. ==[ beta ]==> (((a (a a))((a a) a))(b a)) REDUCED to normal form. ------ 147872/15852414. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1))) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1))) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1))) b)) 7. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) b)) 8. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 9. ==[ beta ]==> ((a (^y.(^z.z))) b) 10. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 147873/15852441. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((b a) c)) REDUCED to normal form. ------ 147874/15852783. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 147875/15852891. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(a b))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a b))) 7. ==[ beta ]==> ((a (^x.(a a)))(a b)) REDUCED to normal form. ------ 147876/15852918. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a (a a))(a a))) REDUCED to normal form. ------ 147877/15852972. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 147878/15852990. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b (b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 147879/15852999. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 147880/15853116. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(b a))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(b a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 147881/15853143. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 147882/15853197. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a (a a))(a b))(^y.b)) 6. ==[ alpha ]==> (((a (a a))(a b))(^x.b)) REDUCED to normal form. ------ 147883/15853224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(^y.(a a)))) 6. ==[ alpha ]==> (((a a) a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 147884/15853305. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 147885/15853332. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 147886/15853476. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a a)((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 147887/15853557. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 147888/15853674. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 147889/15853701. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 147890/15853782. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 147891/15853809. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(a b))) 5. ==[ beta ]==> ((^y.b)((a (a a))(a b))) 6. ==[ alpha ]==> ((^x.b)((a (a a))(a b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 147892/15853854. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 147893/15853863. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 147894/15853890. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a)(b a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(b a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(b a))) REDUCED to normal form. ------ 147895/15853989. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 147896/15854007. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a b)(^z.(z z)))) REDUCED to normal form. ------ 147897/15854034. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 147898/15854088. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (a a))(^y.b))) 3. ==[ beta ]==> (((a (a a))(a a))((a (a a))(^y.b))) 4. ==[ alpha ]==> (((a (a a))(a a))((a (a a))(^x.b))) REDUCED to normal form. ------ 147899/15854115. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(a a)))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(a a)))) 7. ==[ beta ]==> ((a b)(a (^y.(a a)))) 8. ==[ alpha ]==> ((a b)(a (^x.(a a)))) REDUCED to normal form. ------ 147900/15854196. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((b a) a)) 3. ==[ beta ]==> (((a a)(a (a a)))((b a) a)) REDUCED to normal form. ------ 147901/15854223. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) b)) REDUCED to normal form. ------ 147902/15854313. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 147903/15854340. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.a))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147904/15854592. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 147905/15854619. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (a a))((a a) a))) 3. ==[ beta ]==> ((b a)((a (a a))((a a) a))) REDUCED to normal form. ------ 147906/15854646. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a a)(^x.x))(a (a b))) REDUCED to normal form. ------ 147907/15854673. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(a a))) REDUCED to normal form. ------ 147908/15854799. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 147909/15854907. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147910/15854979. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((a a)(^y.y)) a)) 3. ==[ beta ]==> (((a a) b)(((a a)(^y.y)) a)) 4. ==[ alpha ]==> (((a a) b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 147911/15855006. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a a) b)) REDUCED to normal form. ------ 147912/15855033. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a b) c)) 3. ==[ beta ]==> ((a (b a))((a b) c)) REDUCED to normal form. ------ 147913/15855249. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a a)) REDUCED to normal form. ------ 147914/15855276. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.b) c)) 3. ==[ beta ]==> ((b (a a))((^y.b) c)) 4. ==[ alpha ]==> ((b (a a))((^x.b) c)) 5. ==[ beta ]==> ((b (a a)) b) REDUCED to normal form. ------ 147915/15855474. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a))(a a))) 3. ==[ beta ]==> (b ((^z.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 147916/15855582. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147917/15855663. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 7. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 147918/15855690. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 147919/15855744. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 147920/15855825. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 147921/15855834. ------ 1. ==[ start ]==> (((a b)(^a.b))(c ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))(c ((a a) a))) REDUCED to normal form. ------ 147922/15855888. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 147923/15855942. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((a a) a)(a (^x1.x1)))) REDUCED to normal form. ------ 147924/15855969. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.x1)((^y1.y1) a))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.x1) a)) 8. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z) a)) 9. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 147925/15855996. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 147926/15856113. ------ 1. ==[ start ]==> (((a (a a))(b a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((a b)(^x.x))) REDUCED to normal form. ------ 147927/15856140. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 147928/15856167. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.a))) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.a))) 7. ==[ beta ]==> ((((a a) a)(a a))(^y.a)) 8. ==[ alpha ]==> ((((a a) a)(a a))(^x.a)) REDUCED to normal form. ------ 147929/15856194. ------ 1. ==[ start ]==> (((a b)(a b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 147930/15856221. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 147931/15856302. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a b) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a b) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a b) a)) REDUCED to normal form. ------ 147932/15856329. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((a a) a) b)) 3. ==[ beta ]==> ((b (a (^y.y)))(((a a) a) b)) 4. ==[ alpha ]==> ((b (a (^x.x)))(((a a) a) b)) REDUCED to normal form. ------ 147933/15856473. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.b))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2)(^y2.b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2)(^y2.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147934/15856662. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a (^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147935/15856770. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 147936/15856797. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147937/15856932. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 147938/15856941. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(c (a (a a)))) REDUCED to normal form. ------ 147939/15856968. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.b))(b (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.b))(b (^y.y))) REDUCED to normal form. ------ 147940/15857049. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (a a))(a (^x1.x1)))) REDUCED to normal form. ------ 147941/15857076. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.a))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((b (^x.a))(a ((^z.z) a))) 6. ==[ alpha ]==> ((b (^x.a))(a ((^y.y) a))) 7. ==[ beta ]==> ((b (^x.a))(a a)) REDUCED to normal form. ------ 147942/15857103. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 147943/15857166. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(b (^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 147944/15857193. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 147945/15857220. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) b))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(^z.a))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.a))) 7. ==[ beta ]==> ((a b)(a (^y.a))) 8. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 147946/15857247. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 147947/15857274. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 147948/15857301. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))((^z.z) a)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y) a)) 5. ==[ beta ]==> ((((a a) a)((a a)(^x.x))) a) REDUCED to normal form. ------ 147949/15857328. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (a a)) b)) 3. ==[ beta ]==> (((a b)(a a))((a (a a)) b)) REDUCED to normal form. ------ 147950/15857355. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(((^y.y) a) c)) 3. ==[ beta ]==> (((a a)(a b))(((^y.y) a) c)) 4. ==[ alpha ]==> (((a a)(a b))(((^x.x) a) c)) 5. ==[ beta ]==> (((a a)(a b))(a c)) REDUCED to normal form. ------ 147951/15857436. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 147952/15857463. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(z z)) b)) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(z z)) b)) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(y y)) b)) 5. ==[ beta ]==> ((b a)((^y.(y y)) b)) 6. ==[ alpha ]==> ((b a)((^x.(x x)) b)) 7. ==[ beta ]==> ((b a)(b b)) REDUCED to normal form. ------ 147953/15857490. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.a) c)) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x))) a) REDUCED to normal form. ------ 147954/15857634. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147955/15857715. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 147956/15857823. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(c (^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147957/15857940. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(b c)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(b c)) 3. ==[ beta ]==> (((^y.y) a)(b c)) 4. ==[ alpha ]==> (((^x.x) a)(b c)) 5. ==[ beta ]==> (a (b c)) REDUCED to normal form. ------ 147958/15857958. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 147959/15857985. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 147960/15858039. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.y)(^z.a))) 7. ==[ beta ]==> ((b b)((^y.y)(^z.a))) 8. ==[ alpha ]==> ((b b)((^x.x)(^y.a))) 9. ==[ beta ]==> ((b b)(^y.a)) 10. ==[ alpha ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 147961/15858048. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 147962/15858075. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((a (^z1.z1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))(a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147963/15858120. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 147964/15858129. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(c a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c a)) REDUCED to normal form. ------ 147965/15858156. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(b b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(b b)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(b b)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(b b)) REDUCED to normal form. ------ 147966/15858183. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(a c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(a c)) REDUCED to normal form. ------ 147967/15858228. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((^z1.z1)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147968/15858237. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (a (^y1.y1)))) REDUCED to normal form. ------ 147969/15858264. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((a a)(a a))) 3. ==[ beta ]==> ((b (^y.(y y)))((a a)(a a))) 4. ==[ alpha ]==> ((b (^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 147970/15858291. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(b a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(b a)) REDUCED to normal form. ------ 147971/15858345. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(a (a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(a (a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 147972/15858363. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(a (^a.a))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(a (^z.z))) REDUCED to normal form. ------ 147973/15858380. ------ 1. ==[ start ]==> (^a.((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (^x.((x x)((^y.(^z.z)) x))) 3. ==[ beta ]==> (^x.((x x)(^z.z))) 4. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 147974/15858381. ------ 1. ==[ start ]==> (a ((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (a ((a a)((^x.(^y.y)) a))) 3. ==[ beta ]==> (a ((a a)(^y.y))) 4. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 147975/15868113. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(^b.a)) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(^x1.a)) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 147976/15868134. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a)) a) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a)) a) 3. ==[ beta ]==> (((a a)(^y.y)) a) 4. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 147977/15868140. ------ 1. ==[ start ]==> ((^a.a)((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.x)((a a)((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 147978/15868161. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(z (^x1.x1))))) 3. ==[ beta ]==> (a (^y.(^z.(z (^x1.x1))))) 4. ==[ alpha ]==> (a (^x.(^y.(y (^z.z))))) REDUCED to normal form. ------ 147979/15868230. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(a a))(^x1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 147980/15868392. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 147981/15868566. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a a)(^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 147982/15868980. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.((^y.(^z.z)) x))) 3. ==[ eta ]==> (((a a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 147983/15869085. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147984/15869754. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 147985/15870861. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((a a)(a a)))) REDUCED to normal form. ------ 147986/15871221. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.((y y)(y y)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.((y y)(y y)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 147987/15871299. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> ((((b a)((^z.z) a))((b a)((^z.z) a)))(^y.y)) 4. ==[ alpha ]==> ((((b a)((^x.x) a))((b a)((^y.y) a)))(^z.z)) 5. ==[ beta ]==> ((((b a) a)((b a)((^y.y) a)))(^z.z)) 6. ==[ alpha ]==> ((((b a) a)((b a)((^x.x) a)))(^y.y)) 7. ==[ beta ]==> ((((b a) a)((b a) a))(^y.y)) 8. ==[ alpha ]==> ((((b a) a)((b a) a))(^x.x)) REDUCED to normal form. ------ 147988/15872535. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 147989/15872604. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 147990/15873426. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 147991/15873495. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147992/15874809. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((((a a) a)((^y.y) a))(((a a) a)((^y.y) a)))((((a a) a)((^y.y) a))(((a a) a)((^y.y) a)))) 4. ==[ alpha ]==> (((((a a) a)((^x.x) a))(((a a) a)((^y.y) a)))((((a a) a)((^z.z) a))(((a a) a)((^x1.x1) a)))) 5. ==[ beta ]==> (((((a a) a) a)(((a a) a)((^y.y) a)))((((a a) a)((^z.z) a))(((a a) a)((^x1.x1) a)))) 6. ==[ alpha ]==> (((((a a) a) a)(((a a) a)((^x.x) a)))((((a a) a)((^y.y) a))(((a a) a)((^z.z) a)))) 7. ==[ beta ]==> (((((a a) a) a)(((a a) a) a))((((a a) a)((^y.y) a))(((a a) a)((^z.z) a)))) 8. ==[ alpha ]==> (((((a a) a) a)(((a a) a) a))((((a a) a)((^x.x) a))(((a a) a)((^y.y) a)))) 9. ==[ beta ]==> (((((a a) a) a)(((a a) a) a))((((a a) a) a)(((a a) a)((^y.y) a)))) 10. ==[ alpha ]==> (((((a a) a) a)(((a a) a) a))((((a a) a) a)(((a a) a)((^x.x) a)))) 11. ==[ beta ]==> (((((a a) a) a)(((a a) a) a))((((a a) a) a)(((a a) a) a))) REDUCED to normal form. ------ 147993/15875397. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 147994/15876342. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 147995/15876945. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 147996/15877050. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a a)(a (a a)))) 3. ==[ eta ]==> ((^y.(^z.z))((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 147997/15877548. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^c.c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.z)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.z)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.z)) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.z)) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.y)) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 147998/15877557. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 147999/15877629. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 148000/15877638. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 148001/15877692. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 148002/15877746. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 148003/15877800. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 148004/15877854. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148005/15877869. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))((^x1.x1) a)) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 148006/15877872. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(^b.a)) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.a)) REDUCED to normal form. ------ 148007/15877890. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(^a.a)) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 148008/15877902. ------ 1. ==[ start ]==> ((a a)((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a a)((a a)((^x.(^y.y)) a))) 3. ==[ beta ]==> ((a a)((a a)(^y.y))) 4. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 148009/15877920. ------ 1. ==[ start ]==> (((^a.a) a)(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)(a (^y.(y (^z.z))))) 3. ==[ beta ]==> (a (a (^y.(y (^z.z))))) 4. ==[ alpha ]==> (a (a (^x.(x (^y.y))))) REDUCED to normal form. ------ 148010/15877938. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.(^x1.x1)) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a)(^x1.x1))) 5. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.x1)) 6. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148011/15877965. ------ 1. ==[ start ]==> (((^a.a)(a a))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((b (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((b (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((b (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 148012/15877992. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(a a))(^z.a))) REDUCED to normal form. ------ 148013/15878001. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (b ((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 148014/15878028. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 148015/15878046. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148016/15878055. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 148017/15878073. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((b a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 148018/15878100. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.b))) REDUCED to normal form. ------ 148019/15878127. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(a a))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 148020/15878136. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 148021/15878154. ------ 1. ==[ start ]==> ((a (^b.a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 148022/15878190. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(b a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 5. ==[ beta ]==> ((^y.a)(b a)) 6. ==[ alpha ]==> ((^x.a)(b a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 148023/15878235. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(^z.z))) 3. ==[ beta ]==> ((^y.a)((a (a a))(^z.z))) 4. ==[ alpha ]==> ((^x.a)((a (a a))(^y.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 148024/15878271. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 148025/15878298. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(b (^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(b (^z.z)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 148026/15878325. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 148027/15878343. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.(^y1.y1)) a) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1)) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a) a)) 5. ==[ beta ]==> (((^y.(^z.z)) a) a) 6. ==[ alpha ]==> (((^x.(^y.y)) a) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 148028/15878568. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 148029/15878622. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 148030/15878649. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 148031/15878676. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 148032/15878739. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(a ((^x.(^y.y)) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (^y.y))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 148033/15878766. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b (^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)((b (^z.z))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((b (^y.y))(a a))) REDUCED to normal form. ------ 148034/15878793. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 148035/15878820. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a a))(b ((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a a))(b ((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(a a))(b a)) REDUCED to normal form. ------ 148036/15878847. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a (a a)))) REDUCED to normal form. ------ 148037/15879315. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 148038/15879369. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 148039/15879405. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(b a))) 5. ==[ beta ]==> (b ((^y.(^z.z))(b a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(b a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 148040/15879432. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 148041/15879450. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 148042/15879486. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 148043/15879513. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(b (^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 148044/15879531. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((b (^z.z)) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((b (^z.z)) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b (^z.z)) a)) 5. ==[ beta ]==> ((a ((^y.y) a))((b (^z.z)) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))((b (^y.y)) a)) 7. ==[ beta ]==> ((a a)((b (^y.y)) a)) 8. ==[ alpha ]==> ((a a)((b (^x.x)) a)) REDUCED to normal form. ------ 148045/15879594. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.a)) REDUCED to normal form. ------ 148046/15879963. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z) c)) 3. ==[ beta ]==> (b ((^z.z) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 148047/15880197. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a b))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a b))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 148048/15880224. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a (^y.y)) b)) REDUCED to normal form. ------ 148049/15880251. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a a)((a a)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((a a)(a a)))) REDUCED to normal form. ------ 148050/15880350. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 148051/15880395. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 148052/15880422. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 148053/15880476. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 7. ==[ beta ]==> (((a a) a)(^y.(a a))) 8. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 148054/15880557. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 148055/15880566. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 148056/15880593. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 148057/15880620. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 148058/15880638. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 148059/15880647. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 148060/15880701. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 148061/15880755. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 148062/15880782. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 148063/15880809. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 148064/15880953. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b ((^z.z) b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b ((^z.z) b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b ((^y.y) b))) 5. ==[ beta ]==> ((a (a a))(b ((^y.y) b))) 6. ==[ alpha ]==> ((a (a a))(b ((^x.x) b))) 7. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 148065/15880980. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a ((a a)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(a ((a a)(a a)))) REDUCED to normal form. ------ 148066/15881007. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(b (a a))) REDUCED to normal form. ------ 148067/15881034. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 148068/15881061. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((b a)((^y.y) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((b a) a)) REDUCED to normal form. ------ 148069/15881241. ------ 1. ==[ start ]==> (((a b) c)(d (^d.a))) 2. ==[ alpha ]==> (((a b) c)(d (^x.a))) REDUCED to normal form. ------ 148070/15881268. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) b)(c (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) b)(c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 148071/15881295. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.y))) REDUCED to normal form. ------ 148072/15881340. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.z))) 5. ==[ beta ]==> (((^y.y) b)(^z.z)) 6. ==[ alpha ]==> (((^x.x) b)(^y.y)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 148073/15881349. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 148074/15881376. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 148075/15881394. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((b a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((b a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((b a)(^x.a))) REDUCED to normal form. ------ 148076/15881430. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148077/15881457. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 148078/15881475. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a b)(^z.a))) 3. ==[ beta ]==> (b ((a b)(^z.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 148079/15881484. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 148080/15881538. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 148081/15881988. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> (b ((^z.z) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 148082/15882240. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 148083/15882267. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 148084/15882294. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a (^z.z))) 3. ==[ beta ]==> (((a a)(^y.a))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 148085/15882321. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 148086/15882366. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a)(^x1.x1))(^y1.a))) REDUCED to normal form. ------ 148087/15883131. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 148088/15883185. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 148089/15883230. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148090/15883257. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.x))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 148091/15883536. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148092/15883743. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^d.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 148093/15884022. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 148094/15884049. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 148095/15884067. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a b)(^y.a))) 3. ==[ beta ]==> (b ((a b)(^y.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 148096/15884076. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 148097/15884103. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 148098/15884130. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 148099/15884175. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1) a)(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148100/15884184. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.a)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 148101/15884211. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 148102/15884463. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(b (a a))) REDUCED to normal form. ------ 148103/15884517. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a)(a a))) REDUCED to normal form. ------ 148104/15884544. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a b)(a (^y.y)))) 3. ==[ beta ]==> ((b (a a))((a b)(a (^y.y)))) 4. ==[ alpha ]==> ((b (a a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 148105/15884571. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> ((a ((a a)(a a)))(((a a) a) a)) REDUCED to normal form. ------ 148106/15884742. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 148107/15884850. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148108/15884886. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)((a a) a))) 3. ==[ beta ]==> ((b b)((^y.a)((a a) a))) 4. ==[ alpha ]==> ((b b)((^x.a)((a a) a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 148109/15884913. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 148110/15884931. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 148111/15884958. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((^y.y)(a a)) a) 6. ==[ alpha ]==> (((^x.x)(a a)) a) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 148112/15884967. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 148113/15884994. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 148114/15885012. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((a a) a) c)) 3. ==[ beta ]==> (((b a)(b a))(((a a) a) c)) REDUCED to normal form. ------ 148115/15885075. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 148116/15885102. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 148117/15885156. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 148118/15885201. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148119/15885300. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)((a a)(a a)))(a (^y.y))) 6. ==[ alpha ]==> (((a a)((a a)(a a)))(a (^x.x))) REDUCED to normal form. ------ 148120/15885327. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))((a a) a))) REDUCED to normal form. ------ 148121/15885354. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a a)(a b))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a a)(a b))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(a b))) REDUCED to normal form. ------ 148122/15885822. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 148123/15885966. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a)(a a))) 3. ==[ beta ]==> ((b c)((^y.a)(a a))) 4. ==[ alpha ]==> ((b c)((^x.a)(a a))) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 148124/15885993. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 148125/15886038. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((b (^x.x))(a (^z.(z z)))) 6. ==[ alpha ]==> ((b (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 148126/15886065. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 148127/15886101. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 148128/15886119. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((a a) a) a)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((a a) a) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((a a) a) a)) REDUCED to normal form. ------ 148129/15886209. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 148130/15886236. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 148131/15886308. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148132/15886704. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(a (^z.z))) REDUCED to normal form. ------ 148133/15886731. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((a (a a))(a a))) 3. ==[ beta ]==> ((b ((^y.y) a))((a (a a))(a a))) 4. ==[ alpha ]==> ((b ((^x.x) a))((a (a a))(a a))) 5. ==[ beta ]==> ((b a)((a (a a))(a a))) REDUCED to normal form. ------ 148134/15886758. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 148135/15886812. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 148136/15886902. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 7. ==[ beta ]==> ((a (^y.y))(^z.a)) 8. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 148137/15886983. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (b (((^x1.x1) a) b)) 4. ==[ alpha ]==> (b (((^x.x) a) b)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 148138/15887091. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148139/15887208. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 148140/15887226. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((a a)(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((a a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)(^z.a))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.a))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 148141/15887253. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) a)) 5. ==[ beta ]==> (((^y.y) a) a) 6. ==[ alpha ]==> (((^x.x) a) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 148142/15887307. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a a) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a a) c)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a a) c)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a a) c)) 5. ==[ beta ]==> ((b ((^y.y) b))((a a) c)) 6. ==[ alpha ]==> ((b ((^x.x) b))((a a) c)) 7. ==[ beta ]==> ((b b)((a a) c)) REDUCED to normal form. ------ 148143/15887316. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 148144/15887388. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.z) c)) 3. ==[ beta ]==> (b ((^z.z) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 148145/15887397. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 148146/15887424. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 148147/15887451. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(a (^z.z))) REDUCED to normal form. ------ 148148/15887496. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((a a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148149/15887505. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.z1))) REDUCED to normal form. ------ 148150/15887532. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(b (^z.z))) 3. ==[ beta ]==> ((b (^y.(y y)))(b (^z.z))) 4. ==[ alpha ]==> ((b (^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 148151/15887559. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 148152/15887613. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148153/15887631. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((^a.a) a)) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((^z.z) a)) 3. ==[ beta ]==> ((a (^x.(x (^y.y)))) a) REDUCED to normal form. ------ 148154/15887649. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(a a)) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(a a)) 3. ==[ beta ]==> (((a a)(^y.y))(a a)) 4. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 148155/15887688. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(z (^x1.x1))))) 3. ==[ beta ]==> ((^y.(^z.(z (^x1.x1))))(^y.(^z.(z (^x1.x1))))) 4. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(^x1.(^y1.(y1 (^z1.z1))))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 148156/15897390. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(^x1.(x1 x1))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 148157/15897411. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a)) b) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a)) b) 3. ==[ beta ]==> (((a a)(^y.y)) b) 4. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 148158/15897435. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148159/15897453. ------ 1. ==[ start ]==> ((^a.(a a))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))(a (^y.(y (^z.z))))) 3. ==[ beta ]==> ((a (^y.(y (^z.z))))(a (^y.(y (^z.z))))) 4. ==[ alpha ]==> ((a (^x.(x (^y.y))))(a (^z.(z (^x1.x1))))) REDUCED to normal form. ------ 148160/15897456. ------ 1. ==[ start ]==> ((a (a a))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> ((a (a a))(^x.(^y.(y (^z.z))))) REDUCED to normal form. ------ 148161/15897561. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((^z.z)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.y)) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 148162/15897750. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148163/15898245. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (b (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148164/15899703. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))(b a))) 3. ==[ beta ]==> (^y.(((a (a a))(b a))((a (a a))(b a)))) 4. ==[ alpha ]==> (^x.(((a (a a))(b a))((a (a a))(b a)))) REDUCED to normal form. ------ 148165/15900147. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 148166/15900507. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 148167/15901182. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 148168/15901341. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.b)(^z.a))) 3. ==[ eta ]==> (b ((^y.b)(^z.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 148169/15901515. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (b (^z.((^x1.x1) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 148170/15902127. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 148171/15902991. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(y a))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(y a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(x a))) REDUCED to normal form. ------ 148172/15903096. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 148173/15903270. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(b z))) 3. ==[ eta ]==> (((^x.b)(^y.a)) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 148174/15903774. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 148175/15904908. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 148176/15905097. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(a x1))) 3. ==[ eta ]==> (((a (^x.(^y.y)))((^z.z) a)) a) 4. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 148177/15905175. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 148178/15905628. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 148179/15905961. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 148180/15906096. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 148181/15906231. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 148182/15906336. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(b (^x1.(x1 x1)))) 3. ==[ eta ]==> ((^y.(^z.z))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148183/15906843. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^c.c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 148184/15906915. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 148185/15906924. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^b.c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 148186/15906978. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 148187/15907032. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^c.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.b)) REDUCED to normal form. ------ 148188/15907086. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^b.b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 148189/15907155. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(a (a a))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(a (a a))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 148190/15907158. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(^a.(a a))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.(z z))) REDUCED to normal form. ------ 148191/15907176. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 148192/15907206. ------ 1. ==[ start ]==> ((a (^a.a))((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.x))((a a)((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 148193/15907224. ------ 1. ==[ start ]==> ((a (a a))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> ((a (a a))(a (^x.(x (^y.y))))) REDUCED to normal form. ------ 148194/15907242. ------ 1. ==[ start ]==> (((a a) a)(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((a a) a)(((^x.(^y.y)) a)(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 148195/15907269. ------ 1. ==[ start ]==> (((a a)(^a.a))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((b (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 148196/15907296. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)(((a a)(a a))(^y.a))) 3. ==[ beta ]==> (b (((a a)(a a))(^y.a))) 4. ==[ alpha ]==> (b (((a a)(a a))(^x.a))) REDUCED to normal form. ------ 148197/15907323. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) b)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) b)(^y.(y y))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 148198/15907332. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.b)(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (a a))) REDUCED to normal form. ------ 148199/15907350. ------ 1. ==[ start ]==> (((a a) b)((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 148200/15907377. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((b a)(^y.a))) REDUCED to normal form. ------ 148201/15907404. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.b))) REDUCED to normal form. ------ 148202/15907431. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(a a)))) REDUCED to normal form. ------ 148203/15907467. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 148204/15907521. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 148205/15907566. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(a a)))) REDUCED to normal form. ------ 148206/15907647. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.(^y1.y1)) a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 148207/15907674. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((b (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((b (^z.z)) b)) 3. ==[ beta ]==> ((a (^y.y))((b (^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.x))((b (^y.y)) b)) REDUCED to normal form. ------ 148208/15907737. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(z z))) REDUCED to normal form. ------ 148209/15907764. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 148210/15908016. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (b (^z.z)))) REDUCED to normal form. ------ 148211/15908106. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a)) c)) 3. ==[ beta ]==> ((b b)((^y.(a a)) c)) 4. ==[ alpha ]==> ((b b)((^x.(a a)) c)) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 148212/15908151. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148213/15908178. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((b a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 148214/15908232. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(a b))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(a b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 7. ==[ beta ]==> (((^y.y)(a a))(a b)) 8. ==[ alpha ]==> (((^x.x)(a a))(a b)) 9. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 148215/15908286. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 148216/15908313. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 7. ==[ beta ]==> ((^y.y)(b a)) 8. ==[ alpha ]==> ((^x.x)(b a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 148217/15908367. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)((^x1.x1) b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a ((^x1.x1) b))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((^z.z) b))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a b)) REDUCED to normal form. ------ 148218/15908520. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z) a)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y) a)) 5. ==[ beta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 148219/15908547. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (a a)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 148220/15908727. ------ 1. ==[ start ]==> ((((a a) a) a)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 148221/15908781. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) REDUCED to normal form. ------ 148222/15908835. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((b (^y.y)) a)) REDUCED to normal form. ------ 148223/15908862. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a)) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148224/15908889. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) b) c)) 3. ==[ beta ]==> ((((a a) a)(^x.x))(b c)) REDUCED to normal form. ------ 148225/15908925. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 148226/15909006. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a))(^z.b))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.b))) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 148227/15909033. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 148228/15909177. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b ((a a)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b ((a a)(a a)))) IRREDUCIBLE: cycle. ------ 148229/15909240. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a)) b)) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 148230/15909258. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (b (((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> (b (b (a (^y.y)))) 6. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 148231/15909267. ------ 1. ==[ start ]==> (((a b) a)((^b.b) c)) 2. ==[ alpha ]==> (((a b) a)((^x.x) c)) 3. ==[ beta ]==> (((a b) a) c) REDUCED to normal form. ------ 148232/15909285. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> ((a b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 148233/15909312. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((b a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (a a)))) 5. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 148234/15909366. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)((a a) a))) REDUCED to normal form. ------ 148235/15909447. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 148236/15909474. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(b a))) REDUCED to normal form. ------ 148237/15909546. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 148238/15909627. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 148239/15909645. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 148240/15909654. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 148241/15909861. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) b)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b) b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 148242/15909888. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 148243/15909915. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 148244/15909942. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a)(a a)) a)) REDUCED to normal form. ------ 148245/15909996. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1))) c)) REDUCED to normal form. ------ 148246/15910167. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 148247/15910221. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 148248/15910248. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 148249/15910293. ------ 1. ==[ start ]==> (((^a.b) c)((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.b) c)((^y.(a a)) a)) 3. ==[ beta ]==> (b ((^y.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 148250/15910392. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 148251/15910527. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 148252/15910608. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)((^z.z) b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y) b))) 5. ==[ beta ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 148253/15910644. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (^z.z))) REDUCED to normal form. ------ 148254/15910671. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 148255/15910725. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148256/15910752. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 148257/15910779. ------ 1. ==[ start ]==> (((a b)(^b.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 148258/15910806. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.b))) REDUCED to normal form. ------ 148259/15910833. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(a a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 148260/15910869. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 148261/15910896. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(b a))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 148262/15910923. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 148263/15910950. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)((^y.y) b))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.y) b)) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x) b)) 5. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 148264/15910977. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148265/15911004. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 148266/15911085. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 148267/15911112. ------ 1. ==[ start ]==> ((a (b a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a (b a))((^x.b)(^y.a))) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 148268/15911283. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a ((^z.z) b))) 3. ==[ beta ]==> (b (a ((^z.z) b))) 4. ==[ alpha ]==> (b (a ((^x.x) b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 148269/15911391. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((b a)(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> ((b a)((a a)(a (a a)))) REDUCED to normal form. ------ 148270/15911418. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 148271/15911472. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)(a b))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)(a b))) 7. ==[ beta ]==> (((a b)(a b))(a b)) REDUCED to normal form. ------ 148272/15911553. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y))(b a))) 3. ==[ beta ]==> (b ((a (^y.y))(b a))) 4. ==[ alpha ]==> (b ((a (^x.x))(b a))) REDUCED to normal form. ------ 148273/15911616. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) REDUCED to normal form. ------ 148274/15911679. ------ 1. ==[ start ]==> (((a a)(b a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 148275/15911706. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 148276/15911733. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.b)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 148277/15911760. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 148278/15911787. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a b))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a b))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 148279/15911814. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> ((((a a) a)(^x.x))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 148280/15911841. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 148281/15911868. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(b a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(b a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(b a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 148282/15911895. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 148283/15911940. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((b a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((b a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((b a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148284/15912228. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((b a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148285/15912255. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 148286/15912282. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 148287/15912336. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(((a a) a)((^y.y)(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))(((a a) a)((^x.x)(^y.y)))) 9. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.y))) 10. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 148288/15912417. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (b (((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (b (a ((^y.y)(a a)))) 6. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 148289/15912534. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 148290/15912570. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 148291/15912597. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 148292/15912651. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 148293/15912678. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(z z))(a b))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(a b))) 5. ==[ beta ]==> ((a b)((^y.(y y))(a b))) 6. ==[ alpha ]==> ((a b)((^x.(x x))(a b))) 7. ==[ beta ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 148294/15912705. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 148295/15912732. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 148296/15912759. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.y)(b a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(b a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(b a))) 5. ==[ beta ]==> (((a a)(a (a a)))(b a)) REDUCED to normal form. ------ 148297/15912831. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1)(a a)) c)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148298/15912840. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 148299/15912867. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((a b)((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.(y y)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 148300/15913038. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (b a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 148301/15913146. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148302/15913200. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))((a a) a))) 5. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 148303/15913227. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(a b)) 6. ==[ alpha ]==> (((^x.x) a)(a b)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 148304/15913281. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 148305/15913317. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(a a))(((a a)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(((a a)(^y.y))(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 148306/15913344. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 148307/15913371. ------ 1. ==[ start ]==> (((a b)(^c.a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 148308/15913398. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 148309/15913425. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 148310/15913479. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^z1.b))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.b))) REDUCED to normal form. ------ 148311/15913506. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 148312/15913542. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) b)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) b)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) b)((a a)(^x.x))) REDUCED to normal form. ------ 148313/15913596. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 148314/15913623. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) b) REDUCED to normal form. ------ 148315/15913677. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 148316/15913704. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 148317/15913731. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(^x1.b))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.b))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.b))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 148318/15913758. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 148319/15913902. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 148320/15914181. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((b b)(a (^y.a))) 6. ==[ alpha ]==> ((b b)(a (^x.a))) REDUCED to normal form. ------ 148321/15914208. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 148322/15914262. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 148323/15914289. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a b) b)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a b) b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b) b)) REDUCED to normal form. ------ 148324/15914496. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a b)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148325/15914505. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.b) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) b) REDUCED to normal form. ------ 148326/15914532. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a) c)) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 148327/15914622. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c (^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(c (^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.a))) REDUCED to normal form. ------ 148328/15914649. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b (^x1.b))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b (^x1.b))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.b))) REDUCED to normal form. ------ 148329/15914676. ------ 1. ==[ start ]==> (((a (a a))(b a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(a (^x.(a a)))) REDUCED to normal form. ------ 148330/15914703. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.b)(a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b)(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.b)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a a))) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 148331/15914757. ------ 1. ==[ start ]==> (((a b)(a b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 148332/15914784. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (((a a)((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 148333/15914811. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 148334/15914865. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(a b))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a b)) REDUCED to normal form. ------ 148335/15914892. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.b)(^z.z))) 5. ==[ beta ]==> ((b (a (^x.x))) b) REDUCED to normal form. ------ 148336/15914946. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 148337/15915036. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b ((a a) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b ((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b ((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(b ((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b ((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148338/15915117. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 148339/15915225. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148340/15915261. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(((a a) a)(^y.y))) 3. ==[ beta ]==> ((b c)(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((b c)(((a a) a)(^x.x))) REDUCED to normal form. ------ 148341/15915288. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a)) b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a)(a a)) b)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 148342/15915396. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(^z.a))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 148343/15915423. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((a a) a) a)) REDUCED to normal form. ------ 148344/15915603. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148345/15915612. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 148346/15915639. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(z z)) c)) 3. ==[ beta ]==> ((b (^y.a))((^z.(z z)) c)) 4. ==[ alpha ]==> ((b (^x.a))((^y.(y y)) c)) 5. ==[ beta ]==> ((b (^x.a))(c c)) REDUCED to normal form. ------ 148347/15915729. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a (^c.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 148348/15915756. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 148349/15915783. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((a b)((^y.(y y))(a (^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> ((a b)((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> ((a b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 148350/15915810. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 148351/15915837. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 148352/15915864. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 148353/15915891. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 148354/15915918. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a b))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a b))(^y.y)) 8. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 148355/15915945. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a)) a) REDUCED to normal form. ------ 148356/15915999. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 148357/15916107. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(b (^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 148358/15916197. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(c c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(c c)) 3. ==[ beta ]==> (((^y.y)(^y.y))(c c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(c c)) 5. ==[ beta ]==> ((^y.y)(c c)) 6. ==[ alpha ]==> ((^x.x)(c c)) 7. ==[ beta ]==> (c c) REDUCED to normal form. ------ 148359/15916278. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(d (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(d (a a))) 3. ==[ beta ]==> (b (d (a a))) REDUCED to normal form. ------ 148360/15916386. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1) a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148361/15916503. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 148362/15916521. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(b c)) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(b c)) 3. ==[ beta ]==> (((^y.(^z.z)) a)(b c)) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(b c)) 5. ==[ beta ]==> ((^y.y)(b c)) 6. ==[ alpha ]==> ((^x.x)(b c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 148363/15916602. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(b (a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(b (a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(b (a (^z.z)))) 5. ==[ beta ]==> ((b ((^y.y) b))(b (a (^z.z)))) 6. ==[ alpha ]==> ((b ((^x.x) b))(b (a (^y.y)))) 7. ==[ beta ]==> ((b b)(b (a (^y.y)))) 8. ==[ alpha ]==> ((b b)(b (a (^x.x)))) REDUCED to normal form. ------ 148364/15916611. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((a a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a) c)) REDUCED to normal form. ------ 148365/15916638. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a) a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a) a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148366/15916683. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> (b ((a a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 148367/15916692. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) c) REDUCED to normal form. ------ 148368/15916719. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 148369/15916746. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 148370/15916791. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(b (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148371/15916800. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((a a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a) b)) REDUCED to normal form. ------ 148372/15916827. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((b (^y.(y y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((b (^x.(x x)))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((b (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((b (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 148373/15916854. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((^a.a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((^y.y) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.a)) b) REDUCED to normal form. ------ 148374/15916908. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))((a a) a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))((a a) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 5. ==[ beta ]==> ((^y.y)((a a) a)) 6. ==[ alpha ]==> ((^x.x)((a a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 148375/15916926. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(a (a a))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(a (a a))) REDUCED to normal form. ------ 148376/15916944. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(a (^a.a))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(a (^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 148377/15926694. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(^x1.(^y1.y1))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 148378/15926778. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(x1 (^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 (^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z (^x1.x1))))) 5. ==[ beta ]==> (^y.(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> (^x.(^y.(y (^z.z)))) REDUCED to normal form. ------ 148379/15926793. ------ 1. ==[ start ]==> ((^a.b)(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> ((^x.b)(((^y.(^z.z)) a)(^x1.x1))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 148380/15926874. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^z.z) b)(^x1.(x1 x1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.z)) 5. ==[ beta ]==> ((b (^y.(y y)))(^z.z)) 6. ==[ alpha ]==> ((b (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 148381/15926991. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.((^z.(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (^x.((^y.(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 148382/15927063. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ eta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 148383/15927183. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.((^y1.(^z1.z1)) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.(^z1.z1)) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (^y.((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (^x.((^y.(^z.z)) a)) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148384/15928116. ------ 1. ==[ start ]==> ((^a.((a a) a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((b a)(^y.(^z.z)))((b a)(^y.(^z.z))))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((b a)(^x.(^y.y)))((b a)(^z.(^x1.x1))))((b a)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 148385/15928371. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(z (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(y (^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(y (^z.z)))) 8. ==[ alpha ]==> ((a a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 148386/15928449. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 148387/15929223. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((b a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(((b a)(^z.(z z)))((b a)(^z.(z z))))) 4. ==[ alpha ]==> ((^x.x)(((b a)(^y.(y y)))((b a)(^z.(z z))))) 5. ==[ beta ]==> (((b a)(^y.(y y)))((b a)(^z.(z z)))) 6. ==[ alpha ]==> (((b a)(^x.(x x)))((b a)(^y.(y y)))) REDUCED to normal form. ------ 148388/15929478. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 5. ==[ beta ]==> (^y.((a a)(a a))) 6. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 148389/15929838. ------ 1. ==[ start ]==> (((^a.b) c)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.((y y)(y y)))) 3. ==[ beta ]==> (b (^y.((y y)(y y)))) 4. ==[ alpha ]==> (b (^x.((x x)(x x)))) REDUCED to normal form. ------ 148390/15930828. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 148391/15931134. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 148392/15931491. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((b a) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((b a) b)) 3. ==[ beta ]==> (((b a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((b a) b)(^x.(^y.y))) REDUCED to normal form. ------ 148393/15932025. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(b a))) REDUCED to normal form. ------ 148394/15932094. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148395/15932583. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(^d.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 148396/15933087. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 148397/15933408. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.b) c)) 3. ==[ beta ]==> ((((^y.b) c)((^y.b) c))(((^y.b) c)((^y.b) c))) 4. ==[ alpha ]==> ((((^x.b) c)((^y.b) c))(((^z.b) c)((^x1.b) c))) 5. ==[ beta ]==> ((b ((^y.b) c))(((^z.b) c)((^x1.b) c))) 6. ==[ alpha ]==> ((b ((^x.b) c))(((^y.b) c)((^z.b) c))) 7. ==[ beta ]==> ((b b)(((^y.b) c)((^z.b) c))) 8. ==[ alpha ]==> ((b b)(((^x.b) c)((^y.b) c))) 9. ==[ beta ]==> ((b b)(b ((^y.b) c))) 10. ==[ alpha ]==> ((b b)(b ((^x.b) c))) 11. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 148398/15933582. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 148399/15933798. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 148400/15934488. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 148401/15934959. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.((a a) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.((a a) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.((a a) a))) REDUCED to normal form. ------ 148402/15936093. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 148403/15936183. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.((^x2.x2) z1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^x2.x2)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.z1)) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.z1)) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.y1)) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148404/15936237. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 148405/15936372. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 148406/15936399. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^c.(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.(a a))) REDUCED to normal form. ------ 148407/15936453. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(^a.b)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(^x1.b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 148408/15936468. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 148409/15936471. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 148410/15936489. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(^b.a)) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(^z.a)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 148411/15936537. ------ 1. ==[ start ]==> (((^a.a) a)((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x) a)((a a)((^y.(^z.z)) a))) 3. ==[ beta ]==> (a ((a a)((^y.(^z.z)) a))) 4. ==[ alpha ]==> (a ((a a)((^x.(^y.y)) a))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 148412/15936555. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(z (^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(a (^z.(z (^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y (^z.z))))) 5. ==[ beta ]==> (a (^y.(y (^z.z)))) 6. ==[ alpha ]==> (a (^x.(x (^y.y)))) REDUCED to normal form. ------ 148413/15936573. ------ 1. ==[ start ]==> ((a b)(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> ((a b)(((^x.(^y.y)) a)(^z.z))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 148414/15936627. ------ 1. ==[ start ]==> (((a a)(a a))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))(((a a)(a a))(^x.a))) REDUCED to normal form. ------ 148415/15936654. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b)(^z.(z z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(b (^z.(z z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 148416/15936663. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148417/15936690. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.(^z1.z1)))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148418/15936771. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 148419/15936789. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 148420/15936843. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 148421/15936852. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 148422/15936879. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) b))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) b)) 7. ==[ beta ]==> (((^y.y) b)((^y.y) b)) 8. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 9. ==[ beta ]==> (b ((^y.y) b)) 10. ==[ alpha ]==> (b ((^x.x) b)) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 148423/15936933. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(b (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(b (^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(b (^z.z)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 148424/15936960. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)((^y1.(^z1.z1)) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.(^z1.z1)) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 7. ==[ beta ]==> ((^y.(^z.z)) a) 8. ==[ alpha ]==> ((^x.(^y.y)) a) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148425/15937149. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148426/15937203. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 148427/15937257. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148428/15937311. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 148429/15937428. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((b b)(((a a)(a a))(a (^y.y)))) 4. ==[ alpha ]==> ((b b)(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 148430/15937563. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a))(a b))) 3. ==[ beta ]==> (((a (a a)) b)((a a)(a b))) REDUCED to normal form. ------ 148431/15937590. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> (a ((a b)((^y.y)(a a)))) 6. ==[ alpha ]==> (a ((a b)((^x.x)(a a)))) 7. ==[ beta ]==> (a ((a b)(a a))) REDUCED to normal form. ------ 148432/15937617. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)((a a)(^z.z)))) REDUCED to normal form. ------ 148433/15937644. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(b a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b a)) REDUCED to normal form. ------ 148434/15937671. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.a))((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.a))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 148435/15937698. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((^z.z) b))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 148436/15937725. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 7. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 148437/15937788. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 148438/15937815. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(((a a)(a a))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 148439/15937842. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(b (^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 148440/15937869. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 148441/15937896. ------ 1. ==[ start ]==> ((a ((a a) a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 148442/15937932. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148443/15937986. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)((^x1.x1)(a a)))) 5. ==[ beta ]==> (a ((^z.b)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (a ((^x.b)((^y.y)(a a)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 148444/15938067. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(a (^y.(^z.z))))) 6. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 148445/15938094. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.a)((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 148446/15938148. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(b (^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(b (^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(b (^z.z)))) 7. ==[ beta ]==> ((a a)((^y.y)(b (^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.x)(b (^y.y)))) 9. ==[ beta ]==> ((a a)(b (^y.y))) 10. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 148447/15938229. ------ 1. ==[ start ]==> ((a (^a.b))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (^x.b))(^z.a)) 4. ==[ alpha ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 148448/15938562. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(a a))(a a))) REDUCED to normal form. ------ 148449/15938589. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> (((a b) a)(b (a (^y.y)))) 4. ==[ alpha ]==> (((a b) a)(b (a (^x.x)))) REDUCED to normal form. ------ 148450/15938616. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.b))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 148451/15938670. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 148452/15938697. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)((a a) a))) REDUCED to normal form. ------ 148453/15938724. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a b)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a b)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(a b))) 5. ==[ beta ]==> ((^y.a)((a b)(a b))) 6. ==[ alpha ]==> ((^x.a)((a b)(a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 148454/15938751. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 148455/15938778. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a b)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 148456/15938922. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(a a))(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(((a a)(a a))(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)(((a a)(a a))(^y.y))) 7. ==[ beta ]==> (a (((a a)(a a))(^y.y))) 8. ==[ alpha ]==> (a (((a a)(a a))(^x.x))) REDUCED to normal form. ------ 148457/15938949. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 148458/15938976. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 148459/15939003. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((b a)(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))((b a)(^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))((b a)(^x.(x x)))) REDUCED to normal form. ------ 148460/15939039. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148461/15939093. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(a b))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a b))) 7. ==[ beta ]==> ((^y.b)(a b)) 8. ==[ alpha ]==> ((^x.b)(a b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 148462/15939174. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> (b ((^x.(x x))(b a))) 5. ==[ beta ]==> (b ((b a)(b a))) REDUCED to normal form. ------ 148463/15939228. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) b))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 148464/15939255. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)(a a))) 6. ==[ alpha ]==> ((^x.x)((a a)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 148465/15939309. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 13. ==[ beta ]==> (^y.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148466/15939390. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 148467/15939615. ------ 1. ==[ start ]==> (((^a.b) c)(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(a ((a a)(a a)))) 3. ==[ beta ]==> (b (a ((a a)(a a)))) REDUCED to normal form. ------ 148468/15939624. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 148469/15939651. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.y) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.y) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.x) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 148470/15939858. ------ 1. ==[ start ]==> (((a b) c)((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 148471/15939885. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)(b a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)(b a))) 5. ==[ beta ]==> (((a a) b)(a (b a))) REDUCED to normal form. ------ 148472/15939912. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 148473/15939930. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 148474/15940011. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 148475/15940092. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 148476/15940245. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a b))((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 148477/15940272. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 148478/15940299. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) b) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) b) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) b) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b) a)) 7. ==[ beta ]==> ((^y.y)(((^z.z) b) a)) 8. ==[ alpha ]==> ((^x.x)(((^y.y) b) a)) 9. ==[ beta ]==> (((^y.y) b) a) 10. ==[ alpha ]==> (((^x.x) b) a) 11. ==[ beta ]==> (b a) REDUCED to normal form. ------ 148479/15940326. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 148480/15940353. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((b a) c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((b a) c)) 3. ==[ beta ]==> (((a b) a)((b a) c)) REDUCED to normal form. ------ 148481/15940524. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 148482/15940605. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 148483/15940668. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((b a)(a (^y.y)))) REDUCED to normal form. ------ 148484/15940776. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 148485/15940803. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)(a b))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(a b))) 5. ==[ beta ]==> (((a (a a))(^x.b))(a b)) REDUCED to normal form. ------ 148486/15940857. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 148487/15940875. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c (^d.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 148488/15940884. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(b a))) REDUCED to normal form. ------ 148489/15940911. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 148490/15941001. ------ 1. ==[ start ]==> (((a a)(b a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 148491/15941028. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 148492/15941055. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 148493/15941082. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((a a) a)(^x.a))) REDUCED to normal form. ------ 148494/15941109. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.b))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.b))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.b))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.b))) 9. ==[ beta ]==> (((a a) a)(^y.b)) 10. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 148495/15941136. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 148496/15941163. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 148497/15941217. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 148498/15941271. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((b a) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((b a) b)) REDUCED to normal form. ------ 148499/15941361. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 148500/15941442. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (b ((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 148501/15941559. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((b a)(a a))) REDUCED to normal form. ------ 148502/15941586. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a)(^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 148503/15941667. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 148504/15941694. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))((a a) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 148505/15941748. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 148506/15941775. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 148507/15941802. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(b a))) REDUCED to normal form. ------ 148508/15941874. ------ 1. ==[ start ]==> ((a (^b.b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 148509/15941892. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(^z.a))) REDUCED to normal form. ------ 148510/15941919. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a b)(^y.(y y)))) REDUCED to normal form. ------ 148511/15941946. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 148512/15942000. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (a a))(^z.b))) 3. ==[ beta ]==> (((^y.y)(a b))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (a a))(^y.b))) 5. ==[ beta ]==> ((a b)((a (a a))(^y.b))) 6. ==[ alpha ]==> ((a b)((a (a a))(^x.b))) REDUCED to normal form. ------ 148513/15942027. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.(a a)))) REDUCED to normal form. ------ 148514/15942054. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 148515/15942108. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((b a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((b a) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((b a) a)) REDUCED to normal form. ------ 148516/15942198. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(^z.(z z))) 6. ==[ alpha ]==> ((^x.b)(^y.(y y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 148517/15942360. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(^d.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b ((^z.z)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 148518/15942477. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 148519/15942504. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((b a)(^y.y)) 10. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 148520/15942531. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((a a) a))) REDUCED to normal form. ------ 148521/15942558. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (a b))) REDUCED to normal form. ------ 148522/15942603. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 148523/15942684. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 148524/15942792. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(y1 y1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148525/15942864. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 148526/15942891. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((a a)(^x1.x1)) a)) REDUCED to normal form. ------ 148527/15942918. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((a (b a))(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((a (b a))((a a) b)) REDUCED to normal form. ------ 148528/15942945. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a b) c)) REDUCED to normal form. ------ 148529/15943161. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(a a)) b)) 3. ==[ beta ]==> ((b (a a))((^y.(a a)) b)) 4. ==[ alpha ]==> ((b (a a))((^x.(a a)) b)) 5. ==[ beta ]==> ((b (a a))(a a)) REDUCED to normal form. ------ 148530/15943188. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.b) c)) 3. ==[ beta ]==> ((a ((a a)(a a))) b) REDUCED to normal form. ------ 148531/15943359. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 148532/15943467. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148533/15943548. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 148534/15943575. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 148535/15943629. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((b a)(b a)) b) REDUCED to normal form. ------ 148536/15943710. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 148537/15943773. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (a b))) REDUCED to normal form. ------ 148538/15943827. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a b)(a a))) REDUCED to normal form. ------ 148539/15943854. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((a a) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 148540/15943881. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.z) a)) 6. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y) a)) 7. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 148541/15944025. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b)(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 148542/15944052. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 148543/15944079. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a b)(a b))(^y.a)) 6. ==[ alpha ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 148544/15944106. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a)((a a) a))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 148545/15944133. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 148546/15944187. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.b))) REDUCED to normal form. ------ 148547/15944214. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a b) a)) 3. ==[ beta ]==> ((b (a (^y.y)))((a b) a)) 4. ==[ alpha ]==> ((b (a (^x.x)))((a b) a)) REDUCED to normal form. ------ 148548/15944241. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((a a) a) b)) REDUCED to normal form. ------ 148549/15944268. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((a (b (^x.x)))((^z.z) c)) 4. ==[ alpha ]==> ((a (b (^x.x)))((^y.y) c)) 5. ==[ beta ]==> ((a (b (^x.x))) c) REDUCED to normal form. ------ 148550/15944547. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(b (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148551/15944655. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((b (^x.x))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((b (^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> ((b (^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 148552/15944682. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 148553/15944736. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)((a a) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a) a)) REDUCED to normal form. ------ 148554/15944817. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 148555/15944853. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(c (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.b))(c (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))(c (a (a a)))) REDUCED to normal form. ------ 148556/15944934. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a a)) REDUCED to normal form. ------ 148557/15944961. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((b (^y.a))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.a))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 148558/15944988. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 148559/15945078. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 148560/15945105. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) b))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)((a (a a))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 148561/15945132. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(a (^x1.a))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a (^z.a))) REDUCED to normal form. ------ 148562/15945159. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(b a))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b a)((a (^y.y))(^z.(z z)))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 148563/15945186. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 148564/15945213. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a b)(a a))(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (((a b)(a a))((^y.y) a)) 6. ==[ alpha ]==> (((a b)(a a))((^x.x) a)) 7. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 148565/15945240. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a (a a)) b)) 3. ==[ beta ]==> (((a a)(a b))((a (a a)) b)) REDUCED to normal form. ------ 148566/15945348. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((b a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((b a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 148567/15945375. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(b b)) REDUCED to normal form. ------ 148568/15945519. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 7. ==[ beta ]==> ((^y.a)(a (^z.z))) 8. ==[ alpha ]==> ((^x.a)(a (^y.y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 148569/15945600. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 5. ==[ beta ]==> (b ((^y.y)(^y.y))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 148570/15945843. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148571/15945870. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 148572/15945924. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((b b)(^y.y)) 10. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 148573/15945933. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 148574/15945960. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(a ((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(a ((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a ((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a ((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((^x1.x1) a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148575/15946005. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 148576/15946014. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 148577/15946041. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(c a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(c a)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(c a)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(c a)) REDUCED to normal form. ------ 148578/15946068. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(b b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(b b)) REDUCED to normal form. ------ 148579/15946113. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))(^y2.y2))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(^y2.y2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148580/15946122. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (a a))) REDUCED to normal form. ------ 148581/15946149. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(a (a (^z.z)))) 3. ==[ beta ]==> ((b (^y.(y y)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.(x x)))(a (a (^y.y)))) REDUCED to normal form. ------ 148582/15946176. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((a a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((a a)(a a))) REDUCED to normal form. ------ 148583/15946230. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(a b)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(a b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 148584/15946248. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(x (^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.z)) REDUCED to normal form. ------ 148585/15946266. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))((^a.a) a)) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((^z.z) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 148586/15946292. ------ 1. ==[ start ]==> (^a.((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (^x.((x (^y.y))(b (^z.z)))) REDUCED to normal form. ------ 148587/15946293. ------ 1. ==[ start ]==> (a ((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (a ((a (^x.x))(b (^y.y)))) REDUCED to normal form. ------ 148588/15956073. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a))) a) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y))) a) REDUCED to normal form. ------ 148589/15956079. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a (^y.y))(b (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 148590/15956106. ------ 1. ==[ start ]==> ((^a.(a a))((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(x x))((a a)((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a)((^y.(^z.z)) a))((a a)((^y.(^z.z)) a))) 4. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((a a)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)((^z.(^x1.x1)) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.(^z.z)) a))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 148591/15956127. ------ 1. ==[ start ]==> (((a a) a)(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((a a) a)(^x.(^y.(y (^z.z))))) REDUCED to normal form. ------ 148592/15956169. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148593/15956331. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(a a))(^x1.(a a)))) 3. ==[ beta ]==> (^y.(((^z.z)(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (^x.(((^y.y)(a a))(^z.(a a)))) 5. ==[ beta ]==> (^x.((a a)(^z.(a a)))) 6. ==[ alpha ]==> (^x.((a a)(^y.(a a)))) REDUCED to normal form. ------ 148594/15956532. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.(^z1.z1)) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 148595/15956574. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b (^z.z)) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 148596/15956946. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> (((a (^x.x))((^y.y) a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 148597/15957024. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148598/15957720. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 148599/15957789. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) b) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 148600/15958818. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 148601/15958827. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((a a)(a a)))) REDUCED to normal form. ------ 148602/15959178. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 148603/15959187. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.((y y)(y y)))) REDUCED to normal form. ------ 148604/15959238. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a (^z.(^x1.x1)))(a (^y1.y1)))((a (^z.(^x1.x1)))(a (^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.(^y.y)))(a (^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1))))(^x2.x2)) REDUCED to normal form. ------ 148605/15959529. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 148606/15960501. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 148607/15960543. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((b a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 148608/15961434. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148609/15962697. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.((x1 x1)(^y1.y1)))) REDUCED to normal form. ------ 148610/15962748. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a b)(a (^y.y)))) 3. ==[ beta ]==> ((((a b)(a (^y.y)))((a b)(a (^y.y))))(((a b)(a (^y.y)))((a b)(a (^y.y))))) 4. ==[ alpha ]==> ((((a b)(a (^x.x)))((a b)(a (^y.y))))(((a b)(a (^z.z)))((a b)(a (^x1.x1))))) REDUCED to normal form. ------ 148611/15963138. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 148612/15963147. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 148613/15963561. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.(a b))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(a b))) REDUCED to normal form. ------ 148614/15964146. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.b))) 3. ==[ beta ]==> ((b c)(^y.(^z.b))) 4. ==[ alpha ]==> ((b c)(^x.(^y.b))) REDUCED to normal form. ------ 148615/15964308. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.((a a) a))) REDUCED to normal form. ------ 148616/15964614. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 148617/15964911. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b a)(^x.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 148618/15964989. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a (^x1.x1))((^y1.y1) a))) 3. ==[ eta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148619/15965433. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 148620/15965523. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(^z1.(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148621/15965577. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^d.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 148622/15965604. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 148623/15965712. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 148624/15965793. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(^x1.(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 148625/15965808. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))((a a) a)) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))((a a) a)) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 148626/15965829. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(^a.(a a))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(^z.(z z))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 148627/15965856. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.z)) REDUCED to normal form. ------ 148628/15965868. ------ 1. ==[ start ]==> ((a a)((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a a)((a (^x.x))(b (^y.y)))) REDUCED to normal form. ------ 148629/15965895. ------ 1. ==[ start ]==> ((a (a a))((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (a a))((a a)((^x.(^y.y)) a))) 3. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 4. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 148630/15965913. ------ 1. ==[ start ]==> (((a a) a)(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (((a a) a)(a (^x.(x (^y.y))))) REDUCED to normal form. ------ 148631/15965931. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.(^z.z)) a)(^x1.x1))) 3. ==[ beta ]==> ((a a)(((^y.(^z.z)) a)(^x1.x1))) 4. ==[ alpha ]==> ((a a)(((^x.(^y.y)) a)(^z.z))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 148632/15965958. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 148633/15966012. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148634/15966021. ------ 1. ==[ start ]==> (((a a) b)((^b.b)(a (a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a a) b)(a (a a))) REDUCED to normal form. ------ 148635/15966039. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 148636/15966048. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 148637/15966066. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(^z.a))) 3. ==[ beta ]==> ((a (^y.y))((b a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(^y.a))) REDUCED to normal form. ------ 148638/15966093. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 148639/15966120. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.a))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 148640/15966156. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 148641/15966201. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 148642/15966228. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 148643/15966237. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) b)((^z.z) b))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) b)((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x)) b)(b ((^z.z) b))) 6. ==[ alpha ]==> (((a (^x.x)) b)(b ((^y.y) b))) 7. ==[ beta ]==> (((a (^x.x)) b)(b b)) REDUCED to normal form. ------ 148644/15966264. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)((a a)(a a)))) 3. ==[ beta ]==> ((a a)((^y.a)((a a)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.a)((a a)(a a)))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 148645/15966291. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 148646/15966318. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.(^z1.z1)) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 148647/15966363. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b (^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))((b (^y.y)) b)) REDUCED to normal form. ------ 148648/15966453. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 148649/15966534. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 148650/15966561. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 148651/15966615. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 148652/15966642. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 148653/15966669. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 148654/15966705. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b (b (^x.x)))) REDUCED to normal form. ------ 148655/15966732. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 148656/15966759. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((b (^z.z))(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))((b (^z.z))(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((b (^y.y))(a a))) REDUCED to normal form. ------ 148657/15966786. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a)(a a))(a (^x.x)))) REDUCED to normal form. ------ 148658/15966813. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(b ((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 148659/15967110. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)(b (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(b (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(b (^y.y)))) REDUCED to normal form. ------ 148660/15967281. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 148661/15967335. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b)(^z.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b)(^z.(a a)))) 5. ==[ beta ]==> (a ((a b)(^z.(a a)))) 6. ==[ alpha ]==> (a ((a b)(^x.(a a)))) REDUCED to normal form. ------ 148662/15967371. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (b ((^y.a)((a a)(^z.z)))) 6. ==[ alpha ]==> (b ((^x.a)((a a)(^y.y)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 148663/15967398. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(b a))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 148664/15967416. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)((a (a a))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 148665/15967443. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 148666/15967452. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 148667/15967479. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 148668/15967506. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(b (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.y))) REDUCED to normal form. ------ 148669/15967578. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) b) c)) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) b) c)) 3. ==[ beta ]==> ((a (^x.b))(b c)) REDUCED to normal form. ------ 148670/15967749. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 148671/15967929. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a)) b)) 3. ==[ beta ]==> (b ((^z.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 148672/15967956. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.b) c)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y) c)) 3. ==[ beta ]==> ((a b)((^y.y) c)) 4. ==[ alpha ]==> ((a b)((^x.x) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 148673/15968163. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))(b a))) REDUCED to normal form. ------ 148674/15968190. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 148675/15968217. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) b))) 7. ==[ beta ]==> ((a (^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 148676/15968244. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 148677/15968316. ------ 1. ==[ start ]==> (((^a.b) b)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 148678/15968361. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((b a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.(a a))((b a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.(a a))((b a)(^y.(y y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 148679/15968388. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 148680/15968442. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(^x1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.b))) 5. ==[ beta ]==> ((^y.y)((a b)(^y1.b))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.b))) 7. ==[ beta ]==> ((a b)(^y.b)) 8. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 148681/15968532. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))(b a))) 3. ==[ beta ]==> (((a b) b)((b a)(b a))) REDUCED to normal form. ------ 148682/15968559. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 148683/15968577. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.z))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 148684/15968586. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 148685/15968604. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 148686/15968613. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)(a a))) REDUCED to normal form. ------ 148687/15968658. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) b) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) b) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) b) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) b) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b) b)) 9. ==[ beta ]==> ((^y.y)(((^z.z) b) b)) 10. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 11. ==[ beta ]==> (((^y.y) b) b) 12. ==[ alpha ]==> (((^x.x) b) b) 13. ==[ beta ]==> (b b) REDUCED to normal form. ------ 148688/15968667. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 148689/15968694. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1)))(^z1.a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(^y1.a))) 7. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.a))((^y.(^z.(^x1.x1)))(^y1.a))) 8. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.(^x2.x2)))(^y2.a))) 9. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(^y2.a))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148690/15968748. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 148691/15968775. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 148692/15968946. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(b ((^y.y) b))) 3. ==[ beta ]==> ((((a a) a) a)(b ((^y.y) b))) 4. ==[ alpha ]==> ((((a a) a) a)(b ((^x.x) b))) 5. ==[ beta ]==> ((((a a) a) a)(b b)) REDUCED to normal form. ------ 148693/15968964. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 148694/15968973. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a ((a a)(a a)))) REDUCED to normal form. ------ 148695/15969000. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) b)(a a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) b)(a a))) 5. ==[ beta ]==> (((a a)(a a))(b (a a))) REDUCED to normal form. ------ 148696/15969027. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 148697/15969315. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.(a a)))) REDUCED to normal form. ------ 148698/15969342. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(a a))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 148699/15969360. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 148700/15969441. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 148701/15969450. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 148702/15969477. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 148703/15970062. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z)) d)) 3. ==[ beta ]==> ((b a)((^y.(^z.z)) d)) 4. ==[ alpha ]==> ((b a)((^x.(^y.y)) d)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 148704/15970233. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (^d.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (^y.a))) REDUCED to normal form. ------ 148705/15970260. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.a))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 148706/15970287. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 148707/15970332. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((b a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 148708/15970611. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148709/15970629. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((b a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((b a) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((b a) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148710/15970899. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.(^x2.x2))) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2))) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148711/15970953. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148712/15971196. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((b a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148713/15971223. ------ 1. ==[ start ]==> ((a (^b.b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 148714/15971502. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148715/15972015. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 148716/15972033. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 148717/15972042. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 148718/15972069. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 148719/15972150. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(y1 y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 148720/15972177. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)(a b))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(a b))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(a b))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 148721/15972483. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a ((a a)(^x1.x1)))) REDUCED to normal form. ------ 148722/15972510. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((b (a a))(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> ((b (a a))(((^x.x)(a a))(a a))) 5. ==[ beta ]==> ((b (a a))((a a)(a a))) REDUCED to normal form. ------ 148723/15972537. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a b)(a (^x.x)))) REDUCED to normal form. ------ 148724/15972573. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^c.a) d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a) d)) 3. ==[ beta ]==> ((^y.y)((^x1.a) d)) 4. ==[ alpha ]==> ((^x.x)((^y.a) d)) 5. ==[ beta ]==> ((^y.a) d) 6. ==[ alpha ]==> ((^x.a) d) 7. ==[ beta ]==> a REDUCED to normal form. ------ 148725/15972816. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148726/15972852. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b)(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((b b)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((b b)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((b b)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((b b)((^x.x)(^y.y))) 11. ==[ beta ]==> ((b b)(^y.y)) 12. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 148727/15972879. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.a)((a a) a))) 3. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 148728/15972897. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 148729/15972924. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 148730/15972933. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 148731/15972960. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(a a))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(a a))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(a a))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 148732/15972978. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a b) b)) 3. ==[ beta ]==> (((b a)(b a))((a b) b)) REDUCED to normal form. ------ 148733/15973041. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 148734/15973068. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 148735/15973122. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 148736/15973167. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148737/15973266. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 148738/15973293. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x)) b)(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a (^x.x)) b)(a (^z.z))) 8. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 148739/15973320. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 148740/15973347. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a)(a b))) REDUCED to normal form. ------ 148741/15973788. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^c.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a) b)) 3. ==[ beta ]==> (b ((^z.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 148742/15973932. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) c)(a (^y.b))) 3. ==[ beta ]==> ((b c)(a (^y.b))) 4. ==[ alpha ]==> ((b c)(a (^x.b))) REDUCED to normal form. ------ 148743/15973959. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^c.a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a)(a a))) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 148744/15974004. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 148745/15974031. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 148746/15974067. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 148747/15974094. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 148748/15974166. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 148749/15974175. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 148750/15974202. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 148751/15974400. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(b (^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 148752/15974508. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(c d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(c d)) 3. ==[ beta ]==> (((^y.y)(b a))(c d)) 4. ==[ alpha ]==> (((^x.x)(b a))(c d)) 5. ==[ beta ]==> ((b a)(c d)) REDUCED to normal form. ------ 148753/15974670. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(b (a (a a)))) REDUCED to normal form. ------ 148754/15974697. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((b a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((b a)(a (^y.y))) 8. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 148755/15974724. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 148756/15974778. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 148757/15974868. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 148758/15974949. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 148759/15975057. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(z1 z1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(z1 z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148760/15975174. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((^z.a)(a a))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(a a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(a a))) 5. ==[ beta ]==> (a ((^y.a)(a a))) 6. ==[ alpha ]==> (a ((^x.a)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 148761/15975192. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 148762/15975219. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 148763/15975273. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((a (^z.z)) b)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((a (^z.z)) b)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((a (^z.z)) b)) 5. ==[ beta ]==> ((b ((^y.y) b))((a (^z.z)) b)) 6. ==[ alpha ]==> ((b ((^x.x) b))((a (^y.y)) b)) 7. ==[ beta ]==> ((b b)((a (^y.y)) b)) 8. ==[ alpha ]==> ((b b)((a (^x.x)) b)) REDUCED to normal form. ------ 148764/15975282. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 148765/15975309. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148766/15975354. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 148767/15975363. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 148768/15975390. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(a (^z.a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 148769/15975417. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 148770/15975462. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((a (^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148771/15975471. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 148772/15975498. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(x x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 148773/15975525. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(b (^y.y))) REDUCED to normal form. ------ 148774/15975579. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))((^x1.x1)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 148775/15975597. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((a a) a)) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((a a) a)) REDUCED to normal form. ------ 148776/15975615. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(a (a a))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(a (a a))) 3. ==[ beta ]==> (((a a)(^y.y))(a (a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 148777/15975642. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(a a)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(a a)) REDUCED to normal form. ------ 148778/15975708. ------ 1. ==[ start ]==> ((^a.b)(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(z (^x1.x1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 148779/15985383. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(^a.b)) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(^x1.b)) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 148780/15985431. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a))) b) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y))) b) REDUCED to normal form. ------ 148781/15985455. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148782/15985500. ------ 1. ==[ start ]==> ((^a.b)(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> ((^x.b)(a (^y.(y (^z.z))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 148783/15985503. ------ 1. ==[ start ]==> ((a b)(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(y (^z.z))))) REDUCED to normal form. ------ 148784/15986040. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))(((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.(^x2.(^y2.y2)))(^z2.(^x3.x3)))((^y3.(^z3.(^x4.x4)))(^y4.(^z4.z4))))) 5. ==[ beta ]==> ((^y.(^z.z))(((^z1.(^x2.(^y2.y2)))(^z2.(^x3.x3)))((^y3.(^z3.(^x4.x4)))(^y4.(^z4.z4))))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))((^y2.(^z2.(^x3.x3)))(^y3.(^z3.z3))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148785/15986265. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c ((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148786/15986823. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((((^y.(^z.(^x1.x1)))(a (a a)))((^y.(^z.(^x1.x1)))(a (a a))))((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.(^z1.z1)))(a (a a))))((^x2.(^y2.(^z2.z2)))(a (a a)))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a (a a))))((^x2.(^y2.(^z2.z2)))(a (a a)))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (a a))))((^z1.(^x2.(^y2.y2)))(a (a a)))) 7. ==[ beta ]==> ((^y.y)((^z1.(^x2.(^y2.y2)))(a (a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 10. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148787/15987087. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 148788/15987336. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.z))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 148789/15987723. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))((a a)(^y1.y1)))(((^z.z)(^x1.x1))((a a)(^y1.y1))))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))((a a)(^x1.x1)))(((^y1.y1)(^z1.z1))((a a)(^x2.x2))))) 5. ==[ beta ]==> (^x.(((^z.z)((a a)(^x1.x1)))(((^y1.y1)(^z1.z1))((a a)(^x2.x2))))) 6. ==[ alpha ]==> (^x.(((^y.y)((a a)(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1))))) 7. ==[ beta ]==> (^x.(((a a)(^z.z))(((^x1.x1)(^y1.y1))((a a)(^z1.z1))))) 8. ==[ alpha ]==> (^x.(((a a)(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1))))) 9. ==[ beta ]==> (^x.(((a a)(^y.y))((^x1.x1)((a a)(^y1.y1))))) 10. ==[ alpha ]==> (^x.(((a a)(^y.y))((^z.z)((a a)(^x1.x1))))) 11. ==[ beta ]==> (^x.(((a a)(^y.y))((a a)(^x1.x1)))) 12. ==[ alpha ]==> (^x.(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 148790/15987930. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.(^y1.y1)))((^z1.z1) a))((^z.(^x1.(^y1.y1)))((^z1.z1) a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.(^x1.x1)))((^y1.y1) a))((^z1.(^x2.(^y2.y2)))((^z2.z2) a)))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))((^y1.y1) a))((^z1.(^x2.(^y2.y2)))((^z2.z2) a))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 7. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148791/15988194. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 148792/15988554. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 148793/15989229. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148794/15989361. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 148795/15990198. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (((^x1.(^y1.(^z1.z1)))(^x2.x2))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.z1))) 5. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148796/15990480. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(y1 (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148797/15991038. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(z a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(z a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y a))) REDUCED to normal form. ------ 148798/15991116. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 148799/15991290. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 148800/15991821. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.((a a)(^y1.y1)))) REDUCED to normal form. ------ 148801/15992064. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 148802/15992289. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 148803/15992514. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 148804/15992748. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.((^z1.z1)(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1)(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148805/15992955. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 148806/15993144. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x) b)(a (^y.y))) a) 4. ==[ beta ]==> ((b (a (^y.y))) a) 5. ==[ alpha ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 148807/15993195. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 148808/15993855. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z) z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148809/15994143. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a a))(^x.(^z.z))) 6. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 148810/15994278. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 148811/15994638. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(z1 (z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(z1 (z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148812/15994971. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.c)) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.c)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.c)) REDUCED to normal form. ------ 148813/15995079. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^c.b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.b)) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.b)) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.b)) REDUCED to normal form. ------ 148814/15995175. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(a b)) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(a b)) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 148815/15995178. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(^a.b)) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.b)) REDUCED to normal form. ------ 148816/15995196. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 148817/15995223. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 148818/15995253. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(b (^z.z)))) REDUCED to normal form. ------ 148819/15995280. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 148820/15995298. ------ 1. ==[ start ]==> ((a b)(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> ((a b)(a (^x.(x (^y.y))))) REDUCED to normal form. ------ 148821/15995316. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.(^z.z)) a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 148822/15995343. ------ 1. ==[ start ]==> (((^a.a) b)((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((b (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((b (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((b (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 148823/15995370. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(a a))(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.a)) 6. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 148824/15995397. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) b)(^y.(y y)))) 3. ==[ beta ]==> (((a a) b)(b (^y.(y y)))) 4. ==[ alpha ]==> (((a a) b)(b (^x.(x x)))) REDUCED to normal form. ------ 148825/15995424. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 148826/15995451. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.a))) REDUCED to normal form. ------ 148827/15995478. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(^x1.b))) REDUCED to normal form. ------ 148828/15995514. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 148829/15995532. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 148830/15995541. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 148831/15995613. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(^y.y))) REDUCED to normal form. ------ 148832/15995721. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> ((a (^y.y))(((^z.(^x1.x1)) a) a)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.(^z.z)) a) a)) 5. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 148833/15995811. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 148834/15995838. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 148835/15996063. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c ((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c ((a a)(a a)))) REDUCED to normal form. ------ 148836/15996198. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148837/15996225. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 148838/15996279. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))((a a) a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a) a))) 7. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 8. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 148839/15996333. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)((a b)((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 7. ==[ beta ]==> ((a b)((^y.y)(a a))) 8. ==[ alpha ]==> ((a b)((^x.x)(a a))) 9. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 148840/15996360. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 148841/15996414. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 148842/15996594. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 148843/15996621. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 148844/15996747. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 148845/15996828. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 148846/15996909. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b (^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b (^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b (^x1.x1)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((b (^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((b (^z.z)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148847/15996936. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(a a)) b)) REDUCED to normal form. ------ 148848/15996972. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.a)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.a)) REDUCED to normal form. ------ 148849/15996999. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 148850/15997080. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(^x1.b))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.b))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 148851/15997107. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 148852/15997134. ------ 1. ==[ start ]==> ((a (a b))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 148853/15997305. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a)(a a))(a a))) 3. ==[ beta ]==> (b (((a a)(a a))(a a))) REDUCED to normal form. ------ 148854/15997314. ------ 1. ==[ start ]==> (((a b) a)((^c.(a a)) b)) 2. ==[ alpha ]==> (((a b) a)((^x.(a a)) b)) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 148855/15997332. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((a b)(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)(((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(b (a (^y.y)))) 6. ==[ alpha ]==> ((a b)(b (a (^x.x)))) REDUCED to normal form. ------ 148856/15997341. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.b) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y) c)) 3. ==[ beta ]==> (((a a)(^x.b)) c) REDUCED to normal form. ------ 148857/15997359. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 148858/15997413. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 148859/15997494. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (b (((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 148860/15997521. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 148861/15997620. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.(a a)))) REDUCED to normal form. ------ 148862/15997692. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> (b (b (^y.(^z.z)))) 6. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 148863/15997701. ------ 1. ==[ start ]==> (((a b)(a a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a a))(a (^y.y))) 4. ==[ alpha ]==> (((a b)(a a))(a (^x.x))) REDUCED to normal form. ------ 148864/15997728. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 148865/15997935. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 148866/15997962. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 148867/15997989. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.(a a)))) REDUCED to normal form. ------ 148868/15998043. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) b) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 148869/15998187. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.b))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 148870/15998214. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 148871/15998241. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 148872/15998295. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 148873/15998322. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 148874/15998349. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(a a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 148875/15998439. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((b a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y) a))) 5. ==[ beta ]==> ((b a)((^y.y) a)) 6. ==[ alpha ]==> ((b a)((^x.x) a)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 148876/15998574. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 148877/15998655. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 148878/15998682. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) b))) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 148879/15998718. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) b)(^z.z))) 5. ==[ beta ]==> ((a (^x.b))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.b))(b (^y.y))) REDUCED to normal form. ------ 148880/15998772. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148881/15998799. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 148882/15998826. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 148883/15998853. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 148884/15998880. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a)(^z.b))) REDUCED to normal form. ------ 148885/15998916. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 148886/15998943. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(((a a)(^z.z))((a a)(^z.z)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 148887/15998970. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(b a))) 3. ==[ beta ]==> ((a (a b))((^y.a)(b a))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(b a))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 148888/15998997. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 148889/15999024. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1) b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1) b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1) b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1) b))) 7. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) b))) 8. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) b))) 9. ==[ beta ]==> ((^y.y)((^z.z) b)) 10. ==[ alpha ]==> ((^x.x)((^y.y) b)) 11. ==[ beta ]==> ((^y.y) b) 12. ==[ alpha ]==> ((^x.x) b) 13. ==[ beta ]==> b REDUCED to normal form. ------ 148890/15999051. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 148891/15999078. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 148892/15999159. ------ 1. ==[ start ]==> ((a (b a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 148893/15999330. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 148894/15999393. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 148895/15999438. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((b a)(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((b a)(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> ((b a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 148896/15999465. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 148897/15999519. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a b)(a b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 148898/15999600. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (b (((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (b (a ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 148899/15999780. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(a (a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(a (a a)))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 148900/15999807. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 148901/15999861. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 148902/15999888. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(a (a a)))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a b)(a (a a)))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a b)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 148903/15999915. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.a)((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)((a a)(^y.y)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 148904/15999942. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 148905/15999987. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1))) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148906/15999996. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 148907/16000275. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a (a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148908/16000284. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 148909/16000302. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((b a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(a a))) REDUCED to normal form. ------ 148910/16000329. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 148911/16000383. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a b)(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a b)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a b)(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a b)(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))((a b)(a (a a)))) REDUCED to normal form. ------ 148912/16000464. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> (b ((a (a a))(a b))) REDUCED to normal form. ------ 148913/16000581. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((b a)(^x1.x1))) REDUCED to normal form. ------ 148914/16000644. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 148915/16000671. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(a (a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 148916/16000725. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 148917/16000752. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a b)(a b))) REDUCED to normal form. ------ 148918/16000779. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 148919/16000806. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 148920/16000833. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z)(b a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(b a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(b a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(b a)) REDUCED to normal form. ------ 148921/16000878. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148922/16000914. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 148923/16001085. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (b (b ((a a)(^z.z)))) 4. ==[ alpha ]==> (b (b ((a a)(^x.x)))) REDUCED to normal form. ------ 148924/16001193. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a b)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148925/16001247. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 148926/16001274. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 148927/16001328. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 148928/16001391. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 148929/16001418. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 148930/16001445. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 148931/16001472. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 148932/16001553. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((b (^x.x))(a (^z.b))) 6. ==[ alpha ]==> ((b (^x.x))(a (^y.b))) REDUCED to normal form. ------ 148933/16001589. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 148934/16001616. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 148935/16001643. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 148936/16001670. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 148937/16001697. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(^x1.a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.a))) 7. ==[ beta ]==> ((a a)((^y.b)(^z.a))) 8. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 148938/16001724. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 148939/16001751. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 148940/16001805. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 148941/16001949. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 148942/16002084. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 148943/16002228. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((b b)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 148944/16002309. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(a a)))) REDUCED to normal form. ------ 148945/16002336. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1)(a a)) a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(a a)) a)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 148946/16002543. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(a ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148947/16002552. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(a a)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a a)) REDUCED to normal form. ------ 148948/16002579. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.b) b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.b) b)) 5. ==[ beta ]==> ((b (^x.(^y.y))) b) REDUCED to normal form. ------ 148949/16002723. ------ 1. ==[ start ]==> (((a (a a))(b a))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))(b a))(b (^x.b))) REDUCED to normal form. ------ 148950/16002750. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (^z.(a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 148951/16002777. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.b)(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.b)(a a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)(a a))) 5. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 148952/16002804. ------ 1. ==[ start ]==> (((a b)(a b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 148953/16002831. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 148954/16002858. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a (a a))(a (a a)))) REDUCED to normal form. ------ 148955/16002912. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 148956/16002939. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z)(a b))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(a b))) 5. ==[ beta ]==> ((b (a (^x.x)))(a b)) REDUCED to normal form. ------ 148957/16002966. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.b)(^y.y))) 3. ==[ beta ]==> ((((a a)(a a))(a a)) b) REDUCED to normal form. ------ 148958/16002993. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 148959/16003164. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((a a) a)(a a))) 3. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 148960/16003272. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148961/16003335. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 148962/16003443. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 148963/16003551. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (a a)) c)) REDUCED to normal form. ------ 148964/16003650. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(a ((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148965/16003686. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 148966/16003776. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 148967/16003830. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(a a))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(a a))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 148968/16003857. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 148969/16003884. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((b a)((^y.a)((^z.z) a))) 6. ==[ alpha ]==> ((b a)((^x.a)((^y.y) a))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 148970/16003911. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 148971/16003938. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a b)(a a))(^y.y)) 8. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 148972/16003965. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 148973/16003992. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 148974/16004046. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))(^z.z)) REDUCED to normal form. ------ 148975/16004073. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(^y.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 148976/16004433. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 148977/16004550. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.z))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 148978/16004595. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 148979/16004649. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(c (a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(c (a a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(c (a a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(c (a a))) 5. ==[ beta ]==> ((b ((^y.y) b))(c (a a))) 6. ==[ alpha ]==> ((b ((^x.x) b))(c (a a))) 7. ==[ beta ]==> ((b b)(c (a a))) REDUCED to normal form. ------ 148980/16004658. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 148981/16004730. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((a (^z.z))(a a))) 3. ==[ beta ]==> (b ((a (^z.z))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 148982/16004739. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 148983/16004766. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.z) c)) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.z) c)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) c)) 5. ==[ beta ]==> (((a a)(^x.(a a))) c) REDUCED to normal form. ------ 148984/16004793. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 148985/16004847. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1)) a)) REDUCED to normal form. ------ 148986/16004874. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((a a) b)) 3. ==[ beta ]==> ((b (^y.(y y)))((a a) b)) 4. ==[ alpha ]==> ((b (^x.(x x)))((a a) b)) REDUCED to normal form. ------ 148987/16004901. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 148988/16004955. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))((a a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 148989/16004973. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(a b)) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(a b)) REDUCED to normal form. ------ 148990/16004991. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 148991/16005018. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 148992/16014768. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(^x1.(a a))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 148993/16014816. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a))) c) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y))) c) REDUCED to normal form. ------ 148994/16014906. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(z (^x1.x1))))) 3. ==[ beta ]==> ((a a)(^y.(^z.(z (^x1.x1))))) 4. ==[ alpha ]==> ((a a)(^x.(^y.(y (^z.z))))) REDUCED to normal form. ------ 148995/16014975. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a)(a a))(^z.a))) 3. ==[ beta ]==> ((((a a)(a a))(^z.a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 148996/16015092. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(a b))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148997/16015659. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 148998/16016217. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a (^y.(^z.z)))(^x1.(x1 x1)))((a (^y.(^z.z)))(^x1.(x1 x1))))((a (^y.(^z.z)))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a (^x.(^y.y)))(^z.(z z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1))))((a (^x2.(^y2.y2)))(^z2.(z2 z2)))) REDUCED to normal form. ------ 148999/16016550. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 149000/16016886. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(b (^y.y)))) REDUCED to normal form. ------ 149001/16017324. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((a (^z.(^x1.x1)))(^y1.a))((a (^z.(^x1.x1)))(^y1.a)))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.(^z.z)))(^x1.a))((a (^y1.(^z1.z1)))(^x2.a)))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.a))((a (^y1.(^z1.z1)))(^x2.a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.(^y1.y1)))(^z1.a))) REDUCED to normal form. ------ 149002/16017939. ------ 1. ==[ start ]==> (((^a.b) c)(^d.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.((^z.z) b))) 3. ==[ beta ]==> (b (^y.((^z.z) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 149003/16017999. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((((^z.z) b)((^z.z) b))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.z)) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.z)) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.y)) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 149004/16018290. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^z.b)) REDUCED to normal form. ------ 149005/16019304. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.(^x2.x2)))(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 149006/16019592. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a (^x1.(^y1.y1))) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 149007/16019874. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149008/16019883. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 149009/16020171. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149010/16020510. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(a a)) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 149011/16020963. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.((a a)(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149012/16021509. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(a a)) b)) 3. ==[ beta ]==> ((((^y.(a a)) b)((^y.(a a)) b))(((^y.(a a)) b)((^y.(a a)) b))) 4. ==[ alpha ]==> ((((^x.(a a)) b)((^y.(a a)) b))(((^z.(a a)) b)((^x1.(a a)) b))) 5. ==[ beta ]==> (((a a)((^y.(a a)) b))(((^z.(a a)) b)((^x1.(a a)) b))) 6. ==[ alpha ]==> (((a a)((^x.(a a)) b))(((^y.(a a)) b)((^z.(a a)) b))) 7. ==[ beta ]==> (((a a)(a a))(((^y.(a a)) b)((^z.(a a)) b))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.(a a)) b)((^y.(a a)) b))) 9. ==[ beta ]==> (((a a)(a a))((a a)((^y.(a a)) b))) 10. ==[ alpha ]==> (((a a)(a a))((a a)((^x.(a a)) b))) 11. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 149013/16022142. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149014/16022151. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(x1 x1))) REDUCED to normal form. ------ 149015/16022538. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.b))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 149016/16022589. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((a a) a) b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149017/16022907. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.((a a) a))) 3. ==[ beta ]==> ((b c)(^y.((a a) a))) 4. ==[ alpha ]==> ((b c)(^x.((a a) a))) REDUCED to normal form. ------ 149018/16023249. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149019/16023258. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.((x1 x1) x1))) REDUCED to normal form. ------ 149020/16023537. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 149021/16023750. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^b.a) c)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.a) c)) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149022/16023924. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (b (^x1.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 149023/16024032. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149024/16024365. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 149025/16024437. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(^z1.(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149026/16024446. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.c)) REDUCED to normal form. ------ 149027/16024500. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 149028/16024569. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))((^x1.x1)(a a))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 149029/16024572. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(^b.(a a))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.(a a))) REDUCED to normal form. ------ 149030/16024617. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.a)) REDUCED to normal form. ------ 149031/16024665. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(b (^z.z)))) 3. ==[ beta ]==> (a ((a (^y.y))(b (^z.z)))) 4. ==[ alpha ]==> (a ((a (^x.x))(b (^y.y)))) REDUCED to normal form. ------ 149032/16024692. ------ 1. ==[ start ]==> (((a a) a)((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a) a)((a a)((^x.(^y.y)) a))) 3. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 149033/16024710. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))(a (^y.(y (^z.z))))) 3. ==[ beta ]==> ((a a)(a (^y.(y (^z.z))))) 4. ==[ alpha ]==> ((a a)(a (^x.(x (^y.y))))) REDUCED to normal form. ------ 149034/16024755. ------ 1. ==[ start ]==> (((a a)(a a))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((b (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 149035/16024782. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(a a))(^y.a))) REDUCED to normal form. ------ 149036/16024818. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 149037/16024845. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 149038/16024899. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 149039/16024917. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 149040/16024944. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 149041/16024980. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(b a))) 3. ==[ beta ]==> ((^y.a)((^z.a)(b a))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(b a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 149042/16025007. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149043/16025061. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)((a a)(a a)))) 5. ==[ beta ]==> (a ((^y.a)((a a)(a a)))) 6. ==[ alpha ]==> (a ((^x.a)((a a)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149044/16025088. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(b (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149045/16025160. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b (^a.a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((b (^y.y)) b)) 3. ==[ beta ]==> (((a a) a)((b (^y.y)) b)) 4. ==[ alpha ]==> (((a a) a)((b (^x.x)) b)) REDUCED to normal form. ------ 149046/16025250. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.(^y2.y2)))(^z2.(^x3.x3)))) 7. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.(^y2.y2)))(^z2.(^x3.x3)))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149047/16025331. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(a a))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> ((^y.(a a))(^z.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149048/16025358. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 149049/16025439. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 149050/16025466. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 149051/16025556. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((b (^y.y))(a a))) 3. ==[ beta ]==> ((b b)((b (^y.y))(a a))) 4. ==[ alpha ]==> ((b b)((b (^x.x))(a a))) REDUCED to normal form. ------ 149052/16025691. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 149053/16025718. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(a b))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(a b))) 5. ==[ beta ]==> (a (((^y.y)(a a))(a b))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(a b))) 7. ==[ beta ]==> (a ((a a)(a b))) REDUCED to normal form. ------ 149054/16025745. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 149055/16025772. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a)((a a)(^z.z)))) REDUCED to normal form. ------ 149056/16025799. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(b a))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(b a))) 7. ==[ beta ]==> ((a (^x.a))(b a)) REDUCED to normal form. ------ 149057/16025826. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 149058/16025853. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) a)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1) b))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 7. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 8. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 9. ==[ beta ]==> (a ((^y.y) b)) 10. ==[ alpha ]==> (a ((^x.x) b)) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 149059/16025943. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) a))((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) a))((b (^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)((b (^y.y))(^z.z))) 6. ==[ alpha ]==> ((a a)((b (^x.x))(^y.y))) REDUCED to normal form. ------ 149060/16025970. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 149061/16025997. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b)(^z.a))) 5. ==[ beta ]==> ((a a)(((^y.y) b)(^z.a))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.a))) 7. ==[ beta ]==> ((a a)(b (^y.a))) 8. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 149062/16026024. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 149063/16026114. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))(a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))(a b))) 5. ==[ beta ]==> (a ((^z.(a a))(a b))) 6. ==[ alpha ]==> (a ((^x.(a a))(a b))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 149064/16026195. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 149065/16026222. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 149066/16026276. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((a a)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((a a)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((a a)(a a)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(a a)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(a a)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 149067/16026357. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 149068/16026375. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) b) c)) 3. ==[ beta ]==> (((a a)((a a) a))(b c)) REDUCED to normal form. ------ 149069/16026546. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 149070/16026627. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(^x1.x1))) IRREDUCIBLE: cycle. ------ 149071/16026690. ------ 1. ==[ start ]==> ((((a a) a) b)(a (b (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(a (b (^x.x)))) REDUCED to normal form. ------ 149072/16026717. ------ 1. ==[ start ]==> (((a b) a)(((a a)(a a))(a a))) REDUCED to normal form. ------ 149073/16026744. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.b))(b (a (^y.y)))) REDUCED to normal form. ------ 149074/16026798. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(a (a a)))) REDUCED to normal form. ------ 149075/16026825. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 149076/16026852. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(a a))((a a) a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 149077/16026879. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 149078/16026906. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 149079/16027077. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 149080/16027104. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 149081/16027131. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 149082/16027140. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149083/16027221. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 7. ==[ beta ]==> ((^y.(a a))((a a) a)) 8. ==[ alpha ]==> ((^x.(a a))((a a) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149084/16027302. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149085/16027356. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((^y.a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((^x.a)(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 149086/16027383. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149087/16027743. ------ 1. ==[ start ]==> (((^a.b) c)(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) c)(b ((^y.y) b))) 3. ==[ beta ]==> (b (b ((^y.y) b))) 4. ==[ alpha ]==> (b (b ((^x.x) b))) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 149088/16027806. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y) b)) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 149089/16027986. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b) c)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b) c)((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a b) c)((^y.y)(a a))) 6. ==[ alpha ]==> (((a b) c)((^x.x)(a a))) 7. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 149090/16028013. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) b)((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) b)((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 149091/16028040. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(b a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (b a))) REDUCED to normal form. ------ 149092/16028085. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149093/16028094. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a) b)) REDUCED to normal form. ------ 149094/16028139. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(a a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 149095/16028220. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149096/16028319. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.(a a))) 6. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(a a))) REDUCED to normal form. ------ 149097/16028400. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 149098/16028427. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 149099/16028454. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x) b) a)) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(b a)) REDUCED to normal form. ------ 149100/16028481. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (((a b) a)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (((a b) a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 149101/16028508. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((b a) c)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((b a) c)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((b a) c)) REDUCED to normal form. ------ 149102/16028652. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149103/16028733. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149104/16028796. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 149105/16028904. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a b)(^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))((a b)(^y.y))) REDUCED to normal form. ------ 149106/16028931. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 149107/16028985. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 149108/16029012. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 149109/16029039. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))(b a))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))(b a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(b a))) REDUCED to normal form. ------ 149110/16029066. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 149111/16029111. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 149112/16029129. ------ 1. ==[ start ]==> (((a a)(b a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 149113/16029156. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 149114/16029183. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.(y y)))) 7. ==[ beta ]==> ((a (a a))((a a)(^y.(y y)))) 8. ==[ alpha ]==> ((a (a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 149115/16029210. ------ 1. ==[ start ]==> (((a (a a))(a b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 149116/16029264. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.b))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(^z.b)) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.b)) REDUCED to normal form. ------ 149117/16029291. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 149118/16029399. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 149119/16029408. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149120/16029489. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((^z.(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 149121/16029570. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149122/16029678. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149123/16029687. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 149124/16029714. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((b a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((b a)(a a))) REDUCED to normal form. ------ 149125/16029795. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a b)(a (a a)))) REDUCED to normal form. ------ 149126/16029822. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(((a a) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(((a a) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 149127/16029876. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 149128/16029903. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 149129/16029930. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 149130/16029975. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149131/16030020. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 149132/16030047. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(^y.a))) REDUCED to normal form. ------ 149133/16030074. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 149134/16030101. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 149135/16030128. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> ((a b)((^y.y)(^z.a))) 8. ==[ alpha ]==> ((a b)((^x.x)(^y.a))) 9. ==[ beta ]==> ((a b)(^y.a)) 10. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 149136/16030155. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))(^x.b))) REDUCED to normal form. ------ 149137/16030182. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(a (^z.(a a)))) 6. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 149138/16030290. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 149139/16030317. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(a a)) c)) 3. ==[ beta ]==> ((a b)(((^y.y)(a a)) c)) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a)) c)) 5. ==[ beta ]==> ((a b)((a a) c)) REDUCED to normal form. ------ 149140/16030326. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149141/16030353. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.b)(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)((^z1.b)(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(^z.(z z))) 6. ==[ alpha ]==> ((^x.b)(^y.(y y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 149142/16030488. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149143/16030605. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a b) a)) REDUCED to normal form. ------ 149144/16030632. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((b a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 149145/16030659. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 149146/16030686. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (a a))((a a) a))) REDUCED to normal form. ------ 149147/16030767. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.(a a))((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.(a a))((a a)((a a)(^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149148/16030812. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149149/16030920. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149150/16030992. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 149151/16031046. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((a a)(^y.y)) a)) 3. ==[ beta ]==> ((a (b a))(((a a)(^y.y)) a)) 4. ==[ alpha ]==> ((a (b a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 149152/16031073. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((a a) b)) REDUCED to normal form. ------ 149153/16031100. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a b) c)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a b) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b) c)) 5. ==[ beta ]==> (((^y.y)(a a))((a b) c)) 6. ==[ alpha ]==> (((^x.x)(a a))((a b) c)) 7. ==[ beta ]==> ((a a)((a b) c)) REDUCED to normal form. ------ 149154/16031289. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 149155/16031316. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(a a)) b)) 3. ==[ beta ]==> ((a ((a a)(a a)))(a a)) REDUCED to normal form. ------ 149156/16031487. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.(a a)))) 3. ==[ beta ]==> (b (b (^z.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 149157/16031595. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149158/16031676. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((a a) a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 149159/16031703. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149160/16031757. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((b a)(b a))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(a a))(^y.y))) 5. ==[ beta ]==> (((b a)(b a))(a a)) REDUCED to normal form. ------ 149161/16031838. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149162/16031901. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c ((a a) a))) REDUCED to normal form. ------ 149163/16031946. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.y1)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149164/16031955. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a (a a))) REDUCED to normal form. ------ 149165/16031982. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a b)(a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a b)(a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 149166/16032009. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 149167/16032180. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a b)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a a))((a b)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a b)(^x.x))) REDUCED to normal form. ------ 149168/16032207. ------ 1. ==[ start ]==> (((a b)(a b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 149169/16032234. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.a))) 7. ==[ beta ]==> (((a a)((a a) a))(^y.a)) 8. ==[ alpha ]==> (((a a)((a a) a))(^x.a)) REDUCED to normal form. ------ 149170/16032261. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 149171/16032342. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a a)(^z.b))) 3. ==[ beta ]==> ((b (a (^y.y)))((a a)(^z.b))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 149172/16032369. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a b) a)) REDUCED to normal form. ------ 149173/16032396. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((a (b (^x.x)))(((a a) a) b)) REDUCED to normal form. ------ 149174/16032486. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.a)(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.a)(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149175/16032711. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a)((a a) a))) 3. ==[ beta ]==> ((b c)((a a)((a a) a))) REDUCED to normal form. ------ 149176/16032783. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 149177/16032810. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 7. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 8. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149178/16032864. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 149179/16032945. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149180/16033062. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a ((a a) a))) REDUCED to normal form. ------ 149181/16033089. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((b (^y.a))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((b (^x.a))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((b (^x.a))((^z.z)(a a))) 6. ==[ alpha ]==> ((b (^x.a))((^y.y)(a a))) 7. ==[ beta ]==> ((b (^x.a))(a a)) REDUCED to normal form. ------ 149182/16033116. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 149183/16033233. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y) b))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.z))) 7. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a b)(^y.y)) 10. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 149184/16033260. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 149185/16033287. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(b a))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((b a)(((^y.y) a)(^z.a))) 6. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.a))) 7. ==[ beta ]==> ((b a)(a (^y.a))) 8. ==[ alpha ]==> ((b a)(a (^x.a))) REDUCED to normal form. ------ 149186/16033314. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 149187/16033341. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 149188/16033368. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a a)(a b))(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(a b))((^y.y) a)) 6. ==[ alpha ]==> (((a a)(a b))((^x.x) a)) 7. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 149189/16033395. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((a (a a)) b)) REDUCED to normal form. ------ 149190/16033503. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 149191/16033557. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^b.a) c)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.a) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.a) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.a) c)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 149192/16033647. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 7. ==[ beta ]==> ((^y.(y y))(a a)) 8. ==[ alpha ]==> ((^x.(x x))(a a)) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 149193/16033728. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (b ((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 149194/16033836. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149195/16033971. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a)(a a))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 7. ==[ beta ]==> ((^y.a)(a a)) 8. ==[ alpha ]==> ((^x.a)(a a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 149196/16033998. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149197/16034052. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.a)(^z.z))) 7. ==[ beta ]==> ((b b)((^y.a)(^z.z))) 8. ==[ alpha ]==> ((b b)((^x.a)(^y.y))) 9. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 149198/16034061. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(c (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(c (a a))) REDUCED to normal form. ------ 149199/16034088. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))(b (a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))(b (a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (a (^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149200/16034133. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(c (^z.z))) 3. ==[ beta ]==> (b (c (^z.z))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 149201/16034142. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 149202/16034169. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 149203/16034196. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(c a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(c a)) REDUCED to normal form. ------ 149204/16034241. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((^z1.z1)(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149205/16034250. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a c)) REDUCED to normal form. ------ 149206/16034277. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(b (a a))) 3. ==[ beta ]==> ((b (^y.(y y)))(b (a a))) 4. ==[ alpha ]==> ((b (^x.(x x)))(b (a a))) REDUCED to normal form. ------ 149207/16034304. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(a (a (^y.y)))) REDUCED to normal form. ------ 149208/16034358. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(b a)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(b a)) 3. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 149209/16034376. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((^z.z)(a a))) 3. ==[ beta ]==> ((a (^x.(x (^y.y))))(a a)) REDUCED to normal form. ------ 149210/16034394. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))((a a) a)) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((a a) a)) 3. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 149211/16034421. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(b (^y.y))) a) REDUCED to normal form. ------ 149212/16034447. ------ 1. ==[ start ]==> (^a.(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> (^x.(((^y.y) x)((x x)(x x)))) 3. ==[ beta ]==> (^x.(x ((x x)(x x)))) REDUCED to normal form. ------ 149213/16034448. ------ 1. ==[ start ]==> (a (((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> (a (((^x.x) a)((a a)(a a)))) 3. ==[ beta ]==> (a (a ((a a)(a a)))) REDUCED to normal form. ------ 149214/16034505. ------ 1. ==[ start ]==> ((^a.b)(^c.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.b)(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 149215/16044255. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(a a))) a) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(a a))) a) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 149216/16044261. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a a)(a a))) 4. ==[ alpha ]==> (((^x.x) a)((a a)(a a))) 5. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 149217/16044288. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(b (^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(b (^z.z)))((a (^y.y))(b (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))((a (^z.z))(b (^x1.x1)))) REDUCED to normal form. ------ 149218/16044315. ------ 1. ==[ start ]==> ((^a.b)((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.b)((a a)((^y.(^z.z)) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 149219/16044318. ------ 1. ==[ start ]==> ((a b)(^c.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a b)(^x.((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a b)(^x.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 149220/16044336. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z (^x1.x1))))) REDUCED to normal form. ------ 149221/16044351. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.(^y1.y1)) a)(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149222/16044513. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(^z.z))(^x1.b))) 3. ==[ beta ]==> (^y.(((a a)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (^x.(((a a)(^y.y))(^z.b))) REDUCED to normal form. ------ 149223/16044741. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((a (^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 149224/16044756. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.(^x1.x1)) a) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 149225/16045155. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.((^x1.(^y1.y1)) z))) 3. ==[ eta ]==> ((((^x.x) a)(a (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 149226/16045206. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149227/16045929. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(y1 (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(y1 (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149228/16045971. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(a a)) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 149229/16047396. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.((y y)(y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((y y)(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((x x)(x x)))) REDUCED to normal form. ------ 149230/16047420. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((((^z.z) b)(a a))(((^z.z) b)(a a)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) b)(a a))(((^y.y) b)(a a)))(^z.z)) 5. ==[ beta ]==> (((b (a a))(((^y.y) b)(a a)))(^z.z)) 6. ==[ alpha ]==> (((b (a a))(((^x.x) b)(a a)))(^y.y)) 7. ==[ beta ]==> (((b (a a))(b (a a)))(^y.y)) 8. ==[ alpha ]==> (((b (a a))(b (a a)))(^x.x)) REDUCED to normal form. ------ 149231/16047738. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(y y)))) REDUCED to normal form. ------ 149232/16048725. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 149233/16049007. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149234/16049304. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 149235/16049601. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) REDUCED to normal form. ------ 149236/16049616. ------ 1. ==[ start ]==> ((^a.(^b.b))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149237/16050906. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> ((b (a a))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> ((b (a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 149238/16050930. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((((^y.y)(a a))(a a))(((^y.y)(a a))(a a)))((((^y.y)(a a))(a a))(((^y.y)(a a))(a a)))) 4. ==[ alpha ]==> (((((^x.x)(a a))(a a))(((^y.y)(a a))(a a)))((((^z.z)(a a))(a a))(((^x1.x1)(a a))(a a)))) 5. ==[ beta ]==> ((((a a)(a a))(((^y.y)(a a))(a a)))((((^z.z)(a a))(a a))(((^x1.x1)(a a))(a a)))) 6. ==[ alpha ]==> ((((a a)(a a))(((^x.x)(a a))(a a)))((((^y.y)(a a))(a a))(((^z.z)(a a))(a a)))) 7. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))((((^y.y)(a a))(a a))(((^z.z)(a a))(a a)))) 8. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))((((^x.x)(a a))(a a))(((^y.y)(a a))(a a)))) 9. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))(((a a)(a a))(((^y.y)(a a))(a a)))) 10. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))(((a a)(a a))(((^x.x)(a a))(a a)))) 11. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 149239/16051356. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^x1.(a a))) REDUCED to normal form. ------ 149240/16051572. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 149241/16052328. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.a))) 3. ==[ beta ]==> ((b c)(^y.(^z.a))) 4. ==[ alpha ]==> ((b c)(^x.(^y.a))) REDUCED to normal form. ------ 149242/16052355. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.b))) REDUCED to normal form. ------ 149243/16052679. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 149244/16053120. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 149245/16053171. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ eta ]==> ((^y.(^z.z))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149246/16053345. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 149247/16053453. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.d)) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.d)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.d)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149248/16053570. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(z z)))) 5. ==[ beta ]==> (a (^y.(^z.(z z)))) 6. ==[ alpha ]==> (a (^x.(^y.(y y)))) REDUCED to normal form. ------ 149249/16053813. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(^x1.z))) REDUCED to normal form. ------ 149250/16053867. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(a (^z1.z1)))) REDUCED to normal form. ------ 149251/16053921. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 149252/16053975. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 149253/16053990. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))((a a)(^x1.x1))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 149254/16054011. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(^a.b)) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(^z.b)) 3. ==[ beta ]==> (((a a)(^y.y))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 149255/16054038. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.(z z))) REDUCED to normal form. ------ 149256/16054065. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(a a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(a a)))(^y.y)) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 149257/16054077. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)((a a)(a a)))) 3. ==[ beta ]==> ((a a)(a ((a a)(a a)))) REDUCED to normal form. ------ 149258/16054104. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))(b (^y.y)))) REDUCED to normal form. ------ 149259/16054131. ------ 1. ==[ start ]==> ((a b)((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a b)((a a)((^x.(^y.y)) a))) 3. ==[ beta ]==> ((a b)((a a)(^y.y))) 4. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 149260/16054149. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y (^z.z))))) REDUCED to normal form. ------ 149261/16054167. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.(^x1.x1)) a)(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 149262/16054221. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a))(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149263/16054230. ------ 1. ==[ start ]==> (((a a) b)((^c.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 149264/16054248. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) b)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) b)(^y.(y y))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 149265/16054257. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (a a))) REDUCED to normal form. ------ 149266/16054275. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 149267/16054284. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 149268/16054302. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((b a)(^z.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 149269/16054329. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(^z.b))) REDUCED to normal form. ------ 149270/16054365. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149271/16054437. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.(^z2.z2))))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(^y2.(^z2.z2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 149272/16054446. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 149273/16054473. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) b))) 4. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) b))) 5. ==[ beta ]==> ((a a)(((^y.y) b)((^y.y) b))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)((^y.y) b))) 7. ==[ beta ]==> ((a a)(b ((^y.y) b))) 8. ==[ alpha ]==> ((a a)(b ((^x.x) b))) 9. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 149274/16054500. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 149275/16054527. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(b (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 149276/16054554. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.(^y1.y1)) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.(^x1.x1)) a))) 5. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 149277/16054572. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 149278/16054662. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 149279/16054743. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 149280/16054770. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 149281/16054797. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 149282/16054824. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)(^d.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 149283/16054851. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 149284/16054878. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 149285/16054941. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (b (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (b (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (b (^y.y)))) REDUCED to normal form. ------ 149286/16054968. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a ((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (a (^y.y)))(a ((^z.(^x1.x1)) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a ((^y.(^z.z)) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 149287/16054995. ------ 1. ==[ start ]==> (((a (a a))(a a))((b (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a a))((b (^x.x))(a a))) REDUCED to normal form. ------ 149288/16055022. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(a (^y.y)))) REDUCED to normal form. ------ 149289/16055031. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149290/16055319. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((a a)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 149291/16055346. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(b (^y.y)))) REDUCED to normal form. ------ 149292/16055490. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 149293/16055544. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a))(^x1.b))) 5. ==[ beta ]==> (a (((^z.z)(a a))(^x1.b))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(^y.b))) 7. ==[ beta ]==> (a ((a a)(^y.b))) 8. ==[ alpha ]==> (a ((a a)(^x.b))) REDUCED to normal form. ------ 149294/16055580. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> (b ((^y.b)((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((^x.b)((^y.y)(a a)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 149295/16055652. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (a a))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 149296/16055661. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (^y1.(^z1.z1)))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.(^x2.x2))))) REDUCED to normal form. ------ 149297/16055688. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 149298/16055715. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 149299/16055742. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(b (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(b (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(b (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(b (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(b (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149300/16055787. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(a a)) b)) REDUCED to normal form. ------ 149301/16055958. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(a a)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 149302/16056165. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a)) b)) 3. ==[ beta ]==> ((a b)((^y.(a a)) b)) 4. ==[ alpha ]==> ((a b)((^x.(a a)) b)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 149303/16056192. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z) c)) 3. ==[ beta ]==> ((^y.y)((^z.z) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 149304/16056372. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a)(a b))((a a)(^y.y))) 6. ==[ alpha ]==> (((a a)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 149305/16056399. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (a a))(b a))) REDUCED to normal form. ------ 149306/16056426. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (^x.x))(a (a (^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a (^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 149307/16056453. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^x.x)) b)) REDUCED to normal form. ------ 149308/16056480. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)((a a)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((a a)((a a)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((a a)((a a)(a a)))) 7. ==[ beta ]==> (a ((a a)((a a)(a a)))) REDUCED to normal form. ------ 149309/16056525. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(a a))(a a))) 3. ==[ beta ]==> (b ((^y.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 149310/16056570. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149311/16056597. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(y y)))) 5. ==[ beta ]==> ((b a)(^y.(y y))) 6. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 149312/16056651. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 9. ==[ beta ]==> ((a a)(^y.a)) 10. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 149313/16056732. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 149314/16056741. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 149315/16056768. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))(b a))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(b a))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(b a))) 5. ==[ beta ]==> (((a a) a)((b a)(b a))) REDUCED to normal form. ------ 149316/16056786. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(a (^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 149317/16056795. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 149318/16056813. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 149319/16056822. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 149320/16056867. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a)(a a)) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a)(a a)) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(a a)) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(a a)) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(a a)) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a)) a)) 9. ==[ beta ]==> ((^y.y)(((a a)(a a)) a)) 10. ==[ alpha ]==> ((^x.x)(((a a)(a a)) a)) 11. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 149321/16056876. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 149322/16056903. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149323/16056930. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 149324/16057173. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149325/16057182. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b ((^y.y) b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(b b)) REDUCED to normal form. ------ 149326/16057209. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(a ((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(a ((a a)(a a)))) REDUCED to normal form. ------ 149327/16057236. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(b (a a))) REDUCED to normal form. ------ 149328/16057272. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.(^z1.z1))) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) c)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) c) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) c) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149329/16057524. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (^z.z))) REDUCED to normal form. ------ 149330/16057551. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.b))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.(a a)))) REDUCED to normal form. ------ 149331/16057569. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) b)(^y.y))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(b (^y.y))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.x))) REDUCED to normal form. ------ 149332/16057605. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149333/16057650. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 149334/16057659. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 149335/16057686. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 149336/16057713. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 149337/16058469. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (^d.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c (^z.a))) 3. ==[ beta ]==> (((a a)(^y.a))(c (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(c (^y.a))) REDUCED to normal form. ------ 149338/16058496. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 149339/16058541. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.(^y1.y1)))(^z1.z1))) REDUCED to normal form. ------ 149340/16058820. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149341/16058838. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149342/16059117. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 149343/16059135. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 149344/16059360. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 149345/16059414. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 149346/16059432. ------ 1. ==[ start ]==> ((a (^b.b))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 149347/16059756. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a)) c)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) c)) 5. ==[ beta ]==> (((^y.y)(a a)) c) 6. ==[ alpha ]==> (((^x.x)(a a)) c) 7. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 149348/16060026. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(a a)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(a a)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149349/16060197. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))(b (^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149350/16060242. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 149351/16060251. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 149352/16060278. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 149353/16060305. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 149354/16060350. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149355/16060359. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 149356/16060386. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((b (^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 149357/16060692. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (a a))) REDUCED to normal form. ------ 149358/16060719. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(a ((a a)(^y.y)))) 3. ==[ beta ]==> ((b (a a))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> ((b (a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 149359/16060746. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x)(a a))(a a))) 3. ==[ beta ]==> ((a ((a a)(a a)))((a a)(a a))) REDUCED to normal form. ------ 149360/16060782. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b) c)) 3. ==[ beta ]==> ((^y.y)((^x1.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 149361/16061025. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((a a) a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149362/16061061. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 149363/16061088. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(a a)) a)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((((a a)(a a)) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 10. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 149364/16061133. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 149365/16061142. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 149366/16061169. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(a a))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a a))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 149367/16061187. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((b a)(b a))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x)(a a)) a)) 5. ==[ beta ]==> (((b a)(b a))((a a) a)) REDUCED to normal form. ------ 149368/16061250. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 149369/16061277. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 149370/16061331. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 149371/16061385. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(a a))) REDUCED to normal form. ------ 149372/16061475. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a)((a a)(a a)))((^y.y) a)) 6. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x) a)) 7. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 149373/16061502. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 149374/16061529. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.x1))) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 149375/16061556. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 149376/16061583. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a a)(a b))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a a)(a b))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(a b))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(a b))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(a b))) REDUCED to normal form. ------ 149377/16061997. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.b) a)) 3. ==[ beta ]==> (b ((^z.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 149378/16062141. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(b (^y.a))) 3. ==[ beta ]==> ((b c)(b (^y.a))) 4. ==[ alpha ]==> ((b c)(b (^x.a))) REDUCED to normal form. ------ 149379/16062168. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(a (^x.b))) REDUCED to normal form. ------ 149380/16062213. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 149381/16062240. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 149382/16062276. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 149383/16062294. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) REDUCED to normal form. ------ 149384/16062303. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 149385/16062375. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 149386/16062384. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 149387/16062411. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.b))((^z.a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 149388/16062609. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 149389/16062636. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 149390/16062906. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))(b (a (a a)))) 3. ==[ beta ]==> ((b ((^y.y) a))(b (a (a a)))) 4. ==[ alpha ]==> ((b ((^x.x) a))(b (a (a a)))) 5. ==[ beta ]==> ((b a)(b (a (a a)))) REDUCED to normal form. ------ 149391/16062933. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 149392/16062987. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(a (a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 149393/16063077. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a))(^z.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.z))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 149394/16063158. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 149395/16063383. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)(a (^z.(z z)))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.(y y)))) 5. ==[ beta ]==> (a (a (^y.(y y)))) 6. ==[ alpha ]==> (a (a (^x.(x x)))) REDUCED to normal form. ------ 149396/16063401. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 7. ==[ beta ]==> (((^y.y) a)(^z.z)) 8. ==[ alpha ]==> (((^x.x) a)(^y.y)) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 149397/16063428. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 149398/16063482. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(((^z.z) a) a)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(((^z.z) a) a)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(((^z.z) a) a)) 5. ==[ beta ]==> ((b ((^y.y) b))(((^z.z) a) a)) 6. ==[ alpha ]==> ((b ((^x.x) b))(((^y.y) a) a)) 7. ==[ beta ]==> ((b b)(((^y.y) a) a)) 8. ==[ alpha ]==> ((b b)(((^x.x) a) a)) 9. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 149399/16063491. ------ 1. ==[ start ]==> (((a (a a))(^b.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 149400/16063518. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149401/16063563. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 149402/16063572. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 149403/16063599. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(a a)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 149404/16063626. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(a (^z.a))) REDUCED to normal form. ------ 149405/16063671. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((a a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149406/16063680. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.y1))) REDUCED to normal form. ------ 149407/16063707. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((b (^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((b (^x.(x x)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((b (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 149408/16063734. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 149409/16063788. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 149410/16063806. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))((a a)(^z.z))) REDUCED to normal form. ------ 149411/16063824. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(a b)) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(a b)) 3. ==[ beta ]==> (((a a)(^y.y))(a b)) 4. ==[ alpha ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 149412/16063851. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(a (a a))) REDUCED to normal form. ------ 149413/16063878. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(a a)))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(a a)))(a a)) 3. ==[ beta ]==> ((a ((a a)(a a)))(a a)) REDUCED to normal form. ------ 149414/16068642. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^x1.(a (^y1.(^z1.z1))))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(a (^y.(^z.z))))(^x1.(^y1.y1))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 149415/16073694. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(a a))) b) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(a a))) b) 3. ==[ beta ]==> ((a ((a a)(a a))) b) REDUCED to normal form. ------ 149416/16073718. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((a a)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149417/16074033. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)((a a)(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((^z.b)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 149418/16074303. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^y.y)(^z.(z z)))((^y.y)(^z.(z z))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.(x1 x1)))((^y1.y1)(^z1.(z1 z1))))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.(x1 x1)))((^y1.y1)(^z1.(z1 z1))))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.(z z)))((^x1.x1)(^y1.(y1 y1))))) 7. ==[ beta ]==> ((((^y.y)(^z.(z z)))((^x1.x1)(^y1.(y1 y1))))(((^y.y)(^z.(z z)))((^x1.x1)(^y1.(y1 y1))))) 8. ==[ alpha ]==> ((((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1))))(((^y1.y1)(^z1.(z1 z1)))((^x2.x2)(^y2.(y2 y2))))) 9. ==[ beta ]==> (((^y.(y y))((^z.z)(^x1.(x1 x1))))(((^y1.y1)(^z1.(z1 z1)))((^x2.x2)(^y2.(y2 y2))))) 10. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.(z z))))(((^x1.x1)(^y1.(y1 y1)))((^z1.z1)(^x2.(x2 x2))))) 11. ==[ beta ]==> ((((^y.y)(^z.(z z)))((^y.y)(^z.(z z))))(((^x1.x1)(^y1.(y1 y1)))((^z1.z1)(^x2.(x2 x2))))) 12. ==[ alpha ]==> ((((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1))))(((^y1.y1)(^z1.(z1 z1)))((^x2.x2)(^y2.(y2 y2))))) IRREDUCIBLE: cycle. ------ 149419/16075086. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((((^y.y)((^z.z) a))((^y.y)((^z.z) a)))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x)((^y.y) a))((^z.z)((^x1.x1) a)))((^y1.y1)((^z1.z1) a))) 5. ==[ beta ]==> ((((^y.y) a)((^z.z)((^x1.x1) a)))((^y1.y1)((^z1.z1) a))) 6. ==[ alpha ]==> ((((^x.x) a)((^y.y)((^z.z) a)))((^x1.x1)((^y1.y1) a))) 7. ==[ beta ]==> ((a ((^y.y)((^z.z) a)))((^x1.x1)((^y1.y1) a))) 8. ==[ alpha ]==> ((a ((^x.x)((^y.y) a)))((^z.z)((^x1.x1) a))) 9. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((^x1.x1) a))) 10. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)((^z.z) a))) 11. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 12. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 13. ==[ beta ]==> ((a a)((^y.y) a)) 14. ==[ alpha ]==> ((a a)((^x.x) a)) 15. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 149420/16075599. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((^y.b)(^z.(a a))) b) 4. ==[ alpha ]==> (((^x.b)(^y.(a a))) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 149421/16075773. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(b (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(b (^y.y)))) REDUCED to normal form. ------ 149422/16075986. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (^y.((((a a) a)((^z.z)(a a)))(((a a) a)((^z.z)(a a))))) 4. ==[ alpha ]==> (^x.((((a a) a)((^y.y)(a a)))(((a a) a)((^z.z)(a a))))) 5. ==[ beta ]==> (^x.((((a a) a)(a a))(((a a) a)((^z.z)(a a))))) 6. ==[ alpha ]==> (^x.((((a a) a)(a a))(((a a) a)((^y.y)(a a))))) 7. ==[ beta ]==> (^x.((((a a) a)(a a))(((a a) a)(a a)))) REDUCED to normal form. ------ 149423/16076193. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a (^x1.x1)))((^z.z)(a (^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a (^z.z)))((^x1.x1)(a (^y1.y1))))) 5. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))((^z.z)(a (^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 9. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 149424/16076844. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 149425/16077519. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.((^y.y) x))) 3. ==[ eta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 149426/16077624. ------ 1. ==[ start ]==> ((^a.(b a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149427/16078461. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^x1.x1)(a (^y1.(^z1.z1))))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 149428/16078464. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 149429/16078770. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 149430/16079379. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 149431/16080111. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((a (b a))(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (b a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 149432/16080354. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 149433/16081245. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 149434/16081434. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(a x))) 3. ==[ eta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 149435/16081458. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149436/16081632. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(z b))) 3. ==[ beta ]==> (b (^z.(z b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 149437/16082298. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.z))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.y))) 5. ==[ beta ]==> ((a b)(^y.(^z.y))) 6. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 149438/16082433. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a b))(^x.(^z.z))) 6. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 149439/16082568. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 149440/16082793. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(^d.d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (b (^x1.x1)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149441/16083198. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.b)((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149442/16083261. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^b.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.c)) REDUCED to normal form. ------ 149443/16083315. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 149444/16083369. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(^c.b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(^y.b)) REDUCED to normal form. ------ 149445/16083423. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))(^b.b)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149446/16083438. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(b a)) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(b a)) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 149447/16083459. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))(^b.(a a))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))(^z.(a a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 149448/16083486. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 149449/16083513. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(a a)))(^y.(^z.z))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.y))) REDUCED to normal form. ------ 149450/16083543. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.x))(a ((a a)(a a)))) REDUCED to normal form. ------ 149451/16083570. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 149452/16083597. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a a)((^y.(^z.z)) a))) 3. ==[ beta ]==> ((a a)((a a)((^y.(^z.z)) a))) 4. ==[ alpha ]==> ((a a)((a a)((^x.(^y.y)) a))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 149453/16083633. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.(^z.z)) a)(^x1.x1))) 3. ==[ beta ]==> (b (((^y.(^z.z)) a)(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.(^y.y)) a)(^z.z))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149454/16083660. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((b (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 149455/16083687. ------ 1. ==[ start ]==> (((a a) b)(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a) b)(((a a)(a a))(^x.a))) REDUCED to normal form. ------ 149456/16083714. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(y y)))) REDUCED to normal form. ------ 149457/16083741. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 149458/16083768. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(^z.a))) REDUCED to normal form. ------ 149459/16083822. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(a a))) 7. ==[ beta ]==> ((a a)(^y.(a a))) 8. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 149460/16083831. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 149461/16083858. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.b)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.b)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 149462/16083903. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 149463/16083930. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (a a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (a a))(^y.y))) 3. ==[ beta ]==> ((a a)((a (a a))(^y.y))) 4. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 149464/16083957. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 149465/16084128. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(y y))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(x x))) REDUCED to normal form. ------ 149466/16084371. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 149467/16084488. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a))(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149468/16084515. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) b)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) b)((^y.y) a)) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 149469/16084569. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((b a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((b a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((b a)(^y.y)) 10. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 149470/16084623. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a b))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a b))) 7. ==[ beta ]==> (((^y.y)(a a))(a b)) 8. ==[ alpha ]==> (((^x.x)(a a))(a b)) 9. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 149471/16084650. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 149472/16084704. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(b a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(b a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(b a))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b a)) REDUCED to normal form. ------ 149473/16084911. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y) a)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x) a)) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 149474/16085037. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((a b)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(^y.(a a)))) 5. ==[ beta ]==> (b ((a b)(^y.(a a)))) 6. ==[ alpha ]==> (b ((a b)(^x.(a a)))) REDUCED to normal form. ------ 149475/16085118. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 149476/16085145. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 149477/16085172. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 149478/16085226. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((b (^y.y)) a)) REDUCED to normal form. ------ 149479/16085289. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 149480/16085316. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 149481/16085397. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a))(^y.b))) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 149482/16085424. ------ 1. ==[ start ]==> ((a (a b))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.b)(^y.(a a)))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 149483/16085595. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (b (^z.z)))) 3. ==[ beta ]==> (b (a (b (^z.z)))) 4. ==[ alpha ]==> (b (a (b (^x.x)))) REDUCED to normal form. ------ 149484/16085622. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((a b)(((a a)(a a))(a a))) REDUCED to normal form. ------ 149485/16085631. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 149486/16085649. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 149487/16085703. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((b a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((b a)(a (a a)))) REDUCED to normal form. ------ 149488/16085784. ------ 1. ==[ start ]==> (((^a.b)(a a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.b)(a a))((a b)(a b))) 3. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 149489/16085811. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 149490/16085937. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(b (^z.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(b (^y.(a a)))) 7. ==[ beta ]==> (a (b (^y.(a a)))) 8. ==[ alpha ]==> (a (b (^x.(a a)))) REDUCED to normal form. ------ 149491/16085982. ------ 1. ==[ start ]==> (((^a.b) b)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)(((a a)(a a))(^y.y))) 3. ==[ beta ]==> (b (((a a)(a a))(^y.y))) 4. ==[ alpha ]==> (b (((a a)(a a))(^x.x))) REDUCED to normal form. ------ 149492/16085991. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a))(a a))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 149493/16086018. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 149494/16086198. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 149495/16086252. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 149496/16086279. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 149497/16086333. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(a a)) a)) REDUCED to normal form. ------ 149498/16086360. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) b) b)) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) b) b)) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) b) b)) 7. ==[ beta ]==> ((((^y.y) b) b)(((^y.y) b) b)) 8. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) b) b)) 9. ==[ beta ]==> ((b b)(((^y.y) b) b)) 10. ==[ alpha ]==> ((b b)(((^x.x) b) b)) 11. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 149499/16086387. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.(^z.z))) c)) REDUCED to normal form. ------ 149500/16086477. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 149501/16086504. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 149502/16086558. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 149503/16086612. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 149504/16086639. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 149505/16086729. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 149506/16086864. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)(a b))) 3. ==[ beta ]==> (b (((a a) a)(a b))) REDUCED to normal form. ------ 149507/16086945. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(b a))) 5. ==[ beta ]==> (((a a)(^x.x))(a (b a))) REDUCED to normal form. ------ 149508/16086972. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 149509/16087062. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149510/16087089. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((b a)(^y.a))) REDUCED to normal form. ------ 149511/16087116. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 149512/16087143. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 149513/16087170. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b)(^z.a))) REDUCED to normal form. ------ 149514/16087233. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 149515/16087260. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a b))((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a b))(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 149516/16087287. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a)(b a))) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 149517/16087314. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 9. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149518/16087341. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)((^y.y) b))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.y) b)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x) b)) 5. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 149519/16087368. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b) a)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 149520/16087395. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 149521/16087449. ------ 1. ==[ start ]==> ((a (b a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 149522/16087620. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c (b a))) 3. ==[ beta ]==> (b (c (b a))) REDUCED to normal form. ------ 149523/16087683. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 149524/16087728. ------ 1. ==[ start ]==> (((^a.a)(b a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((b a)(a (^y.y)))) 3. ==[ beta ]==> ((b a)((b a)(a (^y.y)))) 4. ==[ alpha ]==> ((b a)((b a)(a (^x.x)))) REDUCED to normal form. ------ 149525/16087755. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 149526/16087809. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b)(a b))((a b)(^y.y))) 6. ==[ alpha ]==> (((a b)(a b))((a b)(^x.x))) REDUCED to normal form. ------ 149527/16087890. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (b ((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 149528/16088016. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a a)(b a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 149529/16088097. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 149530/16088124. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.b)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 149531/16088178. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 149532/16088205. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y)(a a)))) 9. ==[ beta ]==> (((a a) a)((a a)((^y.y)(a a)))) 10. ==[ alpha ]==> (((a a) a)((a a)((^x.x)(a a)))) 11. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 149533/16088232. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 149534/16088277. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149535/16088286. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 149536/16088565. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b (b a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (b a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149537/16088592. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 149538/16088601. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 149539/16088619. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 149540/16088673. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a))((^z.z) a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^z.z) a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y) a))) 9. ==[ beta ]==> (((a a)(a a))((a a)((^y.y) a))) 10. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x) a))) 11. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 149541/16088754. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (b ((^y.y)((a a) a))) 6. ==[ alpha ]==> (b ((^x.x)((a a) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 149542/16088862. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a a)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149543/16088934. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 149544/16088961. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 149545/16088988. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.b)(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(a (a a)))) 5. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 149546/16089015. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 149547/16089042. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 149548/16089069. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(a b))) 5. ==[ beta ]==> (((a b)(^x.x))((a b)(a b))) REDUCED to normal form. ------ 149549/16089096. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 149550/16089123. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 149551/16089168. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((b a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((b a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((b a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149552/16089204. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 149553/16089375. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (b (c ((^z.z)(a a)))) 4. ==[ alpha ]==> (b (c ((^x.x)(a a)))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 149554/16089483. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1)(a a))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(a a))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149555/16089492. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(a a)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 149556/16089537. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(a (a a)))) 5. ==[ beta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 149557/16089564. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149558/16089618. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (a b))) REDUCED to normal form. ------ 149559/16089708. ------ 1. ==[ start ]==> (((a b)(^c.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 149560/16089735. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 149561/16089762. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a b)(^z.a))) REDUCED to normal form. ------ 149562/16089816. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.(^x2.x2))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.z1))) REDUCED to normal form. ------ 149563/16089843. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (a a))(^z.a))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 149564/16089879. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)(a b))) 3. ==[ beta ]==> (((a a) b)((^y.a)(a b))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(a b))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 149565/16089906. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 149566/16089933. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (b a))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (b a))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (b a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (b a))((a a)(^x.x))) REDUCED to normal form. ------ 149567/16089987. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.(a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 149568/16090014. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.b)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a b)) b) REDUCED to normal form. ------ 149569/16090041. ------ 1. ==[ start ]==> (((a b)((a a) a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 149570/16090068. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 149571/16090149. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 149572/16090176. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((b (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((b (a a))(^x.(^y.y))) REDUCED to normal form. ------ 149573/16090239. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 149574/16090374. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(a b))) 3. ==[ beta ]==> (b ((a (^z.z))(a b))) 4. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 149575/16090518. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b b)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((b b)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((b b)(^y.(y y))) 8. ==[ alpha ]==> ((b b)(^x.(x x))) REDUCED to normal form. ------ 149576/16090545. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 149577/16090599. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 149578/16090626. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a a)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a a)(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.(a a)))) REDUCED to normal form. ------ 149579/16090707. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((a a) a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((a a) a) c)) REDUCED to normal form. ------ 149580/16090833. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(b (a b))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149581/16090869. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(a a)) a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(a a)) a)) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 149582/16090896. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.b) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.b) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) b) REDUCED to normal form. ------ 149583/16091013. ------ 1. ==[ start ]==> (((a (a a))(b a))(c (^c.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(c (^x.a))) REDUCED to normal form. ------ 149584/16091040. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b (^x1.b))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.b))) 5. ==[ beta ]==> (((a a)(^y.y))(b (^z.b))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.b))) REDUCED to normal form. ------ 149585/16091067. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a (^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 149586/16091094. ------ 1. ==[ start ]==> (((a b)(a b))((^a.b)(a a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.b)(a a))) 3. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 149587/16091148. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 149588/16091202. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 149589/16091229. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 149590/16091256. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)(a b))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(a b)) REDUCED to normal form. ------ 149591/16091283. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a (b (^x.x))) b) REDUCED to normal form. ------ 149592/16091454. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 149593/16091562. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1) a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149594/16091733. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 149595/16091760. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 149596/16091841. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.(a a)))((^z.z) b)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y) b)) 5. ==[ beta ]==> (((a b)(^x.(a a))) b) REDUCED to normal form. ------ 149597/16091868. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (a a)) c)) 3. ==[ beta ]==> (((a a)(^y.b))((a (a a)) c)) 4. ==[ alpha ]==> (((a a)(^x.b))((a (a a)) c)) REDUCED to normal form. ------ 149598/16091940. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149599/16091976. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.a) a)) 3. ==[ beta ]==> ((b (^y.a))((^z.a) a)) 4. ==[ alpha ]==> ((b (^x.a))((^y.a) a)) 5. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 149600/16092003. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 149601/16092066. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(c (^y.(y y)))) REDUCED to normal form. ------ 149602/16092093. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 149603/16092120. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(a (^z.a))) 3. ==[ beta ]==> ((a ((^y.y) b))(a (^z.a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.a))) 5. ==[ beta ]==> ((a b)(a (^y.a))) 6. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 149604/16092147. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 149605/16092174. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((b a)((^y.(y y))(a (^z.z)))) 6. ==[ alpha ]==> ((b a)((^x.(x x))(a (^y.y)))) 7. ==[ beta ]==> ((b a)((a (^y.y))(a (^y.y)))) 8. ==[ alpha ]==> ((b a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 149606/16092201. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x))) a) REDUCED to normal form. ------ 149607/16092228. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 149608/16092255. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)(a b))(^y.y)) 8. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 149609/16092282. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 149610/16092336. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (a a))) a) REDUCED to normal form. ------ 149611/16092363. ------ 1. ==[ start ]==> ((((^a.a) b)((^a.a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b ((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b ((^x.x) a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 149612/16092390. ------ 1. ==[ start ]==> ((((a a)(a a))(a (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 149613/16092615. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))(b d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b d)) 3. ==[ beta ]==> (b (b d)) REDUCED to normal form. ------ 149614/16092723. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b ((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149615/16092885. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))(c b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))(c b)) 3. ==[ beta ]==> ((^y.y)(c b)) 4. ==[ alpha ]==> ((^x.x)(c b)) 5. ==[ beta ]==> (c b) REDUCED to normal form. ------ 149616/16092948. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a) a)) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 149617/16092975. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((a (^z1.z1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1)) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1)) b)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1)) b)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149618/16093020. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (b (a ((^z.z) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 149619/16093029. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 149620/16093056. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.(a a)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 149621/16093083. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((^a.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((^z.z) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.b)) c) REDUCED to normal form. ------ 149622/16093128. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))(b b)) 3. ==[ beta ]==> ((^y.(^z.z))(b b)) 4. ==[ alpha ]==> ((^x.(^y.y))(b b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149623/16093137. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 149624/16093164. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))((a (^z.z)) a)) 3. ==[ beta ]==> ((b (^y.(y y)))((a (^z.z)) a)) 4. ==[ alpha ]==> ((b (^x.(x x)))((a (^y.y)) a)) REDUCED to normal form. ------ 149625/16093191. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))((a a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))((a a) b)) REDUCED to normal form. ------ 149626/16093245. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) b)) 5. ==[ beta ]==> ((^y.y)((^z.z) b)) 6. ==[ alpha ]==> ((^x.x)((^y.y) b)) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 149627/16093263. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(b a)) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(b a)) REDUCED to normal form. ------ 149628/16093281. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 149629/16093308. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(b (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.z)) REDUCED to normal form. ------ 149630/16093335. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(a a)))(a (^y.y))) 3. ==[ beta ]==> ((a ((a a)(a a)))(a (^y.y))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(a (^x.x))) REDUCED to normal form. ------ 149631/16093446. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(y1 (^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149632/16093851. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 149633/16097820. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 149634/16098711. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149635/16103085. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 149636/16103274. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.(x1 (^y1.y1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149637/16103277. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(x1 (^y1.y1))))) REDUCED to normal form. ------ 149638/16103319. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((b (^z.z))(^x1.(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> (((b (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 149639/16103508. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)(^z.(^x1.x1)))) 3. ==[ eta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 149640/16103679. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)((^x1.(^y1.y1)) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 149641/16103682. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 149642/16104003. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149643/16104096. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.((^z.(^x1.x1)) y))) 3. ==[ eta ]==> (((^x.(x x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.z))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 149644/16104561. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (((((^y.y) b)(^z.a))(((^y.y) b)(^z.a)))(((^y.y) b)(^z.a))) 4. ==[ alpha ]==> (((((^x.x) b)(^y.a))(((^z.z) b)(^x1.a)))(((^y1.y1) b)(^z1.a))) 5. ==[ beta ]==> (((b (^y.a))(((^z.z) b)(^x1.a)))(((^y1.y1) b)(^z1.a))) 6. ==[ alpha ]==> (((b (^x.a))(((^y.y) b)(^z.a)))(((^x1.x1) b)(^y1.a))) 7. ==[ beta ]==> (((b (^x.a))(b (^z.a)))(((^x1.x1) b)(^y1.a))) 8. ==[ alpha ]==> (((b (^x.a))(b (^y.a)))(((^z.z) b)(^x1.a))) 9. ==[ beta ]==> (((b (^x.a))(b (^y.a)))(b (^x1.a))) 10. ==[ alpha ]==> (((b (^x.a))(b (^y.a)))(b (^z.a))) REDUCED to normal form. ------ 149645/16105257. ------ 1. ==[ start ]==> (((a b) a)(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 149646/16105668. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z) b)(^x1.(^y1.y1)))(((^z.z) b)(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) b)(^z.(^x1.x1)))(((^y1.y1) b)(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((((^y.y) b)(^z.(^x1.x1)))(((^y1.y1) b)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((b (^x.(^y.y)))(b (^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 149647/16105977. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((a a)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((a a)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((a a)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((a a)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a)(a a)))) 9. ==[ beta ]==> ((^y.y)(^z.((a a)(a a)))) 10. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 11. ==[ beta ]==> (^y.((a a)(a a))) 12. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 149648/16106661. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.b))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z) b))) 5. ==[ beta ]==> ((a (^x.b))(^y.b)) REDUCED to normal form. ------ 149649/16107336. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.((^z.z) b))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^y.b)) REDUCED to normal form. ------ 149650/16107648. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (^y1.y1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 149651/16107651. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 149652/16107936. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x1.(^y1.(^z1.z1))))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 149653/16107948. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149654/16108245. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 149655/16108254. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(x1 (^y1.(^z1.z1))))) REDUCED to normal form. ------ 149656/16108539. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149657/16108542. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 149658/16108854. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 149659/16109334. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 149660/16109586. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 149661/16110297. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((b a)(b a))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((b a)(b a))(^x.(a a))) REDUCED to normal form. ------ 149662/16110522. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 149663/16110933. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a b) a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a b) a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149664/16111107. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 149665/16111278. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.((a a) a))) REDUCED to normal form. ------ 149666/16111629. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.((z z) z))) 3. ==[ beta ]==> ((b (^y.a))(^z.((z z) z))) 4. ==[ alpha ]==> ((b (^x.a))(^y.((y y) y))) REDUCED to normal form. ------ 149667/16111908. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 149668/16112094. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((^x1.(x1 x1)) b)) 3. ==[ eta ]==> ((^y.(^z.z))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149669/16112187. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 149670/16112511. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 7. ==[ beta ]==> (^y.(^z.(z z))) 8. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 149671/16112592. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.((^x1.x1) a))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.((^z.z) a))) 7. ==[ beta ]==> ((b b)(^y.((^z.z) a))) 8. ==[ alpha ]==> ((b b)(^x.((^y.y) a))) 9. ==[ beta ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 149672/16112673. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 149673/16112682. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 149674/16112736. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 149675/16112817. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.c)) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.c)) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.c)) REDUCED to normal form. ------ 149676/16112913. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 149677/16112916. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 149678/16112961. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^c.a)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.a)) REDUCED to normal form. ------ 149679/16112988. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(a a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(a a)))(^y.a)) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.a)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.a)) REDUCED to normal form. ------ 149680/16113036. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((a a)(a a)))) 3. ==[ beta ]==> (a (((^y.y) a)((a a)(a a)))) 4. ==[ alpha ]==> (a (((^x.x) a)((a a)(a a)))) 5. ==[ beta ]==> (a (a ((a a)(a a)))) REDUCED to normal form. ------ 149681/16113063. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))(b (^y.y)))) REDUCED to normal form. ------ 149682/16113090. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.(^z.z)) a))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 149683/16113108. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(z (^x1.x1))))) REDUCED to normal form. ------ 149684/16113126. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.(^a.a)) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.(^y.y)) a)(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 149685/16113153. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((b (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 149686/16113216. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 149687/16113243. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149688/16113288. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y))(^z.b))) REDUCED to normal form. ------ 149689/16113315. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 149690/16113342. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 149691/16113351. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((^z.b)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.b)((a a)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 149692/16113432. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((^z.z) b))) 5. ==[ beta ]==> (a ((^y.(y y))((^z.z) b))) 6. ==[ alpha ]==> (a ((^x.(x x))((^y.y) b))) 7. ==[ beta ]==> (a (((^y.y) b)((^y.y) b))) 8. ==[ alpha ]==> (a (((^x.x) b)((^y.y) b))) 9. ==[ beta ]==> (a (b ((^y.y) b))) 10. ==[ alpha ]==> (a (b ((^x.x) b))) 11. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 149693/16113459. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(a a)))) 5. ==[ beta ]==> ((^y.a)((a a)(a a))) 6. ==[ alpha ]==> ((^x.a)((a a)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 149694/16113513. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)((^a.(^a.a)) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.(^x1.x1)) a))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 149695/16113531. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.(^a.a)) a) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.(^z.z)) a) a)) 3. ==[ beta ]==> (((a a) a)(((^y.(^z.z)) a) a)) 4. ==[ alpha ]==> (((a a) a)(((^x.(^y.y)) a) a)) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 149696/16113558. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b (^z.z)) b)) REDUCED to normal form. ------ 149697/16113621. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(^z.(z z)))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 149698/16113648. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149699/16113729. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 149700/16113756. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 149701/16113810. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 149702/16113837. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 149703/16113927. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a ((^y.(^z.z)) a))) 3. ==[ beta ]==> ((b b)(a ((^y.(^z.z)) a))) 4. ==[ alpha ]==> ((b b)(a ((^x.(^y.y)) a))) 5. ==[ beta ]==> ((b b)(a (^y.y))) 6. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 149704/16114062. ------ 1. ==[ start ]==> (((a (a a)) b)((b a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((b a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) b)((b a)(^y.y))) 4. ==[ alpha ]==> (((a (a a)) b)((b a)(^x.x))) REDUCED to normal form. ------ 149705/16114089. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(^z.z))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))((a a) a))) 5. ==[ beta ]==> (a (((a a)(^y.y))((a a) a))) 6. ==[ alpha ]==> (a (((a a)(^x.x))((a a) a))) REDUCED to normal form. ------ 149706/16114116. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 149707/16114143. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a b)(a a))) REDUCED to normal form. ------ 149708/16114170. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.a))(((a a) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a)((a a)(^y.y)))) REDUCED to normal form. ------ 149709/16114197. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(b a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 149710/16114224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (a a))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)((a (a a))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 149711/16114341. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 149712/16114368. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(((a a)(a a))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 149713/16114395. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) b)(^y.a))) 3. ==[ beta ]==> ((a ((a a) a))(b (^y.a))) 4. ==[ alpha ]==> ((a ((a a) a))(b (^x.a))) REDUCED to normal form. ------ 149714/16114431. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149715/16114485. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 149716/16114593. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(b a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149717/16114647. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)((^x1.x1) b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)((^x1.x1) b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((^z.z) b))) 7. ==[ beta ]==> ((a a)((^y.a)((^z.z) b))) 8. ==[ alpha ]==> ((a a)((^x.a)((^y.y) b))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 149718/16114746. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a)(a a)) b)) REDUCED to normal form. ------ 149719/16114773. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) b) c)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) b) c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b) c)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b c)) REDUCED to normal form. ------ 149720/16114917. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 149721/16114998. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) IRREDUCIBLE: cycle. ------ 149722/16115061. ------ 1. ==[ start ]==> ((((a a) a) b)(b ((a a)(a a)))) REDUCED to normal form. ------ 149723/16115088. ------ 1. ==[ start ]==> (((a b) a)(a (b (^a.a)))) 2. ==[ alpha ]==> (((a b) a)(a (b (^x.x)))) REDUCED to normal form. ------ 149724/16115115. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(a a))(a a))) REDUCED to normal form. ------ 149725/16115169. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 149726/16115196. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((b a)(a (a a)))) REDUCED to normal form. ------ 149727/16115223. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 149728/16115250. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 149729/16115277. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b)(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))((a b)(a b))) REDUCED to normal form. ------ 149730/16115475. ------ 1. ==[ start ]==> (((a b)(a a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 149731/16115502. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 149732/16115511. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149733/16115538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149734/16115592. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149735/16115673. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 149736/16115727. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(b a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(b a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(b a))) 5. ==[ beta ]==> ((a a)((^y.(y y))(b a))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(b a))) 7. ==[ beta ]==> ((a a)((b a)(b a))) REDUCED to normal form. ------ 149737/16115754. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 149738/16115808. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)((a a)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((a a)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((a a)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((a a)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((a a)(a a)))) 9. ==[ beta ]==> ((^y.y)((^z.z)((a a)(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(a a)))) 11. ==[ beta ]==> ((^y.y)((a a)(a a))) 12. ==[ alpha ]==> ((^x.x)((a a)(a a))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 149739/16115889. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 149740/16116114. ------ 1. ==[ start ]==> (((^a.b) c)(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)(c (a (^y.(^z.z))))) 3. ==[ beta ]==> (b (c (a (^y.(^z.z))))) 4. ==[ alpha ]==> (b (c (a (^x.(^y.y))))) REDUCED to normal form. ------ 149741/16116357. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)(a b))) REDUCED to normal form. ------ 149742/16116384. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) b)((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) b)((^y.y)(a a))) 8. ==[ alpha ]==> (((a a) b)((^x.x)(a a))) 9. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 149743/16116411. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 149744/16116465. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 149745/16116492. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)((^z.z) b))) 3. ==[ beta ]==> ((a (^y.b))((a a)((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.b))((a a)((^y.y) b))) 5. ==[ beta ]==> ((a (^x.b))((a a) b)) REDUCED to normal form. ------ 149746/16116690. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a) a)(^y.b))) REDUCED to normal form. ------ 149747/16116717. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a a))(^z.(a a))) 8. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(a a))) REDUCED to normal form. ------ 149748/16116744. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 149749/16116798. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.(^y1.y1))))) 9. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 149750/16116825. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 149751/16116852. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) b) a)) 3. ==[ beta ]==> (((a b) a)(((^y.y) b) a)) 4. ==[ alpha ]==> (((a b) a)(((^x.x) b) a)) 5. ==[ beta ]==> (((a b) a)(b a)) REDUCED to normal form. ------ 149752/16116879. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 149753/16116906. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((b a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((b a) c)) REDUCED to normal form. ------ 149754/16117023. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.b))) 5. ==[ beta ]==> (b ((^z.a)(^x1.b))) 6. ==[ alpha ]==> (b ((^x.a)(^y.b))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 149755/16117167. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a ((^a.a) b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a ((^y.y) b))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a b)) REDUCED to normal form. ------ 149756/16117275. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 149757/16117302. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a b)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((a b)(^y.y))) REDUCED to normal form. ------ 149758/16117356. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(a b))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a b))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 149759/16117383. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a (a a))(a a))) REDUCED to normal form. ------ 149760/16117410. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 149761/16117437. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(b a))) REDUCED to normal form. ------ 149762/16117482. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 149763/16117500. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 149764/16117527. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 149765/16117554. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.a))) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 149766/16117581. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a b))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a b))((a a)(^x.(x x)))) REDUCED to normal form. ------ 149767/16117608. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 149768/16117662. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a b)(a (a a)))(^y.b)) 6. ==[ alpha ]==> (((a b)(a (a a)))(^x.b)) REDUCED to normal form. ------ 149769/16117689. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(^y.(a a)))) 6. ==[ alpha ]==> (((a a) a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 149770/16117770. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 149771/16117779. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149772/16117860. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 149773/16117941. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 149774/16118058. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b (b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (b a))) REDUCED to normal form. ------ 149775/16118076. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 149776/16118085. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 149777/16118166. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 149778/16118193. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)((a b)(a (a a)))) 6. ==[ alpha ]==> ((^x.b)((a b)(a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 149779/16118247. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 149780/16118274. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (a a))(a b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (a a))(a b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(a b))) REDUCED to normal form. ------ 149781/16118301. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (a a))) REDUCED to normal form. ------ 149782/16118355. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(b a))) REDUCED to normal form. ------ 149783/16118373. ------ 1. ==[ start ]==> ((a (^b.b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 149784/16118391. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((b a)(^z.z))) REDUCED to normal form. ------ 149785/16118418. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 149786/16118445. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(^z.a))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 149787/16118472. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a b)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a a))((a b)(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 149788/16118499. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 149789/16118553. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (a a))(^z.b))) 3. ==[ beta ]==> (((a b)(^y.y))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.b))) REDUCED to normal form. ------ 149790/16118580. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))(a (^y.(a a)))) 6. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.(a a)))) REDUCED to normal form. ------ 149791/16118661. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((b a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((b a) a)) REDUCED to normal form. ------ 149792/16118688. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))(((a a)(^y.y)) b)) 3. ==[ beta ]==> ((a b)(((a a)(^y.y)) b)) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 149793/16118697. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149794/16118724. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(a a))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^z1.(a a))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149795/16118859. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 149796/16118976. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(a (^z.z)))) REDUCED to normal form. ------ 149797/16119003. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a b)((^y.y) a))) 3. ==[ beta ]==> ((b a)((a b)((^y.y) a))) 4. ==[ alpha ]==> ((b a)((a b)((^x.x) a))) 5. ==[ beta ]==> ((b a)((a b) a)) REDUCED to normal form. ------ 149798/16119030. ------ 1. ==[ start ]==> (((a a)(^b.b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 149799/16119057. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)(^x2.x2))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 8. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 149800/16119138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149801/16119165. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 149802/16119363. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> (((a a) b)(a (^y.b))) 6. ==[ alpha ]==> (((a a) b)(a (^x.b))) REDUCED to normal form. ------ 149803/16119390. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(^y1.(a a)))) REDUCED to normal form. ------ 149804/16119417. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 149805/16119444. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 149806/16119471. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a)) b)) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a)) b)) 7. ==[ beta ]==> ((a a)(((^y.y)(a a)) b)) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a)) b)) 9. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 149807/16119498. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a b) c)) REDUCED to normal form. ------ 149808/16119858. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.b))) 3. ==[ beta ]==> (b (c (^z.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 149809/16119966. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.b)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149810/16120047. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.z))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 11. ==[ beta ]==> (((a a)(a a))(^y.y)) 12. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 149811/16120074. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 149812/16120128. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((b a)(b a))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((b a)(b a))((^y.y)(a a))) 6. ==[ alpha ]==> (((b a)(b a))((^x.x)(a a))) 7. ==[ beta ]==> (((b a)(b a))(a a)) REDUCED to normal form. ------ 149813/16120209. ------ 1. ==[ start ]==> (((^a.b)(a b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 149814/16120317. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149815/16120326. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b (a b))) REDUCED to normal form. ------ 149816/16120353. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 149817/16120380. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a b)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a b)(a a))) REDUCED to normal form. ------ 149818/16120578. ------ 1. ==[ start ]==> (((a b)(a b))((a b)(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))((a b)(^x.x))) REDUCED to normal form. ------ 149819/16120605. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 149820/16120632. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.a))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.a)) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 149821/16120686. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 149822/16120713. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 149823/16120740. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a a)(^x.b))) REDUCED to normal form. ------ 149824/16120767. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a b) a)) 2. ==[ alpha ]==> ((a (b (^x.x)))((a b) a)) REDUCED to normal form. ------ 149825/16120857. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(x2 x2))(^y2.(y2 y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(x2 x2))(^y2.(y2 y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149826/16120938. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (b ((^z.z)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 149827/16121082. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b c)((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b c)((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b c)((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((b c)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 149828/16121109. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a)((a a) a))) REDUCED to normal form. ------ 149829/16121154. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(a a))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 149830/16121181. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149831/16121235. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.a)(a (a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 149832/16121316. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 149833/16121424. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149834/16121433. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(b (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(b (^x1.x1))) REDUCED to normal form. ------ 149835/16121460. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(a ((a a) a))) 3. ==[ beta ]==> ((b (^y.a))(a ((a a) a))) 4. ==[ alpha ]==> ((b (^x.a))(a ((a a) a))) REDUCED to normal form. ------ 149836/16121487. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 149837/16121631. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 149838/16121658. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(b a))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(b a))((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)((a (a a))(^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 149839/16121685. ------ 1. ==[ start ]==> ((((a a) a)((a a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a)(^x.x)))(a (^z.a))) 4. ==[ alpha ]==> ((((a a) a)((a a)(^x.x)))(a (^y.a))) REDUCED to normal form. ------ 149840/16121712. ------ 1. ==[ start ]==> (((a b)((^a.a)(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(a a)))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a a))((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 149841/16121739. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 149842/16121766. ------ 1. ==[ start ]==> ((((a a)(^a.a))((a a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))((a a) a))((^z.z) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a) a))((^y.y) a)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a) a)) a) REDUCED to normal form. ------ 149843/16121928. ------ 1. ==[ start ]==> ((a ((^a.(^a.a)) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.(^y.y)) a))((^z.(z z)) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z)) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y)) b)) 5. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 149844/16122018. ------ 1. ==[ start ]==> (((^a.(a a))(^b.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 149845/16122099. ------ 1. ==[ start ]==> (((^a.b)(^c.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149846/16122207. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(^y2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149847/16122324. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a) a)((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a) a)((a a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)((a a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) a)((a a)((^y.y) a))) 5. ==[ beta ]==> (a ((a a)((^y.y) a))) 6. ==[ alpha ]==> (a ((a a)((^x.x) a))) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 149848/16122342. ------ 1. ==[ start ]==> (((^a.a)((^a.(^a.a)) a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z)) a)(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y)) a)(a (^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 149849/16122369. ------ 1. ==[ start ]==> (((^a.(^a.a))(b (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b (^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 149850/16122423. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((b b)((^y.y)((^z.z) a))) 8. ==[ alpha ]==> ((b b)((^x.x)((^y.y) a))) 9. ==[ beta ]==> ((b b)((^y.y) a)) 10. ==[ alpha ]==> ((b b)((^x.x) a)) 11. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 149851/16122504. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b ((^z.z)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 149852/16122513. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 149853/16122540. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(a a)))((a (^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^y.(a a)))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(a a))) REDUCED to normal form. ------ 149854/16122567. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.b))((a a)(a (^z.z)))) REDUCED to normal form. ------ 149855/16122612. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149856/16122621. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b b)) REDUCED to normal form. ------ 149857/16122648. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(a c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(a c)) 3. ==[ beta ]==> ((b (^y.(y y)))(a c)) 4. ==[ alpha ]==> ((b (^x.(x x)))(a c)) REDUCED to normal form. ------ 149858/16122675. ------ 1. ==[ start ]==> ((((a a)(a a))(^b.a))(b (a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.a))(b (a a))) REDUCED to normal form. ------ 149859/16122729. ------ 1. ==[ start ]==> ((((^a.(^a.a)) a)(^a.a))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.(^y.y)) a)(^z.z))((a a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a a))) 5. ==[ beta ]==> ((^y.y)((a a)(a a))) 6. ==[ alpha ]==> ((^x.x)((a a)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 149860/16122747. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 149861/16122765. ------ 1. ==[ start ]==> (((a a)((^a.(^a.a)) a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.(^y.y)) a))((a a)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 149862/16122792. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))((a a) a)) REDUCED to normal form. ------ 149863/16122819. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(a a)))((^y.y) a)) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.y) a)) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x) a)) 5. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 149864/16122845. ------ 1. ==[ start ]==> (^a.((a (a a))((^a.a) b))) 2. ==[ alpha ]==> (^x.((x (x x))((^y.y) b))) 3. ==[ beta ]==> (^x.((x (x x)) b)) REDUCED to normal form. ------ 149865/16122846. ------ 1. ==[ start ]==> (a ((a (a a))((^a.a) b))) 2. ==[ alpha ]==> (a ((a (a a))((^x.x) b))) 3. ==[ beta ]==> (a ((a (a a)) b)) REDUCED to normal form. ------ 149866/16126008. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.((z z)(z z)))) 3. ==[ beta ]==> (((^z.((z z)(z z)))(^z.((z z)(z z))))(^y.y)) 4. ==[ alpha ]==> (((^x.((x x)(x x)))(^y.((y y)(y y))))(^z.z)) 5. ==[ beta ]==> ((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))(^z.z)) 6. ==[ alpha ]==> ((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))(^y1.y1)) 7. ==[ beta ]==> (((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))(^y1.y1)) 8. ==[ alpha ]==> (((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))(^x2.x2)) 9. ==[ beta ]==> ((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))(^x2.x2)) 10. ==[ alpha ]==> ((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))(^z2.z2)) 11. ==[ beta ]==> (((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))(^z2.z2)) 12. ==[ alpha ]==> (((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))(^y3.y3)) 13. ==[ beta ]==> ((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))(^y3.y3)) 14. ==[ alpha ]==> ((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))(^x4.x4)) 15. ==[ beta ]==> (((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))(^x4.x4)) 16. ==[ alpha ]==> (((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))(^z4.z4)) 17. ==[ beta ]==> ((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))(^z4.z4)) 18. ==[ alpha ]==> ((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))(^y5.y5)) 19. ==[ beta ]==> (((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))(^y5.y5)) 20. ==[ alpha ]==> (((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))(^x6.x6)) 21. ==[ beta ]==> ((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))(^x6.x6)) 22. ==[ alpha ]==> ((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))(^z6.z6)) 23. ==[ beta ]==> (((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))(^z6.z6)) 24. ==[ alpha ]==> (((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))(^y7.y7)) 25. ==[ beta ]==> ((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))(^y7.y7)) 26. ==[ alpha ]==> ((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))(^x8.x8)) 27. ==[ beta ]==> (((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))(^x8.x8)) 28. ==[ alpha ]==> (((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))(^z8.z8)) 29. ==[ beta ]==> ((((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))(^z8.z8)) 30. ==[ alpha ]==> ((((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))(^y9.y9)) 31. ==[ beta ]==> (((((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))(^y9.y9)) 32. ==[ alpha ]==> (((((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))((^y9.((y9 y9)(y9 y9)))(^z9.((z9 z9)(z9 z9)))))(^x10.x10)) 33. ==[ beta ]==> ((((((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))((^y9.((y9 y9)(y9 y9)))(^z9.((z9 z9)(z9 z9)))))(^x10.x10)) 34. ==[ alpha ]==> ((((((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))((^y9.((y9 y9)(y9 y9)))(^z9.((z9 z9)(z9 z9)))))((^x10.((x10 x10)(x10 x10)))(^y10.((y10 y10)(y10 y10)))))(^z10.z10)) 35. ==[ beta ]==> (((((((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))((^y9.((y9 y9)(y9 y9)))(^z9.((z9 z9)(z9 z9)))))((^x10.((x10 x10)(x10 x10)))(^y10.((y10 y10)(y10 y10)))))(^z10.z10)) UNREDUCED: maximal number of reductions reached. ------ 149867/16129518. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (((^y.((y y)(^z.z)))(^y.((y y)(^z.z))))((^y.((y y)(^z.z)))(^y.((y y)(^z.z))))) 4. ==[ alpha ]==> (((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))((^y1.((y1 y1)(^z1.z1)))(^x2.((x2 x2)(^y2.y2))))) 5. ==[ beta ]==> ((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))((^y1.((y1 y1)(^z1.z1)))(^x2.((x2 x2)(^y2.y2))))) 6. ==[ alpha ]==> ((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))((^z1.((z1 z1)(^x2.x2)))(^y2.((y2 y2)(^z2.z2))))) 7. ==[ beta ]==> (((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))((^z1.((z1 z1)(^x2.x2)))(^y2.((y2 y2)(^z2.z2))))) 8. ==[ alpha ]==> (((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))((^x2.((x2 x2)(^y2.y2)))(^z2.((z2 z2)(^x3.x3))))) 9. ==[ beta ]==> ((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))((^x2.((x2 x2)(^y2.y2)))(^z2.((z2 z2)(^x3.x3))))) 10. ==[ alpha ]==> ((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))((^y2.((y2 y2)(^z2.z2)))(^x3.((x3 x3)(^y3.y3))))) 11. ==[ beta ]==> (((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))((^y2.((y2 y2)(^z2.z2)))(^x3.((x3 x3)(^y3.y3))))) 12. ==[ alpha ]==> (((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))((^z2.((z2 z2)(^x3.x3)))(^y3.((y3 y3)(^z3.z3))))) 13. ==[ beta ]==> ((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))((^z2.((z2 z2)(^x3.x3)))(^y3.((y3 y3)(^z3.z3))))) 14. ==[ alpha ]==> ((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))((^x3.((x3 x3)(^y3.y3)))(^z3.((z3 z3)(^x4.x4))))) 15. ==[ beta ]==> (((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))((^x3.((x3 x3)(^y3.y3)))(^z3.((z3 z3)(^x4.x4))))) 16. ==[ alpha ]==> (((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))((^y3.((y3 y3)(^z3.z3)))(^x4.((x4 x4)(^y4.y4))))) 17. ==[ beta ]==> ((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))((^y3.((y3 y3)(^z3.z3)))(^x4.((x4 x4)(^y4.y4))))) 18. ==[ alpha ]==> ((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))((^z3.((z3 z3)(^x4.x4)))(^y4.((y4 y4)(^z4.z4))))) 19. ==[ beta ]==> (((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))((^z3.((z3 z3)(^x4.x4)))(^y4.((y4 y4)(^z4.z4))))) 20. ==[ alpha ]==> (((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))((^x4.((x4 x4)(^y4.y4)))(^z4.((z4 z4)(^x5.x5))))) 21. ==[ beta ]==> ((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))((^x4.((x4 x4)(^y4.y4)))(^z4.((z4 z4)(^x5.x5))))) 22. ==[ alpha ]==> ((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))((^y4.((y4 y4)(^z4.z4)))(^x5.((x5 x5)(^y5.y5))))) 23. ==[ beta ]==> (((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))((^y4.((y4 y4)(^z4.z4)))(^x5.((x5 x5)(^y5.y5))))) 24. ==[ alpha ]==> (((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))((^z4.((z4 z4)(^x5.x5)))(^y5.((y5 y5)(^z5.z5))))) 25. ==[ beta ]==> ((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))((^z4.((z4 z4)(^x5.x5)))(^y5.((y5 y5)(^z5.z5))))) 26. ==[ alpha ]==> ((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))((^x5.((x5 x5)(^y5.y5)))(^z5.((z5 z5)(^x6.x6))))) 27. ==[ beta ]==> (((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))((^x5.((x5 x5)(^y5.y5)))(^z5.((z5 z5)(^x6.x6))))) 28. ==[ alpha ]==> (((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))((^y5.((y5 y5)(^z5.z5)))(^x6.((x6 x6)(^y6.y6))))) 29. ==[ beta ]==> ((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))((^y5.((y5 y5)(^z5.z5)))(^x6.((x6 x6)(^y6.y6))))) 30. ==[ alpha ]==> ((((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))((^z5.((z5 z5)(^x6.x6)))(^y6.((y6 y6)(^z6.z6))))) 31. ==[ beta ]==> (((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))((^z5.((z5 z5)(^x6.x6)))(^y6.((y6 y6)(^z6.z6))))) 32. ==[ alpha ]==> (((((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))((^x6.((x6 x6)(^y6.y6)))(^z6.((z6 z6)(^x7.x7))))) 33. ==[ beta ]==> ((((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))((^x6.((x6 x6)(^y6.y6)))(^z6.((z6 z6)(^x7.x7))))) 34. ==[ alpha ]==> ((((((((((((((((((^x.((x x)(^y.y)))(^z.((z z)(^x1.x1))))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))(^x6.x6))((^y6.((y6 y6)(^z6.z6)))(^x7.((x7 x7)(^y7.y7))))) 35. ==[ beta ]==> (((((((((((((((((((^z.((z z)(^x1.x1)))(^z.((z z)(^x1.x1))))(^y.y))(^y1.y1))(^z1.z1))(^x2.x2))(^y2.y2))(^z2.z2))(^x3.x3))(^y3.y3))(^z3.z3))(^x4.x4))(^y4.y4))(^z4.z4))(^x5.x5))(^y5.y5))(^z5.z5))(^x6.x6))((^y6.((y6 y6)(^z6.z6)))(^x7.((x7 x7)(^y7.y7))))) UNREDUCED: maximal number of reductions reached. ------ 149868/16132578. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))(^b.b)) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))(^x1.x1)) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 149869/16132680. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b)) a) 2. ==[ alpha ]==> (((a (a a))((^x.x) b)) a) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 149870/16132686. ------ 1. ==[ start ]==> ((^a.a)((a (a a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) b))) 3. ==[ beta ]==> ((a (a a))((^y.y) b)) 4. ==[ alpha ]==> ((a (a a))((^x.x) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 149871/16132713. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((a a)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((a a)(a a)))(((^y.y) a)((a a)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((a a)(a a)))(((^y.y) a)((a a)(a a)))) 5. ==[ beta ]==> ((a ((a a)(a a)))(((^y.y) a)((a a)(a a)))) 6. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x) a)((a a)(a a)))) 7. ==[ beta ]==> ((a ((a a)(a a)))(a ((a a)(a a)))) REDUCED to normal form. ------ 149872/16132740. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(b (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 149873/16132788. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(z (^x1.x1))))) 3. ==[ beta ]==> (b (^y.(^z.(z (^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(^y.(y (^z.z))))) REDUCED to normal form. ------ 149874/16132938. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((b a)(^z.a))) 3. ==[ beta ]==> (^y.((b a)(^z.a))) 4. ==[ alpha ]==> (^x.((b a)(^y.a))) REDUCED to normal form. ------ 149875/16133607. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.((^y.(^z.z)) x))) 3. ==[ eta ]==> (((a (a a))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 149876/16133631. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((b (^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149877/16134381. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 149878/16134396. ------ 1. ==[ start ]==> ((^a.(^a.b))((b (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((b (^z.z)) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 149879/16135488. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 149880/16135845. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((a ((a a)(a a)))(a ((a a)(a a))))(^y.y)) 4. ==[ alpha ]==> (((a ((a a)(a a)))(a ((a a)(a a))))(^x.x)) REDUCED to normal form. ------ 149881/16135848. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((y y)(y y)))) REDUCED to normal form. ------ 149882/16136838. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 149883/16137756. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.(^z1.(^x2.x2))))) REDUCED to normal form. ------ 149884/16138323. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(x1 a))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149885/16138863. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(^d.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 149886/16139355. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a ((a a)(^y.y)))) 3. ==[ beta ]==> (((a ((a a)(^y.y)))(a ((a a)(^y.y))))((a ((a a)(^y.y)))(a ((a a)(^y.y))))) 4. ==[ alpha ]==> (((a ((a a)(^x.x)))(a ((a a)(^y.y))))((a ((a a)(^z.z)))(a ((a a)(^x1.x1))))) REDUCED to normal form. ------ 149887/16139358. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 149888/16139799. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 149889/16140024. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 149890/16141131. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 149891/16141275. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a b)(^x.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 149892/16141596. ------ 1. ==[ start ]==> ((^a.((^a.(^a.a)) a))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.(^z.z)) x))((a (a a))(a a))) 3. ==[ eta ]==> ((^y.(^z.z))((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149893/16142094. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) b))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))(^z.(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))(^z.(^x1.a))) 5. ==[ beta ]==> ((b ((^y.y) b))(^z.(^x1.a))) 6. ==[ alpha ]==> ((b ((^x.x) b))(^y.(^z.a))) 7. ==[ beta ]==> ((b b)(^y.(^z.a))) 8. ==[ alpha ]==> ((b b)(^x.(^y.a))) REDUCED to normal form. ------ 149894/16142103. ------ 1. ==[ start ]==> (((a (a a))(^b.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 149895/16142175. ------ 1. ==[ start ]==> (((^a.b)((a a)(^a.a)))(^c.c)) 2. ==[ alpha ]==> (((^x.b)((a a)(^y.y)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 149896/16142184. ------ 1. ==[ start ]==> (((a b)(^c.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 149897/16142319. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(y y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.(y y)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.(x x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 149898/16142415. ------ 1. ==[ start ]==> ((^a.(^a.(a (^a.a))))((^a.a) b)) 2. ==[ alpha ]==> ((^x.(^y.(y (^z.z))))((^x1.x1) b)) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 149899/16142418. ------ 1. ==[ start ]==> ((a (^a.(a (^a.a))))(^b.b)) 2. ==[ alpha ]==> ((a (^x.(x (^y.y))))(^z.z)) REDUCED to normal form. ------ 149900/16142463. ------ 1. ==[ start ]==> (((a (^a.a))(b (^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))(b (^y.y)))(^z.b)) REDUCED to normal form. ------ 149901/16142490. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(a a)))(^y.(y y))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.(y y))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(x x))) REDUCED to normal form. ------ 149902/16142517. ------ 1. ==[ start ]==> (((a (a a))((^a.a) b))(^a.a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) b))(^y.y)) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 149903/16142529. ------ 1. ==[ start ]==> ((a a)((a (a a))((^a.a) b))) 2. ==[ alpha ]==> ((a a)((a (a a))((^x.x) b))) 3. ==[ beta ]==> ((a a)((a (a a)) b)) REDUCED to normal form. ------ 149904/16142556. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a)((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))(a ((a a)(a a)))) REDUCED to normal form. ------ 149905/16142583. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(b (^y.y)))) REDUCED to normal form. ------ 149906/16142628. ------ 1. ==[ start ]==> (((^a.a) b)(a (^a.(a (^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)(a (^y.(y (^z.z))))) 3. ==[ beta ]==> (b (a (^y.(y (^z.z))))) 4. ==[ alpha ]==> (b (a (^x.(x (^y.y))))) REDUCED to normal form. ------ 149907/16142673. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((b (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((b (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149908/16142700. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a)(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.a)) 6. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 149909/16142727. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))(b (^z.(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 149910/16142736. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.b)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 149911/16142754. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.(^a.a)))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 149912/16142763. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.(^a.a)))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 149913/16142781. ------ 1. ==[ start ]==> ((a (^b.a))((b a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))((b a)(^y.a))) REDUCED to normal form. ------ 149914/16142817. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149915/16142862. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 149916/16142898. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(b a))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 149917/16142925. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 149918/16142943. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (a a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))(^z.z))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(^z.z))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.y))) 5. ==[ beta ]==> (a ((a (a a))(^y.y))) 6. ==[ alpha ]==> (a ((a (a a))(^x.x))) REDUCED to normal form. ------ 149919/16142952. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.a))(((^z.z) b)((^z.z) b))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) b)((^z.z) b))) 5. ==[ beta ]==> (((a a)(^x.a))(b ((^z.z) b))) 6. ==[ alpha ]==> (((a a)(^x.a))(b ((^y.y) b))) 7. ==[ beta ]==> (((a a)(^x.a))(b b)) REDUCED to normal form. ------ 149920/16142979. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 149921/16143006. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(b (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(b (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(b (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 149922/16143249. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 149923/16143276. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 149924/16143330. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 149925/16143420. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b (b (^z.z)))) 3. ==[ beta ]==> ((a (a (^y.y)))(b (b (^z.z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (b (^y.y)))) REDUCED to normal form. ------ 149926/16143447. ------ 1. ==[ start ]==> (((a (a a))(a a))(a ((^a.(^a.a)) a))) 2. ==[ alpha ]==> (((a (a a))(a a))(a ((^x.(^y.y)) a))) 3. ==[ beta ]==> (((a (a a))(a a))(a (^y.y))) 4. ==[ alpha ]==> (((a (a a))(a a))(a (^x.x))) REDUCED to normal form. ------ 149927/16143474. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b (^a.a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b (^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.y))((b (^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((b (^y.y))(a a))) REDUCED to normal form. ------ 149928/16143771. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z) b))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) b))) 7. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 149929/16143798. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 149930/16143825. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(b (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a a)(b (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(b (^y.y)))) 6. ==[ alpha ]==> ((a a)((a a)(b (^x.x)))) REDUCED to normal form. ------ 149931/16143942. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 149932/16143996. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(^z.z))(^x1.a))) 5. ==[ beta ]==> (a (((a a)(^z.z))(^x1.a))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 149933/16144032. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))(a b))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(a b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(a b))) 5. ==[ beta ]==> (b ((^y.(a a))(a b))) 6. ==[ alpha ]==> (b ((^x.(a a))(a b))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 149934/16144059. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.b)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 149935/16144113. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 149936/16144140. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.(x x)))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 149937/16144158. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.z))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(^z.z))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.y))) 9. ==[ beta ]==> ((a a)(a (^y.y))) 10. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 149938/16144167. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 149939/16144194. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149940/16144221. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(b (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 149941/16144239. ------ 1. ==[ start ]==> ((a (^a.b))((b (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.b))((b (^y.y)) a)) REDUCED to normal form. ------ 149942/16144410. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a))(^z.b))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.b))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.b))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 149943/16144572. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 149944/16144824. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(a b))(((a a) a)(a a))) REDUCED to normal form. ------ 149945/16144851. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(^y.y))) REDUCED to normal form. ------ 149946/16144878. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (a a))(b a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a))(b a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(b a))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(b a))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(b a))) REDUCED to normal form. ------ 149947/16144905. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 149948/16144932. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((^z.z) b))) 7. ==[ beta ]==> (a ((a (^y.y))((^z.z) b))) 8. ==[ alpha ]==> (a ((a (^x.x))((^y.y) b))) 9. ==[ beta ]==> (a ((a (^x.x)) b)) REDUCED to normal form. ------ 149949/16144959. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 149950/16145022. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149951/16145049. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 149952/16145103. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 149953/16145184. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> (b (((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 149954/16145193. ------ 1. ==[ start ]==> (((a b) b)((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 149955/16145220. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 149956/16145247. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((b a)(b a))) REDUCED to normal form. ------ 149957/16145265. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 149958/16145274. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 149959/16145328. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 149960/16145382. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 149961/16145400. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.(^x1.x1))) c)) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1))) c)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 149962/16145409. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 149963/16145625. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 149964/16145634. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (a (^y.(^z.z))))) REDUCED to normal form. ------ 149965/16145661. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(b ((^y.y) b))) 3. ==[ beta ]==> (((a a)(a a))(b ((^y.y) b))) 4. ==[ alpha ]==> (((a a)(a a))(b ((^x.x) b))) 5. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 149966/16145688. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((a a)(a a)))) REDUCED to normal form. ------ 149967/16145724. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1) b)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 149968/16145976. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 149969/16146003. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (^z.z))) 3. ==[ beta ]==> ((a (^y.b))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(b (^y.y))) REDUCED to normal form. ------ 149970/16146057. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149971/16146084. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 149972/16146102. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((b a)(^z.a))) 3. ==[ beta ]==> (b ((b a)(^z.a))) 4. ==[ alpha ]==> (b ((b a)(^x.a))) REDUCED to normal form. ------ 149973/16146165. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 149974/16146678. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 149975/16146723. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((b a)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((b a)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 149976/16147272. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149977/16147290. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149978/16147371. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a)(^z.z)) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a)(^z.z)) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a)(^z.z)) c)) 5. ==[ beta ]==> ((a a)(((a a)(^z.z)) c)) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x)) c)) REDUCED to normal form. ------ 149979/16147596. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 149980/16147614. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 149981/16148163. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1)(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149982/16148208. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 5. ==[ beta ]==> (((a a)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 149983/16148649. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(c (^z.(a a)))) 6. ==[ alpha ]==> ((^x.(a a))(c (^y.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149984/16148676. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 149985/16148703. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (^d.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.a))) REDUCED to normal form. ------ 149986/16148730. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 149987/16148757. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 149988/16148802. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((a a) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149989/16148838. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 149990/16149171. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((b (a a))(b ((^y.y)(a a)))) 4. ==[ alpha ]==> ((b (a a))(b ((^x.x)(a a)))) 5. ==[ beta ]==> ((b (a a))(b (a a))) REDUCED to normal form. ------ 149991/16149198. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 149992/16149234. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 149993/16149477. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 149994/16149513. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((b b)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((b b)((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 149995/16149540. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 149996/16149558. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 149997/16149585. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 149998/16149594. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 149999/16149621. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(a b))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 150000/16149639. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a)(^y.(a a)))) 3. ==[ beta ]==> (((b a)(b a))((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((b a)(b a))((a a)(^x.(a a)))) REDUCED to normal form.